Results 21 to 30 of about 728 (150)
Journal of Combinatorial Designs, EarlyView.ABSTRACT Capsets are subsets of F 3 n ${{\mathbb{F}}}_{3}^{n}$ with no three points on a line, and a capset is complete if it is not a subset of a larger capset. We study some new constructions of capsets via algebraic equations over extensions of F 3 ${{\mathbb{F}}}_{3}$.
Cassie Grace, José Felipe Voloch
wiley +1 more source
, 2012 In this invited talk,1 we introduce the notion of arithmetic codex, or codex for short. It encompasses several well-established notions from cryptography (arithmetic secret sharing schemes, which enjoy additive as well as multiplicative properties) and ...
Xing, C. (Chaoping) +8 more
core +1 more source
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, EarlyView.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Quantification of the creatine kinase (CK) forward reaction rate (kf) in the human heart using phosphorus magnetic resonance spectroscopy is clinically important; however, it is limited by long acquisition times, operator subjectivity in analysis, and potential skeletal muscle contamination.
Aaron Axford +8 more
wiley +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose This study revisits the tetrahedral encoding strategy originally proposed to accelerate Diffusion Tensor Magnetic Resonance Imaging (DT‐MRI) by reducing the requisite number of diffusion‐weighted measurements to four. We examine its practical limitations and explore how artificial intelligence (AI) can extend its utility. Specifically,
Joshua Mawuli Ametepe +4 more
wiley +1 more source
Preperiodic points for rational functions defined over a rational function field of characteristic zero [PDF]
, 2015 Let k be an algebraically closed field of characteristic zero. Let K be the rational function field K=k(t). Let ϕ be a nonisotrivial rational function in K(z).
Canci, Jung Kyu
core
On the Fontaine–Mazur Conjecture for Number Fields and an Analogue for Function Fields
, 2000 The Fontaine–Mazur Conjecture for number fields predicts that infinite ℓ-adic analytic groups cannot occur as the Galois groups of unramified ℓ-extensions of number fields.
Holden, James F., Holden, Joshua Brandon
core +1 more source
An Innovative Approach to Multi‐Valued Logic
IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
wiley +1 more source
British Journal of Developmental Psychology, EarlyView.Abstract Acquiring mathematical competence is essential to independent living. In this study, we investigated the mathematics profile in young people with Down syndrome (DS), and the relations between foundational and more complex mathematics skills.
Su Morris +2 more
wiley +1 more source
British Journal of Educational Psychology, EarlyView.Abstract Background Conceptual and procedural knowledge are two distinct types of mathematical knowledge. Measuring them with sufficient discriminant validity is challenging because they are typically highly correlated. Prior studies have demonstrated discriminant validity of paper‐and‐pencil measures separately for fractions and algebra.
Michael D'Erchie +3 more
wiley +1 more source