upon the solution

USAGE SUMMARY

The phrase "upon the solution" is correct and usable in written English.
It can be used in contexts where you are referring to something that occurs or is contingent on the resolution of a problem or question. Example: "Upon the solution of the equation, we can proceed with the next steps in our analysis."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

37 human-written examples

She happened upon the solution".

The New York Times - Books

One night Mr. Bhasker hit upon the solution.

The New York Times - Arts

We'll have to keep hoping that someone chances upon the solution.

The New York Times

Figuring out exactly what you're supposed to do is just as beguiling as happening upon the solution.

The New Yorker

These properties were found to be strongly dependent upon the solution concentration.

Polymer

The proposed methodology is founded upon the solution of an optimal signal reconstruction problem.

Measurement

Human-verified similar examples from authoritative sources

Similar Expressions

23 human-written examples

But Cabrita Reis's work is always multilayered, drawing upon the solutions of minimalism while ultimately turning away from them.

Independent

Even as people can't even agree on how big the problem is (or whether there is a problem at all), there is something almost everyone agrees upon: the solutions.

The Washington Post

It is worth mentioning that in many important problems, the closed convex set Kalso depends upon the solutions explicitly or implicitly.

Fixed Point Theory and Applications

It did not take long to hit upon the solutions.

WikiHow

The method relies upon assuming the solution in the form of a Fourier series and applying the harmonic balance method.

Journal of Sound and Vibration

Expert writing Tips

Best practice

Use "upon the solution" in formal writing or scientific contexts where you want to emphasize the dependence or consequence relationship. Ensure the sentence clearly indicates what is contingent on the solution.

Common error

Avoid using "upon the solution" in informal or casual writing. The word "upon" can sound overly formal in everyday conversation. Consider using simpler alternatives like "after" or "based on" for better clarity and tone.

Linguistic Context

The phrase "upon the solution" functions as a prepositional phrase modifying a verb or noun, indicating a condition or event that is contingent on a resolution. As seen in Ludwig, it often introduces a clause that is dependent on the fulfillment of the solution.

Expression frequency: Uncommon

Frequent in

Science

44%

News & Media

40%

Academia

8%

Less common in

Wiki

8%

Formal & Business

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "upon the solution" is a grammatically correct prepositional phrase used to indicate dependence or consequence following the resolution of a problem. As Ludwig AI indicates, this phrase finds its primary application in formal and scientific writing, emphasizing a strong causal relationship. Although considered uncommon in everyday language, its precise usage is vital in professional and academic contexts where conveying conditionality is essential. Consider using alternatives like "based on the solution" or "following the solution" depending on the desired level of formality and emphasis.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

based on the solution

Replaces "upon" with "based on", indicating a foundation or reliance on the solution.

dependent on the solution

Uses "dependent on" to emphasize the reliance on the solution for subsequent actions or results.

following the solution

Indicates that something happens after the solution is found or implemented.

after the solution is found

More explicit and emphasizes the temporal aspect of something occurring after the solution.

contingent on the solution

Highlights that something is conditional and reliant on the solution being achieved.

subject to the solution

Similar to contingent, indicating that something is affected or determined by the solution.

as a result of the solution

Focuses on the solution as the cause of a subsequent outcome or event.

in light of the solution

Suggests that the solution provides a new perspective or understanding.

with the solution in hand

Implies that the solution is available and ready to be used or acted upon.

once the solution is available

Emphasizes the point in time when the solution becomes accessible or known.

FAQs

How can I use "upon the solution" in a sentence?

You can use "upon the solution" to indicate that something is dependent on or follows after a solution has been found. For example, "Upon the solution of this problem, we can move forward with the project."

What are some alternatives to "upon the solution"?

Alternatives include "based on the solution", "dependent on the solution", or "following the solution". The best choice depends on the specific nuance you wish to convey.

Is "upon the solution" formal or informal?

"Upon the solution" is generally considered a formal phrase. It is more common in academic, scientific, or legal writing than in casual conversation.

When should I use "upon the solution" instead of "after the solution"?

Use "upon the solution" when you want to emphasize a direct dependency or immediate consequence. "After the solution" simply indicates a sequence of events, whereas "upon the solution" suggests a stronger causal relationship.