diff --git a/changelog b/changelog index 857fe9b..c83bc01 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20100620 tpd src/axiom-website/patches.html 20100620.02.tpd.patch +20100620 tpd src/input/Makefile error function integration +20100620 tpd src/input/richerror000-078.input error function integration 20100620 tpd src/axiom-website/patches.html 20100620.01.tpd.patch 20100620 tpd src/input/Makefile rule-based inverse hyperbolic integration 20100620 tpd src/input/richinvhyper200-296.input inverse hyperbolic int. diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 031e771..534a6f2 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2928,6 +2928,8 @@ src/input/richinvhyper000-099.input inverse hyperbolic integration
src/input/richinvhyper100-199.input inverse hyperbolic int.
20100620.01.tpd.patch src/input/richinvhyper200-296.input inverse hyperbolic int.
+20100620.02.tpd.patch +src/input/richerror000-078.input error function integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index a2974d2..d019c1c 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -374,6 +374,7 @@ REGRES= ackermann.regress \ richalgebraic200-299.regress \ richalgebraic300-399.regress \ richalgebraic400-461.regress \ + richerror000-078.regress \ richexponential.regress \ richhyper000-099.regress \ richhyper100-199.regress \ @@ -722,6 +723,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richalgebraic200-299.input \ ${OUT}/richalgebraic300-399.input \ ${OUT}/richalgebraic400-461.input \ + ${OUT}/richerror000-078.input \ ${OUT}/richexponential.input \ ${OUT}/richhyper000-099.input \ ${OUT}/richhyper100-199.input \ @@ -1099,6 +1101,7 @@ DOCFILES= \ ${DOC}/richalgebraic200-299.input.dvi \ ${DOC}/richalgebraic300-399.input.dvi \ ${DOC}/richalgebraic400-461.input.dvi \ + ${DOC}/richerror000-078.input.dvi \ ${DOC}/richexponential.input.dvi \ ${DOC}/richhyper000-099.input.dvi \ ${DOC}/richhyper100-199.input.dvi \ diff --git a/src/input/richerror000-078.input.pamphlet b/src/input/richerror000-078.input.pamphlet new file mode 100644 index 0000000..53f8a22 --- /dev/null +++ b/src/input/richerror000-078.input.pamphlet @@ -0,0 +1,4011 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richerror000-078.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richerror000-078.output +)spool richerror000-078.output +)set message auto off +)clear all + +--S 1 of 395 +t0000:= erf(b*x)^2/x^7 +--R +--R +--R 2 +--R erf(b x) +--R (1) --------- +--R 7 +--R x +--R Type: Expression Integer +--E 1 + +--S 2 of 395 +r0000:= -1/15*b^2/(exp(1)^(2*b^2*x^2))/%pi/x^4+2/9*b^4/_ + (exp(1)^(2*b^2*x^2))/%pi/x^2-2/45*b*(3-2*b^2*x^2+_ + 4*b^4*x^4)*erf(b*x)/(exp(1)^(b^2*x^2))/%pi^(1/2)/_ + x^5-4/45*b^6*erf(b*x)^2-1/6*erf(b*x)^2/x^6+_ + 28/45*b^6*Ei(-2*b^2*x^2)/%pi +--R +--R +--R (2) +--R 2 2 2 2 +--R 6 6 2 6 6 2 2 b x 2b x +--R ((- 8b %pi x - 15%pi)erf(b x) + 56b x Ei(- 2b x ))%e %e +--R + +--R 2 2 +--R 4 4 2 2 b x +--R (20b x - 6b x )%e +--R * +--R +---+ +--R \|%pi +--R + +--R 2 2 +--R 5 5 3 3 2b x +--R (- 16b %pi x + 8b %pi x - 12b %pi x)erf(b x)%e +--R / +--R 2 2 2 2 +--R 6 b x 2b x +---+ +--R 90%pi x %e %e \|%pi +--R Type: Expression Integer +--E 2 + +--S 3 of 395 +a0000:= integrate(t0000,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 3 + +--S 4 of 395 +--m0000:= a0000-r0000 +--E 4 + +--S 5 of 395 +--d0000:= D(m0000,x) +--E 5 + +--S 6 of 395 +t0001:= erf(b*x)^2/x^5 +--R +--R +--R 2 +--R erf(b x) +--R (3) --------- +--R 5 +--R x +--R Type: Expression Integer +--E 6 + +--S 7 of 395 +r0001:= -1/3*b^2/(exp(1)^(2*b^2*x^2))/%pi/x^2-_ + 1/3*b*(1-2*b^2*x^2)*erf(b*x)/(exp(1)^(b^2*x^2))/%pi^(1/2)/x^3+_ + 1/3*b^4*erf(b*x)^2-1/4*erf(b*x)^2/x^4-4/3*b^4*Ei(-2*b^2*x^2)/%pi +--R +--R +--R (4) +--R 2 2 2 2 +--R 4 4 2 4 4 2 2 b x 2b x +--R ((4b %pi x - 3%pi)erf(b x) - 16b x Ei(- 2b x ))%e %e +--R + +--R 2 2 +--R 2 2 b x +--R - 4b x %e +--R * +--R +---+ +--R \|%pi +--R + +--R 2 2 +--R 3 3 2b x +--R (8b %pi x - 4b %pi x)erf(b x)%e +--R / +--R 2 2 2 2 +--R 4 b x 2b x +---+ +--R 12%pi x %e %e \|%pi +--R Type: Expression Integer +--E 7 + +--S 8 of 395 +a0001:= integrate(t0001,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 8 + +--S 9 of 395 +--m0001:= a0001-r0001 +--E 9 + +--S 10 of 395 +--d0001:= D(m0001,x) +--E 10 + +--S 11 of 395 +t0002:= erf(b*x)^2/x^3 +--R +--R +--R 2 +--R erf(b x) +--R (5) --------- +--R 3 +--R x +--R Type: Expression Integer +--E 11 + +--S 12 of 395 +r0002:= -2*b*erf(b*x)/(exp(1)^(b^2*x^2))/%pi^(1/2)/x-b^2*erf(b*x)^2-_ + 1/2*erf(b*x)^2/x^2+2*b^2*Ei(-2*b^2*x^2)/%pi +--R +--R +--R (6) +--R 2 2 +--R 2 2 2 2 2 2 2 b x +---+ +--R ((- 2b %pi x - %pi)erf(b x) + 4b x Ei(- 2b x ))%e \|%pi +--R + +--R - 4b %pi x erf(b x) +--R / +--R 2 2 +--R 2 b x +---+ +--R 2%pi x %e \|%pi +--R Type: Expression Integer +--E 12 + +--S 13 of 395 +a0002:= integrate(t0002,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 13 + +--S 14 of 395 +--m0002:= a0002-r0002 +--E 14 + +--S 15 of 395 +--d0002:= D(m0002,x) +--E 15 + +--S 16 of 395 +t0003:= x*erf(b*x)^2 +--R +--R +--R 2 +--R (7) x erf(b x) +--R Type: Expression Integer +--E 16 + +--S 17 of 395 +r0003:= 1/2/(exp(1)^(2*b^2*x^2))/b^2/%pi+x*erf(b*x)/(exp(1)^(b^2*x^2))/_ + b/%pi^(1/2)-1/4*erf(b*x)^2/b^2+1/2*x^2*erf(b*x)^2 +--R +--R +--R (8) +--R 2 2 2 2 2 2 +--R 2 2 2 b x 2b x b x +---+ +--R ((2b %pi x - %pi)erf(b x) %e %e + 2%e )\|%pi +--R + +--R 2 2 +--R 2b x +--R 4b %pi x erf(b x)%e +--R / +--R 2 2 2 2 +--R 2 b x 2b x +---+ +--R 4b %pi %e %e \|%pi +--R Type: Expression Integer +--E 17 + +--S 18 of 395 +a0003:= integrate(t0003,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 18 + +--S 19 of 395 +--m0003:= a0003-r0003 +--E 19 + +--S 20 of 395 +--d0003:= D(m0003,x) +--E 20 + +--S 21 of 395 +t0004:= x^3*erf(b*x)^2 +--R +--R +--R 3 2 +--R (9) x erf(b x) +--R Type: Expression Integer +--E 21 + +--S 22 of 395 +r0004:= 1/2/(exp(1)^(2*b^2*x^2))/b^4/%pi+1/4*x^2/(exp(1)^(2*b^2*x^2))/b^2/%pi+_ + 1/4*x*(3+2*b^2*x^2)*erf(b*x)/(exp(1)^(b^2*x^2))/b^3/%pi^(1/2)-_ + 3/16*erf(b*x)^2/b^4+1/4*x^4*erf(b*x)^2 +--R +--R +--R (10) +--R 2 2 2 2 2 2 +--R 4 4 2 b x 2b x 2 2 b x +---+ +--R ((4b %pi x - 3%pi)erf(b x) %e %e + (4b x + 8)%e )\|%pi +--R + +--R 2 2 +--R 3 3 2b x +--R (8b %pi x + 12b %pi x)erf(b x)%e +--R / +--R 2 2 2 2 +--R 4 b x 2b x +---+ +--R 16b %pi %e %e \|%pi +--R Type: Expression Integer +--E 22 + +--S 23 of 395 +a0004:= integrate(t0004,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 23 + +--S 24 of 395 +--m0004:= a0004-r0004 +--E 24 + +--S 25 of 395 +--d0004:= D(m0004,x) +--E 25 + +--S 26 of 395 +t0005:= x^5*erf(b*x)^2 +--R +--R +--R 5 2 +--R (11) x erf(b x) +--R Type: Expression Integer +--E 26 + +--S 27 of 395 +r0005:= 