by computation we have

USAGE SUMMARY

The phrase "by computation we have" is correct and usable in written English.
It can be used when presenting results or findings derived from calculations or mathematical processes. Example: "By computation we have determined that the total cost will be $500."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

8 human-written examples

By computation, we have (4.7).

Boundary Value Problems

By computation we have that.

Advances in Difference Equations

Then, by computation, we have (4.3).

Boundary Value Problems

By computation, we have λ max A i + A i T = 1.

Advances in Difference Equations

By computation we have the estimate of the derivative of the second order energy (3.7) as E_{2}'(t)leq-C int_{0}^{1}bigl(theta_{ttx}^{2}+ psi _{tt}^{2}+z_{t}^{2} x,1,t bigr),dx.

Boundary Value Problems

By computation, we have biglvert f(x) bigrvert = Bigglvert sum _{n=0}^{infty}27^{-n} varphi bigl(3^{-n}x bigr) Biggrvert leqsum _{n=0}=frac{27delta}{26}}=frac{27delta}{26}lta}=frac{27delta}{26}

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

52 human-written examples

By direct computation, we have.

Advances in Difference Equations

By simple computation, we have.

Boundary Value Problems

First, by simple computation, we have (4.3).

Journal of Inequalities and Applications

By direct computation, we have rho(t)=int_{0}^{1}G(t,ds,ds.

Advances in Difference Equations

Then by simple computation we have (4.2). where.

Boundary Value Problems

Expert writing Tips

Best practice

When using "by computation we have", ensure the computation being referenced is clear and relevant to the statement that follows. Provide context or briefly explain the computation if necessary to aid understanding.

Common error

Avoid using "by computation we have" without providing sufficient context or explanation of the computation. Readers may not be familiar with the specific methods or assumptions used, leading to confusion or a lack of understanding.

Linguistic Context

The phrase "by computation we have" functions as an introductory prepositional phrase. It sets the stage for a statement that is directly derived from calculations or mathematical operations. Ludwig confirms its grammatical correctness, highlighting its role in presenting calculated results.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, "by computation we have" is a grammatically sound phrase predominantly used in scientific and technical contexts. It serves to introduce a statement that is directly derived from calculations, lending credibility and objectivity to the finding. Ludwig confirms its correctness, and while not overly common, it's an accepted phrase in formal writing. To maximize clarity, ensure that the referenced computation is clear to the reader, and consider alternative phrases such as "through calculation, we obtain" or "based on our computations, we conclude", if appropriate for your audience. The phrase is most frequently found in scientific literature, with minimal occurrence in news or business contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

through calculation, we obtain

Replaces "by computation" with "through calculation", emphasizing the method used to arrive at the result.

using calculations, we find

Highlights the use of calculations as the basis for the discovery or finding.

from our calculations, it follows that

Indicates that the subsequent statement is a logical consequence of the calculations performed.

based on our computations, we conclude

Emphasizes that the conclusion is derived directly from the computations.

after performing the calculations, we see that

Highlights the action of performing calculations as a prerequisite to the observation.

the calculation shows that

Simplifies the sentence to directly state that the calculation reveals a specific result.

numerical analysis reveals

Replaces "computation" with "numerical analysis", specifying the type of calculation used.

mathematical analysis indicates

Uses "mathematical analysis" to broaden the scope of the calculation performed.

the figures indicate

Substitutes "figures" for "computation", suggesting a data-driven result.

the results suggest

Focuses on the outcome of the calculation, rather than the process itself.

FAQs

What does "by computation we have" mean?

The phrase "by computation we have" indicates that a subsequent statement or result is derived from mathematical or numerical calculations. It signifies that a process of computation has been performed, leading to a specific finding or conclusion.

How can I rephrase "by computation we have"?

You can use alternatives like "through calculation, we obtain", "using calculations, we find", or "based on our computations, we conclude", depending on the context.

Is "by computation we have" suitable for all types of writing?

While grammatically correct, "by computation we have" is more common in scientific and technical writing. For less formal contexts, consider using simpler alternatives like "we calculated" or "we found".

What is the difference between "by computation we have" and "by observation we have"?

"By computation we have" indicates a result derived from calculations, whereas "by observation we have" implies a conclusion based on direct observation or empirical evidence. The former relies on mathematical processes, while the latter relies on empirical data.