for numerical optimization

USAGE SUMMARY

The phrase "for numerical optimization" is correct and usable in written English.
It can be used in contexts related to mathematics, computer science, or engineering when discussing methods or techniques aimed at improving numerical solutions. Example: "The algorithm was designed specifically for numerical optimization to enhance the efficiency of data processing."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

29 human-written examples

In the following we use a quasi Newton method provided by the R-function optim for numerical optimization and for numerical integration we used the R-function integrate (R Development Core Team, 2012).

Biometrical Journal

The potential for numerical optimization procedures to make optimal sequencing decisions in hybrid dynamic systems is explored.

Computers & Chemical Engineering

There are many evolutionary algorithms for numerical optimization problems.

Applied Mathematics and Computation

Nelder Mead simplex algorithm was used for numerical optimization.

Journal of Environmental Chemical Engineering

In this study, a novel population-based across neighborhood search (ANS) is proposed for numerical optimization.

Information Sciences

We developed a framework of procedures for numerical optimization in spatially explicit dynamic ecosystem simulation models.

Ecological Modelling

Human-verified similar examples from authoritative sources

Similar Expressions

31 human-written examples

Therefore, we apply a "Genetic Algorithm for Numerical Optimizations of Constrained Problems" (GENOCOP) to solve this multi-objective problem using a goal attainment technique.

Applied Mathematics and Computation

For the analysis, we extend a widely used SEIRS model to incorporate age-dependent screening rate profile and apply a gradient-based line search algorithm for ease of numerical optimization.

BMC Public Health

These results demonstrate the value of numerical optimization for selecting undetermined coefficients in the construction of high-order Runge Kutta methods with a balance between competing objectives.

Journal of Computational Physics

A few numerical studies are presented to validate the theoretical framework for which the well-known method of moving asymptotes (MMA) is adopted for the numerical optimization of the problem.

Computer Methods in Applied Mechanics and Engineering

In this study, we consider the scenario that differential evolution (DE) is applied for global numerical optimization and the index-based neighborhood information of population is used for enhancing the performance of DE.

Applied Soft Computing

Expert writing Tips

Best practice

When using "for numerical optimization", ensure the context clearly defines what is being optimized and the numerical methods involved. This specificity enhances clarity and avoids ambiguity.

Common error

Avoid using "for numerical optimization" too broadly. Always specify the objective function or the problem being addressed. For example, instead of saying "This method is for numerical optimization", specify "This method is for numerical optimization of the airfoil design".

Linguistic Context

The phrase "for numerical optimization" primarily functions as a prepositional phrase modifying a noun or verb. It indicates the purpose or intended use of a method, algorithm, or tool. As Ludwig AI confirms, it's grammatically correct and commonly used. Examples from Ludwig show its use in scientific and engineering contexts.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "for numerical optimization" is a grammatically sound and relatively common phrase, predominantly used within scientific and technical domains. As Ludwig AI confirms, it serves to specify the intended purpose or application of a method or technique in achieving optimal solutions via numerical approaches. The analysis reveals its formal register, making it suitable for academic papers and technical documentation. Best practice involves clearly defining the object or problem being optimized to avoid ambiguity. Consider alternatives such as "to achieve numerical optimization" or "in the pursuit of numerical optimization" to add variety to your writing. Overall, using "for numerical optimization" effectively enhances clarity and precision in scientific and engineering discourse.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

to achieve numerical optimization

Replaces "for" with "to achieve", focusing on the outcome.

in the pursuit of numerical optimization

Replaces "for" with a longer prepositional phrase emphasizing the intent.

aiming at numerical optimization

Changes "for" to a participial phrase that highlights the purpose.

with the goal of numerical optimization

Emphasizes the objective using a more formal structure.

to facilitate numerical optimization

Emphasizes the facilitation aspect.

designed for numerical optimization

Highlights the design aspect related to the phrase's purpose.

intended for numerical optimization

Focuses on the intended use or purpose.

in support of numerical optimization

Highlights the supportive role or function.

with respect to numerical optimization

Adds a level of specificity.

regarding numerical optimization

Similar to "with respect to" but slightly less formal.

FAQs

How can I effectively use "for numerical optimization" in a sentence?

Use "for numerical optimization" to clearly indicate the purpose or application of a method, algorithm, or tool. For example, "We developed a new algorithm "for numerical optimization" of complex systems."

What are some alternatives to "for numerical optimization"?

Alternatives include phrases like "aiming at numerical optimization", "to achieve numerical optimization", or "in the pursuit of numerical optimization". The best choice depends on the specific context and desired emphasis.

Is it better to say "numerical optimization" or "for numerical optimization"?

The choice depends on the sentence structure. "Numerical optimization" is a noun phrase that can act as a subject or object. "For numerical optimization" is a prepositional phrase that modifies a verb or noun. For example, "Numerical optimization is used..." versus "This method is designed "for numerical optimization"."

What's the difference between "numerical optimization" and "analytical optimization"?

"Numerical optimization" involves finding the best solution through iterative calculations, while "analytical optimization" involves finding a closed-form solution using mathematical analysis. Numerical methods are used when analytical solutions are not feasible.