词汇 | ergodic |
释义 | ergodic adjective mathematics specializeduk /ɜːˈɡɒd.ɪk/ us /ɝːˈɡɑː.dɪk/ relating to or involving the probability(= how likely it is) that any state will recur(= happen again): 遍历的 An ergodic approach analyzes dynamic systems using probability.遍历方法利用概率分析动态系统。 ergodic theoremThe ergodic theorem cannot be applied simply and directly in all cases. These processes are assumed to be ergodic. Some of his statements about ergodic and stationary processes are rather unclear. They developed an ergodic theory of economics together. When something is ergodic, it's always stationary. These theorems can be proved by means of ergodic theory. Possible and probable add credence to something always anything's possibleidiom arguably as never beforeidiom bet fair houseroom I shouldn't wonderidiom in with a chance it isn't over until the fat lady singsidiom lean manage probabilistically probability probable probably prospective tend tip Examples of ergodicergodic First, we show that we can arrive at f1 maintaining the given measure, and then we verify the ergodic properties. We construct a minimal foliation of thin type which is not uniquely ergodic. We assume t h a t the system (3.1) is mixing as well as ergodic. It is easy to see that the action preserves the (finite) measure and is ergodic. It remains to see that f is not ergodic. In fact, there may or may not exist an ergodic element. A class of ergodic transformations having simple spectrum. On a series of cosecants related to a problem in ergodic theory. In this paper, we construct quasi-invariant measures for this foliation, and study their ergodic properties. Section 6 completes the proof without the ergodic assumption. One may ask how the number of ergodic invariant measures can be increased in a controlled way. Since the argument below is carried out for one ergodic component of at a time, we may as well assume is ergodic. In this paper we obtain different types of random ergodic theorems for dynamical systems or continuous semi-flows. In order to study general invariant ergodic measures, it is useful to look at the so-called fibre measures. So this problem can be avoided by saying that hm is ergodic for all m 1, a condition called totally ergodic. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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