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From: SourceForge.net <noreply@so...>  20110824 17:59:55

Bugs item #3397562, was opened at 20110824 13:31 Message generated for change (Settings changed) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3397562&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Integration Group: None >Status: Pending >Resolution: Works For Me Priority: 5 Private: No Submitted By: https://www.google.com/accounts () Assigned to: Nobody/Anonymous (nobody) Summary: sin(x^2)/(x^2) improper integral incorrect? Initial Comment: (%i1) integrate(sin(x^2)/(x^2),x,1,inf); defint: integral is divergent. This used to just return the integral as a nounform. Numerical approximation says it's about 0.2862504407259549. Thanks!  >Comment By: Raymond Toy (rtoy) Date: 20110824 13:59 Message: What version are you using? The current version returns %i*gamma_incomplete(1,2*%i)/2+%i*gamma_incomplete(1,2*%i)/2+1/2 This is approximately .6734567682657728. quad_qagi also says the integral is approximately 0.67335. Marking this as pending/worksforme  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3397562&group_id=4933 
From: SourceForge.net <noreply@so...>  20110824 17:36:00

Bugs item #3397562, was opened at 20110824 17:31 Message generated for change (Tracker Item Submitted) made by You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3397562&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Integration Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: https://www.google.com/accounts () Assigned to: Nobody/Anonymous (nobody) Summary: sin(x^2)/(x^2) improper integral incorrect? Initial Comment: (%i1) integrate(sin(x^2)/(x^2),x,1,inf); defint: integral is divergent. This used to just return the integral as a nounform. Numerical approximation says it's about 0.2862504407259549. Thanks!  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3397562&group_id=4933 
From: SourceForge.net <noreply@so...>  20110824 17:35:26

Bugs item #3382358, was opened at 20110729 18:29 Message generated for change (Comment added) made by You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3382358&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Integration Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: https://www.google.com/accounts () Assigned to: Nobody/Anonymous (nobody) Summary: integrating function with signum incorrect Initial Comment: In Maxima 5.24.0: (%i11) integrate(x*signum(x^21/4),x,1,0); 1 (%o11)  2 But the picture makes it pretty clear this should be 1/4. Is this antideriv ok? (%i15) integrate(x*signum(x^21/4),x); ! 2 1! !x  ! ! 4! (%o15)  2 This was originally reported at the Sage trac at http://trac.sagemath.org/sage_trac/ticket/11590  >Comment By: https://www.google.com/accounts () Date: 20110824 17:33 Message: Good point, and we're working on getting that loaded in automatically. Doesn't fix the original problem, though.  Comment By: Barton Willis (willisbl) Date: 20110730 02:14 Message: By the way: (%i4) load(abs_integrate)$ Correct antiderivative: (%i5) 'integrate(x*signum(x^21/4),x); (%o5) abs(x^21/4)/2 Correct definite integral (%i6) 'integrate(x*signum(x^21/4),x,1,0); (%o6) 1/4  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3382358&group_id=4933 
From: SourceForge.net <noreply@so...>  20110824 13:54:29