11/12/(exp(1)^(2*b^2*x^2))/b^6/%pi+7/12*x^2/(exp(1)^(2*b^2*x^2))/_ + b^4/%pi+1/6*x^4/(exp(1)^(2*b^2*x^2))/b^2/%pi+1/12*x*(15+10*b^2*x^2+_ + 4*b^4*x^4)*erf(b*x)/(exp(1)^(b^2*x^2))/b^5/%pi^(1/2)-_ + 5/16*erf(b*x)^2/b^6+1/6*x^6*erf(b*x)^2 +--R +--R +--R (12) +--R 2 2 2 2 +--R 6 6 2 b x 2b x +--R (8b %pi x - 15%pi)erf(b x) %e %e +--R + +--R 2 2 +--R 4 4 2 2 b x +--R (8b x + 28b x + 44)%e +--R * +--R +---+ +--R \|%pi +--R + +--R 2 2 +--R 5 5 3 3 2b x +--R (16b %pi x + 40b %pi x + 60b %pi x)erf(b x)%e +--R / +--R 2 2 2 2 +--R 6 b x 2b x +---+ +--R 48b %pi %e %e \|%pi +--R Type: Expression Integer +--E 27 + +--S 28 of 395 +a0005:= integrate(t0005,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 28 + +--S 29 of 395 +--m0005:= a0005-r0005 +--E 29 + +--S 30 of 395 +--d0005:= D(m0005,x) +--E 30 + +--S 31 of 395 +t0006:= x*erf(a+b*x)^2 +--R +--R +--R 2 +--R (13) x erf(b x + a) +--R Type: Expression Integer +--E 31 + +--S 32 of 395 +r0006:= 1/4/b^2*(2/(exp(1)^(2*(a+b*x)^2))/%pi-_ + 4*(a-b*x)*erf(a+b*x)/exp((a+b*x)^2)/%pi^(1/2)-erf(a+b*x)^2-_ + 4*a*(a+b*x)*erf(a+b*x)^2+2*(a+b*x)^2*erf(a+b*x)^2+_ + 4*a*2^(1/2)/%pi^(1/2)*erf(2^(1/2)*(a+b*x))) +--R +--R +--R (14) +--R 2 2 2 +--R 2 2 2 2 b x + 2a b x + a +--R (2b %pi x + (- 2a - 1)%pi)erf(b x + a) %e +--R * +--R 2 2 2 +--R 2b x + 4a b x + 2a +--R %e +--R + +--R 2 2 2 +--R b x + 2a b x + a +--R 2%e +--R * +--R +---+ +--R \|%pi +--R + +--R 2 2 2 +--R +-+ +-+ b x + 2a b x + a +--R 4a %pi\|2 erf((b x + a)\|2 )%e +--R + +--R (4b %pi x - 4a %pi)erf(b x + a) +--R * +--R 2 2 2 +--R 2b x + 4a b x + 2a +--R %e +--R / +--R 2 2 2 2 2 2 +--R 2 b x + 2a b x + a 2b x + 4a b x + 2a +---+ +--R 4b %pi %e %e \|%pi +--R Type: Expression Integer +--E 32 + +--S 33 of 395 +a0006:= integrate(t0006,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 33 + +--S 34 of 395 +--m0006:= a0006-r0006 +--E 34 + +--S 35 of 395 +--d0006:= D(m0006,x) +--E 35 + +--S 36 of 395 +t0007:= x^2*erf(a+b*x)^2 +--R +--R +--R 2 2 +--R (15) x erf(b x + a) +--R Type: Expression Integer +--E 36 + +--S 37 of 395 +r0007:= -1/6/b^3*(4*a/(exp(1)^(2*(a+b*x)^2))/%pi-_ + 2*b*x/(exp(1)^(2*(a+b*x)^2))/%pi-_ + 4*(1+a^2-a*b*x+b^2*x^2)*erf(a+b*x)/exp((a+b*x)^2)/%pi^(1/2)-_ + 3*a*erf(a+b*x)^2-6*a^2*(a+b*x)*erf(a+b*x)^2+_ + 6*a*(a+b*x)^2*erf(a+b*x)^2-2*(a+b*x)^3*erf(a+b*x)^2+_ + 1/2*(5+12*a^2)*erf(2^(1/2)*(a+b*x))*2^(1/2)/%pi^(1/2)) +--R +--R +--R (16) +--R 2 2 2 +--R 3 3 3 2 b x + 2a b x + a +--R (4b %pi x + (4a + 6a)%pi)erf(b x + a) %e +--R * +--R 2 2 2 +--R 2b x + 4a b x + 2a +--R %e +--R + +--R 2 2 2 +--R b x + 2a b x + a +--R (4b x - 8a)%e +--R * +--R +---+ +--R \|%pi +--R + +--R 2 2 2 +--R 2 +-+ +-+ b x + 2a b x + a +--R (- 12a - 5)%pi\|2 erf((b x + a)\|2 )%e +--R + +--R 2 2 2 +--R (8b %pi x - 8a b %pi x + (8a + 8)%pi)erf(b x + a) +--R * +--R 2 2 2 +--R 2b x + 4a b x + 2a +--R %e +--R / +--R 2 2 2 2 2 2 +--R 3 b x + 2a b x + a 2b x + 4a b x + 2a +---+ +--R 12b %pi %e %e \|%pi +--R Type: Expression Integer +--E 37 + +--S 38 of 395 +a0007:= integrate(t0007,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 38 + +--S 39 of 395 +--m0007:= a0007-r0007 +--E 39 + +--S 40 of 395 +--d0007:= D(m0007,x) +--E 40 + +--S 41 of 395 +t0008:= exp(1)^(-b^2*x^2)*erf(b*x)/x^8 +--R +--R +--R 2 2 +--R - b x +--R erf(b x)%e +--R (17) ---------------- +--R 8 +--R x +--R Type: Expression Integer +--E 41 + +--S 42 of 395 +r0008:= -1/21*b/(exp(1)^(2*b^2*x^2))/%pi^(1/2)/x^6+_ + 8/105*b^3/(exp(1)^(2*b^2*x^2))/%pi^(1/2)/x^4-_ + 4/21*b^5/(exp(1)^(2*b^2*x^2))/%pi^(1/2)/x^2-1/105*(15-6*b^2*x^2+_ + 4*b^4*x^4-8*b^6*x^6)*erf(b*x)/(exp(1)^(b^2*x^2))/x^7+_ + 4/105*b^7*%pi^(1/2)*erf(b*x)^2-16/35*b^7*Ei(-2*b^2*x^2)/%pi^(1/2) +--R +--R +--R (18) +--R 2 2 +--R 6 6 4 4 2 2 2b x +---+ +--R (8b x - 4b x + 6b x - 15)erf(b x)%e \|%pi +--R + +--R 2 2 2 2 +--R 7 7 2 7 7 2 2 b x 2b x +--R (4b %pi x erf(b x) - 48b x Ei(- 2b x ))%e %e +--R + +--R 2 2 +--R 5 5 3 3 b x +--R (- 20b x + 8b x - 5b x)%e +--R / +--R 2 2 2 2 +--R 7 b x 2b x +---+ +--R 105x %e %e \|%pi +--R Type: Expression Integer +--E 42 + +--S 43 of 395 +a0008:= integrate(t0008,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 43 + +--S 44 of 395 +--m0008:= a0008-r0008 +--E 44 + +--S 45 of 395 +--d0008:= D(m0008,x) +--E 45 + +--S 46 of 395 +t0009:= exp(1)^(-b^2*x^2)*erf(b*x)/x^6 +--R +--R +--R 2 2 +--R - b x +--R erf(b x)%e +--R (19) ---------------- +--R 6 +--R x +--R Type: Expression Integer +--E 46 + +--S 47 of 395 +r0009:= -1/10*b/(exp(1)^(2*b^2*x^2))/%pi^(1/2)/x^4+_ + 1/3*b^3/(exp(1)^(2*b^2*x^2))/%pi^(1/2)/x^2-_ + 1/15*(3-2*b^2*x^2+4*b^4*x^4)*erf(b*x)/(exp(1)^(b^2*x^2))/x^5-_ + 2/15*b^5*%pi^(1/2)*erf(b*x)^2+14/15*b^5*Ei(-2*b^2*x^2)/%pi^(1/2) +--R +--R +--R (20) +--R 2 2 +--R 4 4 2 2 2b x +---+ +--R (- 8b x + 4b x - 6)erf(b x)%e \|%pi +--R + +--R 2 2 2 2 +--R 5 5 2 5 5 2 2 b x 2b x +--R (- 4b %pi x erf(b x) + 28b x Ei(- 2b x ))%e %e +--R + +--R 2 2 +--R 3 3 b x +--R (10b x - 3b x)%e +--R / +--R 2 2 2 2 +--R 5 b x 2b x +---+ +--R 30x %e %e \|%pi +--R Type: Expression Integer +--E 47 + +--S 48 of 395 +a0009:= integrate(t0009,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 48 + +--S 49 of 395 +--m0009:= a0009-r0009 +--E 49 + +--S 50 of 395 +--d0009:= D(m0009,x) +--E 50 + +--S 51 of 395 +t0010:= exp(1)^(-b^2*x^2)*erf(b*x)/x^4 +--R +--R +--R 2 2 +--R - b x +--R erf(b x)%e +--R (21) ---------------- +--R 4 +--R x +--R Type: Expression Integer +--E 51 + +--S 52 of 395 +r0010:= -1/3*b/(exp(1)^(2*b^2*x^2))/%pi^(1/2)/x^2-_ + 1/3*(1-2*b^2*x^2)*erf(b*x)/(exp(1)^(b^2*x^2))/x^3+_ + 1/3*b^3*%pi^(1/2)*erf(b*x)^2-4/3*b^3*Ei(-2*b^2*x^2)/%pi^(1/2) +--R +--R +--R (22) +--R 2 2 +--R 2 2 2b x +---+ +--R (2b x - 1)erf(b x)%e \|%pi +--R + +--R 2 2 2 2 2 2 +--R 3 3 2 3 3 2 2 b x 2b x b x +--R (b %pi x erf(b x) - 4b x Ei(- 2b x ))%e %e - b x %e +--R / +--R 2 2 2 2 +--R 3 b x 2b x +---+ +--R 3x %e %e \|%pi +--R Type: Expression Integer +--E 52 + +--S 53 of 395 +a0010:= integrate(t0010,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 53 + +--S 54 of 395 +--m0010:= a0010-r0010 +--E 54 + +--S 55 of 395 +--d0010:= D(m0010,x) +--E 55 + +--S 56 of 395 +t0011:= exp(1)^(-b^2*x^2)*erf(b*x)/x^2 +--R +--R +--R 2 2 +--R - b x +--R erf(b x)%e +--R (23) ---------------- +--R 2 +--R x +--R Type: Expression Integer +--E 56 + +--S 57 of 395 +r0011:= -erf(b*x)/(exp(1)^(b^2*x^2))/x-1/2*b*%pi^(1/2)*erf(b*x)^2+_ + b*Ei(-2*b^2*x^2)/%pi^(1/2) +--R +--R +--R 2 2 +--R +---+ 2 2 2 b x +--R - 2erf(b x)\|%pi + (- b %pi x erf(b x) + 2b x Ei(- 2b x ))%e +--R (24) ------------------------------------------------------------------ +--R 2 2 +--R b x +---+ +--R 2x %e \|%pi +--R Type: Expression Integer +--E 57 + +--S 58 of 395 +a0011:= integrate(t0011,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 58 + +--S 59 of 395 +--m0011:= a0011-r0011 +--E 59 + +--S 60 of 395 +--d0011:= D(m0011,x) +--E 60 + +--S 61 of 395 +t0012:= x^2*exp(1)^(-b^2*x^2)*erf(b*x) +--R +--R +--R 2 2 +--R 2 - b x +--R (25) x erf(b x)%e +--R Type: Expression Integer +--E 61 + +--S 62 of 395 +r0012:= 1/8*exp(-2*b^2*x^2)*(-2-4*x*erf(b*x)*exp(b^2*x^2)*b*%pi^(1/2)+_ + %pi*erf(b*x)^2*exp(2*b^2*x^2))/b^3/%pi^(1/2) +--R +--R +--R (26) +--R 2 2 2 2 2 2 2 2 +--R - 2b x b x +---+ 2 - 2b x 2b x +--R - 4b x erf(b x)%e %e \|%pi + %pi erf(b x) %e %e +--R + +--R 2 2 +--R - 2b x +--R - 2%e +--R / +--R 3 +---+ +--R 8b \|%pi +--R Type: Expression Integer +--E 62 + +--S 63 of 395 +a0012:= integrate(t0012,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 63 + +--S 64 of 395 +--m0012:= a0012-r0012 +--E 64 + +--S 65 of 395 +--d0012:= D(m0012,x) +--E 65 + +--S 66 of 395 +t0013:= x^4*exp(1)^(-b^2*x^2)*erf(b*x) +--R +--R +--R 2 2 +--R 4 - b x +--R (27) x erf(b x)%e +--R Type: Expression Integer +--E 66 + +--S 67 of 395 +r0013:= 1/16*exp(-2*b^2*x^2)*(-8-4*b^2*x^2-_ + 12*x*erf(b*x)*exp(b^2*x^2)*b*%pi^(1/2)-_ + 8*x^3*erf(b*x)*exp(b^2*x^2)*b^3*%pi^(1/2)+_ + 3*%pi*erf(b*x)^2*exp(2*b^2*x^2))/b^5/%pi^(1/2) +--R +--R +--R (28) +--R 2 2 2 2 +--R 3 3 - 2b x b x +---+ +--R (- 8b x - 12b x)erf(b x)%e %e \|%pi +--R + +--R 2 2 2 2 2 2 +--R 2 - 2b x 2b x 2 2 - 2b x +--R 3%pi erf(b x) %e %e + (- 4b x - 8)%e +--R / +--R 5 +---+ +--R 16b \|%pi +--R Type: Expression Integer +--E 67 + +--S 68 of 395 +a0013:= integrate(t0013,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 68 + +--S 69 of 395 +--m0013:= a0013-r0013 +--E 69 + +--S 70 of 395 +--d0013:= D(m0013,x) +--E 70 + +--S 71 of 395 +t0014:= x^6*exp(1)^(-b^2*x^2)*erf(b*x) +--R +--R +--R 2 2 +--R 6 - b x +--R (29) x erf(b x)%e +--R Type: Expression Integer +--E 71 + +--S 72 of 395 +r0014:= 1/32*exp(-2*b^2*x^2)*(-44-28*b^2*x^2-8*b^4*x^4-_ + 60*x*erf(b*x)*exp(b^2*x^2)*b*%pi^(1/2)-_ + 40*x^3*erf(b*x)*exp(b^2*x^2)*b^3*%pi^(1/2)-_ + 16*x^5*erf(b*x)*exp(b^2*x^2)*b^5*%pi^(1/2)+_ + 15*%pi*erf(b*x)^2*exp(2*b^2*x^2))/b^7/%pi^(1/2) +--R +--R +--R (30) +--R 2 2 2 2 +--R 5 5 3 3 - 2b x b x +---+ +--R (- 16b x - 40b x - 60b x)erf(b x)%e %e \|%pi +--R + +--R 2 2 2 2 2 2 +--R 2 - 2b x 2b x 4 4 2 2 - 2b x +--R 15%pi erf(b x) %e %e + (- 8b x - 28b x - 44)%e +--R / +--R 7 +---+ +--R 32b \|%pi +--R Type: Expression Integer +--E 72 + +--S 73 of 395 +a0014:= integrate(t0014,x) +--R +--R +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 73 + +--S 74 of 395 +--m0014:= a0014-r0014 +--E 74 + +--S 75 of 395 +--d0014:= D(m0014,x) +--E 75 + +--S 76 of 395 +t0015:= erfc(b*x)^2/x^7 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 76 + +--S 77 of 395 +r0015:= -1/15*b^2/(exp(1)^(2*b^2*x^2))/%pi/x^4+_ + 2/9*b^4/(exp(1)^(2*b^2*x^2))/%pi/x^2+_ + 2/15*b*erfc(b*x)/(exp(1)^(b^2*x^2))/%pi^(1/2)/x^5-_ + 4/45*b^3*erfc(b*x)/(exp(1)^(b^2*x^2))/%pi^(1/2)/x^3+_ + 8/45*b^5*erfc(b*x)/(exp(1)^(b^2*x^2))/%pi^(1/2)/x-4/_ + 45*b^6*erfc(b*x)^2-1/6*erfc(b*x)^2/x^6+28/45*b^6*Ei(-2*b^2*x^2)/%pi +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 77 + +--S 78 of 395 +--a0015:= integrate(t0015,x) +--E 78 + +--S 79 of 395 +--m0015:= a0015-r0015 +--E 79 + +--S 80 of 395 +--d0015:= D(m0015,x) +--E 80 + +--S 81 of 395 +t0016:= erfc(b*x)^2/x^5 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 81 + +--S 82 of 395 +r0016:= -1/3*b^2/(exp(1)^(2*b^2*x^2))/%pi/x^2+1/3*b*erfc(b*x)/_ + (exp(1)^(b^2*x^2))/%pi^(1/2)/x^3-2/3*b^3*erfc(b*x)/_ + (exp(1)^(b^2*x^2))/%pi^(1/2)/x+1/3*b^4*erfc(b*x)^2-_ + 1/4*erfc(b*x)^2/x^4-4/3*b^4*Ei(-2*b^2*x^2)/%pi +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 82 + +--S 83 of 395 +--a0016:= integrate(t0016,x) +--E 83 + +--S 84 of 395 +--m0016:= a0016-r0016 +--E 84 + +--S 85 of 395 +--d0016:= D(m0016,x) +--E 85 + +--S 86 of 395 +t0017:= erfc(b*x)^2/x^3 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 86 + +--S 87 of 395 +r0017:= 2*b*erfc(b*x)/(exp(1)^(b^2*x^2))/%pi^(1/2)/x-b^2*erfc(b*x)^2-_ + 1/2*erfc(b*x)^2/x^2+2*b^2*Ei(-2*b^2*x^2)/%pi +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 87 + +--S 88 of 395 +--a0017:= integrate(t0017,x) +--E 88 + +--S 89 of 395 +--m0017:= a0017-r0017 +--E 89 + +--S 90 of 395 +--d0017:= D(m0017,x) +--E 90 + +--S 91 of 395 +t0018:= erfc(b*x)^2 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 91 + +--S 92 of 395 +r0018:= -2^(1/2)/%pi^(1/2)*erf(2^(1/2)*b*x)/b-2*erfc(b*x)/_ + (exp(1)^(b^2*x^2))/b/%pi^(1/2)+x*erfc(b*x)^2 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 92 + +--S 93 of 395 +--a0018:= integrate(t0018,x) +--E 93 + +--S 94 of 395 +--m0018:= a0018-r0018 +--E 94 + +--S 95 of 395 +--d0018:= D(m0018,x) +--E 95 + +--S 96 of 395 +t0019:= x*erfc(b*x)^2 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 96 + +--S 97 of 395 +r0019:= 1/2/(exp(1)^(2*b^2*x^2))/b^2/%pi-x*erfc(b*x)/_ + (exp(1)^(b^2*x^2))/b/%pi^(1/2)-1/4*erfc(b*x)^2/b^2+1/2*x^2*erfc(b*x)^2 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 97 + +--S 98 of 395 +--a0019:= integrate(t0019,x) +--E 98 + +--S 99 of 395 +--m0019:= a0019-r0019 +--E 99 + +--S 100 of 395 +--d0019:= D(m0019,x) +--E 100 + +--S 101 of 395 +t0020:= x^3*erfc(b*x)^2 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 101 + +--S 102 of 395 +r0020:= 1/2/(exp(1)^(2*b^2*x^2))/b^4/%pi+1/4*x^2/_ + (exp(1)^(2*b^2*x^2))/b^2/%pi-3/4*x*erfc(b*x)/_ + (exp(1)^(b^2*x^2))/b^3/%pi^(1/2)-1/2*x^3*erfc(b*x)/_ + (exp(1)^(b^2*x^2))/b/%pi^(1/2)-3/16*erfc(b*x)^2/b^4+1/4*x^4*erfc(b*x)^2 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 102 + +--S 103 of 395 +--a0020:= integrate(t0020,x) +--E 103 + +--S 104 of 395 +--m0020:= a0020-r0020 +--E 104 + +--S 105 of 395 +--d0020:= D(m0020,x) +--E 105 + +--S 106 of 395 +t0021:= x^5*erfc(b*x)^2 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 106 + +--S 107 of 395 +r0021:= 11/12/(exp(1)^(2*b^2*x^2))/b^6/%pi+7/12*x^2/_ + (exp(1)^(2*b^2*x^2))/b^4/%pi+1/6*x^4/(exp(1)^(2*b^2*x^2))/b^2/%pi-_ + 5/4*x*erfc(b*x)/(exp(1)^(b^2*x^2))/b^5/%pi^(1/2)-_ + 5/6*x^3*erfc(b*x)/(exp(1)^(b^2*x^2))/b^3/%pi^(1/2)-_ + 1/3*x^5*erfc(b*x)/(exp(1)^(b^2*x^2))/b/%pi^(1/2)-_ + 5/16*erfc(b*x)^2/b^6+1/6*x^6*erfc(b*x)^2 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 107 + +--S 108 of 395 +--a0021:= integrate(t0021,x) +--E 108 + +--S 109 of 395 +--m0021:= a0021-r0021 +--E 109 + +--S 110 of 395 +--d0021:= D(m0021,x) +--E 110 + +--S 111 of 395 +t0022:= erfc(a+b*x)^2 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 111 + +--S 112 of 395 +r0022:= -2^(1/2)/%pi^(1/2)*erf(2^(1/2)*(a+b*x))/b-_ + 2*erfc(a+b*x)/exp((a+b*x)^2)/b/%pi^(1/2)+(a+b*x)*erfc(a+b*x)^2/b +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 112 + +--S 113 of 395 +--a0022:= integrate(t0022,x) +--E 113 + +--S 114 of 