kgryte · Aug 27, 2026 · Aug 27, 2026
diff --git 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.
 
+<section class="intro">
+
+The [arccosine][arccosine] function is defined as
+
+<!-- <equation class="equation" label="eq:arccosine_function" align="center" raw="y = \arccos(x), \quad y \in [0, \pi], \; x \in [-1, 1]" alt="Arccosine function definition with range and domain"> -->
+
+```math
+y = \arccos(x), \quad y \in [0, \pi], \; x \in [-1, 1]
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [arccosine][arccosine] in degrees of a double-precision floating-point number.
 
+<section class="intro">
+
+The [arccosine][arccosine] in degrees is defined as
+
+<!-- <equation class="equation" label="eq:arccosine_degrees" align="center" raw="y = \frac{180}{\pi} \arccos(x)" alt="Arccosine in degrees"> -->
+
+```math
+y = \frac{180}{\pi} \arccos(x)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [arccosine][arccosine] (in degrees) of a single-precision floating-point number.
 
+<section class="intro">
+
+The [arccosine][arccosine] in degrees is defined as
+
+<!-- <equation class="equation" label="eq:arccosine_degrees" align="center" raw="y = \frac{180}{\pi} \arccos(x)" alt="Arccosine in degrees"> -->
+
+```math
+y = \frac{180}{\pi} \arccos(x)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [arccosine][arccosine] of a single-precision floating-point number.
 
+<section class="intro">
+
+The [arccosine][arccosine] function is defined as
+
+<!-- <equation class="equation" label="eq:arccosine_function" align="center" raw="y = \arccos(x), \quad y \in [0, \pi], \; x \in [-1, 1]" alt="Arccosine function definition with range and domain"> -->
+
+```math
+y = \arccos(x), \quad y \in [0, \pi], \; x \in [-1, 1]
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [inverse cotangent][arccotangent] of a double-precision floating-point number.
 
+<section class="intro">
+
+The [arccotangent][arccotangent] is defined as
+
+<!-- <equation class="equation" label="eq:arccotangent_function" align="center" raw="y = \operatorname{arccot}(x) = \arctan\left(\frac{1}{x}\right)" alt="Arccotangent function"> -->
+
+```math
+y = \mathop{\mathrm{arccot}}(x) = \arctan\left(\frac{1}{x}\right)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [arccotangent][arccotangent] in degrees of a double-precision floating-point number.
 
+<section class="intro">
+
+The [arccotangent][arccotangent] in degrees is defined as
+
+<!-- <equation class="equation" label="eq:arccotangent_degrees" align="center" raw="y = \frac{180}{\pi} \operatorname{arccot}(x)" alt="Arccotangent in degrees"> -->
+
+```math
+y = \frac{180}{\pi} \mathop{\mathrm{arccot}}(x)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [arccotangent][arccotangent] in degrees of a single-precision floating-point number.
 
+<section class="intro">
+
+The [arccotangent][arccotangent] in degrees is defined as
+
+<!-- <equation class="equation" label="eq:arccotangent_degrees" align="center" raw="y = \frac{180}{\pi} \operatorname{arccot}(x)" alt="Arccotangent in degrees"> -->
+
+```math
+y = \frac{180}{\pi} \mathop{\mathrm{arccot}}(x)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [inverse cotangent][arccotangent] of a single-precision floating-point number.
 
+<section class="intro">
+
+The [arccotangent][arccotangent] is defined as
+
+<!-- <equation class="equation" label="eq:arccotangent_function" align="center" raw="y = \operatorname{arccot}(x) = \arctan\left(\frac{1}{x}\right)" alt="Arccotangent function"> -->
+
+```math
+y = \mathop{\mathrm{arccot}}(x) = \arctan\left(\frac{1}{x}\right)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [arccosecant][arccosecant] of a number.
 
+<section class="intro">
+
+The [arccosecant][arccosecant] is defined as
+
+<!-- <equation class="equation" label="eq:arccosecant_function" align="center" raw="y = \operatorname{arccsc}(x) = \arcsin\left(\frac{1}{x}\right)" alt="Arccosecant function"> -->
+
+```math
+y = \mathop{\mathrm{arccsc}}(x) = \arcsin\left(\frac{1}{x}\right)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [arccosecant][arccosecant] in degrees of a double-precision floating-point number.
 
