formulae in which

USAGE SUMMARY

The phrase "formulae in which" is correct and usable in written English.
It can be used when referring to specific formulas or equations that are defined or described in a particular context. Example: "The study presents several formulae in which the variables are clearly defined and explained."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

Rather, the President's words are perversely dignified by the faux-poetic formulae in which they are rendered: I remember hearing from one of my instructors, "The United States has never lost a war".

The New Yorker

The lower part of the figure shows three sample fragments and structural formulae, in which the fragment is shown in red.

Chemistry Central Journal

(1978a, 72-3) {§2.2} Synthesis is when, beginning from principles and running through truths in order, we discover certain progressions and form tables, as it were, or sometimes even general formulae, in which the answers to what arises later can be discovered.

SEP

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

Both MetalX and Adventure follow the Tony Hawk formula in which players wander around at their own pace.

The New York Times - Tech

For example, there are astonishing formulas in which an endless procession of smaller and smaller numbers adds up to pi.

The New Yorker

"We will find a formula in which the secular state will live in peace with the religious state," he said.

The New York Times

Most chemists used "four-volume" formulas, in which benzene was given as C24H10H2, but there were also "two-volume" formulas (C12H5H) and Gerhardt's own unitary formulas (C6H6).

Encyclopedia Britannica

In a B.C.S. formula in which the lower score is best, Oklahoma's score is 1.80, Ohio State's is 7.52 and U.S.C.'s is 7.71.

The New York Times - Sports

To be taken seriously, the evaluation system must be based on a clear formula in which the student achievement component carries the preponderance of the weight.

The New York Times

It was a simple formula in which he asked, with studied politeness and resolute persistence, very personal questions that often produced penetrating insights into his interviewees' characters.

The Guardian

Moreover, the bank allocates aid to the poorest countries according to a formula in which "governance", broadly defined, plays much the biggest role.

The Economist

Expert writing Tips

Best practice

When using "formulae in which", ensure that the relationship between the formulas and the elements they contain is clearly defined. Avoid ambiguity by specifying what the formulas are used for or how they apply to the given context.

Common error

Avoid unnecessarily complex sentence structures when using "formulae in which". A simpler construction can often convey the same information more effectively. For example, instead of "These are the complex formulae in which several variables interact in a non-linear fashion", consider "These complex formulae involve non-linear interactions between several variables".

Linguistic Context

The phrase "formulae in which" functions as a relative clause, modifying a noun (typically "formulae", "equations", or similar terms) by specifying a characteristic or condition. As Ludwig AI states, this phrase is grammatically correct and usable in written English. Examples from Ludwig illustrate its use in scientific and academic contexts.

Expression frequency: Rare

Frequent in

Science

67%

News & Media

22%

Encyclopedias

11%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "formulae in which" is a grammatically sound and usable phrase that introduces relative clauses specifying the elements, relationships, or conditions within mathematical or scientific formulas. While Ludwig AI confirms its correctness, its use is more frequent in formal and scientific contexts. When using the expression, remember to ensure clarity and avoid overcomplicating sentence structure. Alternatives such as "equations where" or "formulas that involve" can be considered depending on the context and desired tone.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

equations in which

Swaps "formulae" for "equations", a direct synonym, maintaining the original structure.

equations where

Replaces "formulae" with "equations" and "in which" with "where", offering a more concise phrasing.

formulas by which

Substitutes "in which" with "by which", emphasizing the means or method the formulas employ.

expressions wherein

Replaces "formulae" with "expressions" and "in which" with "wherein", resulting in a more formal tone.

formulae that involve

Changes the structure to highlight the formulas' involvement of certain elements.

models within which

Uses "models" instead of "formulae", implying a broader scope and "within which" for spatial or conceptual containment.

systems where

Substitutes "formulae" with "systems", indicating a set of related components, and "in which" with "where".

calculations that include

Transforms the phrase to emphasize the inclusion aspect of the formulas, changing the structure significantly.

algorithms that define

Shifts the focus to the defining aspect of algorithms, altering the original phrase's emphasis.

rules under which

Replaces "formulae" with "rules", suggesting a guiding principle, and "in which" with "under which", indicating governance.

FAQs

How can I use "formulae in which" in a sentence?

You can use "formulae in which" to describe the components or relationships within mathematical or scientific formulas. For example, "The paper presents several "formulae in which" the variables are clearly defined".

What are some alternatives to "formulae in which"?

Alternatives include phrases like "equations where", "formulas that involve", or "expressions wherein", depending on the specific context and desired level of formality. You can find more alternatives "here".

Is it more appropriate to use "formulae in which" or "formulas that include"?

Both are grammatically correct, but "formulae in which" is more formal and emphasizes the context or environment within the formula, whereas "formulas that include" simply highlights the components. The choice depends on the desired tone and emphasis of your writing.

What is the difference between "formulae in which" and "equations in which"?

"Formulae" is the plural of "formula", and "equations" refers specifically to mathematical statements asserting the equality of two expressions. While often interchangeable, "equations in which" is more precise when referring to equations specifically, while ""formulae in which"" can encompass broader types of formulas.