be a given number

USAGE SUMMARY

The phrase "be a given number" is correct and usable in written English.
It can be used in mathematical or theoretical contexts where you want to specify a particular number without naming it directly. Example: "In this equation, let x be a given number that represents the total cost."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

Let ε be a given number.

Boundary Value Problems

Let r > 0 be a given number.

Advances in Difference Equations

Let ({0 < h < 1}) be a given number.

Journal of Inequalities and Applications

Let (Xin operatorname {ANR}) be compact and let (varepsilon>0) be a given number.

Fixed Point Theory and Applications

Corollary 2.2 Let I = ( a, b ) be a finite interval, i.e., − ∞ < a < b < + ∞ and let ϵ > 0 be a given number.

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

So for half a solar rotation you have enhanced lightning in the UK if there are a given number of thunder clouds or moisture in the air.

The Guardian

The predictive and the sampling steps are iterated a given number of times or until convergence.

BMC Genomics

Let be a given real number, satisfying.

Journal of Inequalities and Applications

Let (alphaneqfrac{1}{2}) be a given real number.

Journal of Inequalities and Applications

(i) Let (aneqfrac{1}{2}) be a given real number.

Journal of Inequalities and Applications

Let (T > 0) be a given real number.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using "be a given number" in mathematical or scientific writing, clearly define the context in which the number is being used to avoid ambiguity. For instance, specify the units or the range of possible values.

Common error

Avoid using "be a given number" in contexts where the number's specific value is crucial for understanding. Instead, provide the actual number or a more descriptive parameter.

Linguistic Context

The phrase "be a given number" functions as a determiner and identifier in mathematical and logical contexts. It introduces a variable or constant whose specific value isn't necessarily stated, but is assumed to exist or to be defined elsewhere. Ludwig examples show its use in science.

Expression frequency: Uncommon

Frequent in

Science

80%

News & Media

20%

Formal & Business

0%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "be a given number" is grammatically correct and primarily used in formal and scientific writing. As Ludwig AI confirms, this phrase often appears in mathematical or theoretical contexts where a specific numerical value is assumed but not explicitly defined. It helps in generalization and abstraction. While alternatives like "be a specific number" or "be a certain number" exist, the choice depends on the specific nuance you wish to convey. When using this phrase, ensure the context clarifies what the number represents to avoid ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

be a specific number

Replaces "given" with "specific", emphasizing the particularity of the number.

be a defined number

Substitutes "given" with "defined", highlighting that the number has a set value.

be a certain number

Uses "certain" instead of "given", indicating a known but unspecified quantity.

be a designated number

Replaces "given" with "designated", suggesting that the number has been assigned for a particular purpose.

be a fixed number

Emphasizes that the number is constant and unchanging.

be a predetermined number

Highlights that the number was established in advance.

be a pre-established number

Similar to "predetermined", but with a slightly stronger emphasis on the number having been set up previously.

be a prescribed number

Indicates that the number is required or set by a rule or authority.

be a stipulated number

Uses "stipulated" to convey that the number is agreed upon as part of a condition or agreement.

be a set number

Implies that the number has been previously established and is not subject to change.

FAQs

How can I use "be a given number" in a sentence?

You can use "be a given number" to refer to a specific number without explicitly stating its value. For example: "Let x "be a given number" representing the initial investment."

What phrases are similar to "be a given number"?

Similar phrases include "be a specific number", "be a defined number", and "be a certain number". The choice depends on the nuance you want to convey.

When is it appropriate to use "be a given number" instead of stating the actual number?

It's appropriate when you want to discuss general properties or relationships without committing to a particular value, or when the specific number is not as important as the fact that it is a constant in the context.

Is "be a given number" formal or informal language?

"Be a given number" is generally considered formal and is more commonly found in academic, scientific, or technical writing. It is less common in casual conversation.