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8 votes

Why doesn't Mathematica simplify the expression under square root?

The trouble is that the default ComplexityFunction returns 10 for both ...
Michael E2's user avatar
  • 236k
8 votes

Why is Mathematica not simplifying eigenvalues?

The trick is to move the exp inside the sqrt and use the double angle trig rule. A = {{x*Exp[I*y], z}, {z, x*Exp[(-I)*y]}} {v1, v2} = Eigenvalues[A] ...
Nasser's user avatar
  • 144k
6 votes

Mathematica failing to evaluate sum

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Bob Hanlon's user avatar
  • 159k
6 votes
Accepted

What's the reverse operation of TransferFunctionExpand?

I agree with @Nasser's comment. If you are starting with the model expression however, then Apart can be used as follows: ...
Syed's user avatar
  • 54.5k
5 votes

Is there a way in Mathematica to simplify expressions based on inexact assumptions?

Simply expand your expression around $d = 0$ with Series. ...
Domen's user avatar
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5 votes

Why is Mathematica not simplifying eigenvalues?

Eigenvalues[{{x*Exp[I*y], z}, {z, x*Exp[(-I)*y]}} // ComplexExpand]//FullSimplify ...
user64494's user avatar
  • 26.4k
4 votes

Is it possible to express $\text{Li}_2(-\frac18(-i+\sqrt{15})+\text{Li}_2(\frac18 (i+\sqrt{15})$ as an explicit real expression (not numeric)?

The expression can be expressed as infinite sum. All the sums are pretty much the same only in different form and all produce the same terms/summands. ...
azerbajdzan's user avatar
  • 17.5k
3 votes

Is there a way in Mathematica to simplify expressions based on inexact assumptions?

Try Asymptotics and substitution d->eps L ...
Ulrich Neumann's user avatar
3 votes

What to do when FullSimplify runs out of memory?

General thoughts on simplifying very large expressions. Obviously, these are not applicable in all cases. Simplify the parts before assembling the large expression. Identify common subexpressions. ...
mikado's user avatar
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3 votes
Accepted

Finding $\frac{\cos(b)}{\cos(a)}$ given $\cos(x) e^{i y} = \frac{\sin(a)}{\sin(a+b)}$ and $-i \sin(x) e^{i y} = \frac{\sin(b)}{\sin(a+b)}$

Expand differences as exponentials and set numerators to zeros ...
Roland F's user avatar
  • 3,637
2 votes

Create a new table by deleting some similar rows, provided that their outputs are collected

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Syed's user avatar
  • 54.5k
2 votes

Create a new table by deleting some similar rows, provided that their outputs are collected

list = {{L1, L2, LL}, {0, 0, 0}, {1, 0, 1/2}, {0, 1, 0}, {1, 1, 1/2}, {1, 0, 0}, {2, 0, 1}, {1, 1, 1/2}, {2, 1, 1}}; Using ...
eldo's user avatar
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2 votes

Finding $\frac{\cos(b)}{\cos(a)}$ given $\cos(x) e^{i y} = \frac{\sin(a)}{\sin(a+b)}$ and $-i \sin(x) e^{i y} = \frac{\sin(b)}{\sin(a+b)}$

I'd tackle this as an algebraic elimination problem, making polynomials from the trigs. It simplifies if we first rewrite the left-hand-sides (in the x-y variables) as two different algebraic ...
Daniel Lichtblau's user avatar
2 votes

Simplifying expression efficiently

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Bob Hanlon's user avatar
  • 159k
2 votes

Why doesn't Mathematica simplify the expression under square root?

r1 = x^2 - y^2 -> u^2; b = {{x, -y}, {y, -x}}; matF = FullSimplify[MatrixExp[(-I)*b*z]] // Together // Simplify matF /. r1 // PowerExpand $\left( \begin{array}...
Syed's user avatar
  • 54.5k
2 votes

Issue with FullSimplify in StirlingS2 definition

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Bob Hanlon's user avatar
  • 159k
2 votes
Accepted

Order of the output with simplification

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Bob Hanlon's user avatar
  • 159k
2 votes

FullSimplify not working as desired in Mathematica 11.3

Its always an adventure to steer Simplify with rationals of irrationals, because the process ist controlled by counting the leafs of the tree. By look and try you get ...
Roland F's user avatar
  • 3,637
1 vote
Accepted

Compute curvature tensor constructed by a shifted connection

A previous answer I wrote fully missed the point. It helped to see the code in Wolfram Community. The problem is that in the call ...
jose's user avatar
  • 6,383
1 vote
Accepted

Laplace Transform and Different Results

You see that f1 and f3 are equivalent. f1,f2 and ...
azerbajdzan's user avatar
  • 17.5k
1 vote
Accepted

Symbolic calculations with operator ordering

As there is no multiplication of operators in these equations, there is no problem of commutation. The "*" is an ordinary multiplication relative to a scalar. Therefore you may write: ...
Daniel Huber's user avatar
1 vote
Accepted

Problem calculating mean of probability distribution

Using: $$\mathcal{S}_{x-1}^{(n-1)}=\frac{\sum _{j=0}^{n-1} (-1)^{j+n-1} \binom{n-1}{j} j^{x-1}}{(n-1)!}$$ we have: ...
Mariusz Iwaniuk's user avatar
1 vote

Simplifying expression efficiently

To address your specific question, let us start with your expression term, as you introduced it. By making this: ...
Alexei Boulbitch's user avatar
1 vote

What to do when FullSimplify runs out of memory?

In the Wolfram Language, FullSimplify is a powerful function used to simplify complex expressions, but it may encounter difficulties in simplifying expressions ...
Steffen Jaeschke's user avatar
1 vote

Why is Mathematica not simplifying eigenvalues?

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Bob Hanlon's user avatar
  • 159k
1 vote

Sort Column as a Row

a = {1, 2, 3, 10}; b = {2, 3, 4, 8}; A few more possibilities Pre-define c for better readability ...
eldo's user avatar
  • 70.7k
1 vote

Sort Column as a Row

Alternatively, using Do (but, as others have pointed out, not really 'the Mathematica way') ...
user1066's user avatar
  • 18.4k

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