equivalent formulation

USAGE SUMMARY

The phrase "equivalent formulation" is correct and usable in written English.
It can be used in contexts where you are discussing different ways to express the same idea or concept, particularly in scientific or mathematical discussions. Example: "The equivalent formulation of the equation allows for easier computation and understanding of the underlying principles."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

We have proved the equivalence between the SGNMVID and the fixed point problem, and then by this equivalent formulation, discussed the existence and uniqueness of solution of the SGNMVID.

Fixed Point Theory and Applications

We first verify the equivalence between the SGNMVID and the fixed point problems, and then by this equivalent formulation, we discuss the existence and uniqueness of the solution of the SGNMVID.

Fixed Point Theory and Applications

Thus, we have the equivalent formulation.

Journal of Inequalities and Applications

We modeled it in a deterministic equivalent formulation.

Transportation Research Part B: Methodological

There is an equivalent formulation of this result [S.

Journal of Functional Analysis

It turned out that this alternative equivalent formulation is more general and flexible.

Fixed Point Theory and Applications

This alternative equivalent formulation is very useful from the numerical and theoretical point of view.

Journal of Inequalities and Applications

This alternative equivalent formulation is also useful from the numerical and theoretical analysis point of view.

Boundary Value Problems

They also present an equivalent formulation of execution time minimization for a budget constrained job.

Journal of Cloud Computing

This alternative equivalent formulation is very useful for a numerical point of view.

Fixed Point Theory and Applications

This equivalent formulation is used to suggest and analyze an iterative method for solving (2.1).

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using "equivalent formulation", ensure that the alternative expression truly maintains the original meaning and intent. State clearly why the new formulation is beneficial (e.g., easier to compute, more general, etc.).

Common error

Avoid using "equivalent formulation" if you haven't rigorously demonstrated that the alternative expression is indeed equivalent. A mere similarity is not enough; mathematical or logical equivalence must be established.

Linguistic Context

The phrase "equivalent formulation" functions as a noun phrase used to denote an alternative way of expressing a concept, problem, or equation that maintains the same meaning or solution. Ludwig AI confirms that this phrase is correct and usable in written English, particularly in scientific or mathematical discussions.

Expression frequency: Very common

Frequent in

Science

95%

Formal & Business

3%

Encyclopedias

1%

Less common in

News & Media

0%

Wiki

1%

Reference

0%

Ludwig's WRAP-UP

In summary, "equivalent formulation" is a grammatically sound and frequently used phrase, primarily in scientific and academic writing. As Ludwig AI indicates, the phrase is used to introduce an alternative way of expressing a concept that preserves its original meaning. The phrase emphasizes that the alternative version is not merely similar but rigorously equivalent, ensuring no loss of information or change in outcome. When using "equivalent formulation", ensure the equivalence is proven and clearly state the benefits of the new form. Related phrases include "alternative representation" or "reformulated statement".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

alternative representation

Focuses on a different way to show the same information.

alternative expression

Highlights a different wording to convey the same meaning.

rewritten version

Emphasizes the act of changing the writing style while retaining the original meaning.

reformulated statement

Suggests a more structured and formal change in the way something is declared.

modified version

Indicates a change, not necessarily a complete transformation, but enough to be considered distinct.

different phrasing

Highlights the change in the choice of words.

alternative approach

Suggests that the way of solving the problem or tackle is different

transformed equation

Highlights that the original equation has been transformed

revised wording

Focuses on the act of revising the wording.

paraphrased version

Emphasizes that the original phrase has been reworded without change the meaning.

FAQs

How can "equivalent formulation" be used in a sentence?

You can use "equivalent formulation" to introduce an alternative way of expressing a concept, equation, or problem that maintains the same meaning or solution. For example: "We modeled it in a deterministic "deterministic equivalent formulation"".

What are some alternatives to "equivalent formulation"?

Alternatives include "alternative representation", "alternative expression", or "reformulated statement", depending on the specific context in which you're using the phrase.

When is it appropriate to use "equivalent formulation"?

Use "equivalent formulation" when you want to emphasize that a different way of expressing something is not just similar but mathematically or logically identical in its implications and results.

What is the difference between "equivalent formulation" and "approximation"?

"Equivalent formulation" implies that the two expressions are exactly the same, while "approximation" means one expression is close to, but not exactly the same as, another. An "approximation" introduces a degree of error or simplification that an equivalent formulation does not.