Bugs item #3395683, was opened at 20110821 11:29 Message generated for change (Comment added) made by nldias You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3395683&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Simplification Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Nelson Luís Dias (nldias) Assigned to: Nobody/Anonymous (nobody) Summary: as of Maxima5.21.1, depends() does not allow a similarity t Initial Comment: Hi: my name is Nelson Dias, and I am an Associate Professor in Environmental Engineering at the Federal University of Paraná, Brazil. Below is a classical problem: it transforms the PDE (dPsi/dy)(d^2Psi/dxdy)  (dPsi/dx)(d^2Psi/dy^2)  nu*(d^3Psi/dy^3) = 0 into the ODE 2f''' + f f'' = 0 through the similarity transform U = U*delta*eta, delta = (nu*x/U)^(1/2), eta = y/delta. This is the classical Blasius solution for a laminar boundarylayer. The code below transforms the PDE into the ODE: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ delta : (nu*x/U)^(1/2)$ eta : y/delta$ depends(f,eta)$ psi : U*delta*f$ eq : diff(psi,y) * diff(psi,x,1,y,1)  diff(psi,x)*diff(psi,y,2)  nu*diff(psi,y,3)$ factor(eq); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ In Maxima 5.20.1 it gives the right answer: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (%i1) batch(psibla.max) batching /home/nldias/software/maxima5.20.1/psibla.max nu x 1/2 (%i2) delta : () U y (%i3) eta :  delta (%i4) depends(f, eta) (%i5) psi : U delta f (%i6) eq :  nu diff(psi, y, 3)  diff(psi, x) diff(psi, y, 2) + diff(psi, y) diff(psi, x, 1, y, 1) (%i7) factor(eq) 3 2 d f d f 2 (2  + f ) U y 3 y 2 d() d() nu x nu x sqrt() sqrt() U U (%o7)   2 x ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ but it fails for all the following versions: 5.21.1 5.22.1 5.23.2 5.24.0 5.25.0 giving the following error: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (%i1) batch(psibla.max) read and interpret file: /home/nldias/software/maxima5.25.0/psibla.max nu x 1/2 (%i2) delta : () U y (%i3) eta :  delta (%i4) depends(f, eta) y depends: argument must be a symbol; found  nu x sqrt() U  an error. To debug this try: debugmode(true); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ I don't know if this is a bug, but if it is not I would very much like to know what the alternative is for the code I used until Maxima5.20.1. Similarity transforms are a big deal to me, and I would like to be able to continue to use this (and other Maxima examples) in my classes. Sincerely Nelson L. Dias  Comment By: Nelson Luís Dias (nldias) Date: 20110824 11:54 Message: Barton, thanks a lot for the alternative; I was not aware about pdiff. Regards Nelson  Comment By: Barton Willis (willisbl) Date: 20110824 07:52 Message: Here is a workaround: (%i45) load(pdiff)$ (%i46) U * (nu*x/U)^(1/2) * F(y/(nu*x/U)^(1/2))$ (%i47) diff(%,y) * diff(%,x,1,y,1)  diff(%,x)*diff(%,y,2)  nu*diff(%,y,3)$ (%i48) ratsubst(w,y/sqrt((nu*x)/U),%)$ (%i49) solve(%,diff(F(w),w,3)); (%o49) [F[(3)](w)=(F(w)*F[(2)](w))/2] If you have questions about this, send a note to the mailing list.  Comment By: Dieter Kaiser (crategus) Date: 20110821 20:02 Message: Thank you very much for your bug report. I had a look at the problem. Because of a bug report the routine i$dependencies has been reworked in 14.12.2009. At this time a check has been added to allow only dependencies from a symbol and not an expression. This might be too restrictive, but on the other hand, if we allow dependencies on expressions, we get expressions which have a syntax which is wrong for the function diff. The following is generated with Maxima 5.20: (%i1) depends(f, 2*x); (%o1) [f(2*x)] (%i2) diff(f, x); (%o2) 2*'diff(f,2*x,1) (%i3) ev(%), nouns; diff: second argument must be a variable; found 2*x  an error. To debug this try: debugmode(true); The problem is that the function diff does not allow the differentiation wrt an expression. Perhaps, we can extend the syntax of the function diff to allow the differentiation wrt an expression. I will think again about this problem. Dieter Kaiser  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3395683&group_id=4933 
From: SourceForge.net <noreply@so...>  20110824 09:56:27

Bugs item #3397031, was opened at 20110823 15:43 Message generated for change (Comment added) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3397031&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Integration Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Pablo (pabloms) Assigned to: Nobody/Anonymous (nobody) Summary: ERROR: quad_qags and matrix Initial Comment: The problem is that it isn't possible integrate a matrix with quad_qags function. I have a 4x1 matrix, for example, and I want integrate componet by component with a bucle, but it doesn't work... I used a trap to get my objetive: I used determinant() function to convert the 1x1 vector to a number. ;)  >Comment By: Barton Willis (willisbl) Date: 20110824 04:56 Message: Another thing: you didn't need to use determinant to extract the 1,1 entry of a 1x1 matrix. Here are two ways: (%i56) m : matrix([42]); (%o56) matrix([42]) (%i57) first(first(m)); (%o57) 42 (%i58) m, scalarmatrixp : 'all; (%o58) 42  Comment By: Barton Willis (willisbl) Date: 20110824 04:40 Message: You can do want you want by mapping a lambda form onto the matrix: (%i37) matrixmap(lambda([s], first(quad_qags(s,x,0,1,'epsrel=1.0d10))), matrix([1,x],[x^2,x^3])); (%o37) matrix([1.0,0.5],[0.333333333333333,0.25]) Correct me if I'm mistaken, but isn't your report a feature request, not a bug?  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3397031&group_id=4933 
From: SourceForge.net <noreply@so...>  20110824 09:52:01

