Sentence examples for usual matrix from inspiring English sources

In the finite-dimensional case, multiplication is realized as the usual matrix product.

Here, I and O are ( m + 1 ) ( n + 1 ) identity and zero matrices, respectively, and T denotes the usual matrix transpose.

Let us assume that the usual matrix product (EB r,s,t,u)) exists, which is a much weaker hypothesis than the conditions on the matrix E belonging to any class of matrices, in general.

As a motivation for the terminology used calling the analyzed systems "oscillating" served the formal similarity with the partial sums of the defining series for the usual matrix sine and matrix cosine together with the formal parallel between (1.6) and systems of ordinary differential equations describing oscillating processes ((1.6) with ).

For our initial studies, we used circles, to avoid any resemblance to the usual matrix format.

In the simplest case, the identity matrix M = id L is used and ⊗ is the usual matrix multiplication.

then is a Banach algebra equipped with the usual matrix-like operations and the following norm: (2.42).

Thus, after computing the "usual" matrices for RNA minimum free energy prediction (the minimum free energy F (i, j), the minimum energy given that i and j form a base pair C i, j), and the minimum free energy for multi loop segments M (i, j)), we need to fill the following matrices: Here, I is the energy of an interior loop.

Since the four categories probably have a substantial income overlap, these matrices are not exactly the same as the usual mobility matrix.

The rigidity of the beam is given by the addition of a usual stiffness matrix of two aluminum skins and an MRE complex stiffness matrix.

Kayak has the usual fare matrix, which shows number of stops on one axis and airlines on another, but Google slices up the data in two interesting and useful ways.