Parsing algebraic expressions is always a pain. If you need to compute, say, 2+4*2, the answer should be the same as (2 + (4 *2)), not ((2 + 4) * 2) — in other words, the right answer is 10, not 12.

A mathematical proof is a sequence of statements that follow on logically from each other that shows that something is always true. Using letters to stand for numbers means that we can make statements ...

In algebra, letters are used when numbers are not known. Algebraic terms, such as \(2s\) or \(8y\), leave the multiplication signs out. So rather than \(2 \times s\), write \(2s\), and rather than \(8 ...

One or more characters or symbols associated with algebra; for example, A+B=C or A/B. THIS DEFINITION IS FOR PERSONAL USE ONLY. All other reproduction requires permission.

Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...