Questions tagged [algebraic-manipulation]
The art of manipulating an algebraic expression into the desired form.
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How do we simplify the inequality 'Q3' at the bottom of this post?
Question: At the end of the post, how do we simplify all cases of Q3[r,1,2] and combine them into one expression?
I provided working examples at the end of this ...
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Finding real solutions for a constrained complex matrix system
The first part of this question has been answered here. However, now I have 4 additional constraints that I tried to include, but could not find a solution so far. Any help would be greatly ...
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How do we change the five sign functions, in each criteria of the final code, to get what I want? [closed]
Suppose, we have the following code (i.e., f[r] and g[r] can be any function, where ...
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Creation & Annihilation Operators with Non-Commutative Algebra Mathematica 14.3
I want to work with (mostly expand/simplify) expressions involving some creation & annihilation operators.
Mathematica 14.3 now has the NonCommutativeAlgebra[] function which seems like it could ...
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How do I improve simplification for expressions with poles and cancellable square roots?
The responses to my previous question "Are there any tips/tricks to improve simplification..." were very helpful, but as I move forward in the same personal project mentioned in that ...
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Are there any tips/tricks to improve simplification of this flavor of expression?
I've been using Wolfram Engine 14.3 for a personal project, and a common problem I've encountered is that its outputs — even after using Simplify[], ...
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Moving expressions to the left hand side
Originally, I would have liked to teach the Mathematica engine how to solve certain expressions, but seeing the engine doesn't work like that, I figure I'll just functionalize the expression ...
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How do I define custom commutation relations for canonical simplification using `NonCommutativeGroebnerBasis` in 14.3?
With the release of Wolfram Language 14.3, there is now built-in support for non-commutative Groebner bases via functions like NonCommutativeGroebnerBasis, ...
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How do not modify exponents in the interval (0,1)?
Mathematica probably considers the expression 6*2^(3/4)*3^(1/8) to be simpler than 2^(7/4)*3^(9/8)
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Reproducing a known Fourier transform
I am trying to reproduce a well known Fourier transform result from a paper, and the paper cites the result from a table of integrals in a big book that lists known results.
This is how the paper ...
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Factor out specific term
I want to transform expr by factoring out only the E^(-t γ) term. I could implement it like in my code below, but is there a ...
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Gathering terms by same subscript
Is there a nice way to group the terms in equation 1 like in equation 2, where the terms with subscript 1 are put on the left-hand side and the terms with subscript 2 on the right-hand side.
Equation ...
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Avoid MonomialList applying N to coefficients containing floats
For inexact coefficients MonomialList seems to apply N.
How to avoid this?
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Factor polynomial with generalized root extension
Here are two examples with ordinary extensions:
Factor[1 + x^4, Extension -> Sqrt[2]]
Factor[x^2 + 2 Sqrt[3] x + 3, Extension -> Automatic]
But what about &...
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Collect coefficient of sum of terms in Mathematica
Using Mathematica, I want to collect the coefficient of $(\epsilon_1 + \epsilon_1^*)$ in a simple algebraic equation below. Mathematica gives ZERO as the answer, which is not correct.
The expected ...
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