diff --git a/lib/node_modules/@stdlib/math/base/special/acos/README.md b/lib/node_modules/@stdlib/math/base/special/acos/README.md index b78850f248e2..3df1f0d1c17b 100644 --- a/lib/node_modules/@stdlib/math/base/special/acos/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acos/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arccosine][arccosine] of a double-precision floating-point number. +
+ +The [arccosine][arccosine] function is defined as + + + +```math +y = \arccos(x), \quad y \in [0, \pi], \; x \in [-1, 1] +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/acosd/README.md b/lib/node_modules/@stdlib/math/base/special/acosd/README.md index 09bb113807e3..8efa40f7fe49 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosd/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acosd/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arccosine][arccosine] in degrees of a double-precision floating-point number. +
+ +The [arccosine][arccosine] in degrees is defined as + + + +```math +y = \frac{180}{\pi} \arccos(x) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/acosdf/README.md b/lib/node_modules/@stdlib/math/base/special/acosdf/README.md index ea80b19d9848..d20cc514ca96 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosdf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acosdf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arccosine][arccosine] (in degrees) of a single-precision floating-point number. +
+ +The [arccosine][arccosine] in degrees is defined as + + + +```math +y = \frac{180}{\pi} \arccos(x) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/README.md b/lib/node_modules/@stdlib/math/base/special/acosf/README.md index 0c735c88b975..2d91e50a5195 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acosf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arccosine][arccosine] of a single-precision floating-point number. +
+ +The [arccosine][arccosine] function is defined as + + + +```math +y = \arccos(x), \quad y \in [0, \pi], \; x \in [-1, 1] +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/acot/README.md b/lib/node_modules/@stdlib/math/base/special/acot/README.md index 52a407c9a3d1..2820f78f18f3 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acot/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [inverse cotangent][arccotangent] of a double-precision floating-point number. +
+ +The [arccotangent][arccotangent] is defined as + + + +```math +y = \mathop{\mathrm{arccot}}(x) = \arctan\left(\frac{1}{x}\right) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/acotd/README.md b/lib/node_modules/@stdlib/math/base/special/acotd/README.md index 4760db9ef127..d37e66c01090 100644 --- a/lib/node_modules/@stdlib/math/base/special/acotd/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acotd/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arccotangent][arccotangent] in degrees of a double-precision floating-point number. +
+ +The [arccotangent][arccotangent] in degrees is defined as + + + +```math +y = \frac{180}{\pi} \mathop{\mathrm{arccot}}(x) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/acotdf/README.md b/lib/node_modules/@stdlib/math/base/special/acotdf/README.md index 2f76954bfb03..9fcb6bacebfe 100644 --- a/lib/node_modules/@stdlib/math/base/special/acotdf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acotdf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arccotangent][arccotangent] in degrees of a single-precision floating-point number. +
+ +The [arccotangent][arccotangent] in degrees is defined as + + + +```math +y = \frac{180}{\pi} \mathop{\mathrm{arccot}}(x) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/acotf/README.md b/lib/node_modules/@stdlib/math/base/special/acotf/README.md index 7c7ff1890c79..0416a4e6479c 100644 --- a/lib/node_modules/@stdlib/math/base/special/acotf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acotf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [inverse cotangent][arccotangent] of a single-precision floating-point number. +
+ +The [arccotangent][arccotangent] is defined as + + + +```math +y = \mathop{\mathrm{arccot}}(x) = \arctan\left(\frac{1}{x}\right) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/acsc/README.md b/lib/node_modules/@stdlib/math/base/special/acsc/README.md index 18ca393d4157..fd52630d6a23 100644 --- a/lib/node_modules/@stdlib/math/base/special/acsc/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acsc/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arccosecant][arccosecant] of a number. +
+ +The [arccosecant][arccosecant] is defined as + + + +```math +y = \mathop{\mathrm{arccsc}}(x) = \arcsin\left(\frac{1}{x}\right) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/acscd/README.md b/lib/node_modules/@stdlib/math/base/special/acscd/README.md index a53d6e45eb61..c132b99e9201 100644 --- a/lib/node_modules/@stdlib/math/base/special/acscd/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acscd/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arccosecant][arccosecant] in degrees of a double-precision floating-point number. +
+ +The [arccosecant][arccosecant] in degrees is defined as + + + +```math +y = \frac{180}{\pi} \mathop{\mathrm{arccsc}}(x) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/acscdf/README.md b/lib/node_modules/@stdlib/math/base/special/acscdf/README.md index 5b68f06979ff..a41748a9e577 100644 --- a/lib/node_modules/@stdlib/math/base/special/acscdf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acscdf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arccosecant][arccosecant] (in degrees) of a single-precision floating-point number. +
+ +The [arccosecant][arccosecant] in degrees is defined as + + + +```math +y = \frac{180}{\pi} \mathop{\mathrm{arccsc}}(x) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/acscf/README.md b/lib/node_modules/@stdlib/math/base/special/acscf/README.md index 5ca68150bcc8..c6100d18d3af 100644 --- a/lib/node_modules/@stdlib/math/base/special/acscf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acscf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arccosecant][arccosecant] of a single-precision floating-point number. +
