Sentence examples for whose denominators from inspiring English sources

In the proposed rational cubic IFS, we assume q i ( i = 1, 2, …, n − 1 ) are the rational functions with 3-shape parameters, whose denominators are preassigned quadratics.

In 1802, H. Goodwin published an observation on the appearance of 9s in the repeating-decimal representations of fractions whose denominators are certain prime numbers.

The quantized distribution of coverage among single-genome data simplifies the distinction between true polymorphism and sequencing errors: true polymorphisms will occur at frequencies whose denominators match the ploidy of the sequence element (for commonly-sequenced diploid species, that denominator is only two), whereas errors will occur at much lower frequencies vs. the consensus.

Compose all pairs of fractions whose numerators multiply to c (r.t = c) and whose denominators multiply to a (s.u = a).

In the harmonic series, drop all terms whose denominator represented in decimal contains a 9.

whose denominator is larger than zero because.

Let denote the set of all rational numbers, whose denominator is a divisor of for some.

To estimate coil performance, we calculated the stored energy density, whose denominator is the increased coil volume.

The observer keeps a running tally, the ongoing ratio whose numerator is the number of occasions so far observed on which the conclusion as well as the premisses are true and whose denominator is the number of occasions so far observed on which the premisses are true irrespective of whether or not the conclusion is also true.

For the coefficient update equation whose denominator is x T (k) G (k + 1) x (k), molecular and denominator are multiplied by the non-zero real number c at the same time: βG k + 1 x k e k x T k G k + 1 x k + δ = β cG k x k e k x T k cG k + 1 x k + cδ (11).

The optimal decision q fb satisfies the second term condition in the Lemma 1, i.e., q θ fb V ̂ q θ ≥ 0. From the previous calculations, we know that V ̂ q θ = f ′ ( q θ ) - G ′ ( q θ ) + q θ f ′′ ( q θ ) - G ′′ ( q θ ), and q θ fb = V ̂ q θ C ′ q - θ 2 f ″ ( q θ ) - G ″ ( q θ ), whose denominator is non-negative.