395 +--m0022:= a0022-r0022 +--E 114 + +--S 115 of 395 +--d0022:= D(m0022,x) +--E 115 + +--S 116 of 395 +t0023:= x*erfc(a+b*x)^2 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 116 + +--S 117 of 395 +r0023:= 1/4/b^2*(2/(exp(1)^(2*(a+b*x)^2))/%pi+4*a*2^(1/2)/%pi^(1/2)*_ + erf(2^(1/2)*(a+b*x))+erfc(a+b*x)*(4*a/exp((a+b*x)^2)/%pi^(1/2)-_ + erfc(a+b*x)-4*b*x/exp((a+b*x)^2)/%pi^(1/2)-_ + 4*a*(a+b*x)*erfc(a+b*x)+2*(a+b*x)^2*erfc(a+b*x))) +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 117 + +--S 118 of 395 +--a0023:= integrate(t0023,x) +--E 118 + +--S 119 of 395 +--m0023:= a0023-r0023 +--E 119 + +--S 120 of 395 +--d0023:= D(m0023,x) +--E 120 + +--S 121 of 395 +t0024:= x^2*erfc(a+b*x)^2 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 121 + +--S 122 of 395 +r0024:= -1/6/b^3*(4*a/(exp(1)^(2*(a+b*x)^2))/%pi+_ + 1/2*(5+12*a^2)*erf(2^(1/2)*(a+b*x))*2^(1/2)/%pi^(1/2)+_ + 4*erfc(a+b*x)/exp((a+b*x)^2)/%pi^(1/2)+_ + 4*(a+b*x)^2*erfc(a+b*x)/exp((a+b*x)^2)/%pi^(1/2)-_ + 3*a*erfc(a+b*x)^2-6*a^2*(a+b*x)*erfc(a+b*x)^2+_ + 6*a*(a+b*x)^2*erfc(a+b*x)^2-2*(a+b*x)^3*erfc(a+b*x)^2-_ + 2*b*x*(exp(1)^(-2*(a+b*x)^2)+_ + 6*a*%pi^(1/2)*erfc(a+b*x)/exp((a+b*x)^2))/%pi) +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 122 + +--S 123 of 395 +--a0024:= integrate(t0024,x) +--E 123 + +--S 124 of 395 +--m0024:= a0024-r0024 +--E 124 + +--S 125 of 395 +--d0024:= D(m0024,x) +--E 125 + +--S 126 of 395 +t0025:= exp(1)^(-b^2*x^2)*erfc(b*x)/x^8 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 126 + +--S 127 of 395 +r0025:= 1/21*b/(exp(1)^(2*b^2*x^2))/%pi^(1/2)/x^6-_ + 8/105*b^3/(exp(1)^(2*b^2*x^2))/%pi^(1/2)/x^4+_ + 4/21*b^5/(exp(1)^(2*b^2*x^2))/%pi^(1/2)/x^2-_ + 1/7*erfc(b*x)/(exp(1)^(b^2*x^2))/x^7+_ + 2/35*b^2*erfc(b*x)/(exp(1)^(b^2*x^2))/x^5-_ + 4/105*b^4*erfc(b*x)/(exp(1)^(b^2*x^2))/x^3+_ + 8/105*b^6*erfc(b*x)/(exp(1)^(b^2*x^2))/x-_ + 4/105*b^7*%pi^(1/2)*erfc(b*x)^2+16/35*b^7*Ei(-2*b^2*x^2)/%pi^(1/2) +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 127 + +--S 128 of 395 +--a0025:= integrate(t0025,x) +--E 128 + +--S 129 of 395 +--m0025:= a0025-r0025 +--E 129 + +--S 130 of 395 +--d0025:= D(m0025,x) +--E 130 + +--S 131 of 395 +t0026:= exp(1)^(-b^2*x^2)*erfc(b*x)/x^6 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 131 + +--S 132 of 395 +r0026:= 1/10*b/(exp(1)^(2*b^2*x^2))/%pi^(1/2)/x^4-_ + 1/3*b^3/(exp(1)^(2*b^2*x^2))/%pi^(1/2)/x^2-_ + 1/5*erfc(b*x)/(exp(1)^(b^2*x^2))/x^5+_ + 2/15*b^2*erfc(b*x)/(exp(1)^(b^2*x^2))/x^3-_ + 4/15*b^4*erfc(b*x)/(exp(1)^(b^2*x^2))/x+_ + 2/15*b^5*%pi^(1/2)*erfc(b*x)^2-14/15*b^5*Ei(-2*b^2*x^2)/%pi^(1/2) +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 132 + +--S 133 of 395 +--a0026:= integrate(t0026,x) +--E 133 + +--S 134 of 395 +--m0026:= a0026-r0026 +--E 134 + +--S 135 of 395 +--d0026:= D(m0026,x) +--E 135 + +--S 136 of 395 +t0027:= exp(1)^(-b^2*x^2)*erfc(b*x)/x^4 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 136 + +--S 137 of 395 +r0027:= 1/3*b/(exp(1)^(2*b^2*x^2))/%pi^(1/2)/x^2-_ + 1/3*erfc(b*x)/(exp(1)^(b^2*x^2))/x^3+_ + 2/3*b^2*erfc(b*x)/(exp(1)^(b^2*x^2))/x-_ + 1/3*b^3*%pi^(1/2)*erfc(b*x)^2+4/3*b^3*Ei(-2*b^2*x^2)/%pi^(1/2) +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 137 + +--S 138 of 395 +--a0027:= integrate(t0027,x) +--E 138 + +--S 139 of 395 +--m0027:= a0027-r0027 +--E 139 + +--S 140 of 395 +--d0027:= D(m0027,x) +--E 140 + +--S 141 of 395 +t0028:= exp(1)^(-b^2*x^2)*erfc(b*x)/x^2 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 141 + +--S 142 of 395 +r0028:= -erfc(b*x)/(exp(1)^(b^2*x^2))/x+_ + 1/2*b*%pi^(1/2)*erfc(b*x)^2-b*Ei(-2*b^2*x^2)/%pi^(1/2) +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 142 + +--S 143 of 395 +--a0028:= integrate(t0028,x) +--E 143 + +--S 144 of 395 +--m0028:= a0028-r0028 +--E 144 + +--S 145 of 395 +--d0028:= D(m0028,x) +--E 145 + +--S 146 of 395 +t0029:= x^2*exp(1)^(-b^2*x^2)*erfc(b*x) +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 146 + +--S 147 of 395 +r0029:= 1/4/(exp(1)^(2*b^2*x^2))/b^3/%pi^(1/2)-_ + 1/2*x*erfc(b*x)/(exp(1)^(b^2*x^2))/b^2-1/8*%pi^(1/2)*erfc(b*x)^2/b^3 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 147 + +--S 148 of 395 +--a0029:= integrate(t0029,x) +--E 148 + +--S 149 of 395 +--m0029:= a0029-r0029 +--E 149 + +--S 150 of 395 +--d0029:= D(m0029,x) +--E 150 + +--S 151 of 395 +t0030:= x^4*exp(1)^(-b^2*x^2)*erfc(b*x) +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 151 + +--S 152 of 395 +r0030:= 1/2/(exp(1)^(2*b^2*x^2))/b^5/%pi^(1/2)+_ + 1/4*x^2/(exp(1)^(2*b^2*x^2))/b^3/%pi^(1/2)-_ + 3/4*x*erfc(b*x)/(exp(1)^(b^2*x^2))/b^4-_ + 1/2*x^3*erfc(b*x)/(exp(1)^(b^2*x^2))/b^2-_ + 3/16*%pi^(1/2)*erfc(b*x)^2/b^5 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 152 + +--S 153 of 395 +--a0030:= integrate(t0030,x) +--E 153 + +--S 154 of 395 +--m0030:= a0030-r0030 +--E 154 + +--S 155 of 395 +--d0030:= D(m0030,x) +--E 155 + +--S 156 of 395 +t0031:= x^6*exp(1)^(-b^2*x^2)*erfc(b*x) +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 156 + +--S 157 of 395 +r0031:= 11/8/(exp(1)^(2*b^2*x^2))/b^7/%pi^(1/2)+_ + 7/8*x^2/(exp(1)^(2*b^2*x^2))/b^5/%pi^(1/2)+_ + 1/4*x^4/(exp(1)^(2*b^2*x^2))/b^3/%pi^(1/2)-_ + 15/8*x*erfc(b*x)/(exp(1)^(b^2*x^2))/b^6-_ + 5/4*x^3*erfc(b*x)/(exp(1)^(b^2*x^2))/b^4-_ + 1/2*x^5*erfc(b*x)/(exp(1)^(b^2*x^2))/b^2-_ + 15/32*%pi^(1/2)*erfc(b*x)^2/b^7 +--R +--R There are no library operations named erfc +--R Use HyperDoc Browse or issue +--R )what op erfc +--R to learn if there is any operation containing " erfc " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfc +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 157 + +--S 158 of 395 +--a0031:= integrate(t0031,x) +--E 158 + +--S 159 of 395 +--m0031:= a0031-r0031 +--E 159 + +--S 160 of 395 +--d0031:= D(m0031,x) +--E 160 + +--S 161 of 395 +t0032:= erfi(b*x)^2/x^7 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 161 + +--S 162 of 395 +r0032:= -1/15*b^2*exp(1)^(2*b^2*x^2)/%pi/x^4-_ + 2/9*b^4*exp(1)^(2*b^2*x^2)/%pi/x^2-_ + 2/45*b*exp(1)^(b^2*x^2)*(3+2*b^2*x^2+4*b^4*x^4)*_ + erfi(b*x)/%pi^(1/2)/x^5+4/45*b^6*erfi(b*x)^2-_ + 1/6*erfi(b*x)^2/x^6+28/45*b^6*Ei(2*b^2*x^2)/%pi +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 162 + +--S 163 of 395 +--a0032:= integrate(t0032,x) +--E 163 + +--S 164 of 395 +--m0032:= a0032-r0032 +--E 164 + +--S 165 of 395 +--d0032:= D(m0032,x) +--E 165 + +--S 166 of 395 +t0033:= erfi(b*x)^2/x^5 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 166 + +--S 167 of 395 +r0033:= -1/3*b^2*exp(1)^(2*b^2*x^2)/%pi/x^2-_ + 1/3*b*exp(1)^(b^2*x^2)*(1+2*b^2*x^2)*erfi(b*x)/%pi^(1/2)/x^3+_ + 1/3*b^4*erfi(b*x)^2-1/4*erfi(b*x)^2/x^4+4/3*b^4*Ei(2*b^2*x^2)/%pi +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 167 + +--S 168 of 395 +--a0033:= integrate(t0033,x) +--E 168 + +--S 169 of 395 +--m0033:= a0033-r0033 +--E 169 + +--S 170 of 395 +--d0033:= D(m0033,x) +--E 170 + +--S 171 of 395 +t0034:= erfi(b*x)^2/x^3 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 171 + +--S 172 of 395 +r0034:= -2*b*exp(1)^(b^2*x^2)*erfi(b*x)/%pi^(1/2)/x+_ + b^2*erfi(b*x)^2-1/2*erfi(b*x)^2/x^2+2*b^2*Ei(2*b^2*x^2)/%pi +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 172 + +--S 173 of 395 +--a0034:= integrate(t0034,x) +--E 173 + +--S 174 of 395 +--m0034:= a0034-r0034 +--E 174 + +--S 175 of 395 +--d0034:= D(m0034,x) +--E 175 + +--S 176 of 395 +t0035:= erfi(b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 176 + +--S 177 of 395 +r0035:= (-2*exp(b^2*x^2)*erfi(b*x)+x*erfi(b*x)^2*b*%pi^(1/2)+_ + 2^(1/2)*erfi(2^(1/2)*b*x))/b/%pi^(1/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 177 + +--S 178 of 395 +--a0035:= integrate(t0035,x) +--E 178 + +--S 179 of 395 +--m0035:= a0035-r0035 +--E 179 + +--S 180 of 395 +--d0035:= D(m0035,x) +--E 180 + +--S 181 of 395 +t0036:= x*erfi(b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 181 + +--S 182 of 395 +r0036:= 1/2*exp(1)^(2*b^2*x^2)/b^2/%pi-_ + exp(1)^(b^2*x^2)*x*erfi(b*x)/b/%pi^(1/2)+_ + 1/4*erfi(b*x)^2/b^2+1/2*x^2*erfi(b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 182 + +--S 183 of 395 +--a0036:= integrate(t0036,x) +--E 183 + +--S 184 of 395 +--m0036:= a0036-r0036 +--E 184 + +--S 185 of 395 +--d0036:= D(m0036,x) +--E 185 + +--S 186 of 395 +t0037:= x^2*erfi(b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 186 + +--S 187 of 395 +r0037:= 1/3*exp(1)^(2*b^2*x^2)*x/b^2/%pi+_ + 2/3*exp(1)^(b^2*x^2)*(1-b^2*x^2)*erfi(b*x)/b^3/%pi^(1/2)+_ + 1/3*x^3*erfi(b*x)^2-5/12*erfi(2^(1/2)*b*x)/b^3*2^(1/2)/%pi^(1/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 187 + +--S 188 of 395 +--a0037:= integrate(t0037,x) +--E 188 + +--S 189 of 395 +--m0037:= a0037-r0037 +--E 189 + +--S 190 of 395 +--d0037:= D(m0037,x) +--E 190 + +--S 191 of 395 +t0038:= x^3*erfi(b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 191 + +--S 192 of 395 +r0038:= -1/2*exp(1)^(2*b^2*x^2)/b^4/%pi+1/4*exp(1)^(2*b^2*x^2)*x^2/b^2/%pi+_ + 1/4*exp(1)^(b^2*x^2)*x*(3-2*b^2*x^2)*erfi(b*x)/b^3/%pi^(1/2)-_ + 3/16*erfi(b*x)^2/b^4+1/4*x^4*erfi(b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 192 + +--S 193 of 395 +--a0038:= integrate(t0038,x) +--E 193 + +--S 194 of 395 +--m0038:= a0038-r0038 +--E 194 + +--S 195 of 395 +--d0038:= D(m0038,x) +--E 195 + +--S 196 of 395 +t0039:= x^4*erfi(b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 196 + +--S 197 of 395 +r0039:= -11/20*exp(1)^(2*b^2*x^2)*x/b^4/%pi+_ + 1/5*exp(1)^(2*b^2*x^2)*x^3/b^2/%pi-_ + 2/5*exp(1)^(b^2*x^2)*(2-2*b^2*x^2+b^4*x^4)*erfi(b*x)/b^5/%pi^(1/2)+_ + 1/5*x^5*erfi(b*x)^2+43/80*erfi(2^(1/2)*b*x)/b^5*2^(1/2)/%pi^(1/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 197 + +--S 198 of 395 +--a0039:= integrate(t0039,x) +--E 198 + +--S 199 of 395 +--m0039:= a0039-r0039 +--E 199 + +--S 200 of 395 +--d0039:= D(m0039,x) +--E 200 + +--S 201 of 395 +t0040:= x^5*erfi(b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 201 + +--S 202 of 395 +r0040:= 11/12*exp(1)^(2*b^2*x^2)/b^6/%pi-_ + 7/12*exp(1)^(2*b^2*x^2)*x^2/b^4/%pi+_ + 1/6*exp(1)^(2*b^2*x^2)*x^4/b^2/%pi-_ + 1/12*exp(1)^(b^2*x^2)*x*(15-10*b^2*x^2+_ + 4*b^4*x^4)*erfi(b*x)/b^5/%pi^(1/2)+5/16*erfi(b*x)^2/b^6+_ + 1/6*x^6*erfi(b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 202 + +--S 203 of 395 +--a0040:= integrate(t0040,x) +--E 203 + +--S 204 of 395 +--m0040:= a0040-r0040 +--E 204 + +--S 205 of 395 +--d0040:= D(m0040,x) +--E 205 + +--S 206 of 395 +t0041:= x^6*erfi(b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 206 + +--S 207 of 395 +r0041:= 21/16*exp(1)^(2*b^2*x^2)*x/b^6/%pi-_ + 17/28*exp(1)^(2*b^2*x^2)*x^3/b^4/%pi+_ + 1/7*exp(1)^(2*b^2*x^2)*x^5/b^2/%pi+_ + 2/7*exp(1)^(b^2*x^2)*(6-6*b^2*x^2+3*b^4*x^4-_ + b^6*x^6)*erfi(b*x)/b^7/%pi^(1/2)+1/7*x^7*erfi(b*x)^2-_ + 531/448*erfi(2^(1/2)*b*x)/b^7*2^(1/2)/%pi^(1/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 207 + +--S 208 of 395 +--a0041:= integrate(t0041,x) +--E 208 + +--S 209 of 395 +--m0041:= a0041-r0041 +--E 209 + +--S 210 of 395 +--d0041:= D(m0041,x) +--E 210 + +--S 211 of 395 +t0042:= erfi(a+b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 211 + +--S 212 of 395 +r0042:= -2*exp((a+b*x)^2)*erfi(a+b*x)/b/%pi^(1/2)+(a+b*x)*_ + erfi(a+b*x)^2/b+2^(1/2)/%pi^(1/2)*erfi(2^(1/2)*(a+b*x))/b +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 212 + +--S 213 of 395 +--a0042:= integrate(t0042,x) +--E 213 + +--S 214 of 395 +--m0042:= a0042-r0042 +--E 214 + +--S 215 of 395 +--d0042:= D(m0042,x) +--E 215 + +--S 216 of 395 +t0043:= x*erfi(a+b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 216 + +--S 217 of 395 +r0043:= 1/4/b^2*(2*exp(1)^(2*(a+b*x)^2)/%pi+_ + 4*exp((a+b*x)^2)*(a-b*x)*erfi(a+b*x)/%pi^(1/2)+_ + erfi(a+b*x)^2-4*a*(a+b*x)*erfi(a+b*x)^2+_ + 2*(a+b*x)^2*erfi(a+b*x)^2-4*a*2^(1/2)/%pi^(1/2)*erfi(2^(1/2)*(a+b*x))) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 217 + +--S 218 of 395 +--a0043:= integrate(t0043,x) +--E 218 + +--S 219 of 395 +--m0043:= a0043-r0043 +--E 219 + +--S 220 of 395 +--d0043:= D(m0043,x) +--E 220 + +--S 221 of 395 +t0044:= x^2*erfi(a+b*x)^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 221 + +--S 222 of 395 +r0044:= -1/6/b^3*(4*a*exp(1)^(2*(a+b*x)^2)/%pi-_ + 2*b*exp(1)^(2*(a+b*x)^2)*x/%pi-_ + 4*exp((a+b*x)^2)*(1-a^2+a*b*x-b^2*x^2)*erfi(a+b*x)/%pi^(1/2)+_ + 3*a*erfi(a+b*x)^2-6*a^2*(a+b*x)*erfi(a+b*x)^2+_ + 6*a*(a+b*x)^2*erfi(a+b*x)^2-2*(a+b*x)^3*erfi(a+b*x)^2+_ + 1/2*(5-12*a^2)*erfi(2^(1/2)*(a+b*x))*2^(1/2)/%pi^(1/2)) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 222 + +--S 223 of 395 +--a0044:= integrate(t0044,x) +--E 223 + +--S 224 of 395 +--m0044:= a0044-r0044 +--E 224 + +--S 225 of 395 +--d0044:= D(m0044,x) +--E 225 + +--S 226 of 395 +t0045:= exp(1)^(b^2*x^2)*erfi(b*x)/x^8 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 226 + +--S 227 of 395 +r0045:= -1/21*b*exp(1)^(2*b^2*x^2)/%pi^(1/2)/x^6-_ + 8/105*b^3*exp(1)^(2*b^2*x^2)/%pi^(1/2)/x^4-_ + 4/21*b^5*exp(1)^(2*b^2*x^2)/%pi^(1/2)/x^2-_ + 1/105*exp(1)^(b^2*x^2)*(15+6*b^2*x^2+4*b^4*x^4+_ + 8*b^6*x^6)*erfi(b*x)/x^7+4/105*b^7*%pi^(1/2)*erfi(b*x)^2+_ + 16/35*b^7*Ei(2*b^2*x^2)/%pi^(1/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 227 + +--S 228 of 395 +--a0045:= integrate(t0045,x) +--E 228 + +--S 229 of 395 +--m0045:= a0045-r0045 +--E 229 + +--S 230 of 395 +--d0045:= D(m0045,x) +--E 230 + +--S 231 of 395 +t0046:= exp(1)^(b^2*x^2)*erfi(b*x)/x^6 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 231 + +--S 232 of 395 +r0046:= -1/10*b*exp(1)^(2*b^2*x^2)/%pi^(1/2)/x^4-_ + 