A combinatorial interpretation of the probabilities of p-groups in the Cohen–Lenstra measure
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Nearly every movement made by every animal is accompanied by a corollary discharge, a signal sent from the motor to sensory regions of its brain. Corollary discharges are a crucial mechanism by which the brain monitors its own actions, and there is some evidence that they are impaired in people with schizophrenia. Here, I briefly review this evidence and suggest that eye movements are a particularly valuable tool for assessing the role of corollary discharges in schizophrenia.
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To prove the corollary first with the area formula for a triangle,then to prove the theorem with the corollary,it would make both the theorem and corollary proved strictly,so that the students understand and accept it easily.
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Housing construction is the basis of network construction,while housing corollary construction is a very important part in the housing construction.With a large number of housing construction,problems of housing corollary construction ability gradually arise.This research includes four parts:the first is to analyze the problems caused by sporadic corollary construction mode;Second,comples corollary construction mode is presented to overcome the courrent problems;Third,construction standard of complex pattern are proposed and two modes(sporadic corollary construction and complex corollary construction)are compared.;At last,combining with the situation of communication operators,mangement process of complex corollary construction mode is put forward.
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The jacking corollary equipment was introduced,it was discussed about how to check calculation jacking corollary equipment data accurately so as to enhance calculation precision of pressure gauge and sensor and complete jacking corollary equipment checking works,therefore made checking corollary equipment real effective.
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Abstract We prove an optimal Alexandrov–Bakelman–Pucci-type estimate for plurisubharmonic functions without assuming their continuity. This generalizes a result of Wang. As a corollary, we generalize an estimate from [15]. We also address a problem posed in [29].
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The paper contains a self-contained construction of m-generated free Burnside groups B(m, n) of exponent n, where m>1, n≥2 48 and n is either odd or divisible by 2 9 . As a corollary, one gets that the Burnside problem on the finiteness of finitely generated groups of exponent n is solved in the negative for almost all exponents.
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From the Conant-Ashby theorem about the "good regulator" is possible to derive a corollary about the origin of life (OOL). This corollary introduces the concept of "good constructor." Thenit is shown as nature, seen as a material system ruled by the laws of physics, cannot be a "good constructor" of the basic machinery necessary for a living cell. As a consequence OOL needs intelligent design.
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We prove an optimal Alexandrov-Bakelman-Pucci type estimate for plurisubharmonic functions without assuming their continuity. This generalizes a result of Y. Wang. As a corollary we generalize an estimate from \cite{DD18}. We also address a problem posed in \cite{Wan12}.
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We correct a mistake that appeared in the first section of the original article, which appeared in Tran. Amer. Math. Soc. 370 (2018), 99–130. Namely, Corollary 1.16 was false as stated and was subsequently used in later proofs in the paper. In this note it is argued that all the relevant statements after Corollary 1.16 can be saved with at most minor modifications. In particular, all the main results of the original paper remain valid as stated, but some intermediate claims are slightly modified or proved more directly without Corollary 1.16.
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Motivated by the question of computing the probability of successful power domination by placing k monitors uniformly at random, in this paper we give a recursive formula to count the number of power domination sets of size k in a labeled complete m-ary tree. As a corollary we show that the desired probability can be computed in exponential with linear exponent time.
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