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Factorization in Formal Languages [PDF]
We consider several novel aspects of unique factorization in formal languages. We reprove the familiar fact that the set uf(L) of words having unique factorization into elements of L is regular if L is regular, and from this deduce an quadratic upper and
A Lempel+9 more
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What Can We Learn from Entanglement and Quantum Tomography?
Entanglement has become a hot topic in nuclear and particle physics, although many physicists are not sure they know what it means. We maintain that an era of understanding and using quantum mechanics on a dramatically new basis has arrived.
John P. Ralston
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The aim of this article is to present a procedure for the factorization and exact solution of boundary value problems for a class of n-th order linear Fredholm integro-differential equations with multipoint and integral boundary conditions.
Efthimios Providas+1 more
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Fast Matrix Factorization for Online Recommendation with Implicit Feedback [PDF]
This paper contributes improvements on both the effectiveness and efficiency of Matrix Factorization (MF) methods for implicit feedback. We highlight two critical issues of existing works.
Xiangnan He+3 more
semanticscholar +1 more source
On the Universal Encoding Optimality of Primes
The factorial-additive optimality of primes, i.e., that the sum of prime factors is always minimum, implies that prime numbers are a solution to an integer linear programming (ILP) encoding optimization problem. The summative optimality of primes follows
Ioannis N. M. Papadakis
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Cycle frames and the Oberwolfach problem
For an integer denotes a graph with uniform edge-multiplicity Let be a subset of positive integers. A 2-regular subgraph of -partite graph containing vertices of all but one partite set is called partial 2-factor, where denotes wreath product and is an ...
Shanmuga Vadivu Andiyappan+1 more
doaj +1 more source
On Transverse-Momentum Dependent Light-Cone Wave Functions of Light Mesons [PDF]
Transverse-momentum dependent (TMD) light-cone wave functions of a light meson are important ingredients in the TMD QCD factorization of exclusive processes.
Botts+35 more
core +5 more sources
The Biopsychosocial Factor [PDF]
medical practice; rather in significant part it is engaged in special interest advocacy, pursuing and preserving social power’ [ 5 , p. 11]. How could Engel and Holman identify the dangers of special interest groups, as they are sadly known these days [6] , in the 1970s is astonishing. Biomedical reductionism is the key to the success of pharmaceutical
FAVA, GIOVANNI ANDREA+3 more
openaire +6 more sources
Elementary theory of cubics and quartics
It is proved that cubic and quartic equations in real numbers can be solved elementarily, avoiding complex numbers and derivatives. Corresponding algorithms are presented.
Juozas Juvencijus Mačys
doaj +1 more source
A method of factoring and the factorization of 𝐹₇ [PDF]
The continued fraction method for factoring integers, which was introduced by D. H. Lehmer and R. E. Powers, is discussed along with its computer implementation. The power of the method is demonstrated by the factorization of the seventh Fermat number F 7 {F_7} and other large numbers of interest.
Michael A. Morrison, John Brillhart
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