Sentence examples for cases of hypotheses from inspiring English sources

Note that there are two extreme cases of hypotheses.

But Whewell argued on the basis of the history of science that there are cases of hypotheses where the supposed causes have not been observed and which yet seem to yield explanations of observable phenomena.

Thus, due to the composite combinations (hypotheses over hypotheses with cascade interlaces, as in the cases of hypotheses H9,…, H12), the proper selection of the preferable implementation structure cannot be cast as an analytically tractable closed-form optimization problem.

We will show that z verifies z ∈ [ S z ] α ( z ) ∩ [ T z ] α ( z ) distinguishing the cases of hypothesis (d).

From Eq. (48), the c.f. of U in the case of hypotheses H0 and H1 will be ψ U | H 0 ( jω ) = 1 1 - jω σ n 2 L KL (49).

Compared with [5], Assumption 2.2 in this paper is a generalization of the case of hypothesis (H2) of [5].

The characteristic function (c.f). of U obtained from Eq. (3) in the case of hypothesis H0 is given as [25] ψ U | H 0 ( j ω ) = 1 1 - j ω σ n 2 L 2 L, (5).

The difference lies in the case of hypothesis ℋ 1, where we need to solve max Σ A, Σ T log f Z Z ; Σ A ⊗ Σ T, s. t Σ A = J L Σ A T J L Σ T = J N Σ T T J N (31).

In the case of hypothesis 3, the proposed mediator is an increase in the strength of the patient's belief that he or she is capable of overcoming interpersonal difficulties in general rather than just those which have been the focus of treatment.

In cases of directional hypotheses, analyses were computed one-tailed.

A case study of hypotheses generation based on the proposed method has been presented in the paper.