Sentence examples for depends on the order from inspiring English sources

The definition of ⊕ in (2.3) is an ordered one in the sense that it depends on the order of points v 1, …, v n.

The definition of ⨁ is an ordered one in the sense that it depends on the order of points x 1, …, x N.

By induction we define bigoplus_{k=1}^{n}alpha_{k}x_{k} = 1-alpha_{n}) biggl(frac{alpha_{1}}{1-alpha_{n}}x_{1}opluscdots oplusfrac {alpha_{n-1}}{1-alpha_{n}}x_{n-1} biggr) oplusalpha_{n}x_{n}. (2.1) The definition of ⨁ in (2.1) is an ordered one in the sense that it depends on the order of points (x_{1},ldots,x_{n}).

We show that the substitution rates associated with the CpG-methylation-deamination process can be modelled through context-dependent model frequencies and that their accuracy depends on the (order of the) Markov chain imposed at the ancestral root sequence.

"What we make depends on the order," Lin said.

Certainly, support for a public option depends on the order of questions, the language and the arguments posed for or against.

The number of realizations depends on the order of the approximation and the underlying cubature method.

Obviously, the definition of histogram tail depends on the order in which the pixels are scanned.

Otherwise, the mapping process minimizing the distortion depends on the order the elements are processed.

The median point of the interface depends on the order of accuracy r.

A clear visualization of the different genomes in GenomeRing strongly depends on the ordering of the blocks.