be a negative constant

USAGE SUMMARY

The phrase "be a negative constant" is correct and usable in written English.
It can be used in mathematical or scientific contexts to describe a value that remains negative and does not change. Example: "In this equation, we can assume that the variable will be a negative constant throughout the analysis."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Let c be a negative constant.

Algorithms for Molecular Biology

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

end{aligned} But we obtain the contradiction (L_{j} = - infty), because the last term is a negative constant.

Advances in Difference Equations

Also, (eta ^{ijk}) is the totally antisymmetric unit tensor, (lambda ) is a dimensionless constant and (Lambda ) is a negative constant which is related to the cosmological constant in the IR limit.

Journal of Theoretical and Applied Physics

When (q < 1 - mathrm{e}^{ - L(r_{1}T_{1} - r_{2}T_{2})}), the first term of (phi (S)) tends to 0 as S approaching to +∞, the second term is a negative constant, the third term is less than 0. So when S is large enough, (phi (S <0) holds.

Advances in Difference Equations

Example 3.1 Let a, b : T → R be scalar functions given by a ( t ) = e α ( t, t 0 ) − 1, b ( t ) = 1 2 e α ( t, t 0 ) − 1, where α is a negative regressive constant and lim t → ∞ e α ( t, t 0 ) = 0 for fixed t 0 ∈ T. If we put s ( t ) = 1 for each t ∈ T, then s ( t ) and s − 1 ( t ) are bounded and nonzero functions.

Advances in Difference Equations

Consider (6) E max ⁡ = E 1 + E 2 V t − V u, where E1 is constant; E2 is a negative-valued constant to account for decreasing elastance of the ventricle.

BioMed Research International

where U w is a positive or a negative constant.

Boundary Value Problems

As prime example (see Cochrane and Saá-Requejo (2000), or the Section "A case study: Hedging a put option on a non-traded but correlated asset"), simply think of h≥0 to be a non-negative constant which defines a level beyond which Sharpe ratios are overly attractive, i.e., good deals.

Probability, Uncertainty and Quantitative Risk

While ε or μ is a negative value, the propagation constant k becomes an imaginary number.

EURASIP Journal on Wireless Communications and Networking

Thus, a negative constant C exists, which is independent of i, such that (operatorname{Re}(lambda^{pm}_{i})< C) for any i.

Advances in Difference Equations

Then are all negative constants; at this point, there exists a constant, and (2.34) takes the form (2.37).

Advances in Difference Equations

Expert writing Tips

Best practice

When using "be a negative constant" in mathematical or scientific writing, ensure the context clearly defines what the constant represents and its units of measurement.

Common error

Avoid assuming that if something is a "negative constant", it cannot be zero. A constant is simply a value that doesn't change within a specific context, and it can certainly be zero.

Linguistic Context

The phrase "be a negative constant" functions as a descriptor within mathematical and scientific contexts, specifying the characteristic of a variable or parameter. Ludwig AI shows this usage in protein sequences and cosmological models.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

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Ludwig's WRAP-UP

In summary, the phrase "be a negative constant" is a grammatically correct descriptor primarily utilized within formal scientific and mathematical contexts to define a variable as a fixed value less than zero. According to Ludwig AI, it appears predominantly in scientific literature, such as research papers on protein sequences and cosmological models. While the phrase itself is straightforward, precise usage is crucial to ensure accurate communication in technical fields. Alternative phrasings like "represent a negative constant" or "act as a negative fixed value" can be employed depending on the desired emphasis.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

represent a negative constant

Changes the verb to "represent", focusing on the symbolic role of the constant.

be considered a negative constant

Emphasizes the assigned status of the constant rather than its inherent nature.

act as a negative constant

Focuses on the functional role of the phrase in the calculation.

remain a negative constant

Highlights the stability of the negative value over time or within a system.

be a fixed negative number

Substitutes "constant" with the more general term "number".

be a negative fixed value

Replaces "constant" with "fixed value", which has similar implications.

be treated as a negative constant

Indicates that the value is handled as a constant for specific reasons.

be defined as a negative constant

Focuses on the explicit assignment of the negative constant's value.

be equivalent to a negative constant

Highlights that one value is the same as a negative constant.

assume a negative constant value

Suggests a temporary assumption that the variable has a negative constant value.

FAQs

How can I use "be a negative constant" in a sentence?

You can use "be a negative constant" to describe a value that remains negative and unchanging within a particular context, as in "Let c "be a negative constant" in this equation".

What does it mean for a value to "be a negative constant"?

For a value to "be a negative constant" means it is a fixed, unchanging value that is less than zero. It does not vary or fluctuate within the given context or equation.

Are there alternatives to saying "be a negative constant"?

Yes, you can use phrases like "represent a negative constant", "remain a negative value", or "act as a negative fixed value" depending on the specific nuance you wish to convey.

In what fields is it most common to encounter the phrase "be a negative constant"?

The phrase "be a negative constant" is most commonly encountered in mathematical, scientific, and engineering fields, where precise and unchanging values are frequently used in equations and models.