Results 21 to 30 of about 2,049,523 (298)
Multiplicity of the saturated special fiber ring of height two perfect ideals [PDF]
Let $R$ be a polynomial ring and $I \subset R$ be a perfect ideal of height two minimally generated by forms of the same degree. We provide a formula for the multiplicity of the saturated special fiber ring of $I$. Interestingly, this formula is equal to
Cid-Ruiz, Yairon
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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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Non Uniform Projections of Surfaces in $\mathbb{P}^3$ [PDF]
Consider the projection of a smooth irreducible surface in $\mathbb{P}^3$ from a point. The uniform position principle implies that the monodromy group of such a projection from a general point in $\mathbb{P}^3$ is the whole symmetric group. We will call
Cuzzucoli, Alice +2 more
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A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity [PDF]
In this paper, we deal with the following fractional Kirchhoff equation [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] is a small positive parameter and [Formula: see text] is an odd function ...
V. Ambrosio, Teresa Isernia
semanticscholar +1 more source
Mathematics of Multiple Sclerosis Theory
Autoimmune nerve conditions involve the abnormal behavior of the immune system attacking parts of the body’s own tissues, instead of protecting it from dangerous invaders such as viruses and bacteria. Multiple sclerosis (MS) is an autoimmune nerve condition which affects the central nervous system and can cause a range of disabling symptoms from speech
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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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Some remarks on multiplicity codes
Multiplicity codes are algebraic error-correcting codes generalizing classical polynomial evaluation codes, and are based on evaluating polynomials and their derivatives.
Kopparty, Swastik
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The Fate of the Landau Levels under Perturbations of Constant Sign
We show that the Landau levels cease to be eigenvalues if we perturb the 2D Schr\"odinger operator with constant magnetic field, by bounded electric potentials of fixed sign.
Klopp, Frédéric, Raikov, Georgi
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Multiplicity of negative-energy solutions for singular-superlinear Schrödinger equations with indefinite-sign potential [PDF]
We are concerned with the multiplicity of positive solutions for the singular superlinear and subcritical Schrödinger equation [Formula: see text] beyond the Nehari extremal value, as defined in [Y.
C. Santos, R. Lima, K. Silva
semanticscholar +1 more source
A Mathematical Analysis of Multiple-Target Selex
SELEX (Systematic Evolution of Ligands by Exponential Enrichment) is a procedure by which a mixture of nucleic acids can be fractionated with the goal of identifying those with specific biochemical activities. One combines the mixture with a specific target molecule and then separates the target-NA complex from the resulting reactions.
Yeon-Jung Seo +3 more
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