corresponding equation

USAGE SUMMARY

"corresponding equation" can be used in written English and is a perfectly correct phrase.
For example: "Given the data set, we can calculate the corresponding equation."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

He observed that if the number of holes in this surface is two or more, then the corresponding equation seems to have only finitely many integer solutions.

Encyclopedia Britannica

Then, the corresponding equation can be obtained.

EURASIP Journal on Wireless Communications and Networking

and the corresponding equation for other-division controls.

IZA Journal of Labor Policy

A comparison with the corresponding equation proposed by DNV-OS-E301 is given.

Applied Ocean Research

This is a corrected version of the corresponding equation (9) in [1].

Health Economics Review

The corresponding equation for the Green's function or 2-point correlation function is (9).

Nanoscale Research Letters

The corresponding equation of state is derived using the Gibbs adsorption isotherm.

Chemical Engineering Science

The signal flow graph corresponding Equation (56) is shown in Figure 1 and its factorization is defined by Equation (57).

EURASIP Journal on Advances in Signal Processing

The proof of positive solution in [5, 8] heavily depends on the explicit solution of the corresponding equation.

Advances in Difference Equations

The corresponding equation was used to transform grey-level values specified to the amount of ink deposited on the paper.

EJNMMI Physics

Then, using this approximation, we can at first iteration step calculate the Fermi energy, solving the corresponding equation.

Nanoscale Research Letters

Expert writing Tips

Best practice

When using "corresponding equation", ensure that the relationship to the original context or equation is clear to avoid ambiguity. For example, specify, "Given equation A, the corresponding equation for scenario B is..."

Common error

Avoid assuming "corresponding equation" always implies direct equivalence. It often indicates a relationship or adaptation, not necessarily an identical outcome.

Linguistic Context

The phrase "corresponding equation" functions as a noun phrase that describes a mathematical equation related to a previously mentioned equation. Ludwig indicates that this phrase is grammatically correct and commonly used.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, "corresponding equation" is a grammatically sound and frequently used phrase, especially within scientific and technical domains. Ludwig confirms its validity and widespread application. It serves to denote a mathematical equation that is related to another, offering a clear connection between the two. When using this phrase, ensure that the link to the original equation is clearly established to avoid any ambiguity. While alternatives such as ""respective equation"" or ""related formula"" exist, the core purpose remains consistent: to highlight a relationship between mathematical expressions. The phrase's formal register makes it particularly suitable for academic and scientific writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

respective equation

Replaces "corresponding" with "respective", emphasizing a one-to-one relationship.

appropriate equation

Substitutes "corresponding" with "appropriate", suggesting the equation is well-suited for a specific purpose.

suitable equation

Similar to "appropriate equation", but implies the equation is fitting or proper in a given context.

equivalent equation

Focuses on the equation having the same value or result as another.

relative equation

Indicates an equation that is related to another, but may not be a direct counterpart.

resulting equation

Highlights the equation as the outcome or consequence of a process or derivation.

analogous equation

Implies the equation is similar or comparable to another, often used in different contexts.

related formula

Uses "formula" instead of "equation", while maintaining the meaning of a connected expression.

matching equation

Suggests the equation is a counterpart or complement to another given equation.

parallel expression

Refers to a mathematical expression that mirrors or corresponds to another.

FAQs

How is "corresponding equation" used in scientific writing?

In scientific writing, "corresponding equation" typically refers to an equation that is related to or derived from another equation, often in a different context or with modified parameters. It indicates a clear connection between the two mathematical expressions.

What are some alternatives to "corresponding equation"?

Depending on the context, you can use alternatives like "respective equation", "appropriate equation", or "related formula".

Is it always necessary to explicitly state the original equation when using "corresponding equation"?

While not always mandatory, explicitly referencing the original equation provides clarity and avoids ambiguity, especially in complex mathematical or scientific discussions. Consider providing a brief citation or restatement of the original equation for context.

What's the difference between "corresponding equation" and "equivalent equation"?

"Corresponding equation" implies a relationship or adaptation, while "equivalent equation" indicates that two equations have the same solution or represent the same mathematical relationship. The former is broader and more flexible.