Results 181 to 190 of about 1,163,094 (200)

A note on the distortion theorem.

Acta Crystallographica. Section B: Structural Science, Crystal Engineering and Materials, 2017
The distortion theorem is a conditional statement that establishes the certain relations between the variation of the mean bond length and the variation of the valence of a central ion of a coordination polyhedron.
M. Nickolsky
semanticscholar   +1 more source

Driving forces behind the distortion of one-dimensional monatomic chains: Peierls theorem revisited

Physical review B, 2018
The onset of distortion in one-dimensional monatomic chains with partially filled valence bands is considered to be well-established by the Peierls theorem, which associates the distortion with the formation of a band gap and a subsequent gain in energy.
D. Kartoon, U. Argaman, G. Makov
semanticscholar   +1 more source

Quantum soft-covering lemma with applications to rate-distortion coding, resolvability and identification via quantum channels

International Journal of Quantum Information, 2023
We propose a quantum soft-covering problem for a given general quantum channel and one of its output states, which consists in finding the minimum rank of an input state needed to approximate the given channel output.
Touheed Anwar Atif, S. Pradhan, A. Winter   +2 more
semanticscholar   +1 more source

A Rate-Distortion Theorem for Arbitrary Discrete Sources

IEEE Transactions on Information Theory, 1998
A rate-distortion theorem for arbitrary (not necessarily stationary or ergodic) discrete-time finite-alphabet sources is given. This result, which provides the expression of the minimum /spl epsiv/-achievable fixed-length coding rate subject to a ...
Po-Ning Chen, F. Alajaji
semanticscholar   +1 more source

Analog of the Montel Theorem for Mappings of the Sobolev Class with Finite Distortion

, 2014
We study the classes of mappings with unbounded characteristic of quasiconformality and obtain a result on the normal families of open discrete mappings f : D→ ℂ \ {a, b} from the class Wloc1,1 with finite distortion that do not take at least two fixed ...
E. Sevost'yanov
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A Rigorous Revisit to the Partial Distortion Theorem in the Case of a Laplacian Source

IEEE Communications Letters, 2017
Jagan Lee, Sangsin Na
semanticscholar   +1 more source

General Distortion Theorem for Univalent Functions with Quasiconformal Extension

, 2017
S. Krushkal
semanticscholar   +1 more source

Distortion Theorem for Locally Biholomorphic Bloch Mappings on the Unit Ball $$\mathcal {B}^{n*}$$Bn∗

, 2015
Jianfei Wang
semanticscholar   +1 more source

The growth theorem and distortion theorem of spirallike mappings on Bp

, 2015
Hao Liu, K. Lu, F. Zhang
semanticscholar   +1 more source

A Distortion Theorem for Functions Convex in One Direction

, 2011
M. Elin, D. Shoikhet, Fiana Yacobzon
semanticscholar   +1 more source