diff --git a/README.md b/README.md index ae963298..2bf52401 100644 --- a/README.md +++ b/README.md @@ -76,80 +76,87 @@ Then run `carthage update` and use the framework in `Carthage/Build/`. ### Arithmetic -- `sum` -- `asum` -- `max` -- `min` -- `mean` -- `meamg` -- `measq` -- `add` -- `sub` -- `mul` -- `div` -- `mod` -- `remainder` -- `sqrt` +- `sum`: [Summation](https://en.wikipedia.org/wiki/Summation) +- `asum`: [Absolute summation](https://en.wikipedia.org/wiki/Summation) +- `max`: [Maximum](https://en.wikipedia.org/wiki/Maximal_and_minimal_elements) +- `min`: [Minimum](https://en.wikipedia.org/wiki/Maximal_and_minimal_elements) +- `mean`: [Arithmetic mean](https://en.wikipedia.org/wiki/Mean) +- `meamg`: [Mean of magnitudes](https://en.wikipedia.org/wiki/Mean) +- `measq`: [Mean of squares](https://en.wikipedia.org/wiki/Mean_square) +- `add`: [Addition](https://en.wikipedia.org/wiki/Addition) +- `sub`: [Subtraction](https://en.wikipedia.org/wiki/Subtraction) +- `mul`: [Multiplication](https://en.wikipedia.org/wiki/Multiplication) +- `div`: [Division](https://en.wikipedia.org/wiki/Division_(mathematics)) +- `mod`: [Modulo](https://en.wikipedia.org/wiki/Modulo_operation) +- `remainder`: [Remainder](https://en.wikipedia.org/wiki/Remainder) +- `sqrt`: [Square root](https://en.wikipedia.org/wiki/Square_root) ### Auxiliary -- `abs` -- `ceil` -- `copysign` -- `floor` -- `rec` -- `round` -- `trunc` +- `abs`: [Absolute value](https://en.wikipedia.org/wiki/Absolute_value) +- `ceil`: [Ceiling function](https://en.wikipedia.org/wiki/Floor_and_ceiling_functions) +- `copysign`: [Signum function](https://en.wikipedia.org/wiki/Sign_function) +- `floor`: [Floor function](https://en.wikipedia.org/wiki/Floor_and_ceiling_functions) +- `rec`: [Multiplicative inverse](https://en.wikipedia.org/wiki/Multiplicative_inverse) +- `round`: [Rounding function](https://en.wikipedia.org/wiki/Rounding) +- `trunc`: [Integer truncation](https://en.wikipedia.org/wiki/Truncation) ### Convolution -- `conv` -- `xcorr` +- `conv`: [Convolution](https://en.wikipedia.org/wiki/Convolution) +- `xcorr`: [Cross correlation](https://en.wikipedia.org/wiki/Cross-correlation) ### Exponential -- `exp` -- `exp2` -- `log` -- `log2` -- `log10` -- `logb` +- `exp`: [Exponential function](https://en.wikipedia.org/wiki/Exponential_function) +- `exp2`: [Base-2 exponential function](https://en.wikipedia.org/wiki/Exponential_function) +- `log`: [Base-e logarithm](https://en.wikipedia.org/wiki/Logarithm) +- `log2`: [Base-2 logarithm](https://en.wikipedia.org/wiki/Logarithm) +- `log10`: [Base-10 logarithm](https://en.wikipedia.org/wiki/Logarithm) +- `logb`: [Base-radix logarithm](https://en.wikipedia.org/wiki/Logarithm) ### FFT -- `fft` +- `fft`: [Fast fourier transform](https://en.wikipedia.org/wiki/Fast_Fourier_transform) ### Hyperbolic -- `sinh` -- `cosh` -- `tanh` -- `asinh` -- `acosh` -- `atanh` +- `sinh`: [Hyperbolic sine](https://en.wikipedia.org/wiki/Hyperbolic_function) +- `cosh`: [Hyperbolic cosine](https://en.wikipedia.org/wiki/Hyperbolic_function) +- `tanh`: [Hyperbolic tangent](https://en.wikipedia.org/wiki/Hyperbolic_function) +- `asinh`: [Inverse hyperbolic cosine](https://en.wikipedia.org/wiki/Inverse_hyperbolic_functions) +- `acosh`: [Inverse hyperbolic cosine](https://en.wikipedia.org/wiki/Inverse_hyperbolic_functions) +- `atanh`: [Inverse hyperbolic cosine](https://en.wikipedia.org/wiki/Inverse_hyperbolic_functions) ### Matrix -- `add` -- `mul` -- `inv` -- `transpose` +- `sum`: [Axis-wise summation](https://en.wikipedia.org/wiki/Summation) +- `add`: [Matrix addition](https://en.wikipedia.org/wiki/Matrix_addition) +- `sub`: [Matrix subtraction](https://en.wikipedia.org/wiki/Matrix_subtraction) +- `mul`: [Matrix multiplication](https://en.wikipedia.org/wiki/Matrix_multiplication) +- `div`: [Matrix division](https://en.wikipedia.org/wiki/Division_(mathematics)#Of_matrices) +- `inv`: [Matrix inversion](https://en.wikipedia.org/wiki/Matrix_inversion) +- `transpose`: [Matrix transpose](https://en.wikipedia.org/wiki/Matrix_transpose) +- `det`: [Determinant](https://en.wikipedia.org/wiki/Matrix_determinant) +- `pow`: [Element-wise power](https://en.wikipedia.org/wiki/Power_(mathematics)) +- `exp`: [Element-wise exponential function](https://en.wikipedia.org/wiki/Exponential_function) +- `elmul`: [Element-wise matrix multiplication](https://en.wikipedia.org/wiki/Multiplication) ### Power -- `pow` +- `pow`: [Power](https://en.wikipedia.org/wiki/Power_(mathematics)) ### Trigonometric - `sincos` -- `sin` -- `cos` -- `tan` -- `asin` -- `acos` -- `atan` -- `rad2deg` -- `deg2rad` +- `sin`: [Sine function](https://en.wikipedia.org/wiki/Trigonometric_functions#cosine) +- `cos`: [Cosine function](https://en.wikipedia.org/wiki/Trigonometric_functions#cosine) +- `tan`: [Tangent function](https://en.wikipedia.org/wiki/Trigonometric_functions#cosine) +- `asin`: [Arc sine function](https://en.wikipedia.org/wiki/Trigonometric_functions#cosine) +- `acos`: [Arc cosine function](https://en.wikipedia.org/wiki/Trigonometric_functions#cosine) +- `atan`: [Arc tangent function](https://en.wikipedia.org/wiki/Trigonometric_functions#cosine) +- `rad2deg`: [Radians to degrees](https://en.wikipedia.org/wiki/Radian) +- `deg2rad`: [degrees to radians](https://en.wikipedia.org/wiki/Radian) ## Usage