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相关概念视频

Probability Distributions01:32

Probability Distributions

6.8K
 The probability of a random variable x  is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
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Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

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In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
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Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

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The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation  between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
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Probability in Statistics01:14

Probability in Statistics

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Probability is the likelihood of an event occurring. The term event is defined as a collection of results of a procedure. An event is a simple event when an outcome cannot be divided into simpler parts.
An example of a simple event is a coin toss. The result of a coin toss is either a head or a tail. Here, head and tail are two simple events. These two simple events make up the sample space. Further, the probability of an event occurring falls within the range of 0 to 1. The probability of an...
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Probability Histograms01:17

Probability Histograms

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A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of contiguous (adjoining) boxes. It has both a horizontal axis and a vertical axis. The horizontal axis is labeled with what the data represents. The vertical axis is labeled with probability. Each rectangular bar in the histogram is 1 unit wide, which suggests that the area under each bar equals the probability, P(x), where x is 1, 2, 3, and so on.
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Probability Laws01:49

Probability Laws

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Overview
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相关实验视频

Updated: Jun 6, 2025

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
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在概率分布和信息动力学中的变异性.

Masoud Ataei1, Xiaogang Wang2

  • 1Department of Mathematical and Computational Sciences, University of Toronto, Mississauga, ON L5L 1C6, Canada.

Entropy (Basel, Switzerland)
|November 27, 2024
PubMed
概括
此摘要是机器生成的。

我们介绍了derangetropy,这是概率分布中的信息动态的新测量方法. 这种功能性方法捕捉了信息分散,提供了超越传统度的复杂系统的洞察力.

关键词:
组合分析是一种组合分析.不同方程 微分方程 微分方程进入的过程中,平衡分析分析平衡分析功能性措施 功能性措施信息动态 信息动态信息理论信息理论可能性分布的概率分布.

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科学领域:

  • 信息理论 信息理论
  • 复杂系统分析 复杂系统分析
  • 可能性理论概率理论.

背景情况:

  • 像Shannon entropy这样的尺度尺度提供了对信息动态的有限见解.
  • 在概率分布中描述信息分散对于理解复杂系统至关重要.

研究的目的:

  • 介绍了变态,这是信息动态的一个新的功能性测量.
  • 描述在概率分布中的信息分散.
  • 为复杂和层次系统提供了一个新的分析工具.

主要方法:

  • 开发了一种功能性测量,derangetropy,结合了自我参考和周期性质.
  • 使用组合论证明作为理论基础.
  • 进行经验分析以证明效用.

主要成果:

  • 变态提供了信息分散的功能表示,与标量措施不同.
  • 该测量提供了对由微分方程和平衡状态支配的信息动态的洞察.
  • 经验分析证实了derangetropy在描绘分布行为和进化的有效性.

结论:

  • 德朗格特罗皮是一种新而强大的工具,用于分析概率分布中的信息动态.
  • 它通过捕捉信息分散来增强复杂和层次系统的研究.
  • 这种功能性测量补充了现有的尺度信息理论工具.