diff --git a/changelog b/changelog index 86ce996..1d8e5cc 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20110411 tpd src/axiom-website/patches.html 20110411.01.exs.patch +20110411 tpd src/input/Makefile add davis.input +20110411 tpd src/input/davis.input 20110404 exs src/axiom-website/patches.html 20110404.01.exs.patch 20110404 exs src/axiom-website/hyperdoc/axbook.tgz rebuilt 20110404 exs books/bookvol0 replace "operator over" by "operate over" diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 7f6b061..6dfc409 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -3445,6 +3445,8 @@ In process, not yet released

20110328.01.tpd.patch src/axiom-website/download.html add ubuntu
20110404.01.exs.patch -books/bookvol0 replace "operator over" by "operate over" +books/bookvol0 replace "operator over" by "operate over"
+20110411.01.exs.patch +src/input/davis.input added
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index 70dcda7..6d11d7d 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -301,6 +301,7 @@ REGRESSTESTS= ackermann.regress \ curl.regress curry.regress cwmmt.regress \ cycles1.regress cycles.regress cyfactor.regress \ danzwill.regress danzwill2.regress davenport.regress \ + davis.regress \ decimal.regress defintef.regress defintrf.regress \ derham.regress derivefail.regress \ dfloat.regress dftrig.regress \ @@ -647,7 +648,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/cycloid2.input \ ${OUT}/cycloid3.input ${OUT}/cyfactor.input ${OUT}/damped.input \ ${OUT}/danzwill.input ${OUT}/danzwill2.input ${OUT}/davenport.input \ - ${OUT}/decimal.input ${OUT}/defs.input \ + ${OUT}/davis.input ${OUT}/decimal.input ${OUT}/defs.input \ ${OUT}/defintef.input ${OUT}/defintrf.input ${OUT}/derham.input \ ${OUT}/derivefail.input ${OUT}/de2re.input \ ${OUT}/dfloat.input ${OUT}/dftrig.input ${OUT}/dhmatrix.input \ @@ -946,6 +947,7 @@ DOCFILES= \ ${DOC}/d03eef.input.dvi ${DOC}/d03faf.input.dvi \ ${DOC}/damped.input.dvi ${DOC}/danzwill.input.dvi \ ${DOC}/danzwill2.input.dvi ${DOC}/davenport.input.dvi \ + ${DOC}/davis.input.dvi \ ${DOC}/de2re.input.dvi ${DOC}/decimal.input.dvi \ ${DOC}/defintef.input.dvi ${DOC}/defintrf.input.dvi \ ${DOC}/defs.input.dvi ${DOC}/derham.input.dvi \ diff --git a/src/input/davis.input.pamphlet b/src/input/davis.input.pamphlet new file mode 100644 index 0000000..4bdf6b0 --- /dev/null +++ b/src/input/davis.input.pamphlet @@ -0,0 +1,1149 @@ +\documentclass{article} +\usepackage{axiom} +\setlength{\textwidth}{400pt} +\begin{document} +\title{\$SPAD/src/input davis.input} +\author{Timothy Daly} +\maketitle +\begin{abstract} +From Davis, Phillip and Rabinowitz, Phillip +``Method of Numerical Integration'' +Academic Press 1984 +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)spool davis.output +)set message test on +)set message auto off +)clear all + +--S 1 of 101 +f2:=1/(1+t^4) +--R +--R +--R 1 +--R (1) ------ +--R 4 +--R t + 1 +--R Type: Fraction Polynomial Integer +--E 1 + +--S 2 of 101 +i2:=integrate(f2,t) +--R +--R +--R (2) +--R +-+ +-+ 2 +-+ +-+ 2 +--R \|2 log(t\|2 + t + 1) - \|2 log(- t\|2 + t + 1) +--R + +--R +-+ 1 +-+ 1 +--R - 2\|2 atan(---------) - 2\|2 atan(---------) +--R +-+ +-+ +--R t\|2 - 1 t\|2 + 1 +--R / +--R 8 +--R Type: Union(Expression Integer,...) +--E 2 + +--S 3 of 101 +d2:=integrate(f2,x=0,t) +--R +--R There are 8 exposed and 1 unexposed library operations named +--R integrate having 3 argument(s) but none was determined to be +--R applicable. Use HyperDoc Browse, or issue +--R )display op integrate +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--RDaly Bug +--R Cannot find a definition or applicable library operation named +--R integrate with argument type(s) +--R Fraction Polynomial Integer +--R Equation Polynomial Integer +--R Variable t +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 3 + +--S 4 of 101 +a2:=1/(4*sqrt(2))*log((x^2+x*sqrt(2)+1)/(x^2-x*sqrt(2)+1))+_ + (1/2*sqrt(2))*(atan(x/(sqrt(2)-x))+atan(x/(sqrt(2)+x))) +--R +--R +--R +-+ 2 +--R +-+ - x\|2 - x - 1 +-+ x +-+ x +--R \|2 log(----------------) + 4\|2 atan(--------) + 4\|2 atan(--------) +--R +-+ 2 +-+ +-+ +--R x\|2 - x - 1 \|2 - x \|2 + x +--R (3) --------------------------------------------------------------------- +--R 8 +--R Type: Expression Integer +--E 4 + +--S 5 of 101 +r2:="" +--R +--R +--R (4) "" +--R Type: String +--E 5 + +--S 6 of 101 +f56:=sin(%pi*x) +--R +--R +--R (5) sin(%pi x) +--R Type: Expression Integer +--E 6 + +--S 7 of 101 +i56:=integrate(f56,x) +--R +--R +--R cos(%pi x) +--R (6) - ---------- +--R %pi +--R Type: Union(Expression Integer,...) +--E 7 + +--S 8 of 101 +d56:=integrate(f65,x=0..1) +--R +--R +--R (7) f65 +--R Type: Union(f1: OrderedCompletion Expression Integer,...) +--E 8 + +--S 9 of 101 +a56:=2/%pi +--R +--R +--R 2 +--R (8) --- +--R %pi +--R Type: Pi +--E 9 + +--S 10 of 101 +r56:="" +--R +--R +--R (9) "" +--R Type: String +--E 10 + +--S 11 of 101 +f57:=f(x) +--R +--R There are no library operations named f +--R Use HyperDoc Browse or issue +--R )what op f +--R to learn if there is any operation containing " f " in its name. +--R +--RDaly Bug +--R Cannot find a definition or applicable library operation named f +--R with argument type(s) +--R Variable x +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 11 + +--S 12 of 101 +i57:=integrate(f57,x) +--R +--R +--R (10) f57 x +--R Type: Polynomial Fraction Integer +--E 12 + +--S 13 of 101 +d57:=integrate(f57,a..b) +--R +--R There are 15 exposed and 7 unexposed library operations named +--R integrate having 2 argument(s) but none was determined to be +--R applicable. Use HyperDoc Browse, or issue +--R )display op integrate +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--RDaly Bug +--R Cannot find a definition or applicable library operation named +--R integrate with argument type(s) +--R Variable f57 +--R Segment Symbol +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 13 + +--S 14 of 101 +a57:=((b-a)/6)*(f(a)+4*f((a+b)/2)+f(b)) +--R +--R There are no library operations named f +--R Use HyperDoc Browse or issue +--R )what op f +--R to learn if there is any operation containing " f " in its name. +--R +--RDaly Bug +--R Cannot find a definition or applicable