Results 291 to 300 of about 2,640,083 (343)

The Kawasaki identity and the Fluctuation Theorem. [PDF]

open access: yesThe Journal of Chemical Physics, 2004
In this paper we show that the Fluctuation Theorem of Evans and Searles [D. J. Evans, D. J. Searles, Phys. Rev. E 50, 1645 (1994)] implies that the Kawasaki function 〈exp(−Ωt)〉 is unity for all time t. We confirm this relationship using experimental data obtained using optical tweezers, and show that the Kawasaki function is a valuable diagnostic tool.
D. Carberry   +4 more
semanticscholar   +4 more sources

Stokes’ theorem, Stein’s identity and completeness

Statistics & Probability Letters, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fourdrinier, Dominique   +1 more
openaire   +1 more source

P2B: Privacy Preserving Identity-Based Broadcast Proxy Re-Encryption

IEEE Transactions on Vehicular Technology, 2020
This paper proposes Privacy Preserving Identity-Based Broadcast Proxy Re-encryption (P2B) — a scheme to provide privacy preserving in identity-based broadcast proxy re-encryption.
Sumana Maiti, S. Misra
semanticscholar   +1 more source

The reciprocal theorem in fluid dynamics and transport phenomena

Journal of Fluid Mechanics, 2019
In the study of fluid dynamics and transport phenomena, key quantities of interest are often the force and torque on objects and total rate of heat/mass transfer from them.
Hassan Masoud, H. Stone
semanticscholar   +1 more source

Residue Theorem and Theta Function Identities

The Ramanujan Journal, 2001
The residue theorem is applied with ingenuity to elliptic functions to prove some identities of Ramanujan as well as some new identities. The idea is simply to use the fact that the sum of the residues of an elliptic function in a period parallelogram is zero. We quote two of the many results obtained.
openaire   +2 more sources

Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations

, 2016
A general method using multipliers for finding the conserved integrals admitted by any given partial differential equation (PDE) or system of partial differential equations is reviewed and further developed in several ways.
S. Anco
semanticscholar   +1 more source

Multiple identity theorem

We derived that FLT ordered pair must be satisfied (X,Y,Z)=(1/2)*(G^n-R^n+L^n, G^n+R^n-L^n, G^n+R^n+L^n)Then by using this multiple identity theorem, we can find G=R+L.Then I think now we can prove FLT.
openaire   +1 more source

TWO THEOREMS ON IDENTITIES IN MULTIOPERATOR ALGEBRAS

Russian Mathematical Surveys, 1969
Two (unconnected) propositions on Ω-algebras with identical relations are proved. The first of these (Theorem 1, in § 1) generalizes to Ω-algebras a known fact from the theory of associative linear algebras, which asserts that every finite-dimensional algebra is an algebra with identical relations (more exactly, every algebra A of dimension m over a ...
openaire   +2 more sources

Jacobi's Two-Square Theorem and Related Identities

The Ramanujan Journal, 1999
It is shown that Jacobi's two-square theorem is an almost immediate consequence of a famous identity of Jacobi \[ \prod_{n=1}^\infty (1-x^n)^3= \sum_{m=0}^\infty (-1)^m (2m+1) x^{\frac 12 m(m+1)}. \] Furthermore, the author draws combinatorial conclusions from two identities of Ramanujan, namely a formula for the number of representations of an integer
openaire   +1 more source

Identity Theorems for Functions of Bounded Characteristic

Journal of the London Mathematical Society, 1998
Suppose that \(f(z)\) is meromorphic of bounded characteristic in the unit disk \(\Delta: | z|< 1\). Then we say that \(f(z)\in {\mathcal N}\). It is classical in this case, that if \(z_j\in \Delta\), \[ | z_j |\to 1 \quad \text{as } j\to \infty, \qquad \text{and} \quad \sum(1- | z_j|)= \infty, \tag{1} \] then \(f(z_j)=0\) for all \(j\) implies \(f(z) \
openaire   +2 more sources

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