### Optimal Cryptographic Functions over Finite Fields

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introduction equivalence relations of functions apn constructions and their applications and properties optimal cryptographic functions over finite fields lilya budaghyan selemer center department of informatics university of bergen norway carleton finite fields eseminar june 10, 2020 1 / 48 introduction equivalence relations of functions apn constructions and their applications

### Section 5.1 Trigonometric Functions of Real Numbers

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section 5.1 trigonometric functions of real numbers in calculus and in the sciences many of the applications of the trigonometric functions require that the inputs be real numbers, rather than angles. by making this small but crucial change in our viewpoint, we can define the trigonometric functions in such a

### Reduction formulae for generalised hypergeometric functions

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j. phys. a: math. gen. 21 (1988) 1983-1998. printed in the u k reduction formulae for generalised hypergeometric functions of one variable j e gottschalk and e n maslen department of physics, university of western australia, nedlands, western australia 6009, australia received 29 july 1987 abstract. series of gamma

### Determining Essential & Marginal Job Functions

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determining essential & marginal job functions essential job functions - whether a particular function, task or job duty is "essential" is a factual determination that the eeoc says must be made on a case-by-case basis. "essential functions" are those functions that the individual who holds the position must be able

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critical business functions identifying critical business functions is integral in resuming operations following a disaster. this template will walk you through the very important steps of identifying the most critical functions in your business. you may consider your critical functions as those activities that are vital to your organization’s survival

### Bayesian, and non-Byesian, cause-specific competing-risk

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jss journal of statistical software mmmmmm yyyy, volume vv, issue ii. doi: 10.18637/jss.v000.i00 bayesian, and non-bayesian, cause-speciﬁc competing-risk analysis for parametric and non-parametric survival functions: the r package cfc alireza s. mahani scientiﬁc computing sentrana inc. mansour t.a. sharabiani school of public health imperial

### Non smooth Lyapunov functions for stability analysis of hybrid

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non smooth lyapunov functions for stability analysis of hybrid systems matteo della rossa to cite this version: matteo della rossa. non smooth lyapunov functions for stability analysis of hybrid systems. automatic. insa de toulouse, 2020. english. ￿nnt : 2020isat0004￿. ￿tel-03186040v1￿ hal id: tel-03186040 https://tel.archives-ouvertes.fr/tel-03186040v1 submitted on 30 mar 2021

### Abstract ON THE ANGULAR LIMITS OF BLOCH FUNCTIONS

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publicacions matemátiques, vol 32 (1988), 191-198. on the angular limits of bloch functions j .j . carmona* , j . cuff* and ch . pommerenke** abstract this paper contains a method to associate to each function f in the little bloch space another function

### Topics in Multiplicative and Probabilistic Number Theory by

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topics in multiplicative and probabilistic number theory by alexander p. mangerel a thesis submitted in conformity with the requirements for the degree of doctor of philosophy graduate department of mathematics university of toronto c copyright 2018 by alexander p. mangerel abstract topics in multiplicative and probabilistic number theory alexander

### BOOLEAN FUNCTIONS Theory, Algorithms, and Applications

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boolean functions theory, algorithms, and applications yves crama and peter l. hammer with contributions by claude benzaken, endre boros, nadia brauner, martin c. golumbic, vladimir gurvich, lisa hellerstein, toshihide ibaraki, alexander kogan, kazuhisa makino, and bruno simeone september 23, 2010 copyright yves crama hec management school of the university

### Zeta And Eta Functions For Atiyah-patodi-singer

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zeta and eta functions for atiyah-patodi-singer operators gerd grubb and robert t. seeley* department of mathematics, university of copenhagen department of mathematics, university of massachussetts at boston 1. introduction 1the zeta function of a laplacian ∆ is ζ(∆, s) = trace(∆−s), where ∆−s is taken to be zero

### 2D Toda tau-functions as combinatorial generating functions

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2d toda τ -functions as combinatorial generating functions∗ mathieu guay-paquet1 and j. harnad2,3 1 universit´e du qu´ebec `a montr´eal 201 av du pr´esident-kennedy, montr´eal qc, canada h2x 3y7 email: [email protected] 2 centre de recherches math´ematiques, universit´e de montr´eal c. p. 6128, succ. centre ville, montr´eal, qc, canada h3c 3j7 e-mail:

### Features and Basis Functions

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features and basis functions ryan p. adams cos 324 – elements of machine learning princeton university at this point, you might be reasonably wondering how far we can really get with linear regression. the world is a complicated place, and we can’t expect linear models to capture the wide

### ORACLE SQL row Functions Numeric Functions and Parameters

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oracle sql row functions the following tables list the most commonly used oracle built-in functions these functions can be used in either of the following: 1. select clause of a select statement 2. where clause of any statement (select, update, delete) 3. constraint clause where creating or altering a

### On the differential equivalence of APN functions - Cryptology

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on the diﬀerential equivalence of apn functions∗ anastasiya gorodilova sobolev institute of mathematics, novosibirsk, russia novosibirsk state university, novosibirsk, russia e-mail: [email protected] abstract. c. carlet, p. charpin, v. zinoviev in 1998 deﬁned the associated boolean function γf (a, b) in 2n variables for a given vectorial boolean function f from

### Types of Functions Algebraic Functions

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math 1170 chapter 1 worksheet #1 name note: it i bolded and underlined a term, you are responsible for a verbadom deﬁnition of that term (as well as understanding that deﬁnition). if i just bolded a term, i only expect that you are comfortable with the use of

### Weighted spaces of harmonic and holomorphic functions

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proceedings of the edinburgh mathematical society (1997) 40, 41-62 © weighted spaces of harmonic and holomorphic functions: sequence space representations and projective descriptions by paivi mattila, eero saksman and jari taskinen (received 24th november 1994) we study the structure of inductive limits of weighted spaces of harmonic and holomorphic functions

### 1 Continuous extensions of submodular functions

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math 233b: polyhedral techniques in combinatorial optimization instructor: jan vondr´ak lecture date: 3/7/2017 1 continuous extensions of submodular functions submodular functions are functions assigning values to all subsets of a ﬁnite set n . equivalently, we can regard them as functions on the boolean hypercube, f : {0, 1}n →

### MOCK THETA FUNCTIONS, RANKS, AND MAASS FORMS Introduction

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mock theta functions, ranks, and maass forms ken ono 1. introduction generating functions play a central role throughout number theory. for example in the theory of partitions, if p(n) denotes the number of partitions of an integer n, then euler observed that ∞ ∞

### Number theoretic properties of generating functions related

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number theoretic properties of generating functions related to dyson’s rank for partitions into distinct parts maria monks [email protected] september 1, 2008 abstract let q(n) denote the number of partitions of n into distinct parts. we show that dyson’s rank provides a combinatorial interpretation of the well-known fact that q(n)