Re: 回复: [sage-support] Re: 3D plot in sage
Thank you! - 原文 - 发件人: Jaap Spies 主 题: Re: 回复: [sage-support] Re: 3D plot in sage时 间: 2010年3月16日 05:43:18wxu...@sohu.com wrote:gt; Thank you very much!gt;gt; I will try this.gt;You could try the experimental version found here:http://sage.math.washington.edu/home/jsp/SPKGS/ETS/Jaap-- To post to this group, send email to sage-supp...@googlegroups.comto unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.comfor more options, visit this group at http://groups.google.com/group/sage-supportURL: http://www.sagemath.org -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
Re: 回复: [sage-support] Re: 3D plot in sage
Hi Jason and everyone,Thank you very much for your reply.Now I have a function or a set of data depending all the three coordinates x, y, z.In other words, there is a corresponding value at every point in 3 dimensional space, which maybevaries from -1 to 1. I want use color to represent the values in every point in 3D space.For example in a room there is a temperature value at every point in 3D space of the room, I want describe the temperature value by color for every point in the room.I really haven't find a proper example figure from internet.thanks,YC - 原文 - 发件人: Jason Grout 主 题: Re: 回复: [sage-support] Re: 3D plot in sage时 间: 2010年3月16日 05:19:05On 03/12/2010 05:43 AM, wxu...@sohu.com wrote:gt; Actually I do need them to be plotted by color.gt; it seems that sage is not designed for this way.gt; could anyone give some information aboutgt; what open source software can do this?gt; I really don't understand what sort of plot you want. Can you post somepictures giving examples of what sort of plot you want, or be extremelyprecise in describing *exactly* how you want to visually represent thisfunction? There are lots of ways to represent a 4d function like this.Thanks,Jason-- Jason Grout-- To post to this group, send email to sage-supp...@googlegroups.comto unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.comfor more options, visit this group at http://groups.google.com/group/sage-supportURL: http://www.sagemath.org -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
Re: 回复: [sage-support] Re: 3D plot in sage
Thank you very much! I will try this.regards,YC - 原文 - 发件人: Jason Grout 主 题: Re: 回复: [sage-support] Re: 3D plot in sage时 间: 2010年3月16日 03:36:36On 03/16/2010 02:24 AM, wxu...@sohu.com wrote:gt; Hi Jason and everyone,gt; gt; Thank you very much for your reply.gt; gt; Now I have a function or a set of data depending all the three gt; coordinates x, y, z.gt; In other words, there is a corresponding value at every point in 3 gt; dimensional space, which maybegt; varies from -1 to 1. I want use color to represent the values in every gt; point in 3D space.gt; gt; For example in a room there is a temperature value at every point in 3D gt; space of the room, Igt; want describe the temperature value by color for every point in the room.gt; gt; I really haven't find a proper example figure from internet.Mayavi2 might be the best tool for this job. Seehttp://code.enthought.com/projects/mayavi/docs/development/html/mayavi/mlab.html#visualizing-volumetric-scalar-datafor some examples.Thanks,Jason-- Jason Grout-- To post to this group, send email to sage-supp...@googlegroups.comto unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.comfor more options, visit this group at http://groups.google.com/group/sage-supportURL: http://www.sagemath.org -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
[sage-support] help with chanin dirivatives
Hi everyone,I have a function f=f(eta, bx, bt), in which diff(eta,x)=k(bx,bt)
and diff(eta,t)=-omega(bx,bt) withbx=delta*x and bt=delta^2*t. I want to
calculate the second order derivative diff(diff(f,x)). Theresult should be
k^2*D[0,0](f)+2*delta*k*D[0,1](f)+delta*D[0](k)*D[0](f)+delta^2*D[1,1](f).but
