Class MyMath`Abstract`

Reimplementation of the built-in Math object

Index

Methods

Auxiliary Methods

sum product factorial lim

Methods

`Static`abs

abs(x): number
Absolute value

$$|x| ≝ \begin{cases} -x, & \text{if } x < 0 \\ x, & \text{otherwise} \end{cases}$$
Parameters
- x: number
Returns number
- Defined in MyMath.ts:14

`Static`exp

exp(x): number
Exponential function

$$\exp(x) ≝ \sum_{n = 0}^\infty \frac{x^n}{n!}$$
Parameters
- x: number
Returns number
- Defined in MyMath.ts:23

Auxiliary Methods

`Static`sum

sum(f, m, n): number
Summation

$$\begin{align} \sum_{i = m}^n f(i) &≝ f(m) + f(m + 1) + \cdots + f(n) \\ \sum_{i = m}^\infty f(i) &≝ \lim_{n \to \infty} \sum_{i = m}^n f(i) \end{align}$$
Parameters
- f: ((i: number) => number)
  - - (i): number
    - Parameters
      i: number
      Returns number
- m: number
- n: number
Returns number
- Defined in MyMath.ts:37

`Static`product

product(f, m, n): number
Product

$$\begin{align} \prod_{i = m}^n f(i) &≝ f(m) f(m + 1) \cdots f(n) \\ \prod_{i = m}^\infty f(i) &≝ \lim_{n \to \infty} \prod_{i = m}^n f(i) \end{align}$$
Parameters
- f: ((i: number) => number)
  - - (i): number
    - Parameters
      i: number
      Returns number
- m: number
- n: number
Returns number
- Defined in MyMath.ts:63

`Static`factorial

factorial(n): number
Factorial

$$n! ≝ \prod_{i = 1}^n i$$
Parameters
- n: number
Returns number
- Defined in MyMath.ts:86

`Static`lim

lim(f): number
Limit

$$\lim_{n \to \infty} f(n)$$
Parameters
- f: ((n: number) => number)
  - - (n): number
    - Parameters
      n: number
      Returns number
Returns number
- Defined in MyMath.ts:97