Sentence examples for classical properties from inspiring English sources

Although the decisive breakthrough to non-Euclidean geometry would not occur until the 19th century, researchers did achieve a deeper and more systematic understanding of the classical properties of space.

It contributes some of the necessary conditions for classical properties and behaviors, but no sufficient conditions.

By classical properties of Poisson processes [4], if the processes are i.i.d.i.d

In our first lemma, we summarize some classical properties of Bernoulli polynomials.

That the intuitionistic continuum does not satisfy certain classical properties can be easily seen via weak counterexamples.

It is easy to check that the classical properties of the Fourier transform hold for the measure ((dk)_{gamma}).

Is there any viable constructive substitute for the classical property of sequential compactness?

Values VarLBP, LBP θ 0, and LBP θ 1 in Table 1 represent local binary pattern variance (which is a classical property of the LBP operator [19]) and the angles defined by them, as detailed in [18].

In [13], the authors obtained a classical property of the function V a ( 1 − γ ) ( u, v, w ) : it tends to +∞ at the infinity point of the locally compact space { ( u, v, w ) ∣ u > 0, v > 0, w > 0 }.

For a particular classical property $P$, every point $\gamma$ in the phase space lies either inside the set $\PC$, so that the property is true for this $\gamma$, or else it lies in the complementary set $\PC^c$, and the property $P$ is false.

A classical property $P$ is a collection of points $\PC$ from the phase space, and can be conveniently described by an indicator function $P \gamma)$ which is equal to 1 if $\gamma \in \PC$ and 0 otherwise.