What does ergotic mean?
Definitions for ergotic
er·got·ic
This dictionary definitions page includes all the possible meanings, example usage and translations of the word ergotic.
Princeton's WordNet
ergoticadjective
relating to or produced by ergot
Wiktionary
ergoticadjective
Pertaining to, or derived from, ergot.
Wikipedia
ergotic
In mathematics, ergodicity expresses the idea that a point of a moving system, either a dynamical system or a stochastic process, will eventually visit all parts of the space that the system moves in, in a uniform and random sense. This implies that the average behavior of the system can be deduced from the trajectory of a "typical" point. Equivalently, a sufficiently large collection of random samples from a process can represent the average statistical properties of the entire process. Ergodicity is a property of the system; it is a statement that the system cannot be reduced or factored into smaller components. Ergodic theory is the study of systems possessing ergodicity. Ergodic systems occur in a broad range of systems in physics and in geometry. This can be roughly understood to be due to a common phenomenon: the motion of particles, that is, geodesics on a hyperbolic manifold are divergent; when that manifold is compact, that is, of finite size, those orbits return to the same general area, eventually filling the entire space. Ergodic systems capture the common-sense, every-day notions of randomness, such that smoke might come to fill all of a smoke-filled room, or that a block of metal might eventually come to have the same temperature throughout, or that flips of a fair coin may come up heads and tails half the time. A stronger concept than ergodicity is that of mixing, which aims to mathematically describe the common-sense notions of mixing, such as mixing drinks or mixing cooking ingredients. The proper mathematical formulation of ergodicity is founded on the formal definitions of measure theory and dynamical systems, and rather specifically on the notion of a measure-preserving dynamical system. The origins of ergodicity lie in statistical physics, where Ludwig Boltzmann formulated the ergodic hypothesis.
ChatGPT
ergotic
Ergodic is a term used in mathematics, specifically in the field of statistics and probability theory, to describe a stationary process where all portions of a space are eventually covered over time. An ergodic process means that every sequence or set of points is visited with a probability of one, and the average value taken by a variable provides an accurate depiction of its overall behavior. This concept is often applied in the study of dynamical systems and information theory.
Webster Dictionary
Ergoticadjective
pertaining to, or derived from, ergot; as, ergotic acid
Numerology
Chaldean Numerology
The numerical value of ergotic in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of ergotic in Pythagorean Numerology is: 5
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"ergotic." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/ergotic>.
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