by arithmetic

USAGE SUMMARY

The phrase "by arithmetic" is correct and usable in written English.
It can be used when referring to calculations or processes that involve arithmetic operations. Example: "The total cost can be determined by arithmetic, adding the prices of all items together."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

48 human-written examples

According to the most influential model of number processing, the Triple Code Model by Dehaene and colleagues [ 1- 4], numerical cognition rests on the representation of numerical magnitude and its further processing by arithmetic procedures, as well as on arithmetical facts stored in long-term memory.

Behavioral and Brain Functions

First, weather is nonlinear, meaning that it abides by exponential rather than by arithmetic relationships.

The New York Times - Magazine

Median wages lag average productivity in part by arithmetic, given an expanding labour force relative to population.

The Guardian - Opinion

It also created a system for recognizing top players by arithmetic rating and by titles based on tournament performance.

Encyclopedia Britannica

When asked to think of a random number between 1 and 10, most people will think of 7. Our response is determined by arithmetic.

The Guardian

Author solves life's complications by arithmetic; adding and subtracting the numbers on his Social Security card, drivers' license, draft-registration number, etc.

The New Yorker

Human-verified similar examples from authoritative sources

Similar Expressions

12 human-written examples

Children learned the alphabet by reading simple words, rather than by memorization; arithmetic by manipulating objects, rather than by dealing with abstractions; and geography by taking field trips.

Encyclopedia Britannica

By arithmetic-geometric mean inequality, we have 1 − ( 1 + n ) μ n + n μ 1 + n ≥ 0 (2.1).

Journal of Inequalities and Applications

Bose's case-by-case arithmetic leads her in the end to estimate that between 50,000 and 100,000 people died in 1971.

The Guardian - Books

Each layer contains various nodes connected by arcs and weighted by some arithmetic function.

Plosone

In this study, WQI was calculated by the arithmetic index method as described by Cude (2001).

Applied Water Science

Expert writing Tips

Best practice

When using "by arithmetic", ensure the context clearly indicates that a calculation or mathematical process is the means by which a result is obtained. For instance, "The average was determined by arithmetic mean."

Common error

Avoid using "by arithmetic" when the process involves more complex mathematical tools or reasoning beyond basic operations. Use more specific terms like "by statistical analysis" or "by calculus" to accurately reflect the method.

Linguistic Context

The phrase "by arithmetic" functions primarily as an adverbial phrase, modifying a verb to indicate the means or method used to achieve a particular outcome. Ludwig shows it's typically used to specify that a result is obtained through calculation.

Expression frequency: Uncommon

Frequent in

Science

55%

News & Media

25%

Encyclopedias

10%

Less common in

Wiki

5%

Formal & Business

5%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "by arithmetic" functions as an adverbial phrase indicating that a result is obtained through calculation. Ludwig AI confirms that it is grammatically correct and suitable for use in formal contexts, particularly in scientific and technical writing. While "by arithmetic" may not be as common as other similar phrases, its use provides precision and clarity. When seeking alternatives, consider options such as "through calculation", "via computation", or "using mathematical methods". Just ensure that you choose the phrase that accurately reflects the level of detail appropriate for your audience and the context in which it's being used. By avoiding misunderstandings about its scope, you can effectively use "by arithmetic" to communicate the mathematical processes behind your conclusions.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

using arithmetic operations

Specifies the type of mathematical operations involved, adding clarity but also length.

by means of arithmetic

A more formal way of saying "by arithmetic", emphasizing the tool or method used.

through calculation

Emphasizes the process of calculating to achieve a result, differing slightly in focus from the means by which something is determined.

arithmetically

Adverbial form emphasizing the manner in which something is determined, focusing purely on the method.

via computation

Highlights the use of computational methods, similar to arithmetic but potentially encompassing more complex algorithms.

by numerical computation

Highlights the computational aspect of using numbers, similar to "by arithmetic" but more technical.

using mathematical methods

Broadens the scope to include various mathematical techniques, not just basic arithmetic operations.

based on calculations

Focuses on the foundation of calculations as the basis for a decision or conclusion, shifting the emphasis slightly.

through numerical analysis

Suggests a more formal and detailed mathematical analysis, going beyond simple arithmetic.

via mathematical reasoning

Emphasizes the logical process of mathematical thinking, which encompasses more than just arithmetic.

FAQs

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

You can use "by arithmetic" to indicate that a result or conclusion is obtained through mathematical calculations. For example, "The total cost was determined "by arithmetic", adding all the individual item prices together."

What are some alternatives to saying "by arithmetic"?

Alternatives include "through calculation", "via computation", or "using mathematical methods", depending on the specific context and the level of detail you want to convey.

Is it appropriate to use "by arithmetic" in formal writing?

Yes, "by arithmetic" is appropriate in formal writing, especially in scientific or technical contexts where mathematical processes are being described. However, ensure the level of detail is suitable for your audience.

What's the difference between "by arithmetic" and "by estimation"?

"By arithmetic" implies a precise calculation, whereas "by estimation" suggests an approximate or rough calculation. Choose the phrase that accurately reflects the method used.