# Questions tagged [algebraic-manipulation]

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

762 questions
Filter by
Sorted by
Tagged with
1 vote
53 views

### Coefficient of factors in fractional expression

Consider the following algebraic expression ...
• 155
1 vote
59 views

### Putting a polynomial into a multilinear form

Consider the polynomials in $x$ with positive-integer parameters $a,b,c$ ...
40 views

### Factoring Custom Tensor Products

I have now made a post on the Computer Science stack exchange that talks about the general problems from an algorithmnic perspective here. I have defined a custom tensor product function ...
• 101
45 views

### How to impose distributivity over custom tensor product

I have written a custom tensor-like product called "TProduct[a,b]" ...
• 101
38 views

### Simplifying fractional powers and collecting coefficient list from it

Problem I want to generalize a solution I already have for a simpler situation. In my case I need to collect coefficients from a variable assuming fractional powers and on. First I'll present some ...
• 175
72 views

### How to use Sum properly to avoid problems when the summating limits are undefined?

I'm struggling in the use of Sum. I want to define something like that: ...
• 175
82 views

### Is there an easy way to understand how to manipulate summations?

I'm working in a very very long calculation that could be done by hand but it might be tedious. Moreover, when doing by hand that amount of calculations I'm subject to errors, of course. Then I ...
• 175
169 views

### Converting an algebric expression into a matrix form

Consider the following expression: a1 b1 c1 + a4 b2 c1 + a7 b3 c1 + a2 b1 c2 + a5 b2 c2 + a8 b3 c2 + a3 b1 c3 + a6 b2 c3 + a9 b3 c3 Can Mathematica convert it ...
• 575
74 views

198 views

### How can I get stronger simplification than FullSimplify?

Short description: Is there a simplification that can for a>1 simplify ...
213 views

### Putting a term under the square root

I want to put a term under the square root (but with Mathematica), such that $$(1+t)^2\sqrt{1+\frac{t^3}{(1+t)^3}}$$ is transformed to $$\sqrt{(1+t)^4+(1+t)t^3}.$$ I've tried all the forms of ...
• 1,894
365 views

• 42.1k
89 views

### How to factorize $x+y$ in this kind of example?

Consider the following simple polynomial in two variables 5 + 2x + 2y. Suppose I want to simplify it to 5+2(x+y). I have no idea ...
• 553
345 views

### How to make ReplaceAll recognize what to be replaced in a situation like this?

I'm a bit confused on how ReplaceAll works. For example ReplaceAll[2x+2y, x+y -> 1] just gives ...
• 553
1 vote
93 views

### Output a 24 by 24 Leech lattice

Input a rank-8 $E_8$ lattice,  M_{E_8}=\begin{pmatrix} 2 & -1 & 0 & 0 & 0 & 0 & 0 & 0 \\ -1 & 2 & -1& 0 & 0 & 0 & 0 & 0 \\ 0 &...
• 251
51 views

### Transform a list of delayed rules with conditions to a new list of delayed rules

I have a list of rules that implement some abstract algebras, for instance, that of the Pauli matrices, ...
• 545
437 views

### Present a logarithm in terms of two logarithms

If $\log _8 3=p$ and $\log _3 5=q$ then, in terms of $p$ and $q$, what does $\log _{10} 5$ equal? I tried by my hand, I get the answer is $\dfrac{3pq}{1+3pq}$. How can I tell Mathematica solve ...
• 1,088
213 views

### How to Replace 'delta t' with 'a' in Mathematica Without Affecting Separate Instances of 'delta' or 't'?

In Mathematica, how can I replace instances of delta t in an expression with a, while keeping instances of ...
• 215
1 vote
165 views

### Converting expression to quadratic formula

I want to manipulate and represent the following expression in a more presentable way. ...
• 496
144 views

### Kernel Crash Using Solve

The following code crashes the Kernel with no error message. ...
• 1,627
52 views

### On MacOs, I cannot use Needs["QDENSITYQdensity"]

I am trying to get Needs["QDENSITYQdensity"] from (https://library.wolfram.com/infocenter/MathSource/5715/), however, it failed and I get this error: ...
340 views

### Most concise code for tangent and normal line of implicit algebraic curve

Can you make the code for tangent line and normal line of implicit algebraic curve cu more concise than mine? The code for tangent line at ...
• 20.9k
1 vote
132 views

### Selecting coefficients of multivariable polynomial

We have polynomial in three variables x, y, z. How to list all coefficients of odd powers of z or ...
• 20.9k
62 views

### Function to generate analytic solution of StandardDeviation of a list given sublists

Motivation I have the Mean and StandardDeviation of several lists of equal size but I don't know the elements of those lists. I ...
105 views

### Unexpected behavior of Exponent`

Fixed in Version 14.0 According to Exponent: Exponent[expr, form] gives the maximum power with which ...
• 505
78 views

• 113
1 vote