The math Lambda is a global Lambda containing a number of mathematical constants and functions useful in machine learning and numeric programming. This Lambda supports a library of basic vector and matrix mathematical functions, including vector product, vector dot product, multiple linear regression, matrix inversion, support vector machines, evolutionary regression, symbolic math, and many more.
Some of the mathematical constants and functions contained in the math Lambda runtime environment are as follows:
| math | Lambda | Mathematical constants and functions used in machine learning |
|---|---|---|
| math.E | Constant | Base of natural logarithms (2.718...) |
| math.LN2 | Constant | Natural logarithm of 2 (0.693...) |
| math.LN10 | Constant | Natural logarithm of 10 (2.302...) |
| math.LOG2E | Constant | Base 2 logarithm of e (1.442...) |
| math.LOG10E | Constant | Base 10 logarithm of e (0.434...) |
| math.PI | Constant | Ratio of circumference to diameter (3.141...) |
| math.SQRT1_2 | Constant | Square root of one half (0.707...) |
| math.SQRT2 | Constant | Square root of two (1.414...) |
| math.exp(x) | Function | Returns E raised to the power of a single argument. |
| math.floor(x) | Function | Rounds down to next integer for one argument. |
| math.log(x) | Function | Returns the natural logarithm for one argument. |
| math.max(x,y) | Function | Returns the maximum of two arguments. |
| math.min(x,y) | Function | Returns the minimum of two arguments. |
| math.pow(x,p) | Function | Returns x raised to the power of p. |
| math.random(x) | Function | Returns a random number between zero and one. |
| math.round(x) | Function | Rounds to the closest integer. |
| math.sin(x) | Function | Returns sine of a single argument. |
| math.sqrt(x) | Function | Returns square root of a single argument. |
| math.tan(x) | Function | Returns tangent of a single argument. |
| between(target,low,high) | Global Function | Returns true if target is between low and high. |
| BIGNEGNUM | Global Constant | Largest possible negative number. |
| BIGPOSNUM | Global Constant | Largest possible positive number. |
| numCheck(x) | Global Macro | Returns true if x is a valid number. |