equiprobability

简明释义

英[ˌiːkwɪprɒbəˈbɪlɪti]美[ˌiːkwɪprɑːbəˈbɪləti]

n. 等概率

英英释义

单词用法

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反义词

例句

1.The structure of grinding wheels can realize high point grinding, and the good grinding equiprobability lies on a proper spinning speed and the random variation of the spinning axis.

砂轮本身的结构特点可保证高点磨削的实现，而磨削等概率性则依赖于：生坯球合适的自旋速度及自旋轴方向的随机变化。

2.The structure of grinding wheels can realize high point grinding, and the good grinding equiprobability lies on a proper spinning speed and the random variation of the spinning axis.

砂轮本身的结构特点可保证高点磨削的实现，而磨削等概率性则依赖于：生坯球合适的自旋速度及自旋轴方向的随机变化。

3.Furthermore, the expression of stationary bit error rate of system output corresponding to equiprobability quaternary pulse amplitude modulation (PAM) input signals was deduced.

给出了当输入信号为等概率的四进制脉冲幅值调制（PAM）时，系统输出理论渐近误码率计算公式。

4.In a fair game of dice, each outcome has an equiprobability 等可能性 of occurring.

在公平的掷骰子游戏中，每个结果都有一个equiprobability 等可能性。

5.The survey was designed to ensure equiprobability 等可能性 among all participants.

调查的设计确保了所有参与者之间的equiprobability 等可能性。

6.When flipping a coin, heads and tails have an equiprobability 等可能性 of landing face up.

掷硬币时，正面和反面有着equiprobability 等可能性朝上。

7.In probability theory, the concept of equiprobability 等可能性 is fundamental for understanding random events.

在概率论中，equiprobability 等可能性的概念对于理解随机事件是基础。

8.To achieve equiprobability 等可能性, the lottery must be designed without bias.

为了实现equiprobability 等可能性，彩票必须设计得没有偏见。

作文

In the realm of statistics and probability theory, the concept of equiprobability plays a crucial role in understanding random events. Equiprobability refers to a situation where all possible outcomes of a random experiment have the same likelihood of occurring. This principle is fundamental in various fields, including mathematics, computer science, and social sciences, as it allows researchers and analysts to make informed predictions based on equal chances. To illustrate the concept of equiprobability, let’s consider a simple example involving a fair six-sided die. When you roll the die, there are six possible outcomes: 1, 2, 3, 4, 5, or 6. Since the die is fair, each of these outcomes has an equal probability of occurring, which is 1/6. This situation exemplifies equiprobability because no single outcome is favored over the others. Understanding this principle is essential for anyone engaged in statistical analysis, as it lays the groundwork for more complex probability calculations. The implications of equiprobability extend beyond simple examples like dice rolls. In more advanced applications, such as in the field of machine learning, the assumption of equiprobability can influence model training. For instance, when developing a classification model, if the classes are assumed to be equiprobable, it may lead to different training strategies than if some classes are known to be more prevalent than others. This highlights the importance of recognizing when equiprobability can be applied and when it cannot. Moreover, the concept of equiprobability also appears in game theory, where players often assume that their opponents will make choices with equal probability. This assumption can shape strategies and outcomes in competitive environments. For example, in a game of rock-paper-scissors, if both players choose their moves randomly and with equal likelihood, the game exhibits equiprobability. However, if one player begins to recognize patterns in the other’s choices, the initial assumption of equiprobability may no longer hold true, leading to strategic adjustments. In addition to its applications in games and experiments, equiprobability serves as a foundational concept in theoretical discussions about randomness and uncertainty. Philosophers and mathematicians alike have debated the nature of chance and how equiprobability fits into our understanding of the universe. The idea that events can occur with equal likelihood challenges our intuitions about causality and determinism, prompting deeper inquiries into the nature of reality. In conclusion, the concept of equiprobability is a vital element in the study of probability and statistics. It provides a framework for analyzing random events and understanding the likelihood of various outcomes. Whether in simple experiments like rolling a die or in complex models in machine learning, recognizing and applying the principle of equiprobability is essential for making accurate predictions and informed decisions. As we continue to explore the intricacies of chance and randomness, the significance of equiprobability will undoubtedly remain a topic of interest and importance in both academic and practical contexts.

在统计学和概率论领域，equiprobability的概念在理解随机事件中发挥着至关重要的作用。Equiprobability指的是一种情况，其中随机实验的所有可能结果发生的可能性相同。这个原则在数学、计算机科学和社会科学等多个领域都是基础，因为它允许研究人员和分析师基于平等的机会做出明智的预测。 为了说明equiprobability的概念，让我们考虑一个简单的例子：掷一个公平的六面骰子。当你掷骰子时，有六种可能的结果：1、2、3、4、5或6。由于骰子是公平的，这些结果中的每一个都有相等的发生概率，即1/6。这种情况示范了equiprobability，因为没有单一结果比其他结果更有优势。理解这一原则对于参与统计分析的任何人来说都是至关重要的，因为它为更复杂的概率计算奠定了基础。 Equiprobability的影响超越了像掷骰子这样简单的例子。在更高级的应用中，例如在机器学习领域，假设equiprobability可能会影响模型训练。例如，在开发分类模型时，如果假设类是装备概率的，可能会导致与某些类被认为更普遍时不同的训练策略。这突显了认识何时可以应用equiprobability以及何时不能应用的重要性。 此外，equiprobability的概念也出现在博弈论中，玩家通常假设对手将以相等的概率做出选择。这种假设可以塑造竞争环境中的策略和结果。例如，在石头剪刀布游戏中，如果两个玩家随机选择他们的动作且概率相等，则游戏表现出equiprobability。然而，如果一名玩家开始识别另一名玩家选择中的模式，最初的equiprobability假设可能不再成立，从而导致战略调整。 除了在游戏和实验中的应用外，equiprobability还作为关于随机性和不确定性的理论讨论的基础概念。哲学家和数学家们一直在辩论机会的本质以及equiprobability如何融入我们对宇宙的理解。事件以相等的可能性发生的想法挑战了我们对因果关系和决定论的直觉，促使我们对现实的本质进行更深入的探讨。 总之，equiprobability的概念是概率和统计研究中的一个重要元素。它为分析随机事件和理解各种结果的可能性提供了框架。无论是在像掷骰子这样简单的实验中，还是在机器学习中的复杂模型中，识别和应用equiprobability原则对于做出准确的预测和明智的决策至关重要。随着我们继续探索机会和随机性的复杂性，equiprobability的重要性无疑将在学术和实践背景中保持关注和重要性。