1/3*b^3*exp(1)^(2*b^2*x^2)/%pi^(1/2)/x^2-_ + 1/15*exp(1)^(b^2*x^2)*(3+2*b^2*x^2+4*b^4*x^4)*erfi(b*x)/x^5+_ + 2/15*b^5*%pi^(1/2)*erfi(b*x)^2+14/15*b^5*Ei(2*b^2*x^2)/%pi^(1/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 232 + +--S 233 of 395 +--a0046:= integrate(t0046,x) +--E 233 + +--S 234 of 395 +--m0046:= a0046-r0046 +--E 234 + +--S 235 of 395 +--d0046:= D(m0046,x) +--E 235 + +--S 236 of 395 +t0047:= exp(1)^(b^2*x^2)*erfi(b*x)/x^4 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 236 + +--S 237 of 395 +r0047:= -1/3*b*exp(1)^(2*b^2*x^2)/%pi^(1/2)/x^2-_ + 1/3*exp(1)^(b^2*x^2)*(1+2*b^2*x^2)*erfi(b*x)/x^3+_ + 1/3*b^3*%pi^(1/2)*erfi(b*x)^2+4/3*b^3*Ei(2*b^2*x^2)/%pi^(1/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 237 + +--S 238 of 395 +--a0047:= integrate(t0047,x) +--E 238 + +--S 239 of 395 +--m0047:= a0047-r0047 +--E 239 + +--S 240 of 395 +--d0047:= D(m0047,x) +--E 240 + +--S 241 of 395 +t0048:= exp(1)^(b^2*x^2)*erfi(b*x)/x^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 241 + +--S 242 of 395 +r0048:= -exp(1)^(b^2*x^2)*erfi(b*x)/x+_ + 1/2*b*%pi^(1/2)*erfi(b*x)^2+b*Ei(2*b^2*x^2)/%pi^(1/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 242 + +--S 243 of 395 +--a0048:= integrate(t0048,x) +--E 243 + +--S 244 of 395 +--m0048:= a0048-r0048 +--E 244 + +--S 245 of 395 +--d0048:= D(m0048,x) +--E 245 + +--S 246 of 395 +t0049:= x*exp(1)^(b^2*x^2)*erfi(b*x) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 246 + +--S 247 of 395 +r0049:= -1/4*(-2*exp(b^2*x^2)*erfi(b*x)+erfi(2^(1/2)*b*x)*2^(1/2))/b^2 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 247 + +--S 248 of 395 +--a0049:= integrate(t0049,x) +--E 248 + +--S 249 of 395 +--m0049:= a0049-r0049 +--E 249 + +--S 250 of 395 +--d0049:= D(m0049,x) +--E 250 + +--S 251 of 395 +t0050:= x^2*exp(1)^(b^2*x^2)*erfi(b*x) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 251 + +--S 252 of 395 +r0050:= -1/8*(2*exp(2*b^2*x^2)-4*exp(b^2*x^2)*x*erfi(b*x)*b*%pi^(1/2)+_ + %pi*erfi(b*x)^2)/b^3/%pi^(1/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 252 + +--S 253 of 395 +--a0050:= integrate(t0050,x) +--E 253 + +--S 254 of 395 +--m0050:= a0050-r0050 +--E 254 + +--S 255 of 395 +--d0050:= D(m0050,x) +--E 255 + +--S 256 of 395 +t0051:= x^3*exp(1)^(b^2*x^2)*erfi(b*x) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 256 + +--S 257 of 395 +r0051:= -1/4*exp(1)^(2*b^2*x^2)*x/b^3/%pi^(1/2)-_ + 1/2*exp(1)^(b^2*x^2)*(1-b^2*x^2)*erfi(b*x)/b^4+_ + 5/16*erfi(2^(1/2)*b*x)*2^(1/2)/b^4 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 257 + +--S 258 of 395 +--a0051:= integrate(t0051,x) +--E 258 + +--S 259 of 395 +--m0051:= a0051-r0051 +--E 259 + +--S 260 of 395 +--d0051:= D(m0051,x) +--E 260 + +--S 261 of 395 +t0052:= x^4*exp(1)^(b^2*x^2)*erfi(b*x) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 261 + +--S 262 of 395 +r0052:= -1/16*(-8*exp(2*b^2*x^2)+4*exp(2*b^2*x^2)*x^2*b^2+_ + 12*exp(b^2*x^2)*x*erfi(b*x)*b*%pi^(1/2)-_ + 8*exp(b^2*x^2)*x^3*erfi(b*x)*b^3*%pi^(1/2)-_ + 3*%pi*erfi(b*x)^2)/b^5/%pi^(1/2) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 262 + +--S 263 of 395 +--a0052:= integrate(t0052,x) +--E 263 + +--S 264 of 395 +--m0052:= a0052-r0052 +--E 264 + +--S 265 of 395 +--d0052:= D(m0052,x) +--E 265 + +--S 266 of 395 +t0053:= x^5*exp(1)^(b^2*x^2)*erfi(b*x) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 266 + +--S 267 of 395 +r0053:= 11/16*exp(1)^(2*b^2*x^2)*x/b^5/%pi^(1/2)-_ + 1/4*exp(1)^(2*b^2*x^2)*x^3/b^3/%pi^(1/2)+_ + 1/2*exp(1)^(b^2*x^2)*(2-2*b^2*x^2+b^4*x^4)*erfi(b*x)/b^6-_ + 43/64*erfi(2^(1/2)*b*x)*2^(1/2)/b^6 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 267 + +--S 268 of 395 +--a0053:= integrate(t0053,x) +--E 268 + +--S 269 of 395 +--m0053:= a0053-r0053 +--E 269 + +--S 270 of 395 +--d0053:= D(m0053,x) +--E 270 + +--S 271 of 395 +t0054:= x^6*exp(1)^(b^2*x^2)*erfi(b*x) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 271 + +--S 272 of 395 +r0054:= -11/8*exp(1)^(2*b^2*x^2)/b^7/%pi^(1/2)+_ + 7/8*exp(1)^(2*b^2*x^2)*x^2/b^5/%pi^(1/2)-_ + 1/4*exp(1)^(2*b^2*x^2)*x^4/b^3/%pi^(1/2)+_ + 1/8*exp(1)^(b^2*x^2)*x*(15-10*b^2*x^2+4*b^4*x^4)*erfi(b*x)/b^6-_ + 15/32*%pi^(1/2)*erfi(b*x)^2/b^7 +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 272 + +--S 273 of 395 +--a0054:= integrate(t0054,x) +--E 273 + +--S 274 of 395 +--m0054:= a0054-r0054 +--E 274 + +--S 275 of 395 +--d0054:= D(m0054,x) +--E 275 + +--S 276 of 395 +t0055:= FresnelS(b*x)^2/x^9 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 276 + +--S 277 of 395 +r0055:= -1/336*b^2/x^6+1/1680*b^6*%pi^2/x^2+1/336*b^2*cos(b^2*%pi*x^2)/x^6-_ + 1/336*b^6*%pi^2*cos(b^2*%pi*x^2)/x^2+_ + 1/840*b^8*%pi^4*FresnelS(b*x)^2-1/8*FresnelS(b*x)^2/x^8-_ + 1/420*b*FresnelS(b*x)*(b^2*%pi*_ + x^2*(3-b^4*%pi^2*x^4)*cos(1/2*b^2*%pi*x^2)+_ + (15-b^4*%pi^2*x^4)*sin(1/2*b^2*%pi*x^2))/x^7-_ + 1/420*b^4*%pi*sin(b^2*%pi*x^2)/x^4-1/280*b^8*%pi^3*Si(b^2*%pi*x^2) +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 277 + +--S 278 of 395 +--a0055:= integrate(t0055,x) +--E 278 + +--S 279 of 395 +--m0055:= a0055-r0055 +--E 279 + +--S 280 of 395 +--d0055:= D(m0055,x) +--E 280 + +--S 281 of 395 +t0056:= FresnelS(b*x)^2/x^5 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 281 + +--S 282 of 395 +r0056:= -1/24*(b^2*x^2-b^2*cos(b^2*%pi*x^2)*x^2+2*b^4*%pi^2*_ + FresnelS(b*x)^2*x^4+6*FresnelS(b*x)^2+4*b^3*_ + FresnelS(b*x)*x^3*%pi*cos(1/2*b^2*%pi*x^2)+4*_ + FresnelS(b*x)*sin(1/2*b^2*%pi*x^2)*b*x-_ + 2*b^4*%pi*Si(b^2*%pi*x^2)*x^4)/x^4 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 282 + +--S 283 of 395 +--a0056:= integrate(t0056,x) +--E 283 + +--S 284 of 395 +--m0056:= a0056-r0056 +--E 284 + +--S 285 of 395 +--d0056:= D(m0056,x) +--E 285 + +--S 286 of 395 +t0057:= x^3*FresnelS(b*x)^2 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 286 + +--S 287 of 395 +r0057:= 1/8*(3*b^2*%pi*x^2+x^2*cos(b^2*%pi*x^2)*b^2*%pi+_ + 6*FresnelS(b*x)^2*%pi+2*x^4*FresnelS(b*x)^2*b^4*%pi^3+_ + 4*x^3*FresnelS(b*x)*b^3*%pi^2*cos(1/2*b^2*%pi*x^2)-_ + 12*x*FresnelS(b*x)*b*%pi*sin(1/2*b^2*%pi*x^2)-_ + 4*sin(b^2*%pi*x^2))/b^4/%pi^3 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 287 + +--S 288 of 395 +--a0057:= integrate(t0057,x) +--E 288 + +--S 289 of 395 +--m0057:= a0057-r0057 +--E 289 + +--S 290 of 395 +--d0057:= D(m0057,x) +--E 290 + +--S 291 of 395 +t0058:= x^7*FresnelS(b*x)^2 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 291 + +--S 292 of 395 +r0058:= -105/16*x^2/b^6/%pi^4+7/48*x^6/b^2/%pi^2-_ + 55/16*x^2*cos(b^2*%pi*x^2)/b^6/%pi^4+_ + 1/16*x^6*cos(b^2*%pi*x^2)/b^2/%pi^2-_ + 105/8*FresnelS(b*x)^2/b^8/%pi^4+1/8*x^8*FresnelS(b*x)^2-_ + 1/4*x*FresnelS(b*x)*(b^2*%pi*x^2*(35-b^4*%pi^2*x^4)*_ + cos(1/2*b^2*%pi*x^2)-7*(15-b^4*%pi^2*x^4)*_ + sin(1/2*b^2*%pi*x^2))/b^7/%pi^4+10*sin(b^2*%pi*x^2)/b^8/%pi^5-_ + 5/8*x^4*sin(b^2*%pi*x^2)/b^4/%pi^3 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 292 + +--S 293 of 395 +--a0058:= integrate(t0058,x) +--E 293 + +--S 294 of 395 +--m0058:= a0058-r0058 +--E 294 + +--S 295 of 395 +--d0058:= D(m0058,x) +--E 295 + +--S 296 of 395 +t0059:= sin(1/2*b^2*%pi*x^2)*FresnelS(b*x)/x^8 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 296 + +--S 297 of 395 +r0059:= -1/84*b/x^6+1/420*b^5*%pi^2/x^2+1/84*b*cos(b^2*%pi*x^2)/x^6-_ + 1/84*b^5*%pi^2*cos(b^2*%pi*x^2)/x^2+1/210*b^7*%pi^4*FresnelS(b*x)^2-_ + 1/105*FresnelS(b*x)*(b^2*%pi*x^2*(3-b^4*%pi^2*x^4)*_ + cos(1/2*b^2*%pi*x^2)+(15-b^4*%pi^2*x^4)*_ + sin(1/2*b^2*%pi*x^2))/x^7-1/105*b^3*%pi*_ + sin(b^2*%pi*x^2)/x^4-1/70*b^7*%pi^3*Si(b^2*%pi*x^2) +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 297 + +--S 298 of 395 +--a0059:= integrate(t0059,x) +--E 298 + +--S 299 of 395 +--m0059:= a0059-r0059 +--E 299 + +--S 300 of 395 +--d0059:= D(m0059,x) +--E 300 + +--S 301 of 395 +t0060:= sin(1/2*b^2*%pi*x^2)*FresnelS(b*x)/x^4 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 301 + +--S 302 of 395 +r0060:= -1/12*(b*x-x*cos(b^2*%pi*x^2)*b+2*x^3*FresnelS(b*x)^2*b^3*%pi^2+_ + 4*FresnelS(b*x)*b^2*%pi*x^2*cos(1/2*b^2*%pi*x^2)+_ + 4*sin(1/2*b^2*%pi*x^2)*FresnelS(b*x)-_ + 2*b^3*%pi*Si(b^2*%pi*x^2)*x^3)/x^3 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 302 + +--S 303 of 395 +--a0060:= integrate(t0060,x) +--E 303 + +--S 304 of 395 +--m0060:= a0060-r0060 +--E 304 + +--S 305 of 395 +--d0060:= D(m0060,x) +--E 305 + +--S 306 of 395 +t0061:= x^4*sin(1/2*b^2*%pi*x^2)*FresnelS(b*x) +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 306 + +--S 307 of 395 +r0061:= -1/4*(3*b^2*%pi*x^2+x^2*cos(b^2*%pi*x^2)*b^2*%pi+_ + 6*FresnelS(b*x)^2*%pi+4*x^3*FresnelS(b*x)*_ + b^3*%pi^2*cos(1/2*b^2*%pi*x^2)-12*x*FresnelS(b*x)*b*%pi*_ + sin(1/2*b^2*%pi*x^2)-4*sin(b^2*%pi*x^2))/b^5/%pi^3 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 307 + +--S 308 of 395 +--a0061:= integrate(t0061,x) +--E 308 + +--S 309 of 395 +--m0061:= a0061-r0061 +--E 309 + +--S 310 of 395 +--d0061:= D(m0061,x) +--E 310 + +--S 311 of 395 +t0062:= cos(1/2*b^2*%pi*x^2)*FresnelS(b*x)/x^10 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 311 + +--S 312 of 395 +r0062:= 1/756*b^3*%pi/x^6-1/3780*b^7*%pi^3/x^2-_ + 11/3024*b^3*%pi*cos(b^2*%pi*x^2)/x^6+_ + 5/2016*b^7*%pi^3*cos(b^2*%pi*x^2)/x^2-_ + 1/1890*b^9*%pi^5*FresnelS(b*x)^2-_ + 1/945*FresnelS(b*x)*((105-3*b^4*%pi^2*x^4+b^8*%pi^4*x^8)*_ + cos(1/2*b^2*%pi*x^2)-b^2*%pi*x^2*(15-b^4*%pi^2*x^4)*_ + sin(1/2*b^2*%pi*x^2))/x^9-1/144*b*sin(b^2*%pi*x^2)/x^8+_ + 67/30240*b^5*%pi^2*sin(b^2*%pi*x^2)/x^4+_ + 83/30240*b^9*%pi^4*Si(b^2*%pi*x^2) +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 312 + +--S 313 of 395 +--a0062:= integrate(t0062,x) +--E 313 + +--S 314 of 395 +--m0062:= a0062-r0062 +--E 314 + +--S 315 of 395 +--d0062:= D(m0062,x) +--E 315 + +--S 316 of 395 +t0063:= cos(1/2*b^2*%pi*x^2)*FresnelS(b*x)/x^6 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 316 + +--S 317 of 395 +r0063:= 1/60*b^3*%pi/x^2-1/24*b^3*%pi*cos(b^2*%pi*x^2)/x^2+_ + 1/30*b^5*%pi^3*FresnelS(b*x)^2-1/15*FresnelS(b*x)*_ + ((3-b^4*%pi^2*x^4)*cos(1/2*b^2*%pi*x^2)-b^2*%pi*x^2*_ + sin(1/2*b^2*%pi*x^2))/x^5-1/40*b*sin(b^2*%pi*x^2)/x^4-_ + 7/120*b^5*%pi^2*Si(b^2*%pi*x^2) +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 317 + +--S 318 of 395 +--a0063:= integrate(t0063,x) +--E 318 + +--S 319 of 395 +--m0063:= a0063-r0063 +--E 319 + +--S 320 of 395 +--d0063:= D(m0063,x) +--E 320 + +--S 321 of 395 +t0064:= cos(1/2*b^2*%pi*x^2)*FresnelS(b*x)/x^2 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 321 + +--S 322 of 395 +r0064:= -cos(1/2*b^2*%pi*x^2)*FresnelS(b*x)/x-_ + 1/2*b*%pi*FresnelS(b*x)^2+1/4*b*Si(b^2*%pi*x^2) +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 322 + +--S 323 of 395 +--a0064:= integrate(t0064,x) +--E 323 + +--S 324 of 395 +--m0064:= a0064-r0064 +--E 324 + +--S 325 of 395 +--d0064:= D(m0064,x) +--E 325 + +--S 326 of 395 +t0065:= x^2*cos(1/2*b^2*%pi*x^2)*FresnelS(b*x) +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 326 + +--S 327 of 395 +r0065:= 1/4*(-b^2*%pi*x^2-2*FresnelS(b*x)^2*%pi+_ + 4*x*FresnelS(b*x)*b*%pi*sin(1/2*b^2*%pi*x^2)+_ + sin(b^2*%pi*x^2))/b^3/%pi^2 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 327 + +--S 328 of 395 +--a0065:= integrate(t0065,x) +--E 328 + +--S 329 of 395 +--m0065:= a0065-r0065 +--E 329 + +--S 330 of 395 +--d0065:= D(m0065,x) +--E 330 + +--S 331 of 395 +t0066:= x^6*cos(1/2*b^2*%pi*x^2)*FresnelS(b*x) +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 331 + +--S 332 of 395 +r0066:= 1/12*(45*b^2*%pi*x^2-x^6*b^6*%pi^3+_ + 21*x^2*cos(b^2*%pi*x^2)*b^2*%pi+90*FresnelS(b*x)^2*%pi+_ + 60*x^3*FresnelS(b*x)*b^3*%pi^2*cos(1/2*b^2*%pi*x^2)-_ + 180*x*FresnelS(b*x)*b*%pi*sin(1/2*b^2*%pi*x^2)+_ + 12*x^5*FresnelS(b*x)*b^5*%pi^3*sin(1/2*b^2*%pi*x^2)-_ + 66*sin(b^2*%pi*x^2)+3*x^4*sin(b^2*%pi*x^2)*b^4*%pi^2)/b^7/%pi^4 +--R +--R There are no library operations named FresnelS +--R Use HyperDoc Browse or issue +--R )what op FresnelS +--R to learn if there is any operation containing " FresnelS " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelS with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 332 + +--S 333 of 395 +--a0066:= integrate(t0066,x) +--E 333 + +--S 334 of 395 +--m0066:= a0066-r0066 +--E 334 + +--S 335 of 395 +--d0066:= D(m0066,x) +--E 335 + +--S 336 of 395 +t0067:= FresnelC(b*x)^2/x^9 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 336 + +--S 337 of 395 +r0067:= -1/336*b^2/x^6+1/1680*b^6*%pi^2/x^2-_ + 1/336*b^2*cos(b^2*%pi*x^2)/x^6+1/336*b^6*%pi^2*cos(b^2*%pi*x^2)/x^2+_ + 1/840*b^8*%pi^4*FresnelC(b*x)^2-1/8*FresnelC(b*x)^2/x^8-_ + 1/420*b*FresnelC(b*x)*((15-b^4*%pi^2*x^4)*cos(1/2*b^2*%pi*x^2)-_ + b^2*%pi*x^2*(3-b^4*%pi^2*x^4)*sin(1/2*b^2*%pi*x^2))/x^7+_ + 1/420*b^4*%pi*sin(b^2*%pi*x^2)/x^4+1/280*b^8*%pi^3*Si(b^2*%pi*x^2) +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 337 + +--S 338 of 395 +--a0067:= integrate(t0067,x) +--E 338 + +--S 339 of 395 +--m0067:= a0067-r0067 +--E 339 + +--S 340 of 395 +--d0067:= D(m0067,x) +--E 340 + +--S 341 of 395 +t0068:= FresnelC(b*x)^2/x^5 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 341 + +--S 342 of 395 +r0068:= -1/24*(b^2*x^2+b^2*cos(b^2*%pi*x^2)*x^2+2*b^4*%pi^2*_ + FresnelC(b*x)^2*x^4+6*FresnelC(b*x)^2+4*FresnelC(b*x)*_ + cos(1/2*b^2*%pi*x^2)*b*x-4*b^3*FresnelC(b*x)*x^3*%pi*_ + sin(1/2*b^2*%pi*x^2)+2*b^4*%pi*Si(b^2*%pi*x^2)*x^4)/x^4 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 342 + +--S 343 of 395 +--a0068:= integrate(t0068,x) +--E 343 + +--S 344 of 395 +--m0068:= a0068-r0068 +--E 344 + +--S 345 