library operation named f +--R with argument type(s) +--R Variable a +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 14 + +--S 15 of 101 +r57:="degree(f) <= 3" +--R +--R +--R (11) "degree(f) <= 3" +--R Type: String +--E 15 + +--S 16 of 101 +f148:=exp(x^2)*cos(n*x) +--R +--R +--R 2 +--R x +--R (12) cos(n x)%e +--R Type: Expression Integer +--E 16 + +--S 17 of 101 +i148:=integrate(f148,x) +--R +--R +--R x 2 +--R ++ %K +--R (13) | cos(%K n)%e d%K +--R ++ +--R Type: Union(Expression Integer,...) +--E 17 + +--S 18 of 101 +d148:=integrate(f148,x=0..%pi) +--R +--R +--R (14) "failed" +--R Type: Union(fail: failed,...) +--E 18 + +--S 19 of 101 +a148:=((-1)^n/n^2)*2*%pi*exp(%pi^2) +--R +--R +--R 2 +--R %pi n +--R 2%pi %e (- 1) +--R (15) ----------------- +--R 2 +--R n +--R Type: Expression Integer +--E 19 + +--S 20 of 101 +r148:="" +--R +--R +--R (16) "" +--R Type: String +--E 20 + +--S 21 of 101 +f153:=x*cos(x)*sin(n*x) +--R +--R +--R (17) x cos(x)sin(n x) +--R Type: Expression Integer +--E 21 + +--S 22 of 101 +i153:=integrate(f153,x) +--R +--R +--R (18) +--R 2 2 +--R ((- n + 1)x sin(x) + (n + 1)cos(x))sin(n x) - 2n cos(n x)sin(x) +--R + +--R 3 +--R (- n + n)x cos(x)cos(n x) +--R / +--R 4 2 +--R n - 2n + 1 +--R Type: Union(Expression Integer,...) +--E 22 + +--S 23 of 101 +d153:=integrate(f153,x=0..2*%pi) +--R +--R +--R 2 3 +--R (n + 1)sin(2n %pi) + (- 2n + 2n)%pi cos(2n %pi) +--R (19) ------------------------------------------------- +--R 4 2 +--R n - 2n + 1 +--R Type: Union(f1: OrderedCompletion Expression Integer,...) +--E 23 + +--S 24 of 101 +a153a:=-%pi/2 +--R +--R +--R %pi +--R (20) - --- +--R 2 +--R Type: Pi +--E 24 + +--S 25 of 101 +r153a:="n=1" +--R +--R +--R (21) "n=1" +--R Type: String +--E 25 + +--S 26 of 101 +a153b:=-2*n*%pi/(n^2-1) +--R +--R +--R 2n %pi +--R (22) - ------ +--R 2 +--R n - 1 +--R Type: Expression Integer +--E 26 + +--S 27 of 101 +r153b:="n != 1" +--R +--R +--R (23) "n != 1" +--R Type: String +--E 27 + +--S 28 of 101 +fa154:=x*cos(50*x)*sin(n*x) +--R +--R +--R (24) x cos(50x)sin(n x) +--R Type: Expression Integer +--E 28 + +--S 29 of 101 +ia154:=integrate(fa154,x) +--R +--R +--R (25) +--R 2 2 +--R ((- 50n + 125000)x sin(50x) + (n + 2500)cos(50x))sin(n x) +--R + +--R 3 +--R - 100n cos(n x)sin(50x) + (- n + 2500n)x cos(50x)cos(n x) +--R / +--R 4 2 +--R n - 5000n + 6250000 +--R Type: Union(Expression Integer,...) +--E 29 + +--S 30 of 101 +da154:=integrate(fa154,x=0..2*%pi) +--R +--R +--R 2 3 +--R (n + 2500)sin(2n %pi) + (- 2n + 5000n)%pi cos(2n %pi) +--R (26) ------------------------------------------------------- +--R 4 2 +--R n - 5000n + 6250000 +--R Type: Union(f1: OrderedCompletion Expression Integer,...) +--E 30 + +--S 31 of 101 +aa154:=2*n*%pi/(2500-n^2) +--R +--R +--R 2n %pi +--R (27) - --------- +--R 2 +--R n - 2500 +--R Type: Expression Integer +--E 31 + +--S 32 of 101 +ra154:="n != 50" +--R +--R +--R (28) "n != 50" +--R Type: String +--E 32 + +--S 33 of 101 +fb154:=x*sin(n*x)/sqrt(1-(x^2)/(4*%pi^2)) +--R +--R +--R x sin(n x) +--R (29) --------------- +--R +------------+ +--R | 2 2 +--R |- x + 4%pi +--R |------------ +--R | 2 +--R \| 4%pi +--R Type: Expression Integer +--E 33 + +--S 34 of 101 +ib154:=integrate(fb154,x) +--R +--R +--R x +--R ++ %K sin(%K n) +--R (30) | -------------- d%K +--R ++ +-----------+ +--R | 2 2 +--R |4%pi - %K +--R |----------- +--R | 2 +--R \| 4%pi +--R Type: Union(Expression Integer,...) +--E 34 + +--S 35 of 101 +db154:=integrate(fb154,x=0..2*%pi) +--R +--R +--R (31) potentialPole +--R Type: Union(pole: potentialPole,...) +--E 35 + +--S 36 of 101 +ab154:=2*%pi^3*J(1,2*%pi*n) -- J(n,m) is the Bessel function +--R +--R Line 406: --R +--R Line 407: --R +--R Line 408: --R (31) potentialPole +--R Line 409: --R Type: Union(pole: potentialPole,...) +--R Line 410: --E 35 +--R Line 411: +--R Line 412: --S 36 of 101 +--R Line 413: ab154:=2*%pi^3*J(1,2*%pi*n) -- J(n,m) is the Bessel function +--R Error : Quote added at end of line. +--R 1 error(s) parsing +--R There are no library operations named J +--R Use HyperDoc Browse or issue +--R )what op J +--R to learn if there is any operation containing " J " in its name. +--R +--RDaly Bug +--R Cannot find a definition or applicable library operation named J +--R with argument type(s) +--R PositiveInteger +--R Expression 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 36 + +--S 37 of 101 +rb154:="singularity at x=2*%pi +--R +--R +--R (32) "singularity at x=2*%pi" +--R Type: String +--E 37 + +--S 38 of 101 +f155:=log(x)*sin(n*x) +--R +--R +--R (33) log(x)sin(n x) +--R Type: Expression Integer +--E 38 + +--S 39 of 101 +i155:=integrate(f155,x) +--R +--R +--R x +--R ++ +--R (34) | log(%K)sin(%K n)d%K +--R ++ +--R Type: Union(Expression Integer,...) +--E 39 + +--S 40 of 101 +d155:=integrate(f155,x=0..2*%pi) +--R +--R +--R (35) potentialPole +--R Type: Union(pole: potentialPole,...) +--E 40 + +--S 41 of 101 +a155:=(-1/n)*(y+log(2*n*%pi)-Ci(2*n*%pi)) -- y ~ .577215665 Ci is cosine int. +--R +--R +--R - log(2n %pi) + Ci(2n %pi) - y +--R (36) ------------------------------ +--R n +--R Type: Expression Integer +--E 41 + +--S 42 of 101 +r155:="singularity at x=0" +--R +--R +--R (37) "singularity at x=0" +--R Type: String +--E 42 + +--S 43 of 101 +f210:=exp(-x^2) +--R +--R +--R 2 +--R - x +--R (38) %e +--R Type: Expression Integer +--E 43 + +--S 44 of 101 +i210:=integrate(f210,x) +--R +--R +--R +---+ +--R erf(x)\|%pi +--R (39) ------------ +--R 2 +--R Type: Union(Expression Integer,...) +--E 44 + +--S 45 of 101 +d210:=integrate(f210,x=0..%plusInfinity) +--R +--R +--R +---+ +--R \|%pi +--R (40) ------ +--R 2 +--R Type: Union(f1: OrderedCompletion Expression Integer,...) +--E 45 + +--S 46 of 101 +a210:=sqrt(%pi)/2 +--R +--R +--R +---+ +--R \|%pi +--R (41) ------ +--R 2 +--R Type: Expression Integer +--E 46 + +--S 47 of 101 +r210:="" +--R +--R +--R (42) "" +--R Type: String +--E 47 + +--S 48 of 101 +f212:=sech(x)^2 +--R +--R +--R 2 +--R (43) sech(x) +--R Type: Expression Integer +--E 48 + +--S 49 of 101 +i212:=integrate(f212,x) +--R +--R +--R 2 +--R (44) - ----------------------------------------- +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 49 + +--S 50 of 101 +d212:=integrate(f212,x=%minusInfinity..