# Questions tagged [algebra]

Abstract manipulation of symbols. Transforming an algebraic expression into the desired form.

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### 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, ...
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### If x^x^x=y^y, express y in terms of x [closed]

This question is one of my friend think out suddenly and asked me how to do, but I have no idea how to do it, anyone have ideas? (even my friend don't know how to do it, he just think up the question) ...
429 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 ...
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### Solve[] isn't producing a correct result

I want to find the exact algebraic roots of the following function in terms of Z, P, Q, <...
1 vote
56 views

### How do I efficiently define rules for non-commutative algebras, (like differential forms)?

Defining rules seems to be quite troublesome, because whatever rule I make has to have the exact syntax ordering of the expression I want to modify. For example, take this differential form ...
1 vote
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### How to understand the very long confusing output of a command?

I have a complicated expression with many parameters ...