by dividing the difference

USAGE SUMMARY

The phrase "by dividing the difference" is correct and usable in written English.
It can be used in contexts involving mathematics or comparisons where one is calculating an average or finding a midpoint between two values. Example: "To find the average score, we can start by dividing the difference between the highest and lowest scores."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Differences among muscles in expression were standardised for different clones by dividing the difference between muscle medians by the square root of the common variance.

BMC Genomics

The error was estimated by dividing the difference between the dimensionless parameter and 4 over the analytical value.

Journal of Petroleum Exploration and Production Technology

Each class represents the values that fall into the incremental domains which are determined by dividing the difference of highest and lowest data value with 10.

Applied Water Science

We calculated changes in carbon storage rates by dividing the difference in carbon storage estimates between censuses by the number of years separating them.

Carbon Balance and Management

The recovery of the method was calculated by dividing the difference between the measured concentrations for the spiked samples and non-spiked samples.

Journal of Analytical Science and Technology

The AlnF extraction efficiency percentage was calculated for each resulting sample by dividing the difference between AlnF for the modified sample and AlnF for the starting material, which is equal to 23 atoms for 320HOA.

Applied Petrochemical Research

All percentages in this work related to improvements in terms of standard deviations or RMS are calculated by dividing the difference of two quantities by one of the quantities.

Earth, Planets and Space

The coefficients of the average SV (given in Table 1) were calculated by dividing the difference between the main field coefficients predicted at 2010 and those forecast at 2015 by five years.

Earth, Planets and Space

The change was computed as the difference between the two periods (absolute mean value in 1991 2014 minus that in 1961 1990), while the relative change was further computed by dividing the difference with the value in 1961 1990.

International Journal of Disaster Risk Science

In particular, antonym pairs can be sorted by dividing the difference of the two words in the given coordinate by the square root of their vector distance.

Plosone

This was done by dividing the difference in means by the difference in the means of collection years, both between periods.

Plosone

Expert writing Tips

Best practice

When describing calculations, ensure the context clearly defines what values are being subtracted to obtain the difference and what that difference is subsequently being divided by.

Common error

Avoid using the phrase "by dividing the difference" without clearly specifying what numbers or values the difference refers to. Always provide context to prevent confusion.

Linguistic Context

The phrase "by dividing the difference" functions as an adverbial phrase, modifying a verb by describing the method or manner in which an action is performed. As Ludwig AI suggests, it specifies how a calculation or comparison is made, often in quantitative contexts.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "by dividing the difference" is a grammatically correct and frequently used expression, particularly within scientific contexts. As validated by Ludwig, it serves to describe a specific mathematical operation involved in deriving a ratio, rate, or normalized value. When using this phrase, ensure clarity by specifying the values from which the difference is calculated. While examples exist, its prominence in scientific literature suggests a formal register. Alternatives such as "calculating the quotient of the difference" offer variations in emphasis.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

finding the result of dividing the difference

Emphasizes the result of the division process.

calculating the quotient of the difference

Replaces "dividing" with "calculating the quotient," emphasizing the result of the division rather than the act itself.

obtaining the ratio from the difference

Focuses on the ratio as the outcome of dividing the difference, using more formal language.

evaluating the difference through division

Highlights the evaluation aspect of the division process.

determining the difference's quotient

Rearranges the sentence structure to highlight the quotient of the difference.

deriving a quotient from the difference

Uses "deriving" to indicate obtaining the quotient, implying a more mathematical approach.

computing the difference's fraction

Uses "fraction" to represent the result of the division, adding a slightly different nuance.

working out the difference's proportion

Uses a phrasal verb "working out" to describe the calculation and focuses on finding the proportion.

assessing the ratio by difference division

Changes the focus to assessing the ratio and uses 'difference division' as a compound noun.

determining the proportional difference

Shifts the emphasis to finding the proportional difference, a more specific type of calculation.

FAQs

How is "by dividing the difference" typically used in scientific contexts?

In scientific research, "by dividing the difference" is often used to calculate rates, ratios, or normalized values. For example, it might describe calculating a change in concentration over time or determining effect sizes in experiments. The Ludwig AI analysis confirms its common use in such scenarios.

What are some alternatives to "by dividing the difference" in mathematical contexts?

Alternatives include "calculating the quotient of the difference", "obtaining the ratio from the difference", or "determining the difference's quotient". These options provide similar mathematical meanings with slight variations in emphasis.

Is "by dividing the difference" grammatically correct?

Yes, "by dividing the difference" is grammatically sound. It functions as a prepositional phrase describing a method of calculation or comparison, particularly in quantitative analysis.

What does it mean to normalize data "by dividing the difference"?

Normalizing data "by dividing the difference" typically refers to scaling data values to a standard range. For instance, you might normalize a dataset by subtracting the minimum value from each data point and then dividing that difference by the range of the dataset. The use of Ludwig confirms that it is common use to normalize data.