consider a positive constant

USAGE SUMMARY

The phrase "consider a positive constant" is correct and usable in written English.
It can be used in mathematical or scientific contexts when discussing variables or parameters that are assumed to be greater than zero. Example: "In our calculations, we will consider a positive constant to represent the growth rate."

✓ Grammatically correct

Science

Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

Consider a positive approach.

Los Angeles Times

y ˙ ( t ) = − c ( t ) y ( t − r ), where c ( t ) is a positive continuous function and delay r is a positive constant, is considered for t → ∞.

Advances in Difference Equations

The weight we will consider satisfies an condition; that is,, if there is a positive constant such that (1.3).

Boundary Value Problems

Setting with a positive constant to be specified and considering the auxiliary problem (1.9), we obtain (3.1).

Boundary Value Problems

where is a positive constant independent of and, it is possible to consider the space of functions such that (3.2).

Boundary Value Problems

Consider the linear elliptic equation of second-order: (11). in which are real functions of and is a positive constant.

Boundary Value Problems

for a positive constant.

Journal of Inequalities and Applications

Then (M') is a positive constant.

Fixed Point Theory and Applications

for a positive constant M.

Advances in Difference Equations

T is a positive constant.

Journal of Inequalities and Applications

where a is a positive constant.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When using "consider a positive constant" in mathematical proofs or scientific models, clearly define the constant and its role within the context to ensure clarity and avoid ambiguity.

Common error

A common mistake is to use "consider a positive constant" without specifying its units or any relevant bounds. Always provide sufficient context to ensure that readers understand the constant's role and limitations within the model or calculation.

Linguistic Context

The phrase "consider a positive constant" functions as an instruction or proposition within a mathematical or scientific argument. It introduces the notion of incorporating a positive fixed value into a model or calculation. As indicated by Ludwig AI, the phrase is usable in English, particularly within mathematical or scientific writing.

Expression frequency: Missing

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, the phrase "consider a positive constant" is grammatically correct and primarily used within formal scientific and mathematical contexts. As Ludwig AI confirms, it is a valid and understandable expression. The phrase serves to introduce an assumption of a value greater than zero, which then factors into further calculations or modeling. It is crucial to define clearly the units and bounds of any constant being considered. While this specific phrase may not have extensive examples, understanding its components helps to clarify appropriate usage in technical writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

assume a positive constant

Replaces "consider" with "assume", suggesting a starting point for analysis.

work with a positive constant

Highlights the use of a constant in calculations or problem-solving.

incorporate a positive constant

Stresses the act of adding the constant into a model or equation.

take a positive constant into account

Emphasizes the inclusion of the constant in a calculation.

let there be a positive constant

Introduces a positive constant into the mathematical formulation.

define a positive constant

Focuses on the definition and specification of the constant.

treat as a positive constant

Focuses on how the constant is handled during the process.

regard as a positive constant

Highlights the viewpoint or perspective taken on the constant.

stipulate a positive constant

Emphasizes the requirement of having a positive constant.

posit a positive constant

Uses "posit" to suggest putting forward the constant for consideration.

FAQs

How can I use "consider a positive constant" in a sentence?

You can use "consider a positive constant" to introduce a value assumed to be greater than zero in a mathematical or scientific context. For example: "When modeling population growth, we "assume a positive constant" representing the birth rate."

What does it mean to "consider a positive constant" in mathematics?

In mathematics, to "consider a positive constant" means to take into account a fixed value that is greater than zero. This constant is typically used within an equation, model, or proof to represent a specific quantity or relationship.

Are there alternatives to the phrase "consider a positive constant"?

Yes, you can use alternatives such as ""assume a positive constant"", "take a positive constant into account", or "let there be a positive constant" depending on the specific context and the nuance you want to convey.

In what fields is it common to "consider a positive constant"?

The phrase "consider a positive constant" is commonly used in fields such as mathematics, physics, engineering, and economics. It's typical when dealing with models or equations where certain parameters need to be positive to make sense or to fulfill specific requirements.