By S. Zaidman
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Extra info for Almost-periodic Functions in Abstract Spaces (Research Notes Inmathematics Series)
It is that ergodic3 physical systems when isolated should be determined by laws of probability and be most likely to exist in maximum probability states. So, in the current understanding, a system may of its own accord go into other states besides a maximum probability state, but the maximum probability state is substantially more likely in complex physical systems with many particles such as ideal gases. 00002-7 Ó 2014 Elsevier Inc. All rights reserved. 27 j 28 Calculus of Thought probable state is maximum entropy.
A system with greater entropy has more possible arrangements, so with greater entropy there is less information or more uncertainty in the actual arrangement. 2) j¼1 where p( j) is the probability of an event across C possible outcome categories. So, in the case of a coin flip, C would be equal to 2 as these are just two possible outcomes. 5 for each of these two possible outcomes where the sum is constrained to equal 1. 693. 9 or vice versa in biased coins. 693 when p(heads) differs from p(tails).
But unlike stepwise regression’s unstable and arbitrary feature selection, the brain’s sparse explicit memory features are stable and meaningful. Humans with at least average cognitive ability can usually agree on the important defining elements in recent shared episodic experiences that occur over more than a very brief period of time44 or in shared semantic memories such as basic important facts about the world taught in school. Episodic memory involves the conscious recollection of one or more events or episodes often in a causal chain, as when we remember the parsimonious temporal sequence of steps in a recent experience like if we just changed an automobile tire.
Almost-periodic Functions in Abstract Spaces (Research Notes Inmathematics Series) by S. Zaidman