In 1994, Y. Mansour conjectured that for every DNF formula on n variables with t terms there exists a polynomial p with t non-zero coefficients such that Ex∈{0,1} [(p(x) − f(x))] ≤ ǫ. We make the first progress on this conjecture and show that it is true for randomly chosen DNF formulas and read-once DNF formulas. Our result yields the first polynomial-time query algorithm for agnostically lear...

Inversion sequences of length n, In, are integer sequences (e1, . . . , en) with 0 ≤ ei < i for each i. The study of patterns in inversion sequences was initiated recently by Mansour-Shattuck and Corteel-Martinez-Savage-Weselcouch through a systematic study of inversion sequences avoiding words of length 3. We continue this investigation by reframing the notion of a length-3 pattern from a “wor...

We study a revenue maximization problem in the context of social networks. Namely, we generalize model introduced by Alon, Mansour, and Tennenholtz [2] that captures inequity aversion, i.e., it fact prices offered to neighboring nodes should not differ significantly. first provide approximation algorithms for natural class instances, where total is sum single-value functions. Our results improv...

Imam Abu Mansur Maturidi رضى الله تعالى عنہ was a “ Theologist ” who the student of Mohammadرضى after only two chains, So therefore he also pupil Grand Imam, e Azam Hanifa three chains. His followers are called in matters Theology (As science beliefs). major works field Theology, especially his book named “Kitab ul Towheed” is well known. deep study and research have presented about Allah’s Att...

Inversion sequences are finite of non-negative integers, where the value each entry is bounded from above by its position. They provide a useful encoding permutations. Patterns in inversion have been studied Corteel–Martinez–Savage–Weselcouch and Mansour–Shattuck classical case, patterns can occur any positions, Auli–Elizalde consecutive only adjacent entries form an occurrence pattern. These p...

We present a forgery attack on Prøst-OTR in a related-key setting. Prøst is a family of authenticated encryption algorithms proposed as candidates in the currently ongoing CAESAR competition, and Prøst-OTR is one of the three variants of the Prøst design. The attack exploits how the Prøst permutation is used in an Even-Mansour construction in the Feistel-based OTR mode of operation. Given the c...

Let N be the set of all positive integers and let A be any ordered subset of N. Recently, Heubach and Mansour enumerated the number of compositions of n with m parts in A that contain the subword τ exactly r times, where τ ∈ {111, 112, 221, 123}. Out aims are (1) to generalize the above results, i.e., to enumerate the number of compositions of n with m parts in A that contain an l-letter subwor...

Bethe-Salpeter equation in the non-commutative space for a scalarscalar bound state is considered. It is shown that in the non-relativistic limit, the effect of spatial non-commutativity appears as if there exist a magnetic dipole moment coupled to each particle. e-mail: [email protected] e-mail: [email protected] Non-commutativity of space-time has been recently a subject of intense ...

Plant location selection is a multi-criteria decision problem and has a strategic importance for many companies. The aim of this study is to propose a fuzzy approach for Plant location selection. This paper is based on a fuzzy VIKOR (Serbian: Vlsekriterijumsko Kompromisno Rangiranje) method. In this method, the ratings of various alternatives versus various subjective criteria and the weights o...

In this paper, the problem of determining the optimum number and locations of banking automatic teller machines (ATMs) is considered. The objective is to minimize the total number of ATMs to cover all customer demands within a given geographical area. First, a mathematical model of this optimization problem is formulated. A novel heuristic algorithm with unique features is then developed to eff...