based on this formula

USAGE SUMMARY

The phrase "based on this formula" is correct and usable in written English.
You can use it when referring to a specific formula that serves as the foundation for a conclusion, calculation, or decision. Example: "The results of the experiment were calculated based on this formula, which takes into account various environmental factors."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

23 human-written examples

Based on this formula, about 2.5 million barrels of the 30 million would be home heating oil.

The New York Times

A Monte Carlo algorithm which estimates the failure probability of an n-component system is developed based on this formula.

University of California, Berkeley

Based on this formula, we calculate the cardinality of the HCF class.

Biosystems

Based on this formula, Slovenia, with four medals and just over two million people, led the leader board.

The New York Times

Based on this formula, following Bismut approach of Malliavin calculus, we then give an integration by parts formula.

Journal of Functional Analysis

Based on this formula, effects of the geometry of lattice structure and masses of the disks are investigated.

Composite Structures

Human-verified similar examples from authoritative sources

Similar Expressions

37 human-written examples

Based on this formulas, an algorithm is developed to determine iteratively the solutions of the Hamilton equations with a desired accuracy.

IFAC Proceedings Volumes

We first provide SSE, SSY, and SSO since the rest of the formulas are based on this formulas.

Journal of Big Data

Based on this analytical formula, the influences of system parameters on IFS gravity field measurement were analyzed.

Advances in Space Research

Based on this empirical formula, simulation software is developed that gives the correct evolution of the semi-major axis (a) of our Moon for any time span from the inception to the time chosen under study.

Advances in Space Research

Based on this prediction formula, the ratio of injection production control area can be quickly decided.

Journal of Petroleum Exploration and Production Technology

Expert writing Tips

Best practice

When using "based on this formula", ensure that the formula is clearly defined and accessible to your audience. This prevents ambiguity and strengthens the logical connection between the formula and any subsequent claims or calculations.

Common error

Avoid extrapolating results beyond the intended scope of the formula. Formulas often have limitations, and applying them outside of these boundaries can lead to inaccurate or misleading conclusions.

Linguistic Context

The phrase "based on this formula" acts as a prepositional phrase, indicating the foundation or origin of a calculation, conclusion, or derivation. As Ludwig AI confirms, it connects a result or analysis to a specific mathematical or logical expression. The provided examples show it in diverse contexts, mostly related to scientific literature.

Expression frequency: Common

Frequent in

Science

71%

News & Media

21%

Wiki

8%

Less common in

Academia

8%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "based on this formula" is a grammatically correct and commonly used prepositional phrase, as Ludwig AI confirms. It serves to explicitly link a result, analysis, or conclusion to a specific formula, most frequently in scientific and technical contexts. When employing this phrase, ensure the formula is clearly defined to avoid ambiguity. While "based on" is preferred in formal writing, it is crucial to avoid extrapolating results beyond the formula's intended scope. The frequent occurrence of this phrase across academic and scientific sources highlights its importance in creating transparency and credibility by explicitly referencing the underlying basis for stated information.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

according to this formula

Indicates alignment with a formula, emphasizing compliance or agreement.

following this formula

Implies adherence to the steps or instructions outlined in the formula.

using this formula

Highlights the act of employing the formula in a calculation or process.

derived from this formula

Emphasizes the origin or source of something as stemming from the formula.

as calculated by this formula

Specifically refers to a result obtained through the application of the formula.

in light of this formula

Suggests that the formula provides insight or understanding.

based on the results of this formula

Links a conclusion or decision to the outcome of applying the formula.

predicated on this formula

Indicates that the formula is a necessary condition or foundation.

grounded in this formula

Suggests a firm basis or foundation in the principles of the formula.

relying on this formula

Emphasizes the dependence on the formula for accuracy or validity.

FAQs

How can I use "based on this formula" in a sentence?

You can use "based on this formula" to show that a calculation, conclusion, or prediction is derived directly from a specific formula. For example: "The predicted values of S 2 "based on this formula" are similar to the predicted values based on formula (5) except for the genomes of low G content (<16%)."

What phrases are similar to "based on this formula"?

Alternatives include "according to this formula", "following this formula", or "using this formula" depending on the context.

When is it appropriate to use "based on this formula" in writing?

It's appropriate when you want to explicitly state that a specific formula is the foundation for your analysis, calculations, or conclusions. This is especially useful in technical or scientific writing.

Is "based off this formula" an acceptable alternative to "based on this formula"?

While "based off" is sometimes used informally, "based on" is generally preferred in formal writing. Sticking with ""based on this formula"" maintains a more professional and precise tone.