maximum entropy

USAGE SUMMARY

The phrase "maximum entropy" is correct and usable in written English.
It is typically used in contexts related to information theory, statistics, and thermodynamics to describe a state of highest uncertainty or disorder. Example: "In the context of statistical mechanics, the system reaches maximum entropy when it is in thermodynamic equilibrium."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

Similarly, the one-way street to maximum entropy is just that, it has a beginning and an end.

The New York Times

For the ultimate laptop, the maximum entropy corresponds to an information capacity of about 2.13 x 1031 bits -- a billion trillion times more than today's laptops.

The New York Times - Health

Maximum Entropy.

Environmental Systems Research

bias-corrected maximum entropy.

Carbon Balance and Management

MaxEnt ∙ (maximum entropy) [27].

Journal of the Brazilian Computer Society

This is thus the maximum entropy solution.

EURASIP Journal on Advances in Signal Processing

Equal probable quantization offers maximum entropy.

EURASIP Journal on Advances in Signal Processing

Based on copulas and univariate maximum entropy margins, multivariate maximum entropy distributions are constructed.

International Journal of Hydrogen Energy

The second-stage algorithm uses a maximum entropy classifier.

Information Processing & Management

A maximum entropy distribution signifies the decentralization of the network.

Computer Networks

They tend to the state of thermodynamic equilibrium (maximum entropy).

Applied Petrochemical Research

Expert writing Tips

Best practice

When discussing physical systems, clarify the context (e.g., thermodynamics, information theory) to ensure the meaning of "maximum entropy" is clear. For example: "The system reached its "maximum entropy" state at thermal equilibrium."

Common error

Avoid assuming that "maximum entropy" implies simplicity or ease of understanding. It often represents complex states with high uncertainty, not necessarily elementary arrangements.

Linguistic Context

The phrase "maximum entropy" functions primarily as a noun phrase. It typically acts as a subject or object in a sentence, denoting a specific state or condition in various scientific and technical contexts. Ludwig AI confirms its accurate usage.

Expression frequency: Very common

Frequent in

Science

77%

News & Media

13%

Formal & Business

10%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "maximum entropy" is a noun phrase of high utility, primarily functioning to denote a state of maximum disorder or uncertainty in scientific contexts. Ludwig AI validates its grammatical correctness. It is frequently encountered in scientific publications and academic papers, while its presence in news media and business contexts, though notable, remains secondary. Alternative phrasing might involve terms like "peak entropy" or ""greatest uncertainty"", but it's important to consider that in some contexts there's no alternative.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

peak entropy

Replaces "maximum" with "peak", emphasizing the highest point of entropy.

highest entropy state

Specifies that it's a state of entropy that is at its highest.

maximum disorder

Substitutes "entropy" with "disorder", a common interpretation of the concept.

state of thermodynamic equilibrium

Refers to the condition where entropy is maximized in a closed system.

greatest uncertainty

Replaces "entropy" with its informational interpretation of uncertainty.

maximum randomness

Highlights the randomness associated with the state of maximum entropy.

ultimate disorder

Emphasizes the final or highest level of disorder.

entropy maximization

Focuses on the process of increasing entropy to its highest point.

thermodynamic equilibrium

Highlights the equilibrium state of the system.

full entropy

Uses a more informal adjective to express the completeness of entropy.

FAQs

How is "maximum entropy" used in thermodynamics?

In thermodynamics, "maximum entropy" describes a state of equilibrium in a closed system, where energy is evenly distributed and no further work can be extracted. This state represents the highest degree of disorder.

What does "maximum entropy" mean in information theory?

In information theory, "maximum entropy" signifies the probability distribution that best represents the current state of knowledge about a system. It represents the highest uncertainty given the available constraints, similar to "greatest uncertainty".

Which fields commonly use the concept of "maximum entropy"?

The concept of "maximum entropy" is commonly applied in fields such as thermodynamics, information theory, statistical mechanics, machine learning, and ecology. Its broad applicability stems from its ability to model systems with limited information.

What are some practical applications of the "maximum entropy" principle?

Practical applications include species distribution modeling (using Maxent software), image reconstruction, and natural language processing. These models aim to make predictions based on incomplete data by maximizing entropy under given constraints.