👉 In mathematics, a normalising function is a function that is used to scale or normalize certain elements of a vector space. This is particularly useful in geometric spaces, such as Euclidean space, where vectors are often scaled by their magnitude before applying operations like differentiation. For example, consider the unit sphere defined in $\mathbb{R}^3$ with radius 1 centered at the origin $(0, 0, 0)$. The normal vector to this sphere can be represented as a