+ +The [arccosecant][arccosecant] is defined as + + + +```math +y = \mathop{\mathrm{arccsc}}(x) = \arcsin\left(\frac{1}{x}\right) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/asec/README.md b/lib/node_modules/@stdlib/math/base/special/asec/README.md index 9be0e8129d95..bf09e4712469 100644 --- a/lib/node_modules/@stdlib/math/base/special/asec/README.md +++ b/lib/node_modules/@stdlib/math/base/special/asec/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [inverse (arc) secant][arcsecant] of a number. +
+ +The [arcsecant][arcsecant] is defined as + + + +```math +y = \mathop{\mathrm{arcsec}}(x) = \arccos\left(\frac{1}{x}\right) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/asecd/README.md b/lib/node_modules/@stdlib/math/base/special/asecd/README.md index e2b363461c46..75d9ceb528b5 100644 --- a/lib/node_modules/@stdlib/math/base/special/asecd/README.md +++ b/lib/node_modules/@stdlib/math/base/special/asecd/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arcsecant][arcsecant] (in degrees) of a double-precision floating-point number. +
+ +The [arcsecant][arcsecant] in degrees is defined as + + + +```math +y = \frac{180}{\pi} \mathop{\mathrm{arcsec}}(x) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/asecdf/README.md b/lib/node_modules/@stdlib/math/base/special/asecdf/README.md index 6b7803f5db52..d6422b7a3b67 100644 --- a/lib/node_modules/@stdlib/math/base/special/asecdf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/asecdf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arcsecant][arcsecant] (in degrees) of a single-precision floating-point number. +
+ +The [arcsecant][arcsecant] in degrees is defined as + + + +```math +y = \frac{180}{\pi} \mathop{\mathrm{arcsec}}(x) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/asecf/README.md b/lib/node_modules/@stdlib/math/base/special/asecf/README.md index 6c78be61e9d9..42f9f6bb668e 100644 --- a/lib/node_modules/@stdlib/math/base/special/asecf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/asecf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [inverse (arc) secant][arcsecant] of a single-precision floating-point number. +
+ +The [arcsecant][arcsecant] is defined as + + + +```math +y = \mathop{\mathrm{arcsec}}(x) = \arccos\left(\frac{1}{x}\right) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/asin/README.md b/lib/node_modules/@stdlib/math/base/special/asin/README.md index 952bbb90a81b..8f83f3234a28 100644 --- a/lib/node_modules/@stdlib/math/base/special/asin/README.md +++ b/lib/node_modules/@stdlib/math/base/special/asin/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arcsine][arcsine] of a double-precision floating-point number. +
+ +The [arcsine][arcsine] function is defined as + + + +```math +y = \arcsin(x), \quad y \in \left[-\tfrac{\pi}{2}, \tfrac{\pi}{2}\right], \; x \in [-1, 1] +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/asind/README.md b/lib/node_modules/@stdlib/math/base/special/asind/README.md index d25f2cbdabab..53e4dfa3e6e5 100644 --- a/lib/node_modules/@stdlib/math/base/special/asind/README.md +++ b/lib/node_modules/@stdlib/math/base/special/asind/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arcsine][arcsine] (in degrees) of a double-precision floating-point number. +
+ +The [arcsine][arcsine] in degrees is defined as + + + +```math +y = \frac{180}{\pi} \arcsin(x) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/asindf/README.md b/lib/node_modules/@stdlib/math/base/special/asindf/README.md index 01a4c64e3a1a..5c9ab53786b7 100644 --- a/lib/node_modules/@stdlib/math/base/special/asindf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/asindf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arcsine][arcsine] (in degrees) of a single-precision floating-point number. +
+ +The [arcsine][arcsine] in degrees is defined as + + + +```math +y = \frac{180}{\pi} \arcsin(x) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/asinf/README.md b/lib/node_modules/@stdlib/math/base/special/asinf/README.md index 9697169acc38..0651d0377170 100644 --- a/lib/node_modules/@stdlib/math/base/special/asinf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/asinf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arcsine][arcsine] of a single-precision floating-point number. +
+ +The [arcsine][arcsine] function is defined as + + + +```math +y = \arcsin(x), \quad y \in \left[-\tfrac{\pi}{2}, \tfrac{\pi}{2}\right], \; x \in [-1, 1] +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/atan/README.md b/lib/node_modules/@stdlib/math/base/special/atan/README.md index 3111d699ea7b..649709385f02 100644 --- a/lib/node_modules/@stdlib/math/base/special/atan/README.md +++ b/lib/node_modules/@stdlib/math/base/special/atan/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arctangent][arctangent] of a double-precision floating-point number. +
+ +The [arctangent][arctangent] function is defined as + + + +```math +y = \arctan(x), \quad y \in \left(-\tfrac{\pi}{2}, \tfrac{\pi}{2}\right) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/atand/README.md b/lib/node_modules/@stdlib/math/base/special/atand/README.md index d3ef5c9dbe80..1cf65337f70c 100644 --- a/lib/node_modules/@stdlib/math/base/special/atand/README.md +++ b/lib/node_modules/@stdlib/math/base/special/atand/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arctangent][arctangent] in degrees of a double-precision floating-point number. +
+ +The [arctangent][arctangent] in degrees is defined as + + + +```math +y = \frac{180}{\pi} \arctan(x) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/atandf/README.md b/lib/node_modules/@stdlib/math/base/special/atandf/README.md index c6c4c0cd01b1..f7cd20d8d81e 100644 --- a/lib/node_modules/@stdlib/math/base/special/atandf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/atandf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arctangent][arctangent] (in degrees) of a single-precision floating-point number. +
+ +The [arctangent][arctangent] in degrees is defined as + + + +```math +y = \frac{180}{\pi} \arctan(x) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/atanf/README.md b/lib/node_modules/@stdlib/math/base/special/atanf/README.md index 72513d7894bb..fe5ab50d5de1 100644 --- a/lib/node_modules/@stdlib/math/base/special/atanf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/atanf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [arctangent][arctangent] of a single-precision floating-point number. +
+ +The [arctangent][arctangent] function is defined as + + + +```math +y = \arctan(x), \quad y \in \left(-\tfrac{\pi}{2}, \tfrac{\pi}{2}\right) +``` + + + +
+ + +
## Usage