Results 241 to 250 of about 9,834 (320)

Function Art: Linking Mathematics, Technology, and Visual Arts

open access: yesSchool Science and Mathematics, EarlyView.
ABSTRACT This study investigated students' understanding of mathematical functions and strategies to create artwork using GeoGebra. It was framed by the principles of constructionism and examined how students use functions in creating artworks. We gathered data from students' artworks using the Algebra view and the Construction Protocol in the GeoGebra
Guillermo Bautista Jr   +5 more
wiley   +1 more source

Where Mathematical Symbols Come From

open access: yesTopics in Cognitive Science, EarlyView.
Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley   +1 more source

Some remarks about deformation theory and formality conjecture. [PDF]

open access: yesAnn Univ Ferrara Sez 7 Sci Mat
Chen H, Pertusi L, Zhao X.
europepmc   +1 more source

Parallel Architecture: From Problems and Mysteries to Solutions and Explanations

open access: yesTopics in Cognitive Science, EarlyView.
Abstract We argue that Jackendoff's Parallel Architecture (PA) is the right way to think about the architecture of the language faculty. The critical property of this architecture is that it allows for genuine explanation by allocating different aspects of linguistic phenomena to appropriate corresponding representations and capacities.
Peter W. Culicover, Giuseppe Varaschin
wiley   +1 more source

The birational geometry of GIT quotients

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley   +1 more source

Removing scalar curvature assumption for Ricci flow smoothing

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract In recent work of Chan–Huang–Lee, it is shown that if a manifold enjoys uniform bounds on (a) the negative part of the scalar curvature, (b) the local entropy, and (c) volume ratios up to a fixed scale, then there exists a Ricci flow for some definite time with estimates on the solution assuming that the local curvature concentration is small ...
Adam Martens
wiley   +1 more source

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