based on the equation

USAGE SUMMARY

The phrase "based on the equation" is correct and usable in written English.
You can use it when referring to conclusions, results, or actions that are derived from a specific mathematical equation. Example: "The results of the experiment were calculated based on the equation provided in the research paper."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Usually this is a given, although occasionally you will have to come up with one based on the equation of a line.

WikiHow

The table to the right indicates how much these changes would be predicted to affect GDP growth based on the equation above.

The Economist

Entrepreneurship is not solely based on the equation of risk plus investment equals profit.

Forbes

Kant is of course familiar with the ancient (pre-Copernican) corrections based on the equation of time (note 41 above).

SEP

The regressive critical gel curve based on the equation is well consistent with the experiment data.

European Polymer Journal

The band positions of BiPO4 and Bi2S3 are evaluated based on the equation [38].

Nanoscale Research Letters

The diameter of a single nanopore can be calculated based on the equation (1).

Nanoscale Research Letters

The sintering process was optimally designed based on the equation of the heat transfer limit of sintered heat pipe.

Transactions of Nonferrous Metals Society of China

Correlations based on the equation of state are often implicit, because they require iteration and are computationally expensive.

Journal of Petroleum Exploration and Production Technology

Based on the equation of motion method, we can obtain analytical expressions of all GFs in the Coulomb blockade regime.

Nanoscale Research Letters

Based on the equation (Equation 1), the hole mobility is estimated to be 0.134 cm2V-1 s-1.

Nanoscale Research Letters

Expert writing Tips

Best practice

When using "based on the equation", ensure the equation is clearly defined or referenced within the same context. This avoids ambiguity and allows readers to easily verify the derivation or calculation.

Common error

Avoid using "based on the equation" without specifying which equation is being referenced. Always provide the equation's identifier or context to prevent confusion.

Linguistic Context

The phrase "based on the equation" functions as a prepositional phrase that modifies a verb or noun, indicating the foundation or method used in a calculation, derivation, or analysis. As shown by Ludwig AI, it typically introduces the rationale for a conclusion.

Expression frequency: Very common

Frequent in

Science

84%

News & Media

9%

Wiki

2%

Less common in

Formal & Business

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "based on the equation" is a grammatically correct and very common prepositional phrase used to explicitly ground a calculation, derivation, or analysis in a mathematical formula. It is most frequently encountered in scientific and technical contexts, lending credibility and transparency to the information presented. Ludwig AI confirms its usability in various writing styles. Remember to clearly define or reference the equation being used to avoid ambiguity. Alternative phrases include "derived from the equation" and "calculated from the equation", offering similar meanings with slight variations in emphasis.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

derived from the equation

Focuses on the origin or source being the equation itself.

calculated from the equation

Highlights the process of computation using the equation.

determined by the equation

Emphasizes the equation's role in defining or setting a value.

according to the equation

Stresses adherence to the stipulations or form of the equation.

as per the equation

Similar to "according to", but slightly more formal.

in accordance with the equation

A more formal and emphatic way of saying "according to the equation".

stemming from the equation

Indicates that something originates or arises from the equation.

predicated on the equation

Suggests that something is founded or depends on the equation.

grounded in the equation

Implies a solid or fundamental basis in the equation.

following the equation

Focuses on the sequence or steps prescribed by the equation.

FAQs

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

You can use "based on the equation" to indicate that a calculation, conclusion, or design is derived from a specific mathematical formula. For example: "The predicted outcome was calculated "based on the equation" provided in the study."

What are some alternatives to saying "based on the equation"?

Alternatives include phrases like "derived from the equation", "calculated from the equation", or "determined by the equation", depending on the specific context and emphasis you want to convey.

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

Both ""based on the equation"" and "according to the equation" are correct and can be used interchangeably in many contexts. The choice depends on your personal preference and the specific nuance you wish to convey. "Based on" emphasizes the foundation, while "according to" emphasizes adherence.

How do I correctly cite an equation when using the phrase "based on the equation"?

When using "based on the equation", ensure you provide a clear reference to the equation. This could involve including the equation number, its name, or a brief description of its origin within the text or in a footnote. For example: "The value was determined "based on the equation" (Equation 3) derived by Einstein."