# ulab.numerical – Numerical and Statistical functions¶

Most of these functions take an “axis” argument, which indicates whether to operate over the flattened array (None), rows (0), or columns (1).

ulab.numerical.argmax(array: _ArrayLike, *, axis: Optional[int] = None) → int

Return the index of the maximum element of the 1D array

ulab.numerical.argmin(array: _ArrayLike, *, axis: Optional[int] = None) → int

Return the index of the minimum element of the 1D array

ulab.numerical.argsort(array: ulab.array, *, axis: Optional[int] = None) → ulab.array

Returns an array which gives indices into the input array from least to greatest.

ulab.numerical.diff(array: ulab.array, *, axis: int = 1) → ulab.array

Return the numerical derivative of successive elements of the array, as an array. axis=None is not supported.

ulab.numerical.flip(array: ulab.array, *, axis: Optional[int] = None) → ulab.array

Returns a new array that reverses the order of the elements along the given axis, or along all axes if axis is None.

ulab.numerical.max(array: _ArrayLike, *, axis: Optional[int] = None) → float

Return the maximum element of the 1D array

ulab.numerical.mean(array: _ArrayLike, *, axis: Optional[int] = None) → float

Return the mean element of the 1D array, as a number if axis is None, otherwise as an array.

ulab.numerical.min(array: _ArrayLike, *, axis: Optional[int] = None) → float

Return the minimum element of the 1D array

ulab.numerical.roll(array: ulab.array, distance: int, *, axis: Optional[int] = None) → None

Shift the content of a vector by the positions given as the second argument. If the axis keyword is supplied, the shift is applied to the given axis. The array is modified in place.

ulab.numerical.sort(array: ulab.array, *, axis: Optional[int] = 0) → ulab.array

Sort the array along the given axis, or along all axes if axis is None. The array is modified in place.

ulab.numerical.std(array: _ArrayLike, *, axis: Optional[int] = None) → float

Return the standard deviation of the array, as a number if axis is None, otherwise as an array.

ulab.numerical.sum(array: _ArrayLike, *, axis: Optional[int] = None) → Union[float, int, ulab.array]

Return the sum of the array, as a number if axis is None, otherwise as an array.