Sentence examples for matrices all of from inspiring English sources

Let (Z_{n}) denote the class of all (ntimes n) real matrices all of whose off-diagonal entries are nonpositive.

Now, define Π l for 1 ≤ l ≤ N t as diagonal matrices all of which have their diagonal entries being all 1s except for the (l,l th entry as -1.

A real-valued continuous function on an interval gives rise to a map via functional calculus from the convex set of Hermitian matrices all of whose eigenvalues belong to the interval.

If A is a nonnegative matrix, the Perron-Frobenius theorem guarantees that ρ ( A ) is an eigenvalue of A. Z n denotes the class of all n × n real matrices all of whose off-diagonal entries are nonpositive.

It is well known that there exists a positive vector u such that (Au=rho(A)u), u being called the right Perron eigenvector of A. Denote by (Z_{n}) the set of (ntimes{n}) real matrices all of whose off-diagonal entries are nonpositive.

The insufficiency of Activin for mesendoderm differentiation in CDM differs from its effect in previously published approaches that used serum, stroma cells and complex extra-cellular matrices, all of which contain unknown factors capable of influencing growth factor induced differentiation.

Heartwarming tales like "E.T.," stylish future-noir dramas like "Blade Runner," "Star Trek" in its several incarnations, "The Matrix": all of them offer something new to think about.

Games that have been "solved" in this way include Connect-4, Go-Moku (also known as 5-in-a-row) and 3-dimensional noughts and crosses (played on a mind-boggling 4x4x4 matrix), all of which are won by the first player with correct play.

To compare the behavior of ECC with ECC matrix, all of the preceding properties are also investigated for ECC matrix mixtures of same composition without PVA fiber.

Any N × N matrix, all of whose elements off the main diagonal are equal to zero, is called a diagonal matrix.

On the other hand, fish scale is a calcified tissue that contains osteoblasts, osteoclasts, and bone matrix, all of which are similar to those found in human bones.