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Numerical solutions to differential and integral equations have been a very active field of research. The necessary tools to solving differential equations can add much fuel for acceleration of scientific development.
Hajra Zeb +3 more
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Geometric rank of tensors and subrank of matrix multiplication
Geometric rank of tensors and subrank of matrix multiplication, Discrete Analysis 2023:1, 25 pp. The rank of a matrix is a parameter of obvious importance, so it is natural to wonder what the right definition is for the rank of a higher-dimensional ...
Swastik Kopparty +2 more
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Structure vs Randomness for Bilinear Maps
Structure vs randomness for bilinear maps, Discrete Analysis 2022:12, 21 pp. A _tensor_ can be thought of as a higher-dimensional analogue of a matrix (where a matrix is 2-dimensional).
Guy Moshkovitz, Alex Cohen
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Methods that link different models for investigating the retrieval of canopy biophysical/structural variables have been substantially adopted in the remote sensing community.
Xiaoning Zhang +9 more
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On the existence of Levi Foliations
Let L be a real 3 dimensional analytic variety. For each regular point p L there exists a unique complex line l p on the space tangent to L at p. When the field of complex line p l p is completely integrable, we say that L is Levi variety.
RENATA N. OSTWALD
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Parametric Expansions of an Algebraic Variety Near Its Singularities II
The paper is a continuation and completion of the paper Bruno, A.D.; Azimov, A.A. Parametric Expansions of an Algebraic Variety Near Its Singularities.
Alexander D. Bruno, Alijon A. Azimov
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The Weil correspondence and universal special geometry
The Weil correspondence states that the datum of a Seiberg-Witten differential is equivalent to an algebraic group extension of the integrable system associated to the Seiberg-Witten geometry. Remarkably this group extension represents quantum consistent
Sergio Cecotti
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Background The study of optical pulse propagation through nonlinear media plays a fundamental role in the development of modern fiber-optic communication systems.
Amany Tarek +3 more
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Appell-Lauricella hypergeometric functions over finite fields and algebraic varieties [PDF]
A. Nakagawa
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Orthogonal involutions on central simple algebras and function fields of\n Severi-Brauer varieties [PDF]
Anne Quéguiner-Mathieu +1 more
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