a given square

USAGE SUMMARY

The phrase "a given square" is correct and usable in written English.
It can be used in mathematical or geometric contexts to refer to a specific square that has been previously mentioned or is understood in the discussion. Example: "In this problem, we will calculate the area of a given square with a side length of 5 units."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

12 human-written examples

Square id: identification string of a given square of the partitioning grid; Line id: identification string of the distribution power line, which is grouped with the partitioning grid square; Number of customer sites: number of customer sites present in a given square of the partitioning grid, connected to the grid powerline (Line id).

EPJ Data Science

The system uses algorithms to predict how much rain will fall in a given square kilometer.

The Guardian

For example, Book II, problem 8, seeks to express a given square number as the sum of two square numbers (here and throughout, the "numbers" are rational).

Encyclopedia Britannica

That decision is based on I.B.M.'s system, which uses computer algorithms to predict how much rain will fall in a given square kilometer — a far more precise forecast than standard weather systems provide.

The New York Times

The slave finally manages, with some pushing and pulling by Socrates and some illustrations drawn in the sand, to double the area of a given square.

SEP

Gershgorin circle theorem says that for a given square matrix A, the elements in the main diagonal give an estimate of the eigen values on the complex plane.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

48 human-written examples

So what would you say to try to get people to come out and give square dancing a whirl?

Vice

This circular average is representative of the mean orientation of each pixel gradient within a given grid square.

ACS Nano

The gradient orientation angle for each pixel in a given grid square was then shifted in order to take a circular average with respect to the angle present with the highest incidence within that grid square's orientation angle data.

ACS Nano

We then averaged the probability across all 100 1-km squares in a given 10-km square to obtain the average probability of main sett presence (per 1-km square) for each 10-km square in Britain, after White et al. [ 12].

BMC Veterinary Research

The original work to be transferred is divided into a given number of squares; the same number of squares is then marked off— with charcoal or some other easily removable medium on the surface of the receiving area.

Encyclopedia Britannica

Expert writing Tips

Best practice

When using "a given square" in technical writing, clearly define the square's properties (e.g. dimensions, coordinates) to avoid ambiguity.

Common error

Avoid using "a given square" when you mean any square. The phrase implies a specific square already under consideration. If any square will do, use "any square" or "a square."

Linguistic Context

The phrase "a given square" functions primarily as a determiner phrase modifying a noun, usually in mathematical or geometric contexts. As Ludwig AI confirms, it specifies a particular square that is already known or under consideration.

Expression frequency: Uncommon

Frequent in

Science

64%

News & Media

24%

Encyclopedias

12%

Less common in

Wiki

0%

Formal & Business

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, the phrase "a given square" is a grammatically correct determiner phrase used to denote a specific square already known or under consideration. As Ludwig AI indicates, its primary function is to specify a particular instance, mostly in science. While the phrase appears most frequently in scientific contexts, it is also present in news media and encyclopedias. Related phrases include "a specified square" and "a particular square". When using this phrase, it is important to ensure the square's properties are clearly defined, and it’s most common errors consists in overgeneralization, using "a given square" instead of "any square" when referring to general squares. The phrase is therefore suitable for formal and technical contexts where clear reference is important.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a specified square

Replaces "given" with "specified", emphasizing that the square is explicitly identified.

a particular square

Substitutes "given" with "particular", highlighting the distinctness of the square.

a defined square

Changes "given" to "defined", stressing that the square's characteristics are clearly established.

a designated square

Replaces "given" with "designated", implying the square has been assigned for a specific purpose.

a set square

Uses "set" instead of "given", focusing on a square that's already established or fixed.

an established square

Similar to "set square", it denotes a square that is recognized or confirmed.

a predetermined square

Emphasizes that the square was decided or arranged in advance.

a known square

Focuses on the fact that the square is already familiar or understood in the context.

a pre-existing square

Highlights that the square existed before the current discussion or situation.

a selected square

Indicates that the square was chosen from a group of squares.

FAQs

How to use "a given square" in a sentence?

The phrase "a given square" refers to a particular square that's already identified or understood within the context of the discussion. For example, "Calculate the area of "a given square" with sides of length 5."

What can I say instead of "a given square"?

You can use alternatives like "a specified square", "a particular square", or "a defined square" depending on the specific nuance you want to convey.

Which is correct, "a given square" or "any square"?

"A given square" refers to a specific square already mentioned or understood, while "any square" refers to any square in general. The correct choice depends on the context.

What's the difference between "a given square" and "a specific square"?

The phrases ""a given square"" and "a specific square" are largely interchangeable. Both indicate that you're talking about a particular, rather than arbitrary, square. "Specific" emphasizes clarity, while "given" highlights pre-existing knowledge.