+<section class="intro">
+
+The [arccosecant][arccosecant] in degrees is defined as
+
+<!-- <equation class="equation" label="eq:arccosecant_degrees" align="center" raw="y = \frac{180}{\pi} \operatorname{arccsc}(x)" alt="Arccosecant in degrees"> -->
+
+```math
+y = \frac{180}{\pi} \mathop{\mathrm{arccsc}}(x)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [arccosecant][arccosecant] (in degrees) of a single-precision floating-point number.
 
+<section class="intro">
+
+The [arccosecant][arccosecant] in degrees is defined as
+
+<!-- <equation class="equation" label="eq:arccosecant_degrees" align="center" raw="y = \frac{180}{\pi} \operatorname{arccsc}(x)" alt="Arccosecant in degrees"> -->
+
+```math
+y = \frac{180}{\pi} \mathop{\mathrm{arccsc}}(x)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [arccosecant][arccosecant] of a single-precision floating-point number.
 
+<section class="intro">
+
+The [arccosecant][arccosecant] is defined as
+
+<!-- <equation class="equation" label="eq:arccosecant_function" align="center" raw="y = \operatorname{arccsc}(x) = \arcsin\left(\frac{1}{x}\right)" alt="Arccosecant function"> -->
+
+```math
+y = \mathop{\mathrm{arccsc}}(x) = \arcsin\left(\frac{1}{x}\right)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [inverse (arc) secant][arcsecant] of a number.
 
+<section class="intro">
+
+The [arcsecant][arcsecant] is defined as
+
+<!-- <equation class="equation" label="eq:arcsecant_function" align="center" raw="y = \operatorname{arcsec}(x) = \arccos\left(\frac{1}{x}\right)" alt="Arcsecant function"> -->
+
+```math
+y = \mathop{\mathrm{arcsec}}(x) = \arccos\left(\frac{1}{x}\right)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [arcsecant][arcsecant] (in degrees) of a double-precision floating-point number.
 
+<section class="intro">
+
+The [arcsecant][arcsecant] in degrees is defined as
+
+<!-- <equation class="equation" label="eq:arcsecant_degrees" align="center" raw="y = \frac{180}{\pi} \operatorname{arcsec}(x)" alt="Arcsecant in degrees"> -->
+
+```math
+y = \frac{180}{\pi} \mathop{\mathrm{arcsec}}(x)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [arcsecant][arcsecant] (in degrees) of a single-precision floating-point number.
 
+<section class="intro">
+
+The [arcsecant][arcsecant] in degrees is defined as
+
+<!-- <equation class="equation" label="eq:arcsecant_degrees" align="center" raw="y = \frac{180}{\pi} \operatorname{arcsec}(x)" alt="Arcsecant in degrees"> -->
+
+```math
+y = \frac{180}{\pi} \mathop{\mathrm{arcsec}}(x)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [inverse (arc) secant][arcsecant] of a single-precision floating-point number.
 
+<section class="intro">
+
+The [arcsecant][arcsecant] is defined as
+
+<!-- <equation class="equation" label="eq:arcsecant_function" align="center" raw="y = \operatorname{arcsec}(x) = \arccos\left(\frac{1}{x}\right)" alt="Arcsecant function"> -->
+
+```math
+y = \mathop{\mathrm{arcsec}}(x) = \arccos\left(\frac{1}{x}\right)
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## 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
@@ -22,6 +22,22 @@ limitations under the License.
 
 > Compute the [arcsine][arcsine] of a double-precision floating-point number.
 
+<section class="intro">
+
+The [arcsine][arcsine] function is defined as
+
+<!-- <equation class="equation" label="eq:arcsine_function" align="center" raw="y = \arcsin(x), \quad y \in \left[-\tfrac{\pi}{2}, \tfrac{\pi}{2}\right], \; x \in [-1, 1]" alt="Arcsine function definition with range and domain"> -->
+
+```math
+y = \arcsin(x), \quad y \in \left[-\tfrac{\pi}{2}, \tfrac{\pi}{2}\right], \; x \in [-1, 1]
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## Usage