math/algebra
Algebra
Note: Most of the definitions and notation in the section are based on 1 or 2.
| Name | Symbol | Pos. Integers? | Pos. Rationals? | Rationals? | Reals (wrt Pos Int.)? | Complex? |
|---|---|---|---|---|---|---|
| addition | a + b | Y | Y | Y | Y | Y |
| product | a × b | Y | Y | Y | Y | Y |
| subtraction | a − b | N | N | Y | Y | Y |
| division | $\frac{a}{b}$ | N | Y | Y | Y | Y |
| power | ab | Y | Y | Y | Y | Y |
| root | $\sqrt{\text{a}}$ | N | N | N | Y | Y |
Definitions
- involution
- to raise a number to a given power
- evolution
- to take a given root of a number
- associative
- (a+b) + c = a + (b+c)
- commutative
- a + b = b + c
- distributive
- (a+b)c = ac + bc
