euclidean norm การใช้

• Any square matrix with unit Euclidean norm is the average of two unitary matrices.
• The solution with minimum Euclidean norm is z.
• Euclidean norm ) and \ Theta ( \ cdot ) the Heaviside step function.
• Is a norm called the Euclidean norm.
• For Euclidean vectors, this expression is their " magnitude " ( Euclidean norm ).
• It is identical to the Euclidean norm, if the complex plane is identified with the Euclidean plane.
• (above, i is the imaginary unit and | \ cdot | is the Euclidean norm ).
• M has Euclidean norm as a 16D vector if and only if A is indeed a 4D rotation matrix.
• The square root of a non-negative number is used in the definition of Euclidean norm ( and physical laws.
• Where the vertical bars sandwiching represent the length of that difference vector, i . e ., the Euclidean norm.
• The L _ { 2, 1 } norm is the sum of the Euclidean norms of the columns of the matrix:
• Is absolutely convergent with respect to the Euclidean norm of \ mathbb { M } _ n ( \ mathbb { C } ).
• The length of the vector is determined by calculating its Euclidean norm : the square root of the sum of squares of the vector components.
• Indeed, it is simply the Euclidean norm if the matrix is considered as a vector of length " m " " n ".
• The Frobenius norm is the Euclidean norm on K ^ { n \ times n } and comes from the Frobenius inner product on the space of all matrices.
• The greatest advantage of the Euclidean norm, p = 2, is that it allows for analytic solutions and it guarantees that V _ p will only have a single minimum.
• Where, again, the particle momenta \ vec { p } are first summed as vectors, and then the square of their resulting total magnitude ( Euclidean norm ) is used.
• Geometrically, split-complex numbers are related to the "'modulus "'in the same way that complex numbers are related to the square of the Euclidean norm.
• A popular regularization penalty is \ sum _ j \ beta _ j ^ 2, which is the squared Euclidean norm of the weights, also known as the L _ 2 norm.
• In 2-connected planar graphs that are not maximal, there exist simple cycle separators with size proportional to the Euclidean norm of the vector of face lengths that can be found in near-linear time.