by applying the maximum

USAGE SUMMARY

The phrase "by applying the maximum" is correct and usable in written English.
It can be used when discussing the implementation of the highest possible level of something, such as effort, resources, or a principle. Example: "We can achieve better results by applying the maximum effort in our project."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

13 human-written examples

By applying the maximum principle we get u x (0,t o ) > 0 which is a contradiction.

Boundary Value Problems

By applying the maximum principle established before, we investigate a type of production-consumption choice optimization problem in this subsection.

Journal of Inequalities and Applications

If H k <1, the delay/Doppler bin containing the detected target, , is obtained by applying the maximum posterior mode (MPM) criterion.

EURASIP Journal on Advances in Signal Processing

Then, by applying the maximum modulus principle for the polynomial P ( z ) when | k | ≤ 1, max | z | = k | P ( z ) | ≤ max | z | = 1 | P ( z ) |.

Journal of Inequalities and Applications

By applying the maximum principle [24], it follows from (2.18) that P can attain its nonnegative maximum only for D ¯ × { 0 } or ∂ D × ( 0, T ).

Boundary Value Problems

Due to transaxial MR field-of-view truncation, attenuation of the arms was estimated using PET emission data by applying the maximum likelihood reconstruction of activity and attenuation algorithm (MLAA).

European Journal of Hybrid Imaging

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

A phylogenetic tree was constructed with MEGA software, version 5.0, by applying the maximum-likelihood method and using the Kimura 2-parameter model, in which 1,000 replications were selected for bootstrapping (14 ) (Technical Appendix Figure 3).

Emerging Infectious Diseases

So, u ˇ ≠ 0. Similarly, v ˇ ≠ 0. By (F5), applying the maximum principle to each equation of (NLS), we infer that u ˇ > 0, v ˇ > 0. The proof is complete.

Boundary Value Problems

But in situations of short data snapshots, they may not be reliable and one would be obliged to trade low complexity for more accurate estimation by simply applying the maximum likelihood approaches.

EURASIP Journal on Advances in Signal Processing

Some missing environmental data were extrapolated by applying the expectation maximum likelihood algorithm implemented in Primer 7 (1000 iterations, minimum value change: 10−6).

AMB Express

The node sequences in Figures 3 & 4 and Tables 1 & 2 were estimated by applying the extended maximum parsimony method at the DNA level to the three local lineages of Primates, Cetartiodactyla, and Afrotheria.

Plosone

Expert writing Tips

Best practice

When using "by applying the maximum", ensure it's clear what is being maximized and in what context. This provides clarity and strengthens your statement.

Common error

Avoid using "by applying the maximum" in contexts where a simpler phrase like "by maximizing" would suffice. Overusing complex phrasing can make your writing sound unnecessarily verbose.

Linguistic Context

The phrase "by applying the maximum" functions as a gerund phrase, modifying a verb or clause by describing the method or process used to achieve a particular result. It adds detail about how an action is carried out, specifically emphasizing the use of the highest possible extent or degree. Ludwig AI confirms this usage pattern in various contexts.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "by applying the maximum" is a grammatically correct gerund phrase that is primarily used in scientific and technical contexts to emphasize the full utilization of resources or methods. Ludwig AI's analysis confirms this, noting its prevalence in academic and scientific writing. While semantically sound, it's important to use the phrase judiciously, opting for simpler alternatives like "maximizing" when appropriate to avoid unnecessary verbosity. The related phrases and usage guidance provided can help refine your writing, ensuring clarity and impact when describing the extent to which something is being utilized.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

through maximizing the utilization

Changes the introductory preposition and verb while retaining the core concept of maximizing something.

via the greatest possible implementation

Replaces 'applying' with 'implementation' and emphasizes the 'greatest possible' aspect.

using maximal application

Rephrases the action as 'application' which is then modified by 'maximal'.

by employing peak usage

Focuses on the 'usage' aspect, replacing 'applying' with 'employing' and 'maximum' with 'peak'.

by leveraging the upper limit

Shifts the focus to 'leveraging' the 'upper limit', which conveys the idea of using the maximum available.

through optimal deployment

Replaces application with deployment and suggests an optimization of the resource or method being used.

with utmost exertion

Focuses on the effort or force being applied, using 'utmost exertion' to convey maximum effort.

utilizing the greatest extent

Emphasizes the degree or scope of application by using 'greatest extent'.

by exerting maximum force

Emphasizes the force being applied, highlighting the 'maximum' level of exertion.

by enforcing the greatest level

Focuses on the enforcement of a 'greatest level', suggesting adherence to a maximum standard or requirement.

FAQs

How can I use "by applying the maximum" in a sentence?

You can use "by applying the maximum" to describe the act of utilizing the greatest possible extent of something, such as effort, resources, or a principle. For example, "We can achieve better results by applying the maximum effort in our project".

What are some alternatives to "by applying the maximum"?

Alternatives include "through maximizing the utilization", "via the greatest possible implementation", or "using maximal application".

Is it more effective to say "by applying the maximum force" or "by maximizing force"?

Both phrases are grammatically correct, but "by maximizing force" is more concise and often preferable. "By applying the maximum force" is useful when specifying the method of application is important, while "by maximizing force" focuses on the outcome.

When is it appropriate to use "by applying the maximum" in formal writing?

It's appropriate in formal writing when you need to emphasize that the highest possible level or degree of something is being implemented or utilized, especially in technical or scientific contexts. It can also add emphasis compared to simpler terms like "maximizing".