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Chaos theory (or chaology [1]) is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. These were once thought to have completely random states of disorder and irregularities. [2]
Three examples of Turing patterns Six stable states from Turing equations, the last one forms Turing patterns. The Turing pattern is a concept introduced by English mathematician Alan Turing in a 1952 paper titled "The Chemical Basis of Morphogenesis" which describes how patterns in nature, such as stripes and spots, can arise naturally and autonomously from a homogeneous, uniform state.
Complex eigenvalues of an arbitrary map (dots). In case of the Hopf bifurcation, two complex conjugate eigenvalues cross the imaginary axis. In the mathematical theory of bifurcations, a Hopf bifurcation is a critical point where, as a parameter changes, a system's stability switches and a periodic solution arises. [1]
In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation , for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature ...
The American Association of Health Education (AAHE) is the oldest health education membership organization in the United States. [34] It was established in 1937 to serve and assist health education professionals and it is one of six organizations that comprise the American Alliance for Health, Physical Education, Recreation, and Dance. [34]
An 18-year-old was arrested in connection to the fatal shooting of a man last month who was reportedly trying to sell his PlayStation 5. On Nov. 24, officers with the Houston Police Department ...
Racism in education has decreased significantly over the past century, however this does not help increase the income for black people, and increased incomes do not provide better health opportunities, especially for mothers and infants. [114] Higher education and income levels for black mothers does not affect this mortality rate.
Team USA swimmers Abbey Weitzeil and Torri Huske went to get "the famous, infamous, chocolate muffins" and documented their experience on Weitzeil's TikTok account. "On first look, glance or ...