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The art of manipulating an algebraic expression into the desired form.

5 votes
3 answers
404 views

Selecting parts of algebraic expressions?

(a1 q1^2 + b1 p1^2 + c1 q1 + d1 p1 + e1) E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2) Is there a command to select factor polynomial (a1 q1^2 + b1 p1^2 + +c1 q1 + d1 p1 + e1) and exponent of E (a …
Mark Robinson's user avatar
1 vote
3 answers
132 views

Command for approximating a function in variable limit?

The function $ f(T) = 1/T^2 Exp(1/T) [Exp(1/T) + 1]^{-2} $ in low $T$ limit is $ f(T)=Exp(-1/T)$ and in high $T$ limit $(T)=1/T^2$. Is there a command in mathematica to find the the function in lo …
Mark Robinson's user avatar
1 vote
1 answer
104 views

List from algebraic expression?

Consider an algebraic expression exp = a x^2 -b x +c I want to create a list from its element: list = {a x^2, -b x, c} Is there any inbuilt command in Mathematica for this? If not, is there an …
Mark Robinson's user avatar
2 votes
5 answers
475 views

Reconstructing a polynomial from its coefficient array

A polynomial coefficient matrix: mat = CoefficientList[3 + 5 x^3 + 4 y^3 + 2 x + 6 x^2 y + 7 x y^2 + 8 x y, {x, y}]; \begin{equation} \left( \begin{array}{cccc} 3 & 0 & 0 & 4 \\ 2 & 8 & 7 & …
Mark Robinson's user avatar