Sentence examples for given the hypotheses from inspiring English sources
For given the hypotheses we have managed to come up with, we can always generate a set of hypotheses which jointly exhaust logical space.
Given the hypotheses defined in (2), the resulting likelihood ratio begin{array}rcl@ Lambda k,ell) &=& frac{pleft(X k,ell) | mathrm{H}_{1} right)}{ pleft(X k,ell) | mathrm{H}_{0} right)} end{array} (24).
Given the hypotheses on X t and α t in the t th frame as well as P t, the corresponding synthesized shape y t can be created by the generative model (9) followed by a scaling factor reflecting the range z t ∈ X t.
I used a one-sided test for significance given the hypotheses that bipedal posture would be more effective than quadrupedal posture and that striking downward would result in more powerful recordings than upward strikes.
Nevertheless, these results provide strong evidence for UCA, given the hypotheses and sequence data currently available.
Also, given the hypothesis of overlap in genetic risk between the two disorders21 we wished to determine if there is overlap in the identity of associated genes.
Power analysis indicated that the data were approximately 100 times more likely given the hypothesis of no MAE change than the hypothesis of a 10% relative change.
Specifically Bayes's theorem states (trumpets sound here) that the posterior probability of a hypothesis is equal to the product of (a) the prior probability of the hypothesis and (b) the conditional probability of the evidence given the hypothesis, divided by (c) the probability of the new evidence.
Given the hypothesis that Aβ is a result of aberrant catabolism of APP, differential expression of mRNA isoforms containing protease inhibitors might play an active role in the pathology of AD.
Both of these formulations, however, require complete or partial knowledge of the joint densities (pdf) of the observations at the sensor nodes given the hypothesis.
The calculation requires (i) the prior probability of the data, (ii) the probability of the data given the hypothesis, and (iii) the prior probability of the hypothesis.[26] The relevance of Bayes' Theorem to Cognitive Science.
