Re: [sage-support] Re: Drawing Circle using simple equation of circle
On Mon, Jun 25, 2012 at 7:39 AM, Slumberland rkhi...@gmail.com wrote:
Okay, that's maybe not the answer you're looking for.
What he means is that you can't plot it explicitly without solving for y.
Implicit is another way of saying
not in the form y =
(or z= , x = etc)
But it can be instructive to figure out how to plot the functions which
define a circle. Is that what you want?
Sage will solve the equation for you. You can type
sage: x,y = var('x,y')
sage: b = x^2 + y^2 == 4
sage: c = solve(b,y)
sage: c
[y == -sqrt(-x^2 + 4), y == sqrt(-x^2 + 4)]
The command solve(b,y) solves your equation for the variable y.
Plotting this way is awkward but you can do it. In this case, we need each
of the functions
-sqrt(-x^2+4),
sqrt(-x^2+4)
Both of these are stored in c.
To get them, you can tell python what parts you want:
c[0].rhs() gives you the right-hand-side{ ;-) of the first equality stored
in c
c[1].rhs() grabs the second.
So, you could do this:
sage: bottom = plot( c[0].rhs(), xmin=-3, xmax=3, aspect_ratio=1)
sage: top = plot(c[0].rhs(), xmin=-3, xmax=3)
sage: show(bottom+top)
and the graph will show, but Python complains that it can't evaluate the
function at some points.
implicit_plot() is easier to use, that's all.
Thanks for explaining the things . :-) It executed the code and it
gives half circle. Anyways if it gives warnings then we should not do
this way.
Thanks once again.
--
Priyanka Kapoor
priyankacool10.wordpress.com
Linux User Group, Ludhiana
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Re: [sage-support] Solving 4th order differential equation
Thanks for helping. I used a mathematical approach for 4th order
derivative i.e substituing double derivative as a variable, solving
for 2nd order differential equation and substituting back and again
solved for 2nd order differentiation.
here is code:
var('w,x,E,L,k1,k2')
y = function('y', x)
w= function('w' , x)
q = function('q', x)
assume(L0)
assume(E0)
q=x
de=E*L*diff(y,x,2)==q
y_res=desolve(de,y,ivar=x,ics=[L,0,0])
des=diff(w,x,x)-y_res==0
dess=desolve(des,w,ivar=x,ics=[0,0,0])
print Solution of bernoulli's equation:,dess
#Remeber plot can't be formed without giving values of
constant###
E=6
L=10
p=plot( 1/120*(20*L^3*x^2 - 10*L^2*x^3 + x^5)/(E*L),(x,0,1),thickness=3)
p.show()
--
Priyanka Kapoor
priyankacool10.wordpress.com
Linux User Group, Ludhiana
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[sage-support] Solving 4th order differential equation
I want to know how to solve fourth order differential equation in
sagemath. Question which i actually want to solve is Euler-bernoulli
equation.
http://en.wikipedia.org/wiki/Euler%E2%80%93Bernoulli_beam_theory
I searched a lot about solving this, but didn't succeed. Does anyone
know how to solve this equation. Whether this equation is solved in
parts by taking second order derivative two times or directly.
Please give any link that shows wonderful working of sagemath
regarding 4th order differential equation. I tried this:
var('k1,k2')
y=function('y',x)
w=function('w',x)
q=function('q',x)
var('x')
de=diff(y,x,x)==q ##here i put (d^2/dx^2)(w)=y , thus (d^4/dx^4)(w)=
(d^2/dx^2)(y)
res=desolve(de,dvar=y,ivar=x)
e=diff(w,x,x)-res==0
res1=desolve(res,dvar=w,ivar=x,contrib_ode=True) ## As solution of
above will give y and again i put y= (d^2/dx^2)(w) i.e substitute back
print res1
print res
NotImplementedError: Maxima was unable to solve this ODE.
Please help.
--
Priyanka Kapoor
priyankacool10.wordpress.com
Linux User Group, Ludhiana
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Re: [sage-support] Solving 4th order differential equation
On Fri, May 25, 2012 at 3:06 PM, David Joyner wdjoy...@gmail.com wrote: Did you try sympy? No. Does it solve 4th order diff. eq.? If yes, can you please give link. And approach that i am using is wrong or invalid? -- Priyanka Kapoor priyankacool10.wordpress.com Linux User Group, Ludhiana -- 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: [sage-support] Solving second degree ODE with constants in sage
I would do it like this:
x = var('x') # independent variable
b = var('b') # constant
y = function('y', x) # unknown function
# define 2nd order ODE; (undampened spring with unit of mass attached)
myode = diff(y,x,2)+b*y == 0 # define 2order ODE
assume(b0) # mass is always possitive
f = desolve_laplace(de = myode,dvar = y, ivar=x)
I should return an expression like:
cos(sqrt(b)*x)*y(0) + sin(sqrt(b)*x)*D[0](y)(0)/sqrt(b)
Thanks. It helped me.
