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单词 billiard
释义

Examplesofbilliard

billiard
We exclude = 1 and = 0 from our consideration, as the singular set 1,0 of the correspondingbilliardtable coincides with its boundary.
From theCambridge English Corpus
Two suchbilliardtables will be called geodesically equivalent if they are geodesically equivalent in the complement of the union of the corresponding singular sets.
From theCambridge English Corpus
A slab of freshwater ice formed the smooth top of abilliardtable made of ice blocks, with pockets and cushions crafted out of walrus-hide.
From theCambridge English Corpus
In the case of geodesically equivalentbilliardtables, these integrals are pairwise commuting.
From theCambridge English Corpus
Whenever thebilliardparticle enters the hole, it gets absorbed with its orbit deleted from the phase space.
From theCambridge English Corpus
Another class of integrablebilliardtables appears on quadrics.
From theCambridge English Corpus
It is weaker in that a uniformly distributedbilliardpath is always dense, but not conversely.
From theCambridge English Corpus
In [6], it is shown that the topological entropy of a compact non-degenerate semi-dispersingbilliardon any manifold of non-positive sectional curvature is finite.
From theCambridge English Corpus
In this paper we show that the topological entropy of a compact non-degenerate semidispersingbilliardon any manifold of non-positive sectional curvature is finite.
From theCambridge English Corpus
That theory is already applicable forbilliardsystems, too.
From theCambridge English Corpus
Thus, we obtained that any cylindricbilliardwith one-dimensional generators is necessarily tight, unless all generators are parallel.
From theCambridge English Corpus
The connected configuration space of a so-called cylindricbilliardsystem is a flat torus minus finitely many spherical cylinders.
From theCambridge English Corpus
The transformation in question is a projectivebilliardtransformation, the transversals being the normals to in the metric under consideration.
From theCambridge English Corpus
Thebilliardtransformation is defined in metric terms (equal angles), and, in particular, it is not equivariant under projective transformations of the plane.
From theCambridge English Corpus
An example of this situation is given by the usualbilliardin an ellipse; thebilliardtransformation has an invariant area form.
From theCambridge English Corpus
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
#https://dictionary.cambridge.org//dictionary/english/billiard##
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更新时间:2025/1/14 16:37:27