Symmetric functions and their differentiability properties
Differentiability properties and characterization of H-convex functions
... h-convex functions in stratified groups, that are still far from being ...order differentiability of convex functions, namely, the classical Alexsandrov- Busemann-Feller’s ...h-convex ...
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Differentiability of Exponential Functions
... rithmic functions to integral calculus, where exponential functions are expressed as in- verses of logarithmic functions in order to establish their ...exponential functions are often defined ...
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Differentiability v.s. convexity for complementarity functions
... complementarity functions play an important role in dealing with complementarity ...the symmetric cone complementarity problem (SCCP) which includes nonlinear complemen- tarity problem (NCP), semidefinite ...
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Second-order differentiability of probability functions
... Second-order differentiability of probability functions Wim van Ackooij · J´ erˆ ome Malick Received: date / Accepted: date Abstract In this paper, we study second-order differentiability ...
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Rotation symmetric Boolean functions---count and cryptographic properties
... some functions, which they called rotation symmetric (RotS) as components in the rounds of a hashing ...Boolean functions as its S-boxes even if it is provably secure against linear and differential ...
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On the Differentiability of Vector Valued Additive Set Functions
... a Ordinary sequences n n , in which D di- rected by constitute a special case of nets. The net limit takes over all the essential parts of the theory of limits of sequences; to name a few: the uniqueness of limit, ...
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Analysis of dynamic symmetric three players zero sum game with a leader and two followers without differentiability of payoff functions
... type symmetric dynamic three-players zero-sum ...the symmetric payoff ...assume differentiability of players’ payoff ...type symmetric dynamic zero-sum game with a leader and two followers is ...
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Stackelberg equilibrium of dynamic symmetric multi players zero sum game with a leader and followers without differentiability of payoff functions
... type symmetric dynamic n-players zero-sum ...the symmetric payoff ...assume differentiability of payoff ...type symmetric dynamic zero-sum game is equivalent to the equilibrium of the static ...
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Symmetric Functions Capture General Functions
... a symmetric polynomial ...of symmetric polyno- mials can be leveraged for complexity lower ...universality properties of functions such as the determinant polynomials are preserved under our ...
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Nabla Hukuhara Differentiability for Fuzzy Functions on Time Scales
... Hukuhara Differentiability for Fuzzy Functions on Time Scales ...fuzzy functions on time scales under Hukuhara ...fuzzy functions on time scales are ...
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On differentiability of ruin functions under Markov-modulated models
... 1. Introduction In risk theory, ruin probabilities and related quantities have been investigated extensively over the past century. There is a huge amount of literature in this area. The ruin related quantities include ...
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Research Article Differentiability Properties of the Pre-Image Pressure
... continuous functions with unique equilibrium states is a dense G δ -set of CX, R, and for any finite collection of ergodic measures, we can find some continuous function such that its set of equilibrium states ...
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Generalized Rotation Symmetric and Dihedral Symmetric Boolean Functions - 9 variable Boolean Functions with Nonlinearity 242
... combinatorial properties [2−7, 9, 13, 16, 17, 20, 23, ...such functions have been studied in detail in [2, 9, 13, 16, 17, 23, ...these properties and the recently found 9-variable RSBFs having ...
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A graphical calculus for shifted symmetric functions
... of symmetric functions and the graded ring formed by taking direct sum of the Grothendieck groups of the category of S n representations as n varies, where the ring structure is given by the induction ...
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Lax operator for Macdonald symmetric functions
... Macdonald symmetric functions of infinitely many variables x 1 , x 2 , ...Hall-Littlewood symmetric functions of the variables x 1 , x 2 , ...
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On Schur Convexity of Some Symmetric Functions
... “Some properties of dual form of the Hamy’s symmetric function,” Journal of Mathematical Inequalities, ...Hamy symmetric function and its applications,” Journal of Inequalities and Applications, ...
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Sobolev spaces of symmetric functions and applications
... of symmetric solutions of boundary value problems it is important to intro- duce Sobolev spaces of corresponding symmetric functions and to study their imbeddings in L q ...of functions ...
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On the Algebraic Immunity of Symmetric Boolean Functions
... There are two straightforward ways to destroy the symmetry and to still maintain a large set of the properties such as nonlinearity, AI and degree. The first way is by affine transformation on the input variables ...
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Results on Rotation Symmetric Bent Functions
... such functions is also very interesting as they possess certain nice ...such functions gives rise to certain matrix with interesting combinatorial properties that helps in fast calculations of ...
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Some differential subordination and superordination properties of symmetric analytic functions involving Noor integral operator
... k(z) ≺ ϕ(h(z), zh 0 (z), z 2 h 00 (z); z) =⇒ q(z) ≺ h(z). Using these results, the authors in [2] considered certain classes of first-order differential superordinations, see also [5], as well as ...
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