\!h SSKrSSjrSrg)Nc "UR[R5R5n[ UR S5Hn[ U5HAnUSS2U4==[R "USS2U4USS2U45USS2U4--ss'MC [RRUSS2U45nXQ:nU(aUSS2U4==U-ss'M[R"USS2U4R 5USS2U4'M U$)aTransforms a set of column vectors to a orthonormal basis. Given a set of orthogonal vectors, this functions converts such column vectors, arranged in a matrix, into orthonormal basis vectors. Parameters ---------- ary : array-like, shape=[num_vectors, num_vectors] An orthogonal set of vectors (arranged as columns in a matrix) eps : float (default: 1e-13) A small tolerance value to determine whether the vector norm is zero or not. Returns ---------- arr : array-like, shape=[num_vectors, num_vectors] An orthonormal set of vectors (arranged as columns) Examples ----------- For usage examples, please see https://rasbt.github.io/mlxtend/user_guide/math/vectorspace_orthonormalization/ N) astypenpfloat64copyrangeshapedotlinalgnormzeros)aryepsarrijtmpis_linearly_indepedents fC:\Users\julio\OneDrive\Documentos\Trabajo\Ideas Frescas\venv\Lib\site-packages\mlxtend/math/linalg.pyvectorspace_orthonormalizationr sH **RZZ % % 'C 399Q< qA 1IAqD 3q!t95AqD A AIiinnSAY'!$ ! 1I IQT1C1I!. Jc [[R"[RR [ U5SS955$)aComputes the hyper-volume spanned by a vector set Parameters ---------- ary : array-like, shape=[num_vectors, num_vectors] An orthogonal set of vectors (arranged as columns in a matrix) Returns ---------- dimensions : int An integer indicating the "dimensionality" hyper-volume spanned by the vector set Examples ----------- For usage examples, please see https://rasbt.github.io/mlxtend/user_guide/math/vectorspace_dimensionality/ r)axis)intrsumr r r)rs rvectorspace_dimensionalityrLs/0 rvvbiinn%CC%HqnQR SSr)gvIh%<=)numpyrrrrrr s=@Tr