be a nonnegative constant

USAGE SUMMARY

The phrase "be a nonnegative constant" is correct and usable in written English.
It can be used in mathematical or scientific contexts where you need to specify that a variable or value should be a constant that is either zero or positive. Example: "Let x be a nonnegative constant representing the minimum threshold for the experiment."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

Let be a nonnegative constant.

Journal of Inequalities and Applications

(i) Let be a nonnegative constant.

Journal of Inequalities and Applications

Let and be constants, and let be a nonnegative constant.

Journal of Inequalities and Applications

Let u, f, g be nondecreasing continuous functions defined on R+ and let c be a nonnegative constant.

Journal of Inequalities and Applications

Let (u(t)) and (b(t)) be nonnegative functions defined for (tinmathbf{N}_{0}), and c be a nonnegative constant.

Journal of Inequalities and Applications

Let u, f, g be real-valued nonnegative continuous functions defined for x ≥ 0, y ≥ 0 and let c be a nonnegative constant.

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

where is a nonnegative constant.

Journal of Inequalities and Applications

(5) where λ is a nonnegative constant.

Advances in Difference Equations

where η l is a nonnegative constant.

Advances in Difference Equations

where K is a nonnegative constant.

Journal of Inequalities and Applications

where is a nonnegative constant, then we have (1.2).

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using "be a nonnegative constant", clearly define the context in which the constant is being used, especially its units or the range of values it can take within the problem or equation.

Common error

Avoid stating that a value "be a nonnegative constant" without providing a logical or mathematical justification for why it cannot be negative. Always explain the constraints that lead to this conclusion.

Linguistic Context

The phrase "be a nonnegative constant" functions as a definitional statement, specifying the nature of a variable within a mathematical or logical context. It restricts the possible values of the variable to include zero and all positive numbers. Ludwig AI confirms its correct usage.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "be a nonnegative constant" is a grammatically correct and usable phrase, as confirmed by Ludwig AI. It is primarily used in scientific and mathematical contexts to define a variable that can be zero or positive. While not extremely common, its usage is well-established in academic literature. Related phrases include "be a positive or zero constant" and "be a constant greater than or equal to zero". When using this phrase, ensure to justify the nonnegativity of the constant within the given context. The register is formal and scientific, reflecting its prevalence in academic and research settings.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

be a non-negative constant

Replaces "nonnegative" with "non-negative", which is a stylistic variation with the same meaning.

be a positive or zero constant

Explicitly states the two possibilities covered by "nonnegative", offering clarity in some contexts.

be a zero or positive constant

Reorders the possibilities covered by "nonnegative", same meaning.

be a constant greater than or equal to zero

Uses inequality to express the condition of being nonnegative.

be a real constant greater than or equal to zero

Specifies that the constant is real, adding precision, especially useful in mathematical contexts.

be a constant that is not negative

Expresses the condition in terms of not being negative, rather than being positive or zero.

be a non-negative real number constant

Adds "real number" to emphasize the type of constant.

assume a nonnegative constant value

Emphasizes the act of assuming a value for a nonnegative constant.

let it be a nonnegative constant

Phrases it as an assignment or definition.

consider a constant which is nonnegative

Expresses the act of taking into account such constant

FAQs

How do I use "be a nonnegative constant" in a sentence?

In mathematical or scientific writing, use "be a nonnegative constant" to define a variable whose value is either zero or positive. For example, "Let k "be a nonnegative constant" representing the thermal conductivity of the material."

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

"Be a nonnegative constant" includes zero as a possible value, while "be a positive constant" excludes zero. If the constant can be zero, use ""be a nonnegative constant""; otherwise, use "be a positive constant".

Can I say "be a non-negative constant" instead of "be a nonnegative constant"?

Yes, "be a non-negative constant" is a stylistic variation of "be a nonnegative constant" and carries the same meaning. The choice often depends on personal preference or specific style guidelines.

What are some alternatives to "be a nonnegative constant"?

Depending on the context, you could use alternatives such as "be a positive or zero constant", "be a constant greater than or equal to zero", or simply specify a range, like "k ≥ 0" where k is the constant.