Sentence examples for same number of dimensions from inspiring English sources

Indeed, for predators able to attack the core of a group directly, the rich choice of targets there might actually make it a better place to look for a meal.If predators are able to operate only in the same number of dimensions as their prey as is the case for lions and zebra, or barracuda and schooling fish then individuals at the centre of a group really should be safer than those at the edges.

Consequently, what come first are the moments that present the same number of dimensions as the whole dimensional system.

From the definitions above, the soft feature P C soft and the hard features, P C hard, (PC_{textit {hard}}^{oracle}), and (PC_{textit {hard}}^{decode}) all have the same number of dimensions, which is the number of different states in the monophone GMM-HMM.

The challenge is actually twofold: Firstly, a vector should not contain an abundant amount (thousands or hundreds) of features or values of a feature, because of the curse of dimensionality [32]; secondly, every vector should have the same number of dimensions, in order to fit the classifiers.

Thus, by comparing measurements of gravitational waves and light as it propagated through space, physicists at LIGO were able to determine whether these two different waveforms were experiencing the same number of dimensions of spacetime.

We can compare all genes, DNA and genome sequences with different lengths by truncating all different (n+4) natural vectors into the same number of dimensions.

This means that the number of dimension of the Klein space \(\Sigma(M_{p})\) has the same number of dimension as the manifold \(M\).

The reduced rank (FARR) models impose a constraint on the more general FA model, and it can be noted that this constraint results in models of poorer fit for the same number of FA dimensions.

In the expression, we write λ ( Ω, k ) the same number of times as the dimension of the corresponding eigenspace.

Our numerical experiments for the stochastic Lorenz 96 model also show that the averaging of independent estimators can lead to lower estimation errors, compared to a centralised bootstrap filter with the same number of particles, as the dimension of the state space is increased.

While the problem of finding a polynomial of two variables with total degree ≤n given the values of the polynomial and some of its derivatives at exactly the same number of points as the dimension of the polynomial space is sometimes impossible, we show that such a problem always has a solution in a very general situation if the degree of the polynomials is sufficiently large.