What does dynamical mean?
Definitions for dynamical
dy·nam·i·cal
This dictionary definitions page includes all the possible meanings, example usage and translations of the word dynamical.
Princeton's WordNet
dynamic, dynamicaladjective
characterized by action or forcefulness or force of personality
"a dynamic market"; "a dynamic speaker"; "the dynamic president of the firm"
Wiktionary
dynamicaladjective
dynamic
Wikipedia
dynamical
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, the random motion of particles in the air, and the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured. Time can be measured by integers, by real or complex numbers or can be a more general algebraic object, losing the memory of its physical origin, and the space may be a manifold or simply a set, without the need of a smooth space-time structure defined on it. At any given time, a dynamical system has a state representing a point in an appropriate state space. This state is often given by a tuple of real numbers or by a vector in a geometrical manifold. The evolution rule of the dynamical system is a function that describes what future states follow from the current state. Often the function is deterministic, that is, for a given time interval only one future state follows from the current state. However, some systems are stochastic, in that random events also affect the evolution of the state variables. In physics, a dynamical system is described as a "particle or ensemble of particles whose state varies over time and thus obeys differential equations involving time derivatives". In order to make a prediction about the system's future behavior, an analytical solution of such equations or their integration over time through computer simulation is realized. The study of dynamical systems is the focus of dynamical systems theory, which has applications to a wide variety of fields such as mathematics, physics, biology, chemistry, engineering, economics, history, and medicine. Dynamical systems are a fundamental part of chaos theory, logistic map dynamics, bifurcation theory, the self-assembly and self-organization processes, and the edge of chaos concept.
ChatGPT
dynamical
Dynamical is an adjective that refers to anything related to or characterized by energy or effective action, particularly pertaining to the physical sciences such as physics and engineering. It often refers to processes involving motion, force, and energy transformations, the principles of dynamics, or the scientific study of these processes, often in terms of mathematical models called dynamical systems.
Webster Dictionary
Dynamicaladjective
of or pertaining to dynamics; belonging to energy or power; characterized by energy or production of force
Dynamicaladjective
relating to physical forces, effects, or laws; as, dynamical geology
Etymology: [Gr. powerful, fr. power, fr. to be able; cf. L. durus hard, E. dure: cf. F. dynamique.]
Usage in printed sourcesFrom:
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Numerology
Chaldean Numerology
The numerical value of dynamical in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of dynamical in Pythagorean Numerology is: 1
Examples of dynamical in a Sentence
This discovery teaches us that there are still plenty of physical and dynamical processes out there in space that we do not know about, and that climates can be very different than that of Earth( despite forming a similar landscape), it is important to study Pluto and other planetary bodies because they are natural laboratories to explore and investigate the diversity of possible climates( and geology, and other planetary sciences) which gives us more perspective on our own climate.
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"dynamical." Definitions.net. STANDS4 LLC, 2024. Web. 22 Dec. 2024. <https://www.definitions.net/definition/dynamical>.
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