Results 31 to 40 of about 728 (150)
The arithmetic Hodge-index theorem and rigidity of algebraic dynamical systems over function fields [PDF]
, 2019 In one of the fundamental results of Arakelov’s arithmetic intersection theory, Faltings and Hriljac (independently) proved the Hodge-index theorem for arithmetic surfaces by relating the intersection pairing to the negative of the Neron-Tate height ...
Carney, Alexander
core
A quantitative Chevalley-Weil theorem for curves [PDF]
, 2013 The classical Chevalley-Weil theorem asserts that for an étale covering of projective varieties over a number field $K$, the discriminant of the field of definition of the fiber over a $K$-rational point is uniformly bounded.
Surroca, Andrea +2 more
core +1 more source
A spectral analysis extension to DEMATEL for strategic leverage points identification
International Transactions in Operational Research, EarlyView.Abstract Efforts to intervene in complex systems often emphasize influential factors, yet system behavior is equally shaped by the relationships among them. Methods such as Decision‐Making Trial and Evaluation Laboratory (DEMATEL) map causal structures but remain descriptive and do not identify which relationships provide the greatest leverage for ...
Pavlos Delias, Kerasia Kalkitsa
wiley +1 more source
On tau functions for orthogonal polynomials and matrix models. [PDF]
, 2010 Let v be a real polynomial of even degree, and let \rho be the equilibrium probability measure for v with support S; to that v(x) greeater than or equal to \int 2log |x-y| \rho (dy) +C for some constant C with equality on S.
Gordon Blower, Blower, Gordon
core +1 more source
The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
School Science and Mathematics, EarlyView.ABSTRACT This study investigates the impact of problem‐posing on the mathematical proficiency and engagement of 56 Developmental Mathematics (DM) students enrolled in a noncredit college mathematics course. Using a quasi‐experimental design, one of two existing classes was selected as the experimental group and received a 5‐week intervention focused on
John Sevier +2 more
wiley +1 more source
Exploring 2D Geometric Shape Classification Using AI‐Driven Feature Tables in Mathematics
School Science and Mathematics, EarlyView.ABSTRACT This study explored the effectiveness of an AI‐integrated instructional task designed to enhance preservice teachers' understanding of the features and hierarchical relationships of 2D geometric shapes. Originally developed and tested in online K‐12 professional development settings, this intervention was adapted for in‐person preservice ...
Yasemin Gunpinar, Woonhee Sung
wiley +1 more source
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Arithmetic equivalence through Galois representations
, 2016 "An important objective in Algebraic number theory is the study of number fields and their ring Of algebraic integers. One of the crucial arithmetic invariants associated with a number field K is its Dedekind zeta function?
Caro Reyes, Jerson Leonardo
core +2 more sources
Grammatical structures in mathematics: a personal view
Teaching Statistics, Volume 48, Issue S1, Page S47-S52, Summer 2026.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