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A Note on the Nomenclature in Neutron Multiplicity Mathematics
The purpose of this technical note is to consolidate the notations used for describing parameters that pertain to neutron multiplicity mathematics relevant to various applications including nonproliferation, international safeguards, and criticality ...
Tony H. Shin +3 more
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Role of multiplicity in examination oriented teaching destroying mathematics quality education [PDF]
Today the teacher does not focus on knowledge oriented but on result oriented teaching of mathematics in which s(he) focuses on the probable topics that may be asked in mid and end term examinations, so that maximum students can get good grades. Feedback
Dharmendra Kumar Yadav +3 more
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Morse index of multiplicity one min-max minimal hypersurfaces [PDF]
In this paper, we prove that the Morse index of a multiplicity one, smooth, min-max minimal hypersurface is generically equal to the dimension of the homology class detected by the families used in the construction.
F. C. Marques, A. Neves
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New Ramsey Multiplicity Bounds and Search Heuristics [PDF]
We study two related problems concerning the number of homogeneous subsets of given size in graphs that go back to questions of Erdős. Most notably, we improve the upper bounds on the Ramsey multiplicity of $$K_4$$ K 4 and $$K_5$$ K 5 and ...
Olaf Parczyk +3 more
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A mathematical model of the multiple sclerosis plaque [PDF]
Multiple sclerosis is an autoimmune disease that affects white matter in the central nervous system. It is one of the primary causes of neurological disability among young people. Its characteristic pathological lesion is called a plaque, a zone of inflammatory activity and tissue destruction that expands radially outward by destroying the myelin and ...
Nicolae Moise, Avner Friedman
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The mathematics of multiple lockdowns [PDF]
AbstractWhile vaccination is the optimal response to an epidemic, recent events have obliged us to explore new strategies for containing worldwide epidemics, like lockdown strategies, where the contacts among the population are strongly reduced in order to slow down the propagation of the infection.
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A MATHEMATICAL REVIEW ON THE MULTIPLE-SOLUTION PROBLEM [PDF]
The recent multiple-solution problem in extracting physics information from a fit to the experimental data in high energy physics is reviewed from a mathematical viewpoint. All these multiple solutions were previously found via a fit process, while in this paper we prove that if the sum of two coherent Breit–Wigner functions is used to fit the ...
Peng Wang +3 more
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In this paper we give algorithms that allow to compute the set of every elementary numerical semigroups with given genus, Frobenius number and multiplicity. As a consequence we obtain formulas for the cardinality of these sets.
J. Rosales, M. Branco
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: In the present work we obtain the existence and multiplicity of nontrivial solutions for the Choquard logarithmic equation (−∆)pu+ |u| u+(ln | · |∗|u|)|u|u = f(u) in R , where N = sp, s ∈ (0, 1), p > 2, a > 0, λ > 0 and f : R → R a continuous ...
Eduardo de S. Böer +1 more
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On the Multiplicity One Conjecture in min-max theory [PDF]
We prove that in a closed manifold of dimension between 3 and 7 with a bumpy metric, the min-max minimal hypersurfaces associated with the volume spectrum introduced by Gromov, Guth, Marques-Neves, are two-sided and have multiplicity one. This confirms a
Xin Zhou
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