a strict increase

USAGE SUMMARY

The phrase "a strict increase" is correct and usable in written English.
It is typically used in mathematical or statistical contexts to describe a function or sequence that consistently rises without any decrease. Example: "The function exhibits a strict increase over the interval from 0 to 10."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

The former is because every reaction has a strict increase from reactants to product in the number of edges in the molecule labels, and the latter is because every hyperarc e in a ({{mathrm{HoR}}}) is a B-hyperarc with (|T e)| le 2).

Journal of Cheminformatics

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

If there exists a strict increasing function with such that (1.7).

Journal of Inequalities and Applications

Therefore, Restriction i guarantees that the equality ( {text{MC}}left( theta right) = {text{MC}}^ left( theta right) ) can apply at any point of increase of q*, even when this point does not belong to an interval of strict increase.

SERIEs

Let { a n } and { b n } be two nonnegative real number sequences and { α n } a positive real number sequence satisfying the conditions: ∑ n = 1 ∞ α n = ∞ and lim n → ∞ b n α n = 0. Let the recursive inequality a n + 1 ≤ a n − α n φ ( a n ) + b n, n ≥ 0, where φ ( a ) is a continuous and strict increasing function for all a ≥ 0 with φ ( 0 ) = 0. Then lim n → ∞ a n = 0. Lemma 2.6 ([6]).

Fixed Point Theory and Applications

By the strict increase of involving the support function, we have (1.11).

Journal of Inequalities and Applications

It leads to ∥ x n i + 1 − q ∥ → 0 as i → ∞ by the strict increase and continuity of φ.

Journal of Inequalities and Applications

It leads to ∥ z n i + 1 − q ∥ → 0 as i → ∞ by the strict increase and continuity of φ.

Journal of Inequalities and Applications

It leads to lim i → ∞ ∥ x n i + 1 − x n i ∥ = 0 by the strict increase and continuity of φ.

Journal of Inequalities and Applications

When considering the widely employed piecewise-linear NNs, infinite intervals with zero slope are present in activations, and it is of great interest to drop the assumptions of strict increase and continuous first derivative for the activation.

Advances in Difference Equations

be given where is a continuous and strict increasing function for all with.

Fixed Point Theory and Applications

Let the recursive inequality λ n + 1 ≤ λ n - α n ψ ( λ n ) + β n, n = 0, 1, 2 ⋯, be given, where ψ is a continuous and strict increasing function for all λ ≥ 0 with ψ(0) = 0. Then {λ n } converges to zero, as n → ∞.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using "a strict increase", ensure the context clearly defines what is increasing and the specific metric being measured. This enhances clarity and precision.

Common error

Avoid using "a strict increase" when you actually mean a large or important increase. "Strict" refers to the unwavering nature of the increase, not its magnitude. For a large increase, consider "a significant increase" instead.

Linguistic Context

The phrase "a strict increase" functions as a noun phrase, typically acting as the subject or object of a sentence. It describes a specific type of increase characterized by its unwavering nature, as suggested by Ludwig.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

The phrase "a strict increase" is a precise term used to describe consistent and unwavering growth, primarily in scientific and technical contexts. Ludwig AI confirms that it follows standard grammar rules. While "a strict increase" might not be as common as alternatives like "a significant rise", its unique emphasis on the unwavering nature of the increase makes it particularly useful in contexts requiring precision and clarity. Remember to use this phrase when you wish to communicate a trend that consistently rises without any decreases, and differentiate it from phrases that describe the magnitude or significance of an increase.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a significant rise

Replaces "strict" with "significant", indicating a notable increase.

a sharp upturn

Emphasizes the suddenness and steepness of the increase.

a steady growth

Focuses on the consistent and gradual nature of the increase, replacing "strict" with "steady".

a marked escalation

Suggests a rapid and noticeable increase, particularly in intensity or severity.

a consistent augmentation

Uses more formal vocabulary to describe a regular and sustained increase.

a notable improvement

Highlights the positive aspect of the increase, implying a move towards a better state.

a substantial expansion

Indicates a considerable enlargement or broadening, often in a quantitative sense.

a fixed increment

Focuses on a predetermined and unvarying increase.

an undeviating progression

Highlights the absence of any deviations in the increasing pattern.

a rigid advancement

Emphasizes the inflexible and unyielding nature of the increase.

FAQs

How can I use "a strict increase" in a sentence?

Use "a strict increase" to describe something that is consistently rising without any decrease. For example, "The data showed "a strict increase" in sales over the past quarter".

What are some alternatives to "a strict increase"?

Alternatives include "a significant rise", "a steady growth", or "a sharp upturn", depending on the context.

Is there a difference between "a strict increase" and "a significant increase"?

"A strict increase" implies a consistent and unwavering rise, while "a significant increase" indicates a notable or substantial rise in value or quantity. The terms are not interchangeable. Use "a strict increase" when there isn't fluctuation.

When is it appropriate to use "a strict increase" in writing?

Use "a strict increase" when describing trends or data that consistently increase over time or across different categories without any decreases. It's common in scientific and mathematical contexts, for example, but can also be used in other scenarios.