Ergodic in a sentence
Synonym: statistical, dynamic.
Meaning: Relating to a system in which all possible states are accessible; often used in statistics and physics.
(1) Ergodic systems exhibit a uniform exploration of phase space.
(2) The ergodic hypothesis is a key assumption in statistical mechanics.
(3) The ergodic measure of a system can be used to calculate its entropy.
(4) Ergodic dynamics play a crucial role in the study of chaotic systems.
(5) Ergodic dynamics provide insights into the behavior of complex systems.
(6) Ergodic systems exhibit a uniform exploration of phase space over time.
(7) Ergodic processes are those that exhibit a random walk behavior over time.
(8) The ergodic hypothesis is a key assumption in the study of complex systems.
(9) Ergodic processes are often used in cryptography to generate random numbers.
(10) The ergodic hypothesis is a fundamental assumption in statistical mechanics.
Ergodic sentence
(11) Ergodic processes are used in signal processing to analyze time series data.
(12) Ergodic processes are used in finance to model the behavior of stock prices.
(13) Ergodic dynamics ensure that the system explores all available energy levels.
(14) The ergodic theorem ensures that time averages converge to ensemble averages.
(15) Birkhoff's ergodic theorem is a key result in the study of dynamical systems.
(16) The ergodic hypothesis is a key assumption in the theory of dynamical systems.
(17) Ergodic dynamics play a crucial role in the understanding of chaotic behavior.
(18) The ergodic measure of a system can be used to estimate its long-term behavior.
(19) The ergodic theorem is a fundamental result in the theory of dynamical systems.
(20) The ergodic theorem is a fundamental concept in the study of dynamical systems.
Ergodic make sentence
(21) The ergodic theorem guarantees that time averages converge to ensemble averages.
(22) The ergodic property of a system allows for the calculation of ensemble averages.
(23) The ergodic hypothesis is a key assumption in the study of statistical mechanics.
(24) The ergodic measure of a system quantifies the amount of time spent in each state.
(25) The ergodic measure of a system can be used to analyze its statistical properties.
(26) Ergodic systems are characterized by their ability to explore all possible states.
(27) The ergodic hypothesis is a fundamental concept in the theory of dynamical systems.
(28) The ergodic hypothesis is a fundamental principle in the study of dynamical systems.
(29) The ergodic nature of a system guarantees that it will eventually reach equilibrium.
(30) Ergodic processes are used to model the behavior of physical and biological systems.
Sentence of ergodic
(31) Ergodic systems are often used in computer simulations to model real-world phenomena.
(32) Birkhoff's ergodic theorem is a fundamental result in the field of dynamical systems.
(33) Ergodic theory provides a framework for understanding the behavior of chaotic systems.
(34) Ergodic theory has applications in fields such as physics, mathematics, and economics.
(35) Ergodic processes are used in machine learning algorithms to explore the solution space.
(36) The ergodic hypothesis states that a system will eventually visit all accessible states.
(37) Ergodic processes are essential for the study of equilibrium and nonequilibrium systems.
(38) The ergodic theorem provides a mathematical foundation for the study of complex systems.
(39) Ergodic systems are characterized by their ability to explore all possible configurations.
(40) The ergodic property of this algorithm ensures that it will converge to a stable solution.
Ergodic meaningful sentence
(41) The ergodic nature of a system guarantees that it will explore all possible energy levels.
(42) The ergodic property of this algorithm ensures that it will converge to the global optimum.
(43) Ergodic processes are characterized by their ability to explore all possible configurations.
(44) The ergodic property of this algorithm ensures that it will converge to the correct solution.
(45) The ergodic nature of the system ensures that all possible states will be visited eventually.
(46) The ergodic nature of this system ensures that all possible states will be visited eventually.
(47) The ergodic hypothesis states that a system will explore all of its possible states over time.
(48) The ergodic measure is a mathematical tool used to describe the behavior of a system over time.
(49) Ergodic processes are essential for the understanding of equilibrium and nonequilibrium systems.
(50) Ergodicity breaking is a phenomenon that occurs when a system fails to exhibit ergodic behavior.
Ergodic sentence examples
(51) Boltzmann's ergodic hypothesis states that a system will eventually explore all possible states.
(52) The ergodic property of this algorithm ensures that it will eventually find the optimal solution.
(53) Ergodic processes are often used in statistical mechanics to study the behavior of complex systems.
(54) Ergodic theory is a branch of mathematics that studies the long-term behavior of dynamical systems.
(55) Ergodic theory provides a mathematical framework for understanding the behavior of complex systems.
(56) The ergodic property of a system ensures that it will eventually sample all available configurations.
(57) The ergodic limit theorem states that the time average of a system converges to its ensemble average.
(58) Ergodic systems are characterized by their ability to explore all possible states with equal probability.
(59) The Birkhoff decomposition allows us to decompose a measure-preserving transformation into ergodic components.
(60) Birkhoff's theorem on the central limit theorem for dynamical systems provides a probabilistic interpretation of ergodic theory.
(61) Birkhoff's theorem on the uniqueness of the ergodic measure characterizes the measure of maximal entropy for a given transformation.
Ergodic meaning
Ergodic is a term that is often used in mathematics and physics to describe a system that has the property of being able to explore all possible states over time. This means that if you were to observe a system that is ergodic for a long enough period of time, you would eventually see it explore every possible state that it can be in. If you are looking to use the word ergodic in a sentence, there are a few tips that you can follow to ensure that you are using it correctly and effectively. Here are some tips to keep in mind:
1. Understand the meaning of the word: Before you start using the word ergodic in your writing, it is important to have a clear understanding of what it means. Take some time to research the term and read about its definition and usage in different contexts.
2. Use it in the right context: Ergodic is a technical term that is typically used in scientific or mathematical contexts. Make sure that you are using the word in the appropriate context and that it makes sense in the context of your sentence.
3. Provide context: When using the word ergodic, it is important to provide some context to help your readers understand what you are talking about. This could involve explaining the system or process that you are referring to, or providing some background information on the topic.
4. Be clear and concise: When using technical terms like ergodic, it is important to be clear and concise in your writing. Avoid using overly complex language or jargon that may confuse your readers.
5. Use examples: To help illustrate your point and make your writing more engaging, consider using examples of ergodic systems or processes. This can help your readers better understand the concept and how it applies in different contexts. Here are some example sentences that use the word ergodic: - "The system was found to be ergodic, meaning that it explored all possible states over time." - "The ergodic hypothesis is a fundamental concept in statistical mechanics." - "The study found that the system was not ergodic, as it was unable to explore all possible states." - "Ergodicity is an important property of many physical and biological systems." - "The researchers used ergodic theory to analyze the behavior of the system over time."
The word usage examples above have been gathered from various sources to reflect current and historical usage of the word Ergodic. They do not represent the opinions of TranslateEN.com.