maximum entropy of

USAGE SUMMARY

The phrase "maximum entropy of" is correct and usable in written English.
It is typically used in contexts related to information theory, statistics, or thermodynamics to describe the highest level of uncertainty or disorder in a system. Example: "The maximum entropy of the distribution indicates the most uniform state possible given the constraints."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

8 human-written examples

Table 2 Maximum entropy of d-constrained sources Run-length constraint d=1 d=2 d=3 Max entropy rate [bit/symbol] 0.6942 0.6942 0.6942.

EURASIP Journal on Wireless Communications and Networking

The maximum entropy of 50 and 75% can be divided as thresholds of smooth block, medium complex block, and complex texture block.

EURASIP Journal on Advances in Signal Processing

However, according to Table 1, we already closely approach the maximum entropy of the state machine with infinite memory given in (20) by considering a memory of Lsrc=4.

EURASIP Journal on Wireless Communications and Networking

The concrete walls of Dilston Grove Church act as thresholds, separating external reality from the point of maximum entropy of Dark Water.

Vice

To finalize this section, we state a simple lemma concerning the maximum entropy of a graph.

Plosone

We used equations for the formation of informational entropies described by Doyle et al. [20]: <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0017460.e001.PNG" class= inline-graphic"/> where H0 is the maximum entropy of the vocal repertoire in bits, the zeroth-order entropy, and N is the total number of syllable types.

Plosone

Human-verified similar examples from authoritative sources

Similar Expressions

51 human-written examples

We considered a method using the principle of maximum entropy to infer a network of interacting phosphotyrosine sites from pairwise correlations in a mass spectrometry data set and derive a phosphorylation-dependent interaction network solely from quantitative proteomics data.

Plosone

Without the benefit of mRNA analyses, of minigene experiments, of Maximum Entropy Scores, of site-directed mutagenesis or of functional assays of ATM activity, most 'missense' mutations cannot be reliably distinguished from polymorphisms or from other types of mutations, such as splicing variants that lead to secondary stop codons.

Breast Cancer Research

The principle of maximum entropy for a fragility distribution is formulated.

Structural Safety

Matter "just after" the Big Bang is usually posited to be in a state of maximum entropy – to be in thermal equilibrium.

SEP

The conditionals in L∗ serve as a means for the construction and manipulation of probability distributions respecting the Principle of Maximum Entropy and of Minimum Relative Entropy.

Artificial Intelligence

Expert writing Tips

Best practice

When discussing the "maximum entropy of" a system, clearly define the constraints under which the entropy is being maximized to provide a complete understanding.

Common error

Avoid using "maximum entropy of" when you actually mean "maximum energy of". Entropy refers to disorder or randomness, not energy levels; using the terms interchangeably can lead to significant misunderstandings.

Linguistic Context

The phrase "maximum entropy of" functions primarily as a noun phrase, often acting as a subject or object in sentences. Ludwig examples illustrate its use in scientific and technical contexts to describe a specific quantifiable property.

Expression frequency: Uncommon

Frequent in

Science

70%

News & Media

15%

Encyclopedias

10%

Less common in

Formal & Business

3%

Wiki

1%

Reference

1%

Ludwig's WRAP-UP

The phrase "maximum entropy of" is a technical term primarily used in scientific and academic contexts to quantify the highest possible level of disorder or randomness within a system. Ludwig AI's analysis confirms that the phrase is grammatically correct, though not very common. It often appears in discussions of thermodynamics, information theory, and statistical mechanics. The phrase's formality restricts its use to academic and scientific settings, and understanding its meaning is crucial for interpreting technical discussions in these fields. Alternative phrases such as "peak entropy of" and "highest entropy level of" can provide similar meaning in certain contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

peak entropy of

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

highest entropy level of

Substitutes "maximum" with "highest level", providing a more descriptive term.

greatest entropy value of

Replaces "maximum" with "greatest value", keeping the core meaning intact.

upper limit of entropy in

Rephrases using "upper limit" to denote the boundary of entropy.

entropy ceiling of

Uses "entropy ceiling" as a metaphorical representation of the maximum entropy.

maximum degree of disorder in

Focuses on "disorder" as a descriptor for entropy, using "maximum degree".

maximum randomness of

Emphasizes "randomness" as the primary attribute of entropy.

maximum uncertainty in

Highlights "uncertainty" as a key characteristic of entropy.

saturation point of entropy in

Introduces the concept of a "saturation point" to indicate maximum entropy.

ultimate entropy state of

Uses "ultimate state" to convey the final, maximal condition of entropy.

FAQs

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

You can use "maximum entropy of" to describe the state of a system with the highest possible disorder, such as "The system reached its "maximum entropy of" after prolonged heating".

What does "maximum entropy of" mean in thermodynamics?

In thermodynamics, "maximum entropy of" refers to the state where a system's energy is distributed as evenly as possible, resulting in the highest degree of disorder and the least amount of usable energy.

Which is correct, "maximum entropy of" or "highest level of entropy in"?

Both ""maximum entropy of"" and "highest level of entropy in" are correct, but "maximum entropy of" is more concise and commonly used, especially in scientific contexts.

What's the difference between "maximum entropy of" and "state of equilibrium"?

"Maximum entropy of" describes the extent of disorder, while "state of equilibrium" refers to the condition where a system's properties are stable over time. A system at equilibrium may or may not be at its maximum entropy.