Hasil untuk "math.AT"

Ugur Duran, Mehmet Acikgoz

We first review and analyze the golden integral and its definitions and some properties. Then we introduce a new generalization of the Hermite polynomials via the golden exponential function (called Fibonacci-Hermite polynomials) and investigate several properties and relations. We derive some explicit and implicit summation formulas for mentioned polynomials. Then, we analyze derivative properties and provide a higher-order difference equation of the Fibonacci-Hermite polynomials. Moreover, we examine a recurrence relation and integral representation. In addition, we obtain some properties of Fibonacci-Bernstein polynomials. Lastly, we obtain a correlation between the Fibonacci-Hermite polynomials and the Fibonacci-Bernstein polynomials

Marko Pesovic

For a hypergraphic polytope there is a weighted quasisymmetric function which enumerates positive integer points in its normal fan and determines its f-polynomial. This quasisymmetric function invariant of hypergraphs extends the Stanley chromatic symmetric function of simple graphs. We consider a certain combinatorial Hopf algebra of hypergraphs and show that universal morphism to quasisymmetric functions coincides with this enumerator function. We calculate the f-polynomial of uniform hypergraphic polytopes.

Goran Kilibarda

We consider the problem of searching labyrinths by colletives of independent automata and show that for such colletives it is possible to construct, by using reduction of automata, traps of various types even in the class of all finite mosaic labyrinths.

Goran Kilibarda

It is shown that every automaton acceptable for rectangular labyrinths can be reduced to an automaton that behaves according to either the left-hand rule or the right-hand rule, or does not move at all, in every plane rectangular labyrinth without leaves. This enables us to approach certain fundamental problems of the theory of automata in labyrinths in a quite different way.

Matthew Gerhard

Nurettin Irmak, Murat Alp

We introduce a novel fourth order linear recurrence sequence {Sn} using the two periodic binary recurrence. We call it ?pellans sequence? and then we solve the system ab+1=Sx, ac+1=Sy bc+1=Sz where a < b < c are positive integers. Therefore, we extend the order of recurrence sequence for this variant diophantine equations by means of pellans sequence.

N.H. Bingham

We survey scaling arguments, both asymptotic (involving regular variation) and exact (involving self-similarity), in various areas of mathematical analysis and mathematical physics.

Ioan Gavrea, Mircea Ivan

We obtain a new recurrence formula for sequences of divided differences. In a particular case, the recurrence formula simplifies the classical Newton-Girard identities relating power sums and elementary symmetric polynomials.

Waldo Arriagada, Hugo Ramírez

We determine the center C(K[x;?]) of the ring of skew polynomials K[x;?], where K is a field and ? is a non-zero derivation over K. We prove that C(K[x;?]) = ker ?, if ? is transcendental over K. On the contrary, if ? is algebraic over K, then C(K[x;?])=(ker ?)[?(x)]. The term ?(x) is the minimal polynomial of ? over K.

Marko Kostic

The study of ill-posed abstract Volterra equations is a recent subject. In this paper, we investigate equations on the line, continue the research of (a, k)-regularized C-resolvent families, subordination principles, abstract semilinear Volterra integrodifferential equations, and provide several illustrative examples.

Pratyay Debnath, Arabinda Konar

We study super quasi Einstein manifold and viscous fluid super quasi Einstein spacetime. The existence of super quasi Einstein manifold and viscous fluid super quasi Einstein spacetime are shown by two closely related examples. Also, some results involving super quasi Einstein manifold, pseudo quasi Einstein manifold and quasi Einstein manifold are established. Finally, the bounds of the cosmological constant in a viscous fluid super quasi Einstein spacetime are deduced.

Angelina Ilic-Stepic

We offer extended completeness theorem for probabilistic logic that combines higher-order probabilities (nesting of probability operators) and the qualitative probability operator.

Slavik Jablan, Ljiljana Radovic, Radmila Sazdanovic

We analyze adequacy of knots and links, utilizing Conway notation, Montesinos tangles and Linknot and KhoHo computer calculations. We introduce a numerical invariant called adequacy number, and compute adequacy polynomial which is the invariant of alternating link families. According to computational results, adequacy polynomial distinguishes (up to mutation) all families of alternating knots and links generated by links with at most 12 crossings.

Mirjana Lazic

In [3] and [4] A. Torgasev described all finite and infinite connected graphs having 3, 4 or 5 nonzero eigenvalues (not necessarily distinct). In the same papers he has given a general method how to describe all connected graphs with any fixed number of nonzero eigenvalues. In [2] M. Lepovic applying his method described all finite connected graphs which have exactly 6 nonzero eigenvalues. We here describe all finite connected graphs with exactly 7 nonzero eigenvalues.

Milutin Dostanic

We give, in the case of ellipse, a simple connection between the spectrum of the Kerzman-Stein operator and the eccentricity of the ellipse.

Kwang-Soon Park

Let M be a simply connected complete K?hler manifold and N a closed complete totally geodesic complex submanifold of M such that every minimal geodesic in N is minimal in M. Let U? be the unit normal bundle of N in M. We prove that if a distance function ? is differentiable at v ? U?, then ? is also differentiable at -v.

Zoran Ognjanovic, Nebojsa Ikodinovic

We investigate probability logic with the conditional probability operators This logic, denoted LCP, allows making statements such as: P?s?, CP?s(? | ?) CP?0(? | ?) with the intended meaning "the probability of ? is at least s" "the conditional probability of ? given ? is at least s", "the conditional probability of ? given ? at most 0". A possible-world approach is proposed to give semantics to such formulas. Every world of a given set of worlds is equipped with a probability space and conditional probability is derived in the usual way: P(? | ?) = P(?^?)/P(?), P(?) > 0, by the (unconditional) probability measure that is defined on an algebra of subsets of possible worlds. Infinitary axiomatic system for our logic which is sound and complete with respect to the mentioned class of models is given. Decidability of the presented logic is proved.

Sinisa Crvenkovic, Vladimir Tasic

Conditions are given for a class 2 nilpotent group to have no central extensions of class 3. This is related to Betti numbers and to the problem of representing a class 2 nilpotent group as the fundamental group of a smooth projective variety.

N.H. Bingham, Charles Goldie, Edward Omey

The convolution of regularly varying probability densities is proved asymptotic to their sum, and hence is also regularly varying. Extensions to rapid variation, O-regular variation, and other types of asymptotic decay are also given.

Mariela Morillas

Absolutely monotonic (?) function of order n are characterized in terms of n-dimensional totally increasing functions. Applications to n-copulas are presented.