Results 11 to 20 of about 1,701 (164)
Abstract Over the past several decades, research in the cognitive sciences has foregrounded the importance of active bodies and their continuous dependence on the changing environment, strengthening the relevance of dynamical models. These models have been steadily developed within the ecological psychology approach to cognition, which arguably ...
Joanna Rączaszek‐Leonardi
wiley +1 more source
Simple 3‐Designs of PSL ( 2 , 2 n ) With Block Size 13
ABSTRACT This paper focuses on the investigation of simple 3‐ ( 2 n + 1 , 13 , λ ) designs admitting PSL ( 2 , 2 n ) as an automorphism group. Such designs arise from the orbits of 13‐element subsets under the action of PSL ( 2 , 2 n ) on the projective line X = GF ( 2 n ) ∪ { ∞ }, and any union of these orbits also forms a 3‐design.
Takara Kondo, Yuto Nogata
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Subsquares in Random Latin Squares and Rectangles
ABSTRACT A k×n $k\times n$ partial Latin rectangle is C‐sparse $C \mbox{-} \mathrm{sparse}$ if the number of nonempty entries in each row and column is at most C $C$ and each symbol is used at most C $C$ times. We prove that the probability a uniformly random k×n $k\times n$ Latin rectangle, where k<(1∕2−α)n $k\lt (1\unicode{x02215}2-\alpha )n ...
Alexander Divoux +3 more
wiley +1 more source
Polynomially oscillatory multipliers on Gelfand–Shilov spaces
Abstract We study continuity of the multiplier operator eiq$\text{e}^{\text{i} q}$ acting on Gelfand–Shilov spaces, where q$q$ is a polynomial on Rd$\mathbf {R}^{d}$ of degree at least two with real coefficients. In the parameter quadrant for the spaces, we identify a wedge that depends on the polynomial degree for which the operator is continuous.
Alexandre Arias Junior, Patrik Wahlberg
wiley +1 more source
Cluster‐Randomized Trials in Emergency Care Research
ABSTRACT Objective Cluster‐randomized trials (also called group‐randomized trials) are increasingly common in emergency care research. In such trials, groups of participants are allocated to different interventions based on naturally occurring “clusters,” such as clinics, hospitals, or emergency medical services agencies. In this methodological review,
Howard S. Kim +2 more
wiley +1 more source
A complex network perspective on brain disease
ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley +1 more source
The Role of Dice in the Emergence of the Probability Calculus
Summary The early development of the probability calculus was clearly influenced by the roll of dice. However, while dice have been cast since time immemorial, documented calculations on the frequency of various dice throws date back only to the mid‐13th century.
David R. Bellhouse, Christian Genest
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The Necessary Uniformity of Physical Probability
ABSTRACT According to contemporary consensus, physical probabilities may be “non‐uniform”: they need not correspond to a uniform measure over the space of physically possible worlds. Against consensus, I argue that only uniform probabilities connect robustly to long‐run frequencies.
Ezra Rubenstein
wiley +1 more source
The implications of generative artificial intelligence for mathematics education
Abstract Generative artificial intelligence has become prevalent in discussions of educational technology, particularly in the context of mathematics education. These AI models can engage in human‐like conversation and generate answers to complex questions in real‐time, with education reports accentuating their potential to make teachers' work more ...
Candace Walkington
wiley +1 more source
On stabilizers in finite permutation groups
Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
wiley +1 more source

