apply the results

USAGE SUMMARY

The phrase "apply the results" is correct and usable in written English.
You can use it when discussing the implementation or utilization of findings from research, analysis, or experiments in a practical context. Example: "After conducting the experiment, we need to apply the results to improve our product design."

✓ Grammatically correct

Science

Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

Furthermore, knowing that for Rayleigh fading channels, E h 00 − 2 / α and E h 0 i 2 / α are Gamma functions, we may apply the result [20] E h 00 − 2 / α E h 0 i 2 / α = 2 Π / α sin ( 2 Π / α ), (21).

EURASIP Journal on Wireless Communications and Networking

Applying the result (1.8) to (1.13), after a little simplification, we easily arrive at the required result (1.10).

Journal of Inequalities and Applications

holds true, with equality if and only if x = y = z = 0. Applying the result (43) to the function (41), we deduce the relation (42).

Journal of Inequalities and Applications

We can easily get biglvert D_{n,q}^{ast}(f;x -f(x -fgrvert leq biggl{ 1+frac{1}{delta} bigl( D_{n,q}^{ast}(t-x bigrvertigr) ^{frac{1}{2}} biggr} omega (f;deleq) if we choose (delta=delta_{n,x}), and biggl{lying the result (2) of Lemma 2.2, we get the result.

Journal of Inequalities and Applications

For comparison with SQAM, we apply the results of [17] in Fig. 8.

EURASIP Journal on Wireless Communications and Networking

In Section 4 we apply the results of Section 3 to impulsive q k -difference equations and prove existence and uniqueness results.

Advances in Difference Equations

In the final section, Section 4, we apply the results obtained in Sections 2 and 3 to a convex minimization problem.

Fixed Point Theory and Applications

Now we apply the result of (27) and Theorem 7, and we can rewrite (widetilde{C}^{(2)}_{j,lambda}(x)) as follows.

Advances in Difference Equations

Moreover, applying the results of [28, 32, 33] the high order ADSs for the numerical solution of a Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP can be presented.

Boundary Value Problems

Hence we can apply the results from Theorem 2.1.

Journal of Inequalities and Applications

In this section, we only apply the results in Section 3 to study nonlinear fractional differential equation boundary value problems.

Boundary Value Problems

Expert writing Tips

Best practice

When discussing research, clearly state how you plan to "apply the results" to ensure the practical implications of your work are understood.

Common error

Avoid overstating the immediate impact of the results. Clearly define the scope and limitations of how the results can be applied to prevent unrealistic expectations.

Linguistic Context

The phrase "apply the results" functions as a directive, indicating an action to be taken based on previously obtained findings. It suggests implementing or utilizing the information gathered from a study or experiment. Ludwig's AI confirms its usability in written English.

Expression frequency: Missing

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Ludwig's WRAP-UP

In summary, "apply the results" is a grammatically correct phrase used to describe the practical implementation of findings from research or analysis. While there are no exact usage examples available in Ludwig, its AI suggests the phrase is appropriate for written English. When using this phrase, it's important to be clear about the specific actions being taken and to avoid overstating the potential impact. Alternative phrases such as "implement the outcomes" or "utilize the findings" may be suitable depending on the context. This phrase is most frequently found in formal and scientific writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

implement the outcomes

Focuses on the practical execution and deployment of the results.

utilize the findings

Emphasizes the practical use of the results that were discovered.

employ the outcomes

Stresses the active use of the results in a specific application.

leverage the results

Highlights using the results to gain an advantage or improve efficiency.

draw upon the findings

Suggests using the results as a basis or foundation for further action.

translate the results into action

Emphasizes the conversion of results into concrete steps or measures.

put the results into practice

Focuses on the practical application of the results in a real-world setting.

capitalize on the findings

Emphasizes taking full advantage of the results to achieve a desired outcome.

exploit the results

Suggests using the results strategically, often for a specific purpose or gain.

action the outcomes

Highlights the process of taking decisive steps based on the results obtained.

FAQs

How can I rephrase "apply the results" in a research paper?

Consider using alternatives like "implement the outcomes", "utilize the findings", or "put the results into practice" to add variety to your writing.

What is the difference between "apply the results" and "interpret the results"?

"Apply the results" refers to using the findings in a practical context, while "interpret the results" means explaining the meaning and significance of the findings. One focuses on action, the other on understanding.

In what context is it appropriate to use "apply the results"?

It's appropriate to use "apply the results" when discussing how findings from research, experiments, or analysis will be used to solve a problem, improve a process, or inform a decision.

What are common synonyms for "apply the results" in a business setting?

In a business context, you might use synonyms like "leverage the results", "capitalize on the findings", or "translate the results into action" to convey the same meaning.