by calculations

USAGE SUMMARY

The phrase "by calculations" is correct and usable in written English.
It can be used when referring to the process of determining something through mathematical or logical reasoning. Example: "The results were verified by calculations to ensure accuracy."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

His daily life was governed by calculations of proximity to the nearest rest room.

The New Yorker

I suspect I won't be the only viewer who makes choices influenced by calculations about the integrity of the contests.

The New York Times - Sports

But, of course, Europe's own posture in the region is no less constrained by calculations of interest.

The Economist

De Broglie's proposal answered a question that had been raised by calculations of the motion of electrons within the atom.

Encyclopedia Britannica

The decision on the rate cut was based on data supplied by insurers and by calculations made by state officials on how much money will be saved.

The New York Times

"By calculations that some consulting firms did, a U.S. car was two thousand dollars more expensive to build than a comparable foreign product".

The New Yorker

The magnitude of this process can be appreciated by calculations indicating that it takes 1,000 tons of phytoplankton to support the growth of one ton of fish.

Encyclopedia Britannica

Radii are found from eclipsing binary systems, from direct measurements in a few favourable cases, by calculations, and from absolute visual magnitudes and temperatures.

Encyclopedia Britannica

The book succeeded, slowly, in getting the issue of overpopulation into political and public consciousness, an idea now acknowledged by calculations of the "ecological footprint" of anything from nappies to nations.

The Guardian

Those decisions tend to be driven more by calculations of potential profit and how much capacity is needed to meet expected demand than by the cost of borrowing money.

The New York Times

By calculations we obtain (5.2).

Boundary Value Problems

Expert writing Tips

Best practice

When using "by calculations", ensure the context clearly indicates what is being determined or verified through the calculations. For instance, specify the data sources and methods used in the calculation for clarity.

Common error

Don't use "by calculations" without providing context. Always specify what data or methods were involved. Vague references reduce the credibility of your statement.

Linguistic Context

The phrase "by calculations" functions primarily as an adverbial phrase, modifying a verb to indicate the method or means by which an action is performed or a result is obtained. This is supported by Ludwig, which shows examples where it specifies how experimental results are verified or how design procedures demonstrate efficacy.

Expression frequency: Very common

Frequent in

Science

74%

News & Media

19%

Encyclopedias

7%

Less common in

Formal & Business

0%

Reference

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, the phrase "by calculations" is a grammatically sound and frequently used expression, as confirmed by Ludwig. It serves to indicate that a conclusion, result, or decision is grounded in quantitative methods. Predominantly found in scientific, academic, and news contexts, "by calculations" lends credibility and objectivity to statements. The phrase emphasizes a methodological approach using numbers and formulas, distinguishing it from more qualitative forms of analysis. When employing "by calculations", clarity is paramount; be sure to specify the data, methods, or models used to derive the result.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

through computation

This alternative replaces "calculations" with the more formal "computation", focusing on the act of computing.

via computation

This alternative replaces the preposition "by" with "via", offering a slightly more formal tone.

using mathematical methods

This alternative explicitly states the use of mathematical approaches.

based on mathematical models

This alternative emphasizes the use of models for calculation.

derived computationally

This alternative uses "derived" to indicate the result obtained from computation.

computationally determined

This alternative highlights that the determination was achieved through computation.

using numerical analysis

This alternative specifies "numerical analysis" as the calculation method.

with the aid of computations

This alternative emphasizes the assisting role of the computations.

from a computational standpoint

This alternative emphasizes the perspective of the calculation.

through estimations

This alternative replaces "calculations" with "estimations", indicating an approximate calculation.

FAQs

How can I use "by calculations" in a sentence?

You can use "by calculations" to explain how a result was obtained, such as "The efficiency of the engine was determined "by calculations" of energy input and output".

What are some alternatives to "by calculations"?

Some alternatives include "through computation", "using mathematical methods", or "based on mathematical models". Consider the specific context to choose the most appropriate alternative.

Is it better to say "determined by calculations" or "determined through calculations"?

Both "determined "by calculations"" and "determined through calculations" are grammatically correct and acceptable. The choice depends on personal preference and the flow of the sentence.

What is the difference between "by calculations" and "through analysis"?

"By calculations" implies a quantitative approach using numbers and formulas, while "through analysis" suggests a more qualitative, interpretive process.