Results 41 to 50 of about 161,269 (289)
Boundary values as Hamiltonian variables. I. New Poisson brackets [PDF]
, 1993 The ordinary Poisson brackets in field theory do not fulfil the Jacobi identity if boundary values are not reasonably fixed by special boundary conditions. We show that these brackets can be modified by adding some surface terms to lift this restriction.
Arkadiev V. A. +5 more
core +2 more sources
Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions
Axioms, 2023 In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.
Kristina Krulić Himmelreich +3 more
doaj +1 more source
A versatile Montgomery multiplier architecture with characteristic three support [PDF]
, 2008 We present a novel unified core design which is extended to realize Montgomery multiplication in the fields GF(2n), GF(3m), and GF(p). Our unified design supports RSA and elliptic curve schemes, as well as the identity-based encryption which requires a ...
Ozturk, Erdinc +4 more
core +2 more sources
Geometric Mechanics, Stability and Control [PDF]
, 1994 This paper gives an overview of selected topics in mechanics and their relation to questions of stability, control and stabilization. The mechanical connection, whose holonomy gives phases and that plays an important role in block diagonalization ...
Marsden, Jerrold E.
core +1 more source
Efficient Unified Arithmetic for Hardware Cryptography [PDF]
, 2008 The basic arithmetic operations (i.e. addition, multiplication, and inversion) in finite fields, GF(q), where q = pk and p is a prime integer, have several applications in cryptography, such as RSA algorithm, Diffie-Hellman key exchange algorithm [1 ...
Koc, Cetin Kaya +3 more
core +2 more sources
Primitive points in rational polygons [PDF]
, 2019 Let $\mathcal A$ be a star-shaped polygon in the plane, with rational vertices, containing the origin. The number of primitive lattice points in the dilate $t\mathcal A$ is asymptotically $\frac6{\pi^2}$ Area$(t\mathcal A)$ as $t\to \infty$. We show that
Bárány, Imre +3 more
core +2 more sources
Ostrowski Type Inequalities for s-Convex Functions via q-Integrals
Journal of Function Spaces, 2022 The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings.
Khuram Ali Khan +4 more
doaj +1 more source
Sard Property for the endpoint map on some Carnot groups [PDF]
, 2015 In Carnot-Caratheodory or sub-Riemannian geometry, one of the major open problems is whether the conclusions of Sard's theorem holds for the endpoint map, a canonical map from an infinite-dimensional path space to the underlying finite-dimensional ...
Donne, Enrico Le +4 more
core +3 more sources
Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations
Journal of Function Spaces, 2018 We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type ...
Muhammad Adil Khan +4 more
doaj +1 more source
Montgomery's identities for function of two variables
Journal of Mathematical Analysis and Applications, 2007 We point out weighted Montgomery's identities for function of two variables and apply them to give a new inequalities of the Ostrowski type for mappings of two independent variables and of the Gr\"{; ; ; ; ; ; u}; ; ; ; ; ; ss type inequalities for double weighted integrals.
Vukelić, Ana, Pečarić, Josip
openaire +5 more sources