be a positive constant

USAGE SUMMARY

"be a positive constant" is correct and usable in written English.
You can use it to describe a value or quantity that remains steady and unchanged over time. For example, "The temperature in the room must be a positive constant in order for the experiment to work."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

53 human-written examples

Let, and let be a positive constant.

Journal of Inequalities and Applications

Let be a positive constant, and,,.

Boundary Value Problems

Let (M > 0) be a positive constant.

Advances in Difference Equations

Let ω be a positive constant.

Journal of Inequalities and Applications

where u 0 be a positive constant.

Journal of Inequalities and Applications

Let γ be a positive constant.

Boundary Value Problems

Human-verified similar examples from authoritative sources

Similar Expressions

7 human-written examples

where is a positive constant.

Journal of Inequalities and Applications

Then (M') is a positive constant.

Fixed Point Theory and Applications

T is a positive constant.

Journal of Inequalities and Applications

where a is a positive constant.

EURASIP Journal on Wireless Communications and Networking

where m A is a positive constant.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using the phrase "be a positive constant" in mathematical proofs or scientific writing, clearly define the constant and its role within the equation or model. This ensures clarity and avoids ambiguity.

Common error

Avoid using "be a positive constant" without specifying its value or range, especially in complex equations. Always provide sufficient context for the reader to understand its implications and limitations.

Linguistic Context

The phrase "be a positive constant" functions as a modifier or qualifier, specifying the nature of a variable or parameter within a mathematical or scientific context. It indicates that the quantity in question is a fixed, non-negative value. As Ludwig AI confirms, this usage is accurate and appropriate.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

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Ludwig's WRAP-UP

In summary, "be a positive constant" is a phrase commonly used in scientific and mathematical writing to define a quantity that remains fixed and non-negative. Ludwig AI confirms its grammatical correctness and appropriateness. Its main purpose is to establish a clear condition or parameter within a model or analysis, ensuring that specific values remain stable throughout the process. While the phrase is predominantly found in formal contexts, particularly in scientific literature, it's crucial to clearly define the constant and its role to avoid ambiguity. Consider alternatives such as "remain a positive constant" or "let c be a positive constant" for stylistic variation.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

remain a positive constant

Focuses on the consistency of the constant over a period of time.

let c be a positive constant

Specifies 'c' as a positive constant, useful in mathematical definitions and proofs.

assume a constant positive value

Emphasizes the value is both constant and positive.

consider a positive constant

Suggests the constant is being taken into account or used in an analysis.

suppose a constant is positive

Expresses a condition or assumption about the nature of the constant.

where c is a positive constant

Provides context and defines 'c' within a formula or equation.

let alpha be a positive constant

Declares 'alpha' as being a positive constant for use in equations.

throughout this paper, let c be a positive constant

Explicitly defines c in the scope of a paper.

where lambda is a positive constant

Defines lambda in the context of a scientific paper or mathematical equation.

fix a positive constant

Describes a positive constant that has been pretermined.

FAQs

How do I use "be a positive constant" in a mathematical context?

In mathematical contexts, "be a positive constant" is used to define a value that doesn't change and is greater than zero. For example, "Let k "be a positive constant" representing the rate of decay."

What's the difference between "be a positive constant" and "be a variable"?

A positive constant /s/remains+unchanged, while a variable is a symbol that represents a value that can change or vary within a given problem or experiment.

When is it appropriate to use the phrase "be a positive constant" in scientific writing?

Use "be a positive constant" when you need to define a non-negative quantity that doesn't change during your analysis. It's common in defining parameters in models or equations, such as "Let C "be a positive constant" representing the speed of light."

What are some alternatives to "be a positive constant" that I can use to vary my writing?

Depending on the context, you can use alternatives such as "remain a positive constant", "assume a constant positive value", or "let c "be a positive constant"" to express the same idea with slightly different emphasis.