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16
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3answers
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How to symbolically do matrix “Block Inversion”?
Consider a block (partitioned) matrix
matrix = ArrayFlatten[{{a, b}, {c, d}}]
where, a, ...
3
votes
2answers
1k views
How to convert a system of parametric equations to a normal equation?
For example, I have a system of parametric equations (R is a constant number) :
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7
votes
2answers
473 views
How to invert an integral equation
There have been numerous times when I've needed to invert an integral equation, i.e. I have something like
$$f(x) = g_1(x)\int_{0}^x g_2(x') dx'$$
for arbitrary functions $g_1$ and $g_2$, and ...
7
votes
2answers
665 views
Inverse of a complicated function
Mathematica is struggling to find the inverse of this function f(r):
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3
votes
3answers
306 views
Changing variables algebraically
Suppose one has two functions, $y(x)$ and $z(x)$, and one seeks to obtain $y(z)$ by substituting $x(z)$ into $y(x)$. Can this be done in a single step? Or must $z(x)$ first be inverted independently? ...