based on the inequalities

USAGE SUMMARY

The phrase "based on the inequalities" is correct and usable in written English.
You can use it when discussing conclusions, analyses, or decisions that are derived from a set of inequalities in mathematics, economics, or social sciences. Example: "The results of the study were based on the inequalities observed in the data collected from various demographics."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

What kind of society legalizes a "public" education system based on the inequalities of birth?

The New York Times

based on the inequalities and.

Fixed Point Theory and Applications

Some bounds will be derived based on the inequalities, and some of the bounds are sharp.

Journal of Inequalities and Applications

As for applications, new error bounds for some numerical quadrature formulae are derived based on the inequalities established.

Journal of Inequalities and Applications

Based on the inequalities established, we investigate the boundedness, uniqueness, and continuous dependence on the initial value and parameter for the solution to a certain fractional differential equation.

Journal of Inequalities and Applications

This shows that the approaches based on the inequalities do not apply to Scenario.

BMC Medical Research Methodology

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

In this paper we, respectively, give simple proofs of some remarkable trigonometric inequalities, based on the Padé approximation method.

Journal of Inequalities and Applications

The fourth lower bound is in turn based on the inequality for and positive integer.

EURASIP Journal on Wireless Communications and Networking

The utility function based on the inequality aversion can be modeled as below: (9).

EURASIP Journal on Wireless Communications and Networking

Based on the inequality, some sufficient conditions guaranteeing the local exponential stability of nonlinear impulsive functional differential equations are derived.

Journal of Inequalities and Applications

The definition is based on the inequality frac{d}{dt}V [x,t ]le-gamma V [x,t ]. (10).

Advances in Difference Equations

Expert writing Tips

Best practice

When using "based on the inequalities", ensure that the inequalities are clearly defined and relevant to the argument or analysis being presented.

Common error

Avoid using "based on the inequalities" loosely without specifying which inequalities are being referenced or how they directly influence the conclusion. Ensure a clear connection is established.

Linguistic Context

The phrase "based on the inequalities" functions as a prepositional phrase, modifying a verb or noun to indicate the foundation or source upon which something is established or derived. Ludwig AI affirms its correctness, as exemplified in academic and scientific texts.

Expression frequency: Uncommon

Frequent in

Science

85%

News & Media

10%

Formal & Business

5%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "based on the inequalities" is a prepositional phrase used to establish a foundation for an argument or analysis. Ludwig AI confirms it's grammatically correct and mostly appears in formal and scientific writing, particularly in contexts dealing with mathematical or statistical derivations. When using this phrase, ensure that the inequalities being referenced are clearly defined to avoid ambiguity. Related phrases include "derived from the inequalities" and "predicated on the inequalities", which offer subtle variations in emphasis. Despite its correctness, it's essential to specify the exact inequalities used for clear communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

derived from the inequalities

Emphasizes the origin or source of the derivation.

predicated on the inequalities

Suggests a logical foundation or basis.

stemming from the inequalities

Highlights the origin and consequential flow.

grounded in the inequalities

Implies a solid and fundamental basis.

founded upon the inequalities

Suggests a formal establishment or structure.

built on the inequalities

Emphasizes a constructive process relying on the inequalities.

drawing from the inequalities

Highlights the act of extracting information from the inequalities.

informed by the inequalities

Implies that the inequalities influenced or shaped the result.

originating from the inequalities

Focuses on the starting point and initial cause.

contingent on the inequalities

Indicates that the outcome is conditional and relies upon the inequalities.

FAQs

How can I use "based on the inequalities" in a sentence?

You can use "based on the inequalities" to indicate that a conclusion, analysis, or decision is derived from or relies upon a set of inequalities. For example, "The model's predictions are "based on the inequalities" observed in income distribution."

What are some alternatives to "based on the inequalities"?

Alternatives include "derived from the inequalities", "predicated on the inequalities", or "grounded in the inequalities", depending on the specific context.

Is it correct to say "based off the inequalities"?

While "based off" is sometimes used informally, "based on" is generally considered more appropriate in formal writing. Therefore, "based on the inequalities" is preferable.

What's the difference between "based on the inequalities" and "due to the inequalities"?

"Based on the inequalities" indicates a foundation or derivation, while "due to the inequalities" implies a direct causal relationship. Choose the phrase that accurately reflects the relationship you are describing.