based on this equation

USAGE SUMMARY

The phrase "based on this equation" is correct and usable in written English.
You can use it when referring to conclusions, results, or statements that derive from a specific mathematical or scientific equation. Example: "The results of the experiment were calculated based on this equation, which accurately models the observed phenomena."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

24 human-written examples

Based on this equation, one can easily and successfully design any cooling radiator.

Applied Thermal Engineering

Based on this equation, a simple computational method for wet bulb temperature (WBT) is proposed.

Energy and Buildings

By properly estimating the engineering parameters of an UPW system, a generic ν graph can also be plotted based on this equation.

Desalination

For clinical use, a chart of normal growth centiles of fetal adrenal gland volume in utero was then calculated based on this equation.

Ultrasound in Medicine & Biology

Based on this equation, after mathematical manipulation, the calculations of the volume, thickness and width of the annular MR fluid within the cylindrical MR fluids brake are yielded.

Journal of Materials Processing Technology

The Richards equation is one of the most well-known equations to describe the behavior of unsaturated infiltration zones in soil; many other relations have been introduced based on this equation.

Scientia Iranica

Human-verified similar examples from authoritative sources

Similar Expressions

35 human-written examples

Based on this result, Equation 1 can now be re-written as: (3) Equation 3 expresses the Minkowski distance metric that best approximates distance on the road network.

BMC Health Services Research

CVTS obtained based on this taper equation was very similar to the CVTS estimates obtained from a locally fitted simple volume equation and the volume equations used by the FIA-PNW in the states of Oregon, Washington, and California for Douglas-fir and western hemlock trees.

Forest Ecosystems

Based on this QSAR equation, 5 new compounds with higher cytotoxicity have been theoretically designed.

European Journal of Medicinal Chemistry

Based on this canonical equation, an upwind scheme can be constructed.

Journal of Computational Physics

Based on this, the equation for ion average kinetic energy impinging on the material surface is obtained.

Surface and Coatings Technology

Expert writing Tips

Best practice

When using "based on this equation", ensure that the relationship between the equation and the subsequent statement is clear and logically sound. The equation should directly support the claim being made.

Common error

Avoid implying a direct causal relationship solely "based on this equation" if other factors or variables are involved. Acknowledge the equation's limitations and any assumptions made.

Linguistic Context

The phrase "based on this equation" functions as a prepositional phrase that modifies a verb or noun, indicating the foundation or justification for a subsequent statement or action. As Ludwig AI confirms, its structure is correct and standard English.

Expression frequency: Common

Frequent in

Science

100%

News & Media

0%

Formal & Business

0%

Less common in

Academia

0%

Wiki

0%

Encyclopedias

0%

Ludwig's WRAP-UP

The phrase "based on this equation" is a prepositional phrase frequently found in scientific and technical writing. As confirmed by Ludwig AI, it is grammatically correct and serves to clearly establish a logical connection between a mathematical formula and the subsequent results or conclusions. Usage patterns show it almost exclusively within scientific contexts, highlighting its formal and objective tone. Alternatives such as ""according to this equation"" or ""derived from this equation"" can offer subtle differences in emphasis, making it important to select the best fit for your intended meaning. When using this phrase, ensure the logical link is evident and any assumptions are clearly acknowledged.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

according to this equation

Changes the preposition from 'based on' to 'according to', emphasizing adherence to the equation's principles.

derived from this equation

Focuses on the equation as the source from which something is obtained.

using this equation

Emphasizes the equation as a tool for calculation or derivation.

on the basis of this equation

More formal way of saying "based on", indicating a foundation or justification.

founded on this equation

Highlights the equation as the fundamental principle upon which something is built.

as a function of this equation

Emphasizes the dependent relationship between a variable and the equation.

in light of this equation

Suggests that the equation provides understanding or clarification.

considering this equation

Implies that the equation is being taken into account when making a judgment or calculation.

by means of this equation

Focuses on the equation as the method or instrument used.

predicated on this equation

Highlights that the equation is an essential condition or requirement.

FAQs

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

Use "based on this equation" to introduce a result, calculation, or conclusion that directly stems from a particular formula. For example: "Based on this equation, we can predict the yield of the reaction."

What are some alternatives to "based on this equation"?

You can use alternatives like "according to this equation", "derived from this equation", or "using this equation" depending on the specific context.

Is it more appropriate to say "according to this equation" or "based on this equation"?

Both "according to this equation" and "based on this equation" are correct and can be used interchangeably. However, "based on" implies a broader foundation, while "according to" suggests strict adherence to the equation's stipulations.

What if the equation is only one factor among many influencing the result; is "based on this equation" still appropriate?

If the equation is just one factor, consider rephrasing to reflect the equation's partial contribution. For example, "Using this equation, along with other factors, we estimated..." or "This estimate incorporates the equation, but also accounts for..."