Results 121 to 130 of about 46,429 (244)

Time Tools

open access: yesTopics in Cognitive Science, EarlyView.
Abstract Many core human activities require an understanding of time. To coordinate rituals, plan harvests and hunts, recall histories, keep appointments, and follow recipes, we need to grapple with invisible temporal structures like durations, sequences, and cycles. No other species seems to do this.
Kensy Cooperrider
wiley   +1 more source

Floquet stroboscopic divisibility in non-Markovian dynamics

open access: yesNew Journal of Physics, 2018
We provide a general description of a time-local master equation for a system coupled to a non-Markovian reservoir based on Floquet theory. This allows us to have a divisible dynamical map at discrete times, which we refer to as Floquet stroboscopic ...
Victor M Bastidas   +5 more
doaj   +1 more source

GENETIC SOURCES AND TECTONOPHYSICAL REGULARITIES OF DIVISIBILITY OF THE LITHOSPHERE INTO BLOCKS OF VARIOUS RANKS AT DIFFERENT STAGES OF ITS FORMATION: TECTONOPHYSICAL ANALYSIS

open access: yesГеодинамика и тектонофизика, 2015
The paper presents the first tectonophysical reconstruction of initial divisibility of the protolithosphere as a result of convection in the cooling primitive mantle. Initial division of the protolithosphere into separate masses, i.e.
Semen I. Sherman
doaj   +1 more source

The degree of an eight-dimensional real quadratic division algebra is 1, 3, or 5 [PDF]

open access: yesarXiv, 2009
A celebrated theorem of Hopf, Bott, Milnor, and Kervaire states that every finite-dimensional real division algebra has dimension 1, 2, 4, or 8. While the real division algebras of dimension 1 or 2 and the real quadratic division algebras of dimension 4 have been classified, the problem of classifying all 8-dimensional real quadratic division algebras ...
arxiv  

On the minimal period of integer tilings

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1160-1170, April 2025.
Abstract If a finite set A$A$ tiles the integers by translations, it also admits a tiling whose period M$M$ has the same prime factors as |A|$|A|$. We prove that the minimal period of such a tiling is bounded by exp(c(logD)2/loglogD)$\exp (c(\log D)^2/\log \log D)$, where D$D$ is the diameter of A$A$.
Izabella Łaba, Dmitrii Zakharov
wiley   +1 more source

Classification of the four-dimensional power-commutative real division algebras [PDF]

open access: yesarXiv, 2009
A classification of all four-dimensional power-commutative real division algebras is given. It is shown that every four-dimensional power-commutative real division algebra is an isotope of a particular kind of a quadratic division algebra. The description of such isotopes in dimension four and eight is reduced to the description of quadratic division
arxiv  

On completely multiplicative ±1$\pm 1$ sequences that omit many consecutive +1$+1$ values

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We say that ±1$\pm 1$‐valued completely multiplicative functions are length‐k$k$ functions f$f$ if they take the value +1$+1$ at at most k$k$ consecutive integers. We introduce a method to extend the length of f$f$ using the idea of the “rotation trick” in [7].
Yichen You
wiley   +1 more source

On Logical Extension of Algebraic Division [PDF]

open access: yesarXiv, 2011
Basic arithmetic is the cornerstone of mathematics and computer sciences. In arithmetic, 'division by zero' is an undefined operation and any attempt at extending logic for algebraic division to incorporate division by zero has resulted in paradoxes and fallacies.
arxiv  

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