Results 61 to 70 of about 738 (156)
Grammatical structures in mathematics: a personal view
Abstract The ability to read, write, and speak mathematics is critical to students becoming comfortable with statistical models and skills. Faster development of those skills may act as encouragement to further engage with the discipline. Vocabulary has been the focus of scholarship in existing literature on the linguistics of mathematics and ...
Tess O'Brien
wiley +1 more source
On the Hodge conjecture for products of certain surfaces [PDF]
In this thesis we prove the Hodge conjecture for products of smooth projective surfaces S(_1) x S(_2), where S(_2) = A is an Abelian surface and S (_1) is such that P(_g)(S(_1)) = 1, q = 2.
J. Ramón Marí, José +1 more
core
Higher representation stability for ordered configuration spaces
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
ABSTRACT This paper presents MusicoCrypt, a context‐bound music‐modulated stream‐encryption framework that incorporates audio‐derived public side information into a pseudorandom‐function‐centered encryption workflow. A shared reference recording is processed using a pitch‐tracking pipeline, and ordered note pairs are encoded as residues in ℤ132 ...
Cilen Gulsum Turan +2 more
wiley +1 more source
Weak, Strong and Mixed Extensions of Relations to Spaces of Ultrafilters
ABSTRACT The use of nonstandard methods to characterize properties of weak, strong and mixed extensions of congruences to ultrafilters has been the main topic of several recent papers, focused mostly on congruences and divisions. We show that similar methods can be used to extend these characterizations to arbitrary relations and their interplay.
Leonardo Raffaello Maximilian Gasparro +1 more
wiley +1 more source
A note on some Picard curves over finite fields [PDF]
In this note we provide a complete classification for the Newton polygon of the Picard curvesy3=x4-xandy3=x4-1 defined over a finite field of characteristic p>3. In fact, we complete the results obtained in [19].
Tafazolian, Saeed, Kazemifard, Ahmad
core +1 more source
Efficient Tensor Completion Algorithms for Highly Oscillatory Operators
ABSTRACT We address the problem of recovering highly oscillatory operators, represented as n×n$$ n\times n $$ matrices with a fixed set of observed entries. Given that these matrices can be well compressed by butterfly matrix decomposition of L=𝒪(logn) levels requiring only O(nlogn)$$ O\left(n\log n\right) $$ degrees of freedom, we propose a novel ...
Navjot Singh +3 more
wiley +1 more source
Bidiagonal Decompositions and High‐Accuracy Computations for Newton Collocation Matrices
ABSTRACT We consider a class of collocation matrices A$$ A $$ associated with the Newton basis of the space of polynomials of degree at most n$$ n $$, evaluated at a set of l+1≥n+1$$ l+1\ge n+1 $$ nodes. In the most general setting, we allow n$$ n $$ of these nodes to either coincide with or differ from those defining the Newton basis.
E. Mainar, A. Marco, B. Rubio, R. Viaña
wiley +1 more source
Some cases of Vojta's conjecture for integral points over function fields [PDF]
In the present paper we solve, in particular, the function field version of a special case of Vojta's conjecture for integral points, namely for the variety obtained by removing a conic and two lines from the projective plane.
Umberto Zannier +3 more
core +1 more source

