achieves maximum entropy

USAGE SUMMARY

The phrase "achieves maximum entropy" is correct and usable in written English.
It can be used in contexts related to thermodynamics, information theory, or statistical mechanics, where it describes a state of highest disorder or randomness. Example: "In a closed system, the process continues until it achieves maximum entropy, indicating that energy is evenly distributed."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

If instead our family consists of distributions over the positive integers with finite mean, then once more there is no distribution that achieves maximum entropy.

SEP

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

The numerical results show that, to achieve maximum entropy in the prior of Reynolds stresses, the perturbations of shape parameters in Barycentric coordinates are normally distributed.

International Journal of Heat and Fluid Flow

It is the point at which the energy bank account has been exhausted, the system has achieved maximum entropy.

Evolution: Education and Outreach

The function g in this class which achieves the maximum entropy is characterized in a number of different ways and its entropy is computed in terms of a Hankel operator based on the prescribed matrices γ0,…1,….

Journal of Functional Analysis

Finally, the result sheds light on how large the variance of each physical variable should be compared with each other to achieve the approximate maximum entropy prior.

International Journal of Heat and Fluid Flow

The new, more efficient green strain will divide and consume glucose at an even faster rate than the blue strain, thus depleting the dish's glucose and achieving maximum system entropy at an earlier time point.

Evolution: Education and Outreach

Three dishes contain equal amounts of glucose at time 0. The glucose in the dish containing no bacteria will degrade relatively inefficiently through oxidation, achieving a state of maximum entropy over a long period of time (red line).

Evolution: Education and Outreach

This more efficient glucose transporting strain (green line) will rapidly out-compete the original strain for glucose, achieving a state of maximum entropy for that dish at a time significantly earlier than the genetically stable bacterial strain (blue line).

Evolution: Education and Outreach

This paper researches on methods of the color image segmentation method of Lingwu long jujubes based on the maximum entropy to achieve the accuracy of image segmentation and improve accuracy of machine recognition.

EURASIP Journal on Image and Video Processing

The maximum entropy algorithm consistently achieves the best performance among the ones in OpenNLP, although it still falls with a considerable gap behind all our models that use the three extra attributes.

Journal of the Brazilian Computer Society

The bank account is empty, maximum entropy has been achieved.

Evolution: Education and Outreach

Expert writing Tips

Best practice

When discussing thermodynamics or information theory, use "achieves maximum entropy" to denote the point where a system's disorder or randomness is at its highest. Ensure the context clearly defines the 'system' being referenced.

Common error

Avoid using "achieves maximum entropy" loosely without a clear understanding of the system boundaries. Ensure you're referring to a closed or defined system; otherwise, the concept of maximum entropy may not apply correctly.

Linguistic Context

The phrase "achieves maximum entropy" functions as a verb phrase describing the action of reaching a state of highest possible entropy. Ludwig indicates that this phrase is correctly used to express the attainment of maximum disorder or randomness within a system.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "achieves maximum entropy" is grammatically correct and most commonly used in scientific contexts to describe a system reaching a state of maximum disorder or randomness. Ludwig AI confirms its appropriate use in thermodynamics and information theory. While relatively rare, the phrase accurately conveys the attainment of thermodynamic equilibrium or peak entropy. Related phrases include "reaches maximum entropy" and "attains maximum entropy". When using this phrase, ensure that the system boundaries are well-defined to avoid misunderstandings.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

reaches maximum entropy

Replaces the verb "achieves" with "reaches", maintaining the same meaning.

attains maximum entropy

Substitutes "achieves" with "attains", offering a slightly more formal tone.

reaches a state of maximum entropy

Adds "a state of" for emphasis, slightly changing the phrasing.

reaches equilibrium

Implies maximum entropy by referring to the state of equilibrium.

achieves a state of thermodynamic equilibrium

Specifies the type of equilibrium, making it more specific.

moves toward maximum disorder

Shifts the focus to the process of increasing disorder, rather than achieving a state.

tends toward maximum entropy

Indicates a direction or inclination toward maximum entropy.

system entropy is maximized

Reformulates the phrase in a passive voice, focusing on the entropy of the system.

entropy reaches its peak

Changes the verb and possessive construction to indicate the highest point of entropy.

system decays to maximum entropy

Implies a process of decay or degradation leading to maximum entropy.

FAQs

How can I use "achieves maximum entropy" in a sentence?

You can use "achieves maximum entropy" to describe a system that has reached a state of equilibrium or maximum disorder, such as, "In a closed system, the process continues until it achieves maximum entropy, indicating that energy is evenly distributed."

What does it mean when a system "achieves maximum entropy"?

When a system achieves maximum entropy, it means it has reached a state where the energy is most evenly distributed and there is no longer any potential for work to be done. It represents the highest level of disorder or randomness within that system.

Which is correct, "achieves maximum entropy" or "reaches maximum entropy"?

Both "achieves maximum entropy" and "reaches maximum entropy" are grammatically correct and can be used interchangeably, although "achieves" may imply a more active or intentional process.

What is the relationship between "achieves maximum entropy" and thermodynamic equilibrium?

Achieves maximum entropy is often used in the context of thermodynamic equilibrium. When a system reaches thermodynamic equilibrium, it has also "reaches equilibrium", indicating that it has attained a state of maximum entropy.