Bugs item #3395683, was opened at 20110821 08:29 Message generated for change (Comment added) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3395683&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Simplification Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Nelson Luís Dias (nldias) Assigned to: Nobody/Anonymous (nobody) Summary: as of Maxima5.21.1, depends() does not allow a similarity t Initial Comment: Hi: my name is Nelson Dias, and I am an Associate Professor in Environmental Engineering at the Federal University of Paraná, Brazil. Below is a classical problem: it transforms the PDE (dPsi/dy)(d^2Psi/dxdy)  (dPsi/dx)(d^2Psi/dy^2)  nu*(d^3Psi/dy^3) = 0 into the ODE 2f''' + f f'' = 0 through the similarity transform U = U*delta*eta, delta = (nu*x/U)^(1/2), eta = y/delta. This is the classical Blasius solution for a laminar boundarylayer. The code below transforms the PDE into the ODE: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ delta : (nu*x/U)^(1/2)$ eta : y/delta$ depends(f,eta)$ psi : U*delta*f$ eq : diff(psi,y) * diff(psi,x,1,y,1)  diff(psi,x)*diff(psi,y,2)  nu*diff(psi,y,3)$ factor(eq); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ In Maxima 5.20.1 it gives the right answer: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (%i1) batch(psibla.max) batching /home/nldias/software/maxima5.20.1/psibla.max nu x 1/2 (%i2) delta : () U y (%i3) eta :  delta (%i4) depends(f, eta) (%i5) psi : U delta f (%i6) eq :  nu diff(psi, y, 3)  diff(psi, x) diff(psi, y, 2) + diff(psi, y) diff(psi, x, 1, y, 1) (%i7) factor(eq) 3 2 d f d f 2 (2  + f ) U y 3 y 2 d() d() nu x nu x sqrt() sqrt() U U (%o7)   2 x ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ but it fails for all the following versions: 5.21.1 5.22.1 5.23.2 5.24.0 5.25.0 giving the following error: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (%i1) batch(psibla.max) read and interpret file: /home/nldias/software/maxima5.25.0/psibla.max nu x 1/2 (%i2) delta : () U y (%i3) eta :  delta (%i4) depends(f, eta) y depends: argument must be a symbol; found  nu x sqrt() U  an error. To debug this try: debugmode(true); ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ I don't know if this is a bug, but if it is not I would very much like to know what the alternative is for the code I used until Maxima5.20.1. Similarity transforms are a big deal to me, and I would like to be able to continue to use this (and other Maxima examples) in my classes. Sincerely Nelson L. Dias  >Comment By: Barton Willis (willisbl) Date: 20110824 04:52 Message: Here is a workaround: (%i45) load(pdiff)$ (%i46) U * (nu*x/U)^(1/2) * F(y/(nu*x/U)^(1/2))$ (%i47) diff(%,y) * diff(%,x,1,y,1)  diff(%,x)*diff(%,y,2)  nu*diff(%,y,3)$ (%i48) ratsubst(w,y/sqrt((nu*x)/U),%)$ (%i49) solve(%,diff(F(w),w,3)); (%o49) [F[(3)](w)=(F(w)*F[(2)](w))/2] If you have questions about this, send a note to the mailing list.  Comment By: Dieter Kaiser (crategus) Date: 20110821 17:02 Message: Thank you very much for your bug report. I had a look at the problem. Because of a bug report the routine i$dependencies has been reworked in 14.12.2009. At this time a check has been added to allow only dependencies from a symbol and not an expression. This might be too restrictive, but on the other hand, if we allow dependencies on expressions, we get expressions which have a syntax which is wrong for the function diff. The following is generated with Maxima 5.20: (%i1) depends(f, 2*x); (%o1) [f(2*x)] (%i2) diff(f, x); (%o2) 2*'diff(f,2*x,1) (%i3) ev(%), nouns; diff: second argument must be a variable; found 2*x  an error. To debug this try: debugmode(true); The problem is that the function diff does not allow the differentiation wrt an expression. Perhaps, we can extend the syntax of the function diff to allow the differentiation wrt an expression. I will think again about this problem. Dieter Kaiser  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3395683&group_id=4933 
From: SourceForge.net <noreply@so...>  20110824 09:40:22

Bugs item #3397031, was opened at 20110823 15:43 Message generated for change (Comment added) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3397031&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Integration Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Pablo (pabloms) Assigned to: Nobody/Anonymous (nobody) Summary: ERROR: quad_qags and matrix Initial Comment: The problem is that it isn't possible integrate a matrix with quad_qags function. I have a 4x1 matrix, for example, and I want integrate componet by component with a bucle, but it doesn't work... I used a trap to get my objetive: I used determinant() function to convert the 1x1 vector to a number. ;)  >Comment By: Barton Willis (willisbl) Date: 20110824 04:40 Message: You can do want you want by mapping a lambda form onto the matrix: (%i37) matrixmap(lambda([s], first(quad_qags(s,x,0,1,'epsrel=1.0d10))), matrix([1,x],[x^2,x^3])); (%o37) matrix([1.0,0.5],[0.333333333333333,0.25]) Correct me if I'm mistaken, but isn't your report a feature request, not a bug?  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3397031&group_id=4933 