Results 1 to 10 of about 157,057 (220)
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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Two Formulas for the BR Multiplicity [PDF]
We prove a projection formula, expressing a relative Buchsbaum--Rim multiplicity in terms of corresponding ones over a module-finite algebra of pure degree, generalizing an old formula for the ordinary (Samuel) multiplicity. Our proof is simple in spirit:
Kleiman, Steven L.
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Degeneracy and finiteness theorems for meromorphic mappings in several complex variables [PDF]
In this article, we prove that there are at most two meromorphic mappings of $\mathbb C^m$ into $\mathbb P^n(\mathbb C)\ (n\geqslant 2)$ sharing $2n+2$ hyperplanes in general position regardless of multiplicity, where all zeros with multiplicities more ...
Quang, Si Duc
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Mathematical and computational modeling in biology at multiple scales [PDF]
A variety of topics are reviewed in the area of mathematical and computational modeling in biology, covering the range of scales from populations of organisms to electrons in atoms. The use of maximum entropy as an inference tool in the fields of biology and drug discovery is discussed.
Cassandra D. M. Churchill+11 more
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The Continuous Spectrum in Discrete Series Branching Laws [PDF]
If $G$ is a reductive Lie group of Harish-Chandra class, $H$ is a symmetric subgroup, and $\pi$ is a discrete series representation of $G$, the authors give a condition on the pair $(G,H)$ which guarantees that the direct integral decomposition of $\pi ...
Harris, Benjamin+2 more
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Husserl and Hilbert on Completeness and Husserl\u27s Term Rewrite-based Theory of Multiplicity (Invited Talk) [PDF]
Hilbert and Husserl presented axiomatic arithmetic theories in different ways and proposed two different notions of \u27completeness\u27 for arithmetic, at the turning of the 20th Century (1900-1901).
Okada, Mitsuhiro
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Mathematics of gravitational lensing: multiple imaging and magnification [PDF]
The mathematical theory of gravitational lensing has revealed many generic and global properties. Beginning with multiple imaging, we review Morse-theoretic image counting formulas and lower bound results, and complex-algebraic upper bounds in the case of single and multiple lens planes.
M. C. Werner, Arlie O. Petters
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Learning to Leverage Children's Multiple Mathematical Knowledge Bases in Mathematics Instruction [PDF]
In this article, the authors explore prospective elementary teachers' engagement with and reflection on activities they conducted to learn about a single child from their practicum classroom. Through these activities, prospective teachers learned about their child's mathematical thinking and the interests, competencies, and resources she or he brought ...
Turner, Erin E.+6 more
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