Sentence examples for for each singular from inspiring English sources

(Thus classical logic with nonrigid designators is possible only if we require for each singular term t that at each world w, t denotes some object in Dw).

For each singular fibre (F_t, t in B), a neighbourhood of (F_t) is retractible to (F_t), and because of this we have a continuous map ( F rightarrow F_t).

Therefore, the adsorption behavior is characteristic for each singular protein, and computer-based simulation may permit recommending trends or development directions [28].

Since the available matrix of singular vectors at each frequency is U ′[k], inserting (9) in (18) for each singular vector separately leads to ∑ k = 0 K − 1 u i ′ [ k ] e − j θ i u [ k ] w K − kn = 0 (19).

However, given that the objective function as well as all the constraints in the problem (finite number of them) are differentiable, then for each singular value in Y j we can find an open interval that includes it where p j is differentiable (except of course at the singular point).

Older patients with breast cancer are generally fragile and the surgical therapy must be evaluated for each singular patient because of the high mortality due to systemic diseases and the shorter expectancy of life.

Bolt told Abbott that voters heard a promise about matching funding for each school – "singular".

As the coefficients for each right singular vector are used to classify genes and the genes in each class should ideally have coefficients different from genes in other classes, the challenge to identify a vector that produces a good classification can be simplified by measurement of the entropy for each vector's coefficient distribution.

A plot of E i u and E i v versus iteration for each pair of singular vectors is depicted in Figure 5.

A plot of E i versus iteration for each pair of singular vectors is depicted in Figure 2. The decomposition length is M = 9 (order is 8) and we use K = 2M + (N max − N min) = 20 number of DFT points.

However, this measure creates a singularity for singular covariance matrices.