# Questions tagged [symbolic]

For questions about symbolic computation, as opposed to numerical computations.

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### Symbolic multiplication of tensors

I am trying to do symbolic calculations on Pauli Matrix Algebra. I want to find some way of making CircleTimes[a,b] ** CircleTimes[c,d] map to CircleTimes[a.c,b.d] for every a,b,c,d. I would also like ...
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### unexpected Transpose::tperm error [on hold]

I am trying to use Transpose on the two lists of same length: Mathematica code is ...
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### Can I extract symbolic expression of neural network loss function?

Once we create a neural network with NetChain in Mathematica, can we extract the loss function in the symbolic form for Mathematica to play with symbolic manipulations using Mathematica's built-in ...
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### Verify that a PDE is satisfied by a matrix consisting of functions satisfying a different PDE

My problem is as follows: I have two matrices $P$ and $Q$ which are made up of algebraic expressions of a function $q(x,t)$ which solves a somewhat complicated pde, and its derivatives, for example, ...
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### Symbolic Multivariate Distribution

If I try to input a symbolic multivariate distribution, I do not get a useful result. ...
164 views

I'm brand new to Mathematica. I am trying to solve a heat equation problem, but I keep getting back the input on the output line. The problem: Consider the equation $\qquad u_t = u_{xx} - 9 ... 0answers 32 views ### How to Simplify/Factorise symbolic non-commutative expressions? It always strikes me as odd, that Mathematica seems to have a hard time with non-communative multiplications. I can use the horrible TensorExpand (or more performant Distribute) to get ... 0answers 110 views ### Evaluate$\int_0^1 \frac{\log \left( 1+x^{2+\sqrt{3}}\right)}{1+x}\mathrm dx\$

Saw this post and noted that it was posted back in 2013. Just tried V11.3 and got no analytic solution. Just wondering if there is a way for Mathematica to give the desired result? Machine VS Human ...
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### Substitution of expressions using Groebner basis

I know this topic came up numerous times (most of the results are detailed in the comments of this link Is there a way to to substitute for symbols, simplify, and back-substitute?). However, I have ...
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### Definite Integration by parts

how do I code Integrate[u[x] D[v[x], x], {x, a, b}] to return the following straightforward undergraduate result? ...
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### Trying to apply Jensen's inequality to a complicated symbolic expression

I have a somewhat complicated inequality expression like this: ...
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### How to manipulate sequences of inequalities?

I am trying to write some symbolic inequality proofs in Mathematica. What would be a clean way to make the inference that a >= b and ...
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### Finding symbolic solution to constrained optimization question

The code below is my attempt to solve a constrained optimization problem: ...
1k views

### Vector calculus integration identity problem

This is a follow up from another post. I was using the integration symbols available in the Basic Math Assistant palette. I am new to vector calculus operations. There is a known identity found in ...
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### DSolve returns unevaluated

I am trying to find a solution to this system of differential equations but the program gives the same output without any messages. I would like help. Please find the Mathematica code posted here: <...
105 views

### Mathematica doesn't extract Re and Im parts properly

I have a code: ...