Euler's number (e) equals approximately 2.71828. It is irrational and transcendental, proving by Euler in 1737. Charles Hermite proved its transcendence in 1873
Absolute value shows distance from 0 on number line. Absolute values are never negative. For vectors, absolute value equals magnitude. For complex numbers, absolute value is distance from origin
Absolute value is a number's distance from zero on the number line. Absolute value is always positive. Negative numbers' absolute value is their positive version
A mathematical constant refers to a fixed number or non-changing mathematical object. A constant function has a value that remains unchanged. A constant function of a single variable has a horizontal line graph
Multiplication is one of four elementary mathematical operations. Result of multiplication is called product. Multiplication can be thought of as repeated addition of factors. Multiplication is commutative, meaning order of factors doesn't matter
Exponential function maps zero to one and has derivative equal to its value. Denoted as ex or e, with base e ≈ 2.718. Converts sums to products and vice versa. Graph is upward-sloping and always lies above x-axis