Informationen zu | Englisch Wort ZERO-DIMENSIONAL

Beispiele für die Verwendung von ZERO-DIMENSIONAL in einem Satz

• The corners, also called vertices, are zero-dimensional points while the sides connecting them, also called edges, are one-dimensional line segments.
• All discrete spaces are locally compact and Hausdorff (they are just the zero-dimensional manifolds).
• Two lower-dimensional examples of hyperplanes are one-dimensional lines in a plane and zero-dimensional points on a line.
• Strictly speaking, the spin group describes a fermion in a zero-dimensional space; however, space is not zero-dimensional, and so the spin group is used to define spin structures on (pseudo-)Riemannian manifolds: the spin group is the structure group of a spinor bundle.
• A discrete group is the same thing as a zero-dimensional Lie group (uncountable discrete groups are not second-countable, so authors who require Lie groups to have this property do not regard these groups as Lie groups).
• For example, it can readily compute Gröbner basis, syzygies and minimal free resolutions, intersection, division, the radical of an ideal, the ideal of zero-dimensional schemes, Poincaré series and Hilbert functions, factorization of polynomials, and toric ideals.
• After modding out by these reparametrizations, the quotient space is zero-dimensional — that is, a collection of oriented points representing unparametrized flow lines.
• In fact, the irrationals equipped with the subspace topology have a basis of clopen groups so the space is zero-dimensional.
• The presence of a (zero-dimensional) lattice regularises the series and the finite size and temperature of the system makes renormalisation unnecessary.
• The method employs nanomaterial heterostructures, consisting of zero-dimensional spherical gold nanoparticles and two-dimensional hafnium disulfide nanoplatelets, as building blocks to create a platform technology capable of detecting trace amounts of genetic material in biological samples.

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