when I did as
follows:var('x,t,bx,bt,delta')bx=function('bx',x)bx=delta*xbt=function('bt',t)bt=delta^2*tk=function('k',bx,bt)omega=function('omega',bx,bt)eta=function('eta',x,t)f=function('f',eta,bx,bt)it
does not work. could anyone help me with that?Tanks in advanced!regards,YC
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Re: 回复: [sage-support] Re: 3D plot in sage
Actually I do need them to be plotted by color.it seems that sage is not
designed for this way.could anyone give some information aboutwhat open source
software can do this?Thanks a lot!YC - 原文 - 发件人: Jason Grout 主 题: Re:
回复: [sage-support] Re: 3D plot in sage时 间: 2010年3月12日 01:26:30On 03/12/2010
03:51 AM, Marshall Hampton wrote:gt; One option is several implicit plots,
colored by value, i.e. somethinggt; like:gt; gt; var('x,y,z')gt;
f=cos(x)*cos(y)+cos(y)*cos(z)+cos(z)*cos(x)gt; gt; imps = []gt; plot_range =
srange(0,3,.75)gt; color_range = [i/N(len(plot_range)) for i in
range(len(plot_range))]gt; gt; for i,q in enumerate(plot_range):gt; red
= color_range[i]gt; imps.append(implicit_plot3d(f-q==0, (x, -2, 2), (y,
-2, 2), (z,gt; -2, 2), opacity = .5, rgbcolor = (red,0,1-red)))gt; gt;
show(sum(imps))gt; If you didn't need them to be plotted by color, then you
could use thecontour option, like in the doc examples:sage:
implicit_plot3d((x^2 + y^2 + z^2), (x, -2, 2), (y, -2, 2), (z, -2,2),
plot_points=60, contour=[1,3,5])Jason-- To post to this group, send email to
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回复: [sage-support] Re: 3D plot in sage
I don't want to plot f(x,y,z)=0.Yes, it should a 4d plot as you said.can that
be done in sage?Thanks!YC - 原文 - 发件人: John H Palmieri 主 题:
[sage-support] Re: 3D plot in sage时 间: 2010年3月10日 07:04:29On Mar 10,
9:39nbsp;am, wxu...@sohu.com wrote:gt; Hi everyone,I want do this thing as
follows in sage, is that
OK?var('x,y,z')f=cos(x)*cos(y)+cos(y)*cos(z)+cos(z)*cos(x)and then I want to
plot f. how can do it in sage?Thanks in advance!regards,YCIsn't this a 4d plot?
Or do you want to plot f(x,y,z)=0? In thatcase, you could dosage:
implicit_plot3d(f == 0, (x, -2, 2), (y, -2, 2), (z, -2, 2))--John-- To post to
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[sage-support] 3D plot in sage
Hi everyone,I want do this thing as follows in sage, is that
OK?var('x,y,z')f=cos(x)*cos(y)+cos(y)*cos(z)+cos(z)*cos(x)and then I want to
plot f. how can do it in sage?Thanks in advance!regards,YC
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[sage-support] for help with partial differencial equations
Hi everyone,I want to use sage to solve the partial differentialnbsp; equations analytically.can anyone help to point out where I can find the documents about that?Thank you very much!YC -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
[sage-support] about diff
Hi everyone,
I have a question for help. I define
phi1=function('phi1',x,y,t)
phi2=function('phi2',x,y,t)
phi3=function('phi3',x,y,t)
psi=function('psi',x,y,t)
x0=function('x0',x,y,t)
y0=function('y0',x,y,t)
theta=function('theta',x,y,t)
phi1=cos(theta)*(x-x0)+sin(theta)*(y-y0)
phi2=((-cos(theta)+sqrt(3)*sin(theta))*(x-x0)+(-sqrt(3)*cos(theta)-sin(theta))*(y-y0))/2
phi3=((-cos(theta)-sqrt(3)*sin(theta))*(x-x0)+(sqrt(3)*cos(theta)-sin(theta))*(y-y0))/2
then I define a set equations of:
eq1=diff(phi1,t)==diff(psi,x)*diff(phi1,x)+diff(psi,y)+diff(phi1,y)...
which are too long, I don't list them here.
then I use
eq1.subsitute.expression(diff(theta,t)==tt,diff(x0,t)==xt,diff(y0,t)==yt)
solve([eq1,eq2,eq3],tt,xt,yt)
to get the equations of tt, xt and yt.
the results are
[tt=r1, xt=(D[0](theta)(t, x, y)^2)]
my question is, here the D[0](theta)(t,x,y)^2 is the derivative to
t or to x? I guess it is still the derivative to x, because
diff(theta(t,x,y),x) still got D[0](theta)(x,y,t),
but I am not sure. So can anyone help me with that?
thanks in advance!