%plusInfinity) +--R +--R +--R (45) potentialPole +--R Type: Union(pole: potentialPole,...) +--E 50 + +--S 51 of 101 +a212:=2 +--R +--R +--R (46) 2 +--R Type: PositiveInteger +--E 51 + +--S 52 of 101 +r212:="" +--R +--R +--R (47) "" +--R Type: String +--E 52 + +--S 53 of 101 +fa238:=exp(-x)*sin(w*x) +--R +--R +--R - x +--R (48) %e sin(w x) +--R Type: Expression Integer +--E 53 + +--S 54 of 101 +ia238:=integrate(fa238,x) +--R +--R +--R - x - x +--R - %e sin(w x) - w cos(w x)%e +--R (49) --------------------------------- +--R 2 +--R w + 1 +--R Type: Union(Expression Integer,...) +--E 54 + +--S 55 of 101 +da238:=integrate(fa238,x=0..%plusInfinity) +--R +--R +--R w +--R (50) ------ +--R 2 +--R w + 1 +--R Type: Union(f1: OrderedCompletion Expression Integer,...) +--E 55 + +--S 56 of 101 +aa238:=w/(1+w^2) +--R +--R +--R w +--R (51) ------ +--R 2 +--R w + 1 +--R Type: Fraction Polynomial Integer +--E 56 + +--S 57 of 101 +ra238:="" +--R +--R +--R (52) "" +--R Type: String +--E 57 + +--S 58 of 101 +fb238:=(x/(1+x^2))*sin(w*x) +--R +--R +--R x sin(w x) +--R (53) ---------- +--R 2 +--R x + 1 +--R Type: Expression Integer +--E 58 + +--S 59 of 101 +ib238:=integrate(fb238,x) +--R +--R +--R x +--R ++ %K sin(%K w) +--R (54) | ------------ d%K +--R ++ 2 +--R %K + 1 +--R Type: Union(Expression Integer,...) +--E 59 + +--S 60 of 101 +db238:=integrate(fb238,x=0..%plusInfinity) +--R +--R +--R (55) "failed" +--R Type: Union(fail: failed,...) +--E 60 + +--S 61 of 101 +ab238:=%pi*exp(-w)/2 +--R +--R +--R - w +--R %pi %e +--R (56) --------- +--R 2 +--R Type: Expression Integer +--E 61 + +--S 62 of 101 +rb238:="" +--R +--R +--R (57) "" +--R Type: String +--E 62 + +--S 63 of 101 +f239:=sin(x/2)^2*sin(w*x)/x +--R +--R +--R x 2 +--R sin(-) sin(w x) +--R 2 +--R (58) --------------- +--R x +--R Type: Expression Integer +--E 63 + +--S 64 of 101 +i239:=integrate(f239,x) +--R +--R +--R %K 2 +--R x sin(--) sin(%K w) +--R ++ 2 +--R (59) | ----------------- d%K +--R ++ %K +--R Type: Union(Expression Integer,...) +--E 64 + +--S 65 of 101 +d239:=integrate(f239,x=0..%plusInfinity) +--R +--R +--R (60) potentialPole +--R Type: Union(pole: potentialPole,...) +--E 65 + +--S 66 of 101 +a239a:=%pi/4 +--R +--R +--R %pi +--R (61) --- +--R 4 +--R Type: Pi +--E 66 + +--S 67 of 101 +r239a:="w<1" +--R +--R +--R (62) "w<1" +--R Type: String +--E 67 + +--S 68 of 101 +a239b:=%pi/8 +--R +--R +--R %pi +--R (63) --- +--R 8 +--R Type: Pi +--E 68 + +--S 69 of 101 +r239b:="w=1" +--R +--R +--R (64) "w=1" +--R Type: String +--E 69 + +--S 70 of 101 +a239c:=0 +--R +--R +--R (65) 0 +--R Type: NonNegativeInteger +--E 70 + +--S 71 of 101 +r239c:="w>1" +--R +--R +--R (66) "w>1" +--R Type: String +--E 71 + +--S 72 of 101 +f385:=x +--R +--R +--R (67) x +--R Type: Variable x +--E 72 + +--S 73 of 101 +i385:=integrate(f385,x) +--R +--R +--R 1 2 +--R (68) - x +--R 2 +--R Type: Polynomial Fraction Integer +--E 73 + +--S 74 of 101 +d385:=integrate(f385,x=0..1) +--R +--R +--R 1 +--R (69) - +--R 2 +--R Type: Union(f1: OrderedCompletion Expression Integer,...) +--E 74 + +--S 75 of 101 +a385:=1/2 +--R +--R +--R 1 +--R (70) - +--R 2 +--R Type: Fraction Integer +--E 75 + +--S 76 of 101 +r385:="" +--R +--R +--R (71) "" +--R Type: String +--E 76 + +--S 77 of 101 +f388:=x^2 +--R +--R +--R 2 +--R (72) x +--R Type: Polynomial Integer +--E 77 + +--S 78 of 101 +i388:=integrate(f388,x) +--R +--R +--R 1 3 +--R (73) - x +--R 3 +--R Type: Polynomial Fraction Integer +--E 78 + +--S 79 of 101 +d388:=integrate(f388,x=0..1) +--R +--R +--R 1 +--R (74) - +--R 3 +--R Type: Union(f1: OrderedCompletion Expression Integer,...) +--E 79 + +--S 80 of 101 +a388:=1/3 +--R +--R +--R 1 +--R (75) - +--R 3 +--R Type: Fraction Integer +--E 80 + +--S 81 of 101 +a388:="" +--R +--R +--R (76) "" +--R Type: String +--E 81 + +--S 82 of 101 +fa453:=abs(x^2+y^2-0.25) +--R +--R +--R 2 2 +--R (77) abs(y + x - 0.25) +--R Type: Expression Float +--E 82 + +--S 83 of 101 +ia453:=integrate(integrate(fa453,x),y) +--R +--R There are 15 exposed and 7 unexposed library operations named +--R integrate having 2 argument(s) but none was determined to be +--R applicable. Use HyperDoc Browse, or issue +--R )display op integrate +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--RDaly Bug +--R Cannot find a definition or applicable library operation named +--R integrate with argument type(s) +--R Expression Float +--R Variable x +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 83 + +--S 84 of 101 +da453:=integrate(integrate(fa453,x=-1..1),y=-1..1) +--R +--R There are 15 exposed and 7 unexposed library operations named +--R integrate having 2 argument(s) but none was determined to be +--R applicable. Use HyperDoc Browse, or issue +--R )display op integrate +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--RDaly Bug +--R Cannot find a definition or applicable library operation named +--R integrate with argument type(s) +--R Expression Float +--R SegmentBinding Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 84 + +--S 85 of 101 +aa453:=(5/3)+(%pi/16) +--R +--R +--R 3%pi + 80 +--R (78) --------- +--R 48 +--R Type: Pi +--E 85 + +--S 86 of 101 +ra453:="singularity along circle with radius = 1/2" +--R +--R +--R (79) "singularity along circle with radius = 1/2" +--R Type: String +--E 86 + +--S 87 of 101 +fb453:=1/(1-x*y) +--R +--R +--R 1 +--R (80) - ------- +--R x y - 1 +--R Type: Fraction Polynomial Integer +--E 87 + +--S 88 of 101 +ib453:=integrate(integrate(fb453,x),y) +--R +--R +--R y +--R ++ log(%K x - 1) +--R (81) | - ------------- d%K +--R ++ %K +--R Type: Union(Expression Integer,...) +--E 88 + +--S 89 of 101 +db453:=integrate(integrate(fb453,x=0..1),y=0..1) +--R +--R There are 15 exposed and 7 unexposed library operations named +--R integrate having 2 argument(s) but none was determined to be +--R applicable. Use HyperDoc Browse, or issue +--R )display op integrate +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--RDaly Bug +--R Cannot find a definition or applicable library operation named +--R integrate with argument type(s) +--RUnion(f1: OrderedCompletion Expression Integer,f2: List OrderedCompletion Expression Integer,fail: failed,pole: potentialPole) +--R SegmentBinding NonNegativeInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 89 + +--S 90 of 101 +ab453:=%pi^2/6 +--R +--R +--R 2 +--R %pi +--R (82) ---- +--R 6 +--R Type: Pi +--E 90 + +--S 91 of 101 +rb453:="" +--R +--R +--R (83) "" +--R Type: String +--E 91 + +--S 92 of 101 +fc453:=sqrt(abs(x-y)) +--R +--R +--R +----------+ +--R (84) \|abs(y - x) +--R Type: Expression Integer +--E 92 + +--S 93 of 101 +ic453:=integrate(integrate(fc453,x),y) +--R +--R +--RDaly Bug +--R >> Error detected within library code: +--R Sorry - cannot handle that integrand yet +--R +--R Continuing to read the file... +--R +--E 93 + +--S 94 of 101 +dc453:=integrate(integrate(fc453,x=0..1),y=0..1) +--R +--R There are 15 exposed and 7 unexposed library operations named +--R integrate having 2 argument(s) but none was determined to be +--R applicable. Use HyperDoc Browse, or issue +--R )display op integrate +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--RDaly Bug +--R Cannot find a definition or applicable library operation named +--R integrate with argument type(s) +--RUnion(f1: OrderedCompletion Expression Integer,f2: List OrderedCompletion Expression Integer,fail: failed,pole: potentialPole) +--R SegmentBinding NonNegativeInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 94 + +--S 95 of 101 +ac453:=8/15 +--R +--R +--R 8 +--R (85) -- +--R 15 +--R Type: Fraction Integer +--E 95 + +--S 96 of 101 +rc453:="singularity along x=y" +--R +--R +--R (86) "singularity along x=y" +--R Type: String +--E 96 + +--S 97 of 101 +f455:=abs(x^2+y^2+z^2-.125) +--R +--R +--R 2 2 2 +--R (87) abs(z + y + x - 0.125) +--R Type: Expression Float +--E 97 + +--S 98 of 101 +i455:=integrate(integrate(integrate(f455,x),y),z) +--R +--R There are 15 exposed and 7 unexposed library operations named +--R integrate having 2 argument(s) but none was determined to be +--R applicable. Use HyperDoc Browse, or issue +--R )display op integrate +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--RDaly Bug +--R Cannot find a definition or applicable library operation named +--R integrate with argument type(s) +--R Expression Float +--R Variable x +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 98 + +--S 99 of 101 +d455:=integrate(integrate(integrate(f455,x=-1..1),y=-1..1),z=-1..1) +--R +--R There are 15 exposed and 7 unexposed library operations named +--R integrate having 2 argument(s) but none was determined to be +--R applicable. Use HyperDoc Browse, or issue +--R )display op integrate +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--RDaly Bug +--R Cannot find a definition or applicable library operation named +--R integrate with argument type(s) +--R Expression Float +--R SegmentBinding Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 99 + +--S 100 of 101 +a455:=7+%pi/120 +--R +--R +--R %pi + 840 +--R (88) --------- +--R 120 +--R Type: Pi +--E 100 + +--S 101 of 101 +r455:="singularity along sphere of radius 1/2" +--R +--R +--R (89) "singularity along sphere of radius 1/2" +--R Type: String +--E 101 + +)spool +)lisp (bye) + +\end{chunk} +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document}