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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
total by which
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "total by which" is correct and usable in written English.
It can be used when referring to a specific amount or figure that results from a calculation or comparison. Example: "The total by which the expenses exceeded the budget was alarming."
✓ Grammatically correct
News & Media
Science
Encyclopedias
Alternative expressions(2)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
2 human-written examples
(The larger figure is the total by which Mr. Rowland said income taxes would have dropped since he took office in 1995, had this latest proposal been approved).
News & Media
The registration statement does not set out yet how many A shares will be sold on the market, nor the price which will be set, and therefore the total by which the family is seeking to reduce United's huge debt.
News & Media
Human-verified similar examples from authoritative sources
Similar Expressions
57 human-written examples
What is the total amount by which electrical signaling is modulated as a result of call recurrence rate?
Science
The amount by which total income will increase can be computed through an algebraic formula for such progressions.
Encyclopedias
We estimate that to meet the annual allowable cut (AAC) of approximately 375,000 cubic metres (m3), the firm loses $500,000 annually (measured by the amount by which total harvesting costs exceed log values delivered at the mill).
Science
where, λ k is the surplus variable for SU k and represents the amount by which the total allocated rate is exceeded.
"The Cabinet Office now estimates that the centres will deliver savings of around £484m in total by 2023-24, whicomparesres unfavourably with the anticipated £300m to £400m a year savings set out in the next generation shared services strategy in 2012".
News & Media
Total bartender rock" — by which he means the stuff that bartenders, left to our own devices, play the most (at least in Brooklyn).
News & Media
The biopower is the total of mechanisms by which something that determining biological features of the human kind can penetrate into politics, political strategies, into the general strategy of power (Foucault 2009).
Though some groups advocate total sexual abstinence, by which they mean the avoidance of all sexual activity, in the context of birth control the term usually means abstinence from vaginal intercourse.
Wiki
The 18S rDNA copy numbers were determined by the absolute quantitation method, by which total copies were first calculated using the following equation: total 18S rDNA copies = 10([ CT − b]/ m ).
Science
Expert writing Tips
Best practice
When using "total by which", ensure that the context clearly indicates what is being totaled and what it is being compared against to derive the difference. For instance, specify "the total amount by which expenses exceeded revenue".
Common error
Avoid using "total by which" when referring to single, isolated instances. This phrase implies an aggregate or cumulative difference, not a one-time deviation. It's more appropriate when discussing accumulated changes or differences over time.
Source & Trust
88%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "total by which" functions as a prepositional phrase used to quantify a difference or extent. As Ludwig AI confirms, it's grammatically correct and serves to specify a calculated amount, such as in the examples provided, indicating a specific value derived from a comparison.
Frequent in
Science
33%
News & Media
33%
Encyclopedias
33%
Less common in
Formal & Business
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, "total by which" is a grammatically correct prepositional phrase used to precisely quantify a cumulative difference or extent. While Ludwig AI confirms its usability, it's relatively rare, often appearing in news, scientific, and encyclopedia contexts. When using this phrase, clarity is crucial: ensure you specify what's being totaled and compared. Alternatives like "overall amount of" or "aggregate extent of" may offer a suitable substitute, depending on the desired nuance and context. Be mindful that "total by which" implies an aggregate, not a single instance.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
total quantity that
Rephrases "by which" with "that", focusing on the quantity aspect.
overall amount of
Emphasizes the cumulative quantity, shifting focus from the difference to the final sum.
complete margin of
Substitutes "total" with "complete" and "by which" with "margin of", highlighting the difference or gap between two values.
aggregate extent of
Replaces "total" with "aggregate" and "by which" with "extent of", indicating a cumulative measure or scope.
cumulative difference between
Highlights the ongoing accumulation of the difference, instead of a single value.
the sum representing
Replaces with a sum representing the overall result.
net increase of
Specifically refers to the increase amount, limiting scope.
full measure of
Uses "full measure of" to indicate the total impact or degree, changing the vocabulary used.
overall reduction in
Focuses on a decrease or reduction, changing the direction of the quantity.
combined effect on
Emphasizes the impact or consequence, with reduced similarity.
FAQs
How can I use "total by which" in a sentence?
Use "total by which" to specify a cumulative amount of difference or change. For example, "The total by which this year's profits exceeded last year's is significant."
What's a good alternative to "total by which"?
Consider using alternatives like "overall amount of", or "aggregate extent of", depending on the context. These options may offer clarity or better suit the tone of your writing.
Is it correct to say "the total by which the expenses increased"?
Yes, it's grammatically correct. However, ensure the context is clear and specifies the base value against which the expenses increased. A clearer phrasing might be "the total by which the expenses increased compared to the budget".
What's the difference between "total by which" and "amount by which"?
"Total by which" implies a cumulative sum, while "amount by which" can refer to a single instance. Use "total" when aggregating multiple instances of difference.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
88%
Authority and reliability
4.1/5
Expert rating
Real-world application tested