Lattice Points
Lattice points and simultaneous core partitions
... We apply lattice point techniques to the study of simultaneous core partitions. Our central observation is that for a and b relatively prime, the abacus construction identifies the set of simultaneous (a, b)-core ...
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ESTIMATION OF VOLUME USING THE NUCLEATOR AND LATTICE POINTS
... 1) Lattice points – for a given N we choose the generating vector (1,q), with 1 ≤ q ≤ N − 1, such that q,N are coprime and the resulting lattice has the smallest discrepancy among all possible such ...
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Estimates for lattice points of quadratic forms with integral coefficients modulo a prime number square (II)
... Estimates for lattice points of quadratic forms with integral coefficients modulo a prime number square II Ali H Hakami* *.. Correspondence: [email protected] Department of Mathemat[r] ...
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Estimates for lattice points of quadratic forms with integral coefficients modulo a prime number square
... 10.1186/1029-242X-2014-290 Cite this article as: Hakami: Estimates for lattice points of quadratic forms with integral coefficients modulo a prime number square.[r] ...
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On the Minimum of a Positive Definite Quadratic Form over Non--Zero Lattice points. Theory and Applications
... The initial motivation of this work was to address a fundamental problem that emerged very recently in Information Theory. The latter is related to a new model of communication channel (the so called Integer–Forcing ...
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Lattice Points Of A Cubic Diophantine Equation 11(X+Y)^2= 4(Xy+11z^3)
... Kannan, K.Raja, “Families of Solutions of a Cubic Diophantine Equation”, International Journal for Research in Applied Science and Engineering Technology, Vol.. 1800 ©IJRASET: All Rights[r] ...
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Infinite products over visible lattice points
... Future work on vpv identities may involve lattice sums of chemistry as presented in Glasser and Zucker [15], applications to the theory of partitions, or some of the vpv work may find ap[r] ...
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The lower bound for the volume of a three-dimensional convex polytope
... called lattice points of R n , and a polytope is said to be integral if all its vertices are lattice ...of lattice points in ...
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Dirichlet summations and products over primes
... Arithmetic functions, Dirichlet series and other series expansions, Convergence and divergence of infinite products, Combinatorial number theory, Lattice points in specified regions, Rie[r] ...
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3D QSAR and Pharmacophore Modelling of Selected Benzimidazole Derivatives as Factor IXa Inhibitors
... field points represented in green lattice at S_267 and S_355 involve that the steric interaction at these lattice points are important in bioactivity of molecules and these are required to be ...
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A new class of infinite products, and Euler's totient
... Combinatorial identities, partitions, arithmetic functions, convergence and divergence of infinite products, lattice points in large regions, applications of sieve methods, combinatorial[r] ...
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Infinite products over hyperpyramid lattices
... Abstract. New infinite product identities are given, based on summed visible (from the origin) point vectors. Each result is found from summing on vpv lattices dividing space into radial regions from the origin. Recently, ...
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X-Doped Graphene Interaction with Anodic Materiallibs
... The carbona does such as graphite are layered materials composed of hexagonal lattices sheets; graphite 1,2 is including of carbon atoms at all direction in the lattice points, while th[r] ...
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On the protein folding problem in 2D-triangular lattices
... (or lattice) is the total number of points along the D ...the lattice points such that each point in it has at least two neigh- bours from within ...those lattice points that ...
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Elementary notions of lattice trigonometry
... ordinary lattice irrational angle ∠ AOB by ...all lattice points of the cone C(AOB) except the origin is homeomorphic to the straight ...A lattice point of the sail is said to be a vertex of ...
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Lattice methods for finding rational points on varieties over number fields
... rational points on a variety V ...enumerate points in the Z ...all lattice vectors correspond to rational points so we will need to check lattice points to see whether they ...
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Reflexive polytopes of higher index and the number 12
... convex lattice polygon with no interior lattice points other than the origin), it is actually quite challenging to find examples of higher ...
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Vol 3, No 6 (2012)
... about lattice theory (Birkhoff [8]), propose an extension lattice, and investigate its ...a lattice if it is enclosed under operations ∧ and ∨ and satisfies, for any elements x, y, z, in L: (L1) the ...
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Realcompactification and repleteness of Wallman spaces
... The extension of bounded lattice continuous functions on an arbitrary set x to the regular zero-one measures on an algebra generated by a lattice a Wallman-type space.. set of lattice.[r] ...
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The fixed set of a derivation in lattices
... In [], Xin et al. introduced the concept of derivation in a lattice and investigated some properties. They gave some equivalent conditions, under which a derivation is isotone for lattices with a greatest ...
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