of 395 +--d0068:= D(m0068,x) +--E 345 + +--S 346 of 395 +t0069:= x^3*FresnelC(b*x)^2 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 346 + +--S 347 of 395 +r0069:= -1/8*(-3*b^2*%pi*x^2+x^2*cos(b^2*%pi*x^2)*b^2*%pi-_ + 6*FresnelC(b*x)^2*%pi-2*x^4*FresnelC(b*x)^2*b^4*%pi^3+_ + 12*x*FresnelC(b*x)*b*%pi*cos(1/2*b^2*%pi*x^2)+_ + 4*x^3*FresnelC(b*x)*b^3*%pi^2*sin(1/2*b^2*%pi*x^2)-_ + 4*sin(b^2*%pi*x^2))/b^4/%pi^3 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 347 + +--S 348 of 395 +--a0069:= integrate(t0069,x) +--E 348 + +--S 349 of 395 +--m0069:= a0069-r0069 +--E 349 + +--S 350 of 395 +--d0069:= D(m0069,x) +--E 350 + +--S 351 of 395 +t0070:= x^7*FresnelC(b*x)^2 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 351 + +--S 352 of 395 +r0070:= -105/16*x^2/b^6/%pi^4+7/48*x^6/b^2/%pi^2+_ + 55/16*x^2*cos(b^2*%pi*x^2)/b^6/%pi^4-_ + 1/16*x^6*cos(b^2*%pi*x^2)/b^2/%pi^2-105/8*FresnelC(b*x)^2/b^8/%pi^4+_ + 1/8*x^8*FresnelC(b*x)^2+1/4*x*FresnelC(b*x)*_ + (7*(15-b^4*%pi^2*x^4)*cos(1/2*b^2*%pi*x^2)+_ + b^2*%pi*x^2*(35-b^4*%pi^2*x^4)*sin(1/2*b^2*%pi*x^2))/b^7/%pi^4-_ + 10*sin(b^2*%pi*x^2)/b^8/%pi^5+5/8*x^4*sin(b^2*%pi*x^2)/b^4/%pi^3 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 352 + +--S 353 of 395 +--a0070:= integrate(t0070,x) +--E 353 + +--S 354 of 395 +--m0070:= a0070-r0070 +--E 354 + +--S 355 of 395 +--d0070:= D(m0070,x) +--E 355 + +--S 356 of 395 +t0071:= sin(1/2*b^2*%pi*x^2)*FresnelC(b*x)/x^10 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 356 + +--S 357 of 395 +r0071:= -1/756*b^3*%pi/x^6+1/3780*b^7*%pi^3/x^2-_ + 11/3024*b^3*%pi*cos(b^2*%pi*x^2)/x^6+_ + 5/2016*b^7*%pi^3*cos(b^2*%pi*x^2)/x^2+_ + 1/1890*b^9*%pi^5*FresnelC(b*x)^2-_ + 1/945*FresnelC(b*x)*(b^2*%pi*x^2*(15-b^4*%pi^2*x^4)*_ + cos(1/2*b^2*%pi*x^2)+(105-3*b^4*%pi^2*x^4+b^8*%pi^4*x^8)*_ + sin(1/2*b^2*%pi*x^2))/x^9-1/144*b*sin(b^2*%pi*x^2)/x^8+_ + 67/30240*b^5*%pi^2*sin(b^2*%pi*x^2)/x^4+83/30240*_ + b^9*%pi^4*Si(b^2*%pi*x^2) +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 357 + +--S 358 of 395 +--a0071:= integrate(t0071,x) +--E 358 + +--S 359 of 395 +--m0071:= a0071-r0071 +--E 359 + +--S 360 of 395 +--d0071:= D(m0071,x) +--E 360 + +--S 361 of 395 +t0072:= sin(1/2*b^2*%pi*x^2)*FresnelC(b*x)/x^6 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 361 + +--S 362 of 395 +r0072:= -1/60*b^3*%pi/x^2-1/24*b^3*%pi*cos(b^2*%pi*x^2)/x^2-_ + 1/30*b^5*%pi^3*FresnelC(b*x)^2-_ + 1/15*FresnelC(b*x)*(b^2*%pi*x^2*cos(1/2*b^2*%pi*x^2)+_ + (3-b^4*%pi^2*x^4)*sin(1/2*b^2*%pi*x^2))/x^5-_ + 1/40*b*sin(b^2*%pi*x^2)/x^4-7/120*b^5*%pi^2*Si(b^2*%pi*x^2) +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 362 + +--S 363 of 395 +--a0072:= integrate(t0072,x) +--E 363 + +--S 364 of 395 +--m0072:= a0072-r0072 +--E 364 + +--S 365 of 395 +--d0072:= D(m0072,x) +--E 365 + +--S 366 of 395 +t0073:= sin(1/2*b^2*%pi*x^2)*FresnelC(b*x)/x^2 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 366 + +--S 367 of 395 +r0073:= 1/2*b*%pi*FresnelC(b*x)^2-FresnelC(b*x)*sin(1/2*b^2*%pi*x^2)/x+_ + 1/4*b*Si(b^2*%pi*x^2) +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 367 + +--S 368 of 395 +--a0073:= integrate(t0073,x) +--E 368 + +--S 369 of 395 +--m0073:= a0073-r0073 +--E 369 + +--S 370 of 395 +--d0073:= D(m0073,x) +--E 370 + +--S 371 of 395 +t0074:= x^2*sin(1/2*b^2*%pi*x^2)*FresnelC(b*x) +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 371 + +--S 372 of 395 +r0074:= -1/4*(-b^2*%pi*x^2+4*x*FresnelC(b*x)*b*%pi*cos(1/2*b^2*%pi*x^2)-_ + 2*FresnelC(b*x)^2*%pi-sin(b^2*%pi*x^2))/b^3/%pi^2 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 372 + +--S 373 of 395 +--a0074:= integrate(t0074,x) +--E 373 + +--S 374 of 395 +--m0074:= a0074-r0074 +--E 374 + +--S 375 of 395 +--d0074:= D(m0074,x) +--E 375 + +--S 376 of 395 +t0075:= x^6*sin(1/2*b^2*%pi*x^2)*FresnelC(b*x) +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 376 + +--S 377 of 395 +r0075:= -1/12*(45*b^2*%pi*x^2-x^6*b^6*%pi^3-21*x^2*cos(b^2*%pi*x^2)*b^2*%pi+_ + 90*FresnelC(b*x)^2*%pi-180*x*FresnelC(b*x)*b*_ + %pi*cos(1/2*b^2*%pi*x^2)+12*x^5*FresnelC(b*x)*b^5*%pi^3*_ + cos(1/2*b^2*%pi*x^2)-60*x^3*FresnelC(b*x)*b^3*%pi^2*_ + sin(1/2*b^2*%pi*x^2)+66*sin(b^2*%pi*x^2)-_ + 3*x^4*sin(b^2*%pi*x^2)*b^4*%pi^2)/b^7/%pi^4 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 377 + +--S 378 of 395 +--a0075:= integrate(t0075,x) +--E 378 + +--S 379 of 395 +--m0075:= a0075-r0075 +--E 379 + +--S 380 of 395 +--d0075:= D(m0075,x) +--E 380 + +--S 381 of 395 +t0076:= cos(1/2*b^2*%pi*x^2)*FresnelC(b*x)/x^8 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 381 + +--S 382 of 395 +r0076:= -1/84*b/x^6+1/420*b^5*%pi^2/x^2-1/84*b*cos(b^2*%pi*x^2)/x^6+_ + 1/84*b^5*%pi^2*cos(b^2*%pi*x^2)/x^2+1/210*b^7*%pi^4*FresnelC(b*x)^2-_ + 1/105*FresnelC(b*x)*((15-b^4*%pi^2*x^4)*cos(1/2*b^2*%pi*x^2)-_ + b^2*%pi*x^2*(3-b^4*%pi^2*x^4)*sin(1/2*b^2*%pi*x^2))/x^7+_ + 1/105*b^3*%pi*sin(b^2*%pi*x^2)/x^4+1/70*b^7*%pi^3*Si(b^2*%pi*x^2) +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 382 + +--S 383 of 395 +--a0076:= integrate(t0076,x) +--E 383 + +--S 384 of 395 +--m0076:= a0076-r0076 +--E 384 + +--S 385 of 395 +--d0076:= D(m0076,x) +--E 385 + +--S 386 of 395 +t0077:= cos(1/2*b^2*%pi*x^2)*FresnelC(b*x)/x^4 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 386 + +--S 387 of 395 +r0077:= -1/12*(b*x+x*cos(b^2*%pi*x^2)*b+2*x^3*FresnelC(b*x)^2*b^3*%pi^2+_ + 4*cos(1/2*b^2*%pi*x^2)*FresnelC(b*x)-4*FresnelC(b*x)*b^2*%pi*x^2*_ + sin(1/2*b^2*%pi*x^2)+2*b^3*%pi*Si(b^2*%pi*x^2)*x^3)/x^3 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 387 + +--S 388 of 395 +--a0077:= integrate(t0077,x) +--E 388 + +--S 389 of 395 +--m0077:= a0077-r0077 +--E 389 + +--S 390 of 395 +--d0077:= D(m0077,x) +--E 390 + +--S 391 of 395 +t0078:= x^4*cos(1/2*b^2*%pi*x^2)*FresnelC(b*x) +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 391 + +--S 392 of 395 +r0078:= 1/4*(-3*b^2*%pi*x^2+x^2*cos(b^2*%pi*x^2)*b^2*%pi-_ + 6*FresnelC(b*x)^2*%pi+12*x*FresnelC(b*x)*b*%pi*_ + cos(1/2*b^2*%pi*x^2)+4*x^3*FresnelC(b*x)*_ + b^3*%pi^2*sin(1/2*b^2*%pi*x^2)-4*sin(b^2*%pi*x^2))/b^5/%pi^3 +--R +--R There are no library operations named FresnelC +--R Use HyperDoc Browse or issue +--R )what op FresnelC +--R to learn if there is any operation containing " FresnelC " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R FresnelC with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 392 + +--S 393 of 395 +--a0078:= integrate(t0078,x) +--E 393 + +--S 394 of 395 +--m0078:= a0078-r0078 +--E 394 + +--S 395 of 395 +--d0078:= D(m0078,x) +--E 395 + +)spool +\end{chunk} +\eject +\begin{thebibliography}{99} +\bibitem{1} +Rich, Albert D. ``Rule-based Mathematics'' \verb|www.apmaths.uwo.ca/~arich| +\end{thebibliography} +\end{document}