this validates the theorem

USAGE SUMMARY

The phrase "this validates the theorem" is correct and usable in written English.
You can use it when you want to express that a particular finding or result supports or confirms the validity of a theorem. Example: "The results of our experiment were consistent with the predictions made by the theorem; thus, this validates the theorem."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

This validates the numerical method.

Pacific Journal of Mathematics for Industry

This validates the simulation results.

EURASIP Journal on Wireless Communications and Networking

This validates the relationships you build.

Forbes

This validates the effectiveness of AutoTL.

EURASIP Journal on Wireless Communications and Networking

This validates the previous theoretical analysis.

EURASIP Journal on Wireless Communications and Networking

This validates the technique.

Plosone

This validated the Kindura approach.

Journal of Cloud Computing

This validated the subcellular fractionation procedure.

Plosone

Hence, (lambda_{1}^ / lambda_{2}^) is an increasing function which validates the result of Theorem 2.9 as expected.

Journal of Inequalities and Applications

In addition, by studying the velocity autocorrelation function, we are able to validate the fluctuation dissipation theorem for the algorithm.

Journal of Computational Physics

In this section, we give two simple but illustrative examples, thereby validating the proposed theorems.

Boundary Value Problems

Expert writing Tips

Best practice

Use "this validates the theorem" when you have empirical evidence or logical deductions that directly support the truth or applicability of a theorem. Ensure the 'this' clearly refers to the specific data or argument that provides the validation.

Common error

Avoid using "this validates the theorem" based on preliminary or weak evidence. Ensure the validation is robust and widely accepted before making such a strong claim. Overstating validation can undermine your credibility.

Linguistic Context

The phrase "this validates the theorem" functions as an affirmative statement indicating that a preceding result, observation, or deduction confirms the correctness or applicability of a mathematical or scientific principle. Ludwig AI identifies this as expressing a strong confirmation.

Expression frequency: Missing

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Less common in

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Ludwig's WRAP-UP

The phrase "this validates the theorem" is used to affirm that recent findings, data, or observations support a theorem. While grammatically correct, Ludwig indicates that this phrase is rare in occurrence across diverse sources. The contexts where it is appropriate are primarily academic and scientific, aiming to convey a strong sense of confirmation and precision. For alternative expressions, consider phrases such as "this confirms the theorem" or "this supports the theorem" to vary the language while maintaining a similar meaning.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

this confirms the theorem

Replaces "validates" with "confirms", offering a direct synonym.

this verifies the theorem

Substitutes "validates" with "verifies", indicating a proof of truth.

this supports the theorem

Uses "supports" instead of "validates", suggesting the theorem is strengthened but not necessarily proven.

this corroborates the theorem

Replaces "validates" with "corroborates", implying additional evidence backs the theorem.

this substantiates the theorem

Employs "substantiates" in place of "validates", indicating a firm basis for the theorem.

the theorem is thus validated

Rearranges the sentence structure to passive voice.

the evidence validates the theorem

Specifies that it is the evidence that performs the validation.

the results validate the theorem

Highlights that the results of an experiment or analysis are what validate the theorem.

this proves the theorem's validity

Changes the verb to "proves" and uses "validity" as a noun.

the study findings validate the theorem

Similar to alternative 7, but focuses on study findings to offer validation.

FAQs

What does it mean when something "validates the theorem"?

When something "validates the theorem", it means that evidence, results, or findings confirm or support the correctness or applicability of the theorem. It provides justification or proof that the theorem holds true under certain conditions.

What can I say instead of "this validates the theorem"?

You can use alternatives like "this confirms the theorem", "this verifies the theorem", or "this supports the theorem" depending on the level of confirmation you want to express.

How do I use "this validates the theorem" in a sentence?

You can use "this validates the theorem" after presenting results or evidence that support the theorem. For example, "The experimental data aligns with the predicted outcomes; therefore, this validates the theorem."

In what contexts is it appropriate to use the phrase "this validates the theorem"?

The phrase "this validates the theorem" is suitable in academic, scientific, or technical contexts where you need to state that certain findings or data provide evidence for the correctness or applicability of a theorem. Ensure that the "this" clearly refers to the supporting evidence.