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Some properties of power permutations, that is, monomials bijective mappings on F 2 n , are investigated. ... In particular, the differential spectrum of these functions is shown to be of great interest for estimating their resistance to some variants of differential cryptanalysis. ... Section 2 recalls some definitions and properties related to the resistance of a function to differential attacks. ...doi:10.1504/ijicot.2010.032132 fatcat:2blr7vl26bccvcabutwiw6ts4e
Some properties of power permutations, that is, monomials bijective mappings on F 2 n , are investigated. ... In particular, the differential spectrum of these functions is shown to be of great interest for estimating their resistance to some variants of differential cryptanalysis. ... Section 2 recalls some definitions and properties related to the resistance of a function to differential attacks. ...doi:10.1109/isit.2010.5513437 dblp:conf/isit/BlondeauCC10 fatcat:ikrd5wgzxjbhfiepofx5ot35v4
We derive properties of powers of a function satisfying a second-order linear differential equation. ... In particular we prove that the n-th power of the function satisfies an (n+1)-th order differential equation and give a simple method for obtaining the differential equation. ... Koutschan for computation of (16) . ...arXiv:1405.4451v1 fatcat:6x5lwe2wdjf7locx6ezqwf7g5u
differential properties. ... The article deals with a non‐linear method of correlation function and spectrum power density estimation for which analogies of A. Shuster's periodic diagrams have been used. ... As it is know the very properties of these signals determine both the character of the decrease of power spectrum density of signals and differential characteristics of the correlation function [4, 6, ...doi:10.3846/16487788.2006.9635923 fatcat:7glcvziwtrclhpr2vdwpjxmbxe
Noether property for equations of the first kind with power kernels. 32. Equations with power-logarithmic kernels and a variable limit of integration. 33. ... The main properties of fractional integrals and deriva- tives. 6. The representability of functions by fractional integrals of functions belonging to L,. 7. ...
Using an example, he shows that the existence of a Lyapunov function for equation (1) is insufficient for satisfying the A-property. ... Krasovskii introduced the so-called A-property of trajectories and established its equivalence to the existence of a Lyapunov function admitting an infinitesi- mal upper limit and with a derivative of ...
American Sociological Review
This is to say, it cannot yet be demonstrated that it is unavoidable that differential pres- tige and esteem shall accrue to positions which command differential rewards in power and property. ... If such dif- ferential power and property are viewed by all as commensurate with the differential responsibilities, and if they are culturally defined as resources and not as rewards, then, no differentials ...
Physics Letters A
We also prove that the usual Leibniz rule with α = 1 cannot hold for sets of differentiable and non-differentiable functions. ... We prove that Eq. (3.6) for fractional-order derivative of power function and the usual Leibniz rule (3.7) , which are based relations of the considered paper, cannot hold together for fractional derivatives ... Then these functions are α-differentiable. In addition, Eq. (1) (see Eq. (3.6) of  ) means that fractional derivatives of power functions exist. Step 3. ...doi:10.1016/j.physleta.2015.02.005 fatcat:76mke56pnvd6zlqjp6ruwrbgv4
o (o) The properties of the Elliptic functions may be then derived directly from those of the Theta-functions. ... The Theta-functions being elemental in the whole theory, it is more scientific to establish their properties without making use of the properties of the elementary elliptic functions sn, cn and dn. ... the analogous properties of the functions just mentioned. ...doi:10.1007/bf03014597 fatcat:etzigjp2jfhwndfu3cednvqrka
Based on the definition of \alpha-derivative the operations of analysis and differential geometry are studied It was recently proved, that this variant of introduction of the derivative leads to a new ... scaling of the common Leibniz derivative, but not to a alternative type of derivation. ... In accordance with the theory of analytic continuation of complex variable function all properties of a function analytic in some point are defined by its power expansion in this point [ 17 ] . ...arXiv:1202.2714v3 fatcat:qs3lboibjzb2pk2qehy2mrfemu
Although cellular mechanical properties are known to alter during stem cell differentiation, understanding of the functional relevance of such alterations is incomplete. ... Our results indicate that the material properties of cells define their function, can be used as a cell differentiation marker and could serve as target for novel therapies. ... Acknowledgments We are grateful to Donald and Ada Olins for providing the HL60/S4 cells and for sharing their expertise in induced differentiation of these cells. ...doi:10.1371/journal.pone.0045237 pmid:23028868 pmcid:PMC3459925 fatcat:jir7b36ovnfs3jjutwzwltbmq4
To examine the resemblance between numerical and theoretical analysis, two properties of free-space optical channel is considered including the probability density function and auto-covariance property ... This paper provide a model that can analyze the influence of inevitable turbulence effect on a free-space channel which is based on the stochastic differential equation to synthesis lognormal distributed ... III.a Probability Density Function Statistics The probability density function of gain samples is the most important property of free-space optical channel. ...doi:10.26782/jmcms.2018.12.00002 fatcat:zxkrvtqgwjerxovqmnsg7r36zi
The polynomials which satisfy linear differential equations of the second order and of the hypergeometric type have been the object of extensive work, and very few properties of them remain now hidden; ... To show what can be done in these ways, I shall briefly give the definition and principal properties of some polynomials analogous to Pineheile's and of some allied functions. I. ... The polynomials which satisfy linear differential equations of the second order and of the hypergeometric type have been the object of extensive work, and very few properties of them remain now hidden; ...doi:10.1017/s0013091500035756 fatcat:hm2cdsy43ffhdiaw3zgl2it5yy
We shall now develop some of the properties of these functions, ultimately to be identified with the sine and cosine, on the basis of this definition. TuHeorEM I. U?+ V?= 1. By hypothesis U” + n? ... The power of the method which is here developed attaches to the fact that the theorem just quoted assures us of the uniqueness as well as the existence of the two functions U and V which we shall choose ...doi:10.2307/2298915 fatcat:6kparzki3fcz7dux6c64fon5n4
Automation and Remote Control
of invariance, rigid technical requirements with regard to its dy- namic properties must be imposed on the transfer function of the amplifier with the slide valve, It is desirable that the transfer function ... of this unit should be described by the relation W = a'(p)/4,(p)=Ky over its available operating frequency band, This will substantially improve the dynamic properties of a hydraulic power servo drive ...
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