--
Priyanka Kapoor
http://kapoorpriyanka.in
Linux User Group, Ludhiana
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[sage-support] Application/Use of Sage in IT company or Industries
I want to ask that what is the use of sage? Why should we use it? Where its being used till date? These questions might be simple and i want to know before i go deep in sage. Please everyone on this mailing list reply that why you use sage? Whatever i think about sage is that sage is helpful for teaching maths. -- Priyanka Kapoor http://kapoorpriyanka.in Linux User Group, Ludhiana -- 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] Drawing Circle using simple equation of circle
I plotted circle using parametric equation, using circle() function.
But i want to plot x^2+y^2=4
I tried this:
var('x,y')
b=[x^2+y^2==4]
c=plot(b,(x,-2,2),(y,-2,2),color='blue')
c.save('ram.png')
I am getting the following error
TypeError: float() argument must be a string or a number
Can anyone help me. I am new to sage that's why unable to solve errors
--
Priyanka Kapoor
http://kapoorpriyanka.in
Linux User Group, Ludhiana
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Re: [sage-support] Array and Loop in Sagetex
It looks like you want TeX to do the loop. Try the forloop package: http://www.ctan.org/tex-archive/macros/latex/contrib/forloop/ How to pass value of list in sageblock to variable used in \forloop -- Priyanka Kapoor http://kapoorpriyanka.in Linux User Group, Ludhiana -- 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: [sage-support] Array and Loop in Sagetex
How to pass value of list in sageblock to variable used in \forloop may be it can help http://mathematics.nsetzer.com/latex/latex_for_loop.html It just tell how to apply forloop. -- Priyanka Kapoor http://kapoorpriyanka.in Linux User Group, Ludhiana -- 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: [sage-support] Drawing Circle using simple equation of circle
You might want to use implicit_plot instead:
var('x,y')
b = x^2+y^2==4
c = implicit_plot(b,(x,-2,2),(y,-2,2),color='blue')
c.save('ram.png')
It gives the following error
TypeError: 'tuple' object is not callable
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Linux User Group, Ludhiana
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Re: [sage-support] Drawing Circle using simple equation of circle
Please note that I wrote b = x^2+y^2==4 I got a plot.thank you. Sir , can't we draw it using plot() function. -- Priyanka Kapoor http://kapoorpriyanka.in Linux User Group, Ludhiana -- 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] Array and Loop in Sagetex
I tried this plot using sage with Latex.
\documentclass{article}
\title{Curve Tracing by SAGE in \LaTeX}
\author{Priyanka Kapoor}
\usepackage{sagetex}
\begin{document}
\maketitle
Plot the curve for sin(X)
\begin{sageblock}
f(x) = sin(x)
\end{sageblock}
Here's a plot of $f$ from $-2$ to $2$:
\sageplot[width=10cm]{plot(f,(x, -2, 2),legend_label='sin(x)',aspect_ratio =1)}
\end{document}
How to use Array and Loop in this program around \sageplot portion.
I tried this:
\begin{sageblock}
v= [x^2, sin(x)]
\end{sageblock}
Here's a plot of $f$ from $-2$ to $2$:
for i in range(2):
\sageplot[width=10cm]{plot(v[i],(x,
-2,2),legend_label='sin(x)',aspect_ratio =1)}
\end{document}
It doesn't work :-( Where to apply loop then. In sageblock or in latex body?
please help.
--
Priyanka Kapoor
http://kapoorpriyanka.in
Linux User Group, Ludhiana
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Re: [sage-support] Re: %cython failing in notebook because of accessing the wrong directory
On Tue, Apr 3, 2012 at 1:31 AM, Maarten Derickx m.derickx.stud...@gmail.com wrote: In your setup everything worked ok. You just defined a function called hello. The function was never executed so you didn't see anything. To execute the function try the following: hello() Ok Considdering you are new with sage I suggest first learn how to use python (and don't use the %cython). Only after you are familiar with that it might be good to start learning cython. And then would only need it if you wrote some code that calls some fast functions in a smal for loop that is annoyingly slow. Thanks for guidance. I will definately follow. :-) -- Priyanka Kapoor http://kapoorpriyanka.in Linux User Group, Ludhiana -- 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: [sage-support] Re: %cython failing in notebook because of accessing the wrong directory
When I run code : %cython cdef hello(): print 'hello world!' I got two files , one is html file and another is C file. Html contents are: 1: 2: include interrupt.pxi # ctrl-c interrupt block support 3: include stdsage.pxi # ctrl-c interrupt block support 4: 5: include cdefs.pxi 6: cdef hello(): 7: print 'hello world!' I am new to sage. I dont know much about it. Can you clarify now? Whats the problem in actual? I also wish to know what is the problem and how the desired output hello world will come. -- Priyanka Kapoor http://kapoorpriyanka.in Linux User Group, Ludhiana -- 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] Display intermediate steps of a question in sagemath
Hello everyone,
I want a help from you all regarding sagemath. How to get full steps
solution to any problem in sage? Like I gave statement in sagemath:
sage: x= var('x')
sage: f = exp(x) * log(x)
sage: f.diff(x, 3)
O/P
e^x*log(x) + 3*e^x/x - 3*e^x/x^2 + 2*e^x/x^3
I want to display the intermediate steps also. Like firstly it give
step wise solution for derivative of order one then derivative of
order two and three. Please help.
Thanks in advance
--
Priyanka Kapoor
http://kapoorpriyanka.in
Linux User Group, Ludhiana
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