Mathematical vectors, operations on vectors and vectorized programming.
13
votes
2answers
756 views
How to represent and manipulate abstract indexed vector (or tensor) expressions?
I have a couple abstract indexed quantities, both differential elements
$dx = dx^\mu e_\mu + x^\mu de_\mu$
$du = du^\mu e_\mu + u^\mu de_\mu$
I can compute the expression $(dx + du) \cdot (dx + du) ...
27
votes
2answers
841 views
Animating a Voronoi Diagram
edit: Excellent answers have been provided and I made an animation which is suitable for my use, however, all the examples rely on bitmap/rasterized data; is there a vector based approach?
I would ...
12
votes
4answers
308 views
How do you decompose a polynomial matrix into its matrix coefficients?
Let's say I have a matrix, $\mathbf{M}$, that is polynomially dependent on a single variable, such as
M = {{15 + a^2, a + 5 a^2}, {a - 5 a^2, 2}}
and I want to ...
14
votes
6answers
887 views
Why can't I define vector v as having subscripted elements v_1, v_2, v_3…?
I'm a very beginner in Mathematica 8 programming. While trying to play a little with tensor analysis I encountered a problem. How to define for example vector in such manner:
v={$v_1,v_2,v_3$}
For ...
4
votes
5answers
446 views
Vectors with a certain magnitude in Mathematica
For a user specified magnitude, is there a way to have Mathematica produce any 3D vector that fits that magnitude?
6
votes
2answers
303 views
How do I simplify a vector expression?
I am doing vector analysis. I have figured out that the following expression won't be simplified in Mathematica:
Simplify[Dot[x, y] - Dot[y, x]]
I think the ...
2
votes
2answers
147 views
How to expand a general expression in cross and dot product in Mathematica
I am looking for a way to simply the general expression in cross product and dot product with general vectors. I got a help in How do I simplify a vector expression? but soon I find that it doesn't ...
3
votes
3answers
167 views
How to pull scalars out of a function that should act on lists?
Suppose I have
A = a vecA
B = b vecB
where a and b are supposed to be arbitrary scalars ...
1
vote
2answers
178 views
Symbolically associate vectors and their norms
I am wondering how to handle the following situation: I do have vectors of known dimension that I would like to handle symbolically. I suppose I can do something like
...
-1
votes
0answers
49 views
Doing vector manipulations in Mathematica (Part 2) [closed]
Inspired by the answer from Simon Woods, here, Doing vector manipulations on Mathematica, I thought of doing the intended vector manipulation in the following way but it didn't work!
...
