Sentence examples for an arbitrary hypothesis from inspiring English sources

As for the acute angle, Saccheri could defeat it only by appealing to an arbitrary hypothesis about the behaviour of lines at infinity.

The test is devised to extract the goodness of fit for a data set to an arbitrary functional hypothesis.

Owing to insufficient data available to develop a satisfactory working hypothesis, an arbitrary sample size of one hundred patients was selected with an expected prevalence of ID of approximately 30%to40%0%.

Note that also for assessing validity we also have no quantitative measures and we also test an arbitrary chosen number of hypotheses.

Note that Boltzmann formulates this hypothesis for an arbitrary body, i.e., it is not restricted to gases.

Then, taking into account our hypotheses, for an arbitrary function (uin U) we derive begin{aligned} Vert FuVert _{L^1(Omega backslash B_T)} &le Vert pVert _{L^1(Omega backslash B_T)}+Vert qVert _uVert uVert _{L^1(Omega backslash B_T }&quad + Mm(Omega )Vert g_1Vert _{L^1(Omega backslash B_T }Vert g_2Vert _{L^infty (Omega backslash B_T))}zeta left( frac{1}{m(Omega )}Vert uVert _{1,1}right).

By hypothesis (A2), there is an arbitrary small positive ε 4 such that r e − d 1 τ 1 > k c ( q + ε 4 ) + d 2 + d 3 M λ, (4.4).

A scaled joint probabilistic data association (SJPDA) method using an arbitrary positive scaling factor to favor the most likely association hypothesis has been proposed in [15].

where is the nominal PDF under hypothesis, in is the maximum degree of contamination, and is an arbitrary density function.

For 0 ≤ α < k, the hypothesis on f k)(z) can be dropped, and kA + 1 can be replaced by an arbitrary positive constant.

It seemed an arbitrary end.