YC
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[sage-support] help about the function diff()
Hi, all I just saw that if I defined a function: f=f(e^t), the f.diff(f,t) will give e^t*D[0](f)(e^t). and the question is what is the meaning of D[0](f)(e^t)? I can find that in the help of diff(). thanks in advance. --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] why this is wrong
Hi, all
I typed the followings,
var('f,A,p,m')
f=A*p*(1+p)^m/[(1+p)^m-1]
but it produced a error as follows,
TypeError: unsupported operand parent(s) for '/': 'Symbolic Ring' and
'type 'list''
I am not clear about that. what is wrong?
Thanks in advance!
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[sage-support] Re: why this is wrong
I am so sorry. I just typed the bracket wrong.
how can I delete the email?
wxu...@sohu.com 写道:
Hi, all
I typed the followings,
var('f,A,p,m')
f=A*p*(1+p)^m/[(1+p)^m-1]
but it produced a error as follows,
TypeError: unsupported operand parent(s) for '/': 'Symbolic Ring' and
'type 'list''
I am not clear about that. what is wrong?
Thanks in advance!
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[sage-support] How to change the config of sage
Hi all, when I use sage.4.0.2 to plot a picture, it use the eog to show it in default. But the eog can't save a gif file. so I want to know how to change the default config of sage to show something like a picture or a dvi file, etc. Thanks in advance! --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] [sage-support]how to collect the same items
Hi, I have another question. I have got the expression, a^2*x^4+b*x^4+c*x+d*y*x^4...(many items) I want to get the coefficient of all the x,x^2,x^3,x^4 here for x^4 is (a^2+b+d*y...) how can I get it? Thanks in advance! YC Xu --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: [sage-support]how to simply the equation
Thank you very much.
Mike Hansen 写道:
Hello,
2009/10/12 wxu...@sohu.com:
Hi, everyone, I got the expression,
sin(t)^8 + 4*sin(t)^6*cos(t)^2 + 6*sin(t)^4*cos(t)^4 +
4*sin(t)^2*cos(t)^6 + cos(t)^8
actually it is 1. how can I get it?
Here you go:
sage: t = var('t')
sage: a = sin(t)^8 + 4*sin(t)^6*cos(t)^2 + 6*sin(t)^4*cos(t)^4 +
4*sin(t)^2*cos(t)^6 + cos(t)^8
sage: a.trig_simplify()
1
--Mike
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[sage-support] Re: [sage-support]how to collect the same items
The same expression, How can I want to get
the coefficient of x^4*y?
Thank you!
Mike Hansen 写道:
Hello,
2009/10/12 wxu...@sohu.com:
Hi, I have another question.
I have got the expression,
a^2*x^4+b*x^4+c*x+d*y*x^4...(many items)
I want to get the coefficient of all the x,x^2,x^3,x^4
here for x^4 is (a^2+b+d*y...)
how can I get it?
Something like this:
sage: var('a,b,c,d,x,y')
(a, b, c, d, x, y)
sage: ex = a^2*x^4+b*x^4+c*x+d*y*x^4
sage: ex.coefficient(x^4)
a^2 + d*y + b
--Mike
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[sage-support] a question about the plotting in sage
I have some data from finite element calculating. I record the value of a variable at every node of each element. and I had plotted in matlab using the fellowing sentences: fill(X,Y,Stress_z); here the X and Y are the arrays of the x and y coordinates. and the Stress_z is the value of the variable at nodes. I want to know whether there is a function or how to do the same thing in Sage? Thanks a lot! --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: a question about the plotting in sage
As you said, I read the help about the list_plot3d. It seems to be but not exactly what I want. I want the value of the variable to be draw by different colors, which the list_plot3d can't do. So can you give another favor? Thanks! On 7月3日, 下午6时26分, David Joyner wdjoy...@gmail.com wrote: Maybe list_plot3d is what you want? Type list_plot3d? (without the quotes) at the prompt to see examples. On Fri, Jul 3, 2009 at 6:03 AM, wxuyecwxu...@sohu.com wrote: I have some data from finite element calculating. I record the value of a variable at every node of each element. and I had plotted in matlab using the fellowing sentences: fill(X,Y,Stress_z); here the X and Y are the arrays of the x and y coordinates. and the Stress_z is the value of the variable at nodes. I want to know whether there is a function or how to do the same thing in Sage? Thanks a lot! --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
