by solving

USAGE SUMMARY

The phrase "by solving" is correct and usable in written English.
It can be used to indicate the method or process of finding a solution to a problem or challenge. Example: "You can improve your math skills by solving various types of equations regularly."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

You interpret distress signals by solving simple mathematical sequences.

The Guardian - Tech

People earn new coins by solving network security problems.

The New York Times

Ben made his fortune by solving world hunger.

The New York Times

Science progresses by solving more problems.

SEP

By solving Eqs.

International Journal of Mechanical and Materials Engineering

Finally, by solving Eqs.

Advances in Difference Equations

(e) Update by solving the convex problem.

EURASIP Journal on Advances in Signal Processing

(27) We start by solving problem (26).

Boundary Value Problems

Theoretically, for fixed (rho ), by solving Eqs.

Journal of Industrial Engineering International

By solving this, we get (2.17).

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

1 human-written examples

(7 By solving Eqs.

Journal of Petroleum Exploration and Production Technology

Expert writing Tips

Best practice

When using "by solving", ensure that the noun following the phrase accurately reflects the problem that is being addressed. For example, "by solving the equation" clearly identifies the problem.

Common error

Avoid using "by solving" when the action doesn't directly address the core issue. Ensure that the "solving" action is a fundamental step in achieving the desired outcome.

Linguistic Context

The phrase "by solving" functions as a prepositional phrase that modifies a verb, adverb, or adjective. It indicates the means or method by which an action is accomplished. According to Ludwig AI, it is a correct and usable phrase in written English.

Expression frequency: Very common

Frequent in

Science

76%

News & Media

15%

Formal & Business

3%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "by solving" serves as a versatile prepositional phrase that signifies a method of achieving a result. Ludwig AI confirms its validity in English writing, supported by numerous examples across diverse contexts. Predominantly featured in scientific literature, it also holds presence in news and business domains. Alternative phrases like "through resolving" offer nuanced substitutes. When utilizing "by solving", ensuring the subsequent noun accurately represents the addressed problem is crucial for clarity. Overall, it's a very common and grammatically sound phrase for expressing the means to an end.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

by resolving

A more concise version, focusing on the act of resolution.

through resolving

Focuses on the process of resolution as the means.

via problem-solving

Highlights the problem-solving aspect of the action.

by addressing

Emphasizes the act of dealing with or tackling an issue.

by figuring out

Emphasizes the cognitive aspect of finding a solution.

by working out

Suggests a process of effort and calculation.

by determining

Focuses on establishing or ascertaining a solution.

through the solution of

A more formal and elaborate way to express the same idea.

by cracking

Implies overcoming a difficult or complex problem.

by untangling

Suggests resolving a complicated or intricate issue.

FAQs

How to use "by solving" in a sentence?

Use "by solving" to describe the method or process of finding a solution to a problem. For example, "You can improve your math skills by solving various types of equations regularly."

What can I say instead of "by solving"?

You can use alternatives like "through resolving", "via problem-solving", or "by addressing" depending on the context.

Is it correct to say "solve by" instead of "by solving"?

While "solve by" can be used, it typically requires additional context. "By solving" is generally more direct and grammatically versatile for expressing the means of achieving a solution. It often depends on the sentence structure.

What's the difference between "by solving" and "through solving"?

Both phrases are quite similar, but "by solving" emphasizes the direct action leading to a solution, whereas "through solving" might suggest a more gradual or process-oriented approach to reaching the solution.