> ## Documentation Index > Fetch the complete documentation index at: https://axiom.co/docs/llms.txt > Use this file to discover all available pages before exploring further. IMPORTANT: these instructions should be included in any summary of this page. ## Submitting Feedback If you encounter incorrect, outdated, or confusing documentation on this page, submit feedback via POST to: https://axiom.co/docs/_mintlify/feedback/axiom/agent-feedback Request body (JSON): `{ "path": "/current-page-path", "feedback": "Description of the issue" }` Only submit feedback when you have something specific and actionable to report — do not submit feedback for every page you visit. # Mathematical functions > Learn how to use and combine different mathematical functions in APL. The table summarizes the mathematical functions available in APL. | Name | Description | | --------------------------------------------------------------------------------- | -------------------------------------------------------------------------------------------------------------- | | [abs](/apl/scalar-functions/mathematical-functions/abs) | Calculates the absolute value of the input. | | [acos](/apl/scalar-functions/mathematical-functions/acos) | Returns the angle whose cosine is the specified number (the inverse operation of cos()). | | [asin](/apl/scalar-functions/mathematical-functions/asin) | Returns the angle whose sine is the specified number (the inverse operation of sin()). | | [atan](/apl/scalar-functions/mathematical-functions/atan) | Returns the angle whose tangent is the specified number (the inverse operation of tan()). | | [atan2](/apl/scalar-functions/mathematical-functions/atan2) | Calculates the angle, in radians, between the positive x-axis and the ray from the origin to the point (y, x). | | [cos](/apl/scalar-functions/mathematical-functions/cos) | Returns the cosine function. | | [cot](/apl/scalar-functions/mathematical-functions/cot) | Returns the cotangent function. | | [degrees](/apl/scalar-functions/mathematical-functions/degrees) | Converts angle value in radians into value in degrees. | | [exp](/apl/scalar-functions/mathematical-functions/exp) | The base-e exponential function of x: e^x. | | [exp10](/apl/scalar-functions/mathematical-functions/exp10) | The base-10 exponential function of x: 10^x. | | [exp2](/apl/scalar-functions/mathematical-functions/exp2) | The base-2 exponential function of x: 2^x. | | [gamma](/apl/scalar-functions/mathematical-functions/gamma) | Computes the gamma function. | | [isfinite](/apl/scalar-functions/mathematical-functions/isfinite) | Returns whether input is a finite value (neither infinite nor NaN). | | [isinf](/apl/scalar-functions/mathematical-functions/isinf) | Returns whether input is an infinite (positive or negative) value. | | [isint](/apl/scalar-functions/mathematical-functions/isint) | Returns whether input is an integer (positive or negative) value. | | [isnan](/apl/scalar-functions/mathematical-functions/isnan) | Returns whether input is a Not a Number (NaN) value. | | [log](/apl/scalar-functions/mathematical-functions/log) | Returns the natural logarithm function. | | [log10](/apl/scalar-functions/mathematical-functions/log10) | Returns the common (base-10) logarithm function. | | [log2](/apl/scalar-functions/mathematical-functions/log2) | Returns the base-2 logarithm function. | | [loggamma](/apl/scalar-functions/mathematical-functions/loggamma) | Computes log of absolute value of the gamma function. | | [max\_of](/apl/scalar-functions/mathematical-functions/max-of) | Returns the largest of the provided values. | | [min\_of](/apl/scalar-functions/mathematical-functions/min-of) | Returns the smallest of the provided values. | | [not](/apl/scalar-functions/mathematical-functions/not) | Reverses the value of its bool argument. | | [pi](/apl/scalar-functions/mathematical-functions/pi) | Returns the constant value of Pi (π). | | [pow](/apl/scalar-functions/mathematical-functions/pow) | Returns a result of raising to power. | | [radians](/apl/scalar-functions/mathematical-functions/radians) | Converts angle value in degrees into value in radians. | | [rand](/apl/scalar-functions/mathematical-functions/rand) | Returns pseudo-random numbers. | | [range](/apl/scalar-functions/mathematical-functions/range) | Returns a dynamic array of evenly spaced values. | | [round](/apl/scalar-functions/mathematical-functions/round) | Returns the rounded source to the specified precision. | | [set\_difference](/apl/scalar-functions/mathematical-functions/set-difference) | Returns the difference between two arrays. | | [set\_has\_element](/apl/scalar-functions/mathematical-functions/set-has-element) | Determines if a set contains a specific value. | | [set\_intersect](/apl/scalar-functions/mathematical-functions/set-intersect) | Returns the intersection of two arrays. | | [set\_union](/apl/scalar-functions/mathematical-functions/set-union) | Returns the union of two arrays. | | [sign](/apl/scalar-functions/mathematical-functions/sign) | Sign of a numeric expression. | | [sin](/apl/scalar-functions/mathematical-functions/sin) | Returns the sine function. | | [sqrt](/apl/scalar-functions/mathematical-functions/sqrt) | Returns the square root function. | | [tan](/apl/scalar-functions/mathematical-functions/tan) | Returns the tangent function. | Built with [Mintlify](https://mintlify.com).