as per equation

USAGE SUMMARY

"as per equation" is correct and commonly used in written English.
Example: As per the equation, the value of x is equal to the product of y and z.

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

39 human-written examples

As per the cost value, the resulted schedule is a reasonable one and as per Equation (17), the result from the scheduler is a satisfying one.

Human-centric Computing and Information Sciences

A simple power allocation is performed as per Equation (3).

EURASIP Journal on Wireless Communications and Networking

Hence a pseudo first order model, as per Equation 4, can be evaluated.

Chemistry Central Journal

The PMI is computed as per Equation 9, where 1≤j≤J and 1≤c≤C.

EURASIP Journal on Audio, Speech, and Music Processing

More examples can be found, where the closed-form solution as per Equation (6) breaks down.

EURASIP Journal on Wireless Communications and Networking

As per Equation 10, K pyr is then derived from the slope of k'versus [pyr]/[Phe]o.

Geochemical Transactions

Human-verified similar examples from authoritative sources

Similar Expressions

21 human-written examples

The average cost per claim, standard deviation, and 95% confidence intervals for Canada as a whole are found as per equations [8], [9] and [10].

Health Economics Review

Using the moment generating function (MGF) of the SNR at the output of two branch EGC as per equations (2) and (23) in [25], PEP at high SNR is upper bounded as (40).

EURASIP Journal on Wireless Communications and Networking

The total distance dmagPhase between the feature vectors consisting of ZMmagPhase coefficients has been evaluated by using the distances dmag and dPhase, computed as per Equations 9 and 10, respectively.

EURASIP Journal on Image and Video Processing

The entrapment efficiency and drug loading of nimodipine microemulsion were calculated as per equations given below.

Acta Pharmaceutica Sinica B

For this purpose, we extended the above mixed model (1) by incorporating a SNP effect term as 4 where u ~ N 0, ), e ~ N 0, ), and all variables are defined as per equations (1) and (3).

BMC Genomics

Expert writing Tips

Best practice

When using "as per equation", ensure the equation is clearly defined and accessible to the reader, either within the text or through a numbered reference. This helps maintain clarity and avoids ambiguity.

Common error

Avoid using "as per equation" without providing the actual equation or a clear reference. This can leave the reader confused and unable to verify the statement's validity.

Linguistic Context

The phrase "as per equation" functions as a prepositional phrase, modifying a verb or noun to indicate that something is done or determined in accordance with a specific equation. Ludwig AI confirms its usage in scientific contexts.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, "as per equation" is a prepositional phrase used to indicate that a statement, calculation, or result is based on a specific equation. Ludwig AI confirms its appropriateness for formal and scientific writing, emphasizing the need for clarity and verifiable referencing. While grammatically correct and clear, this expression finds its place mainly in Science, and less so in other contexts. Consider alternatives like "according to the equation" for more general use.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

according to the equation

This alternative directly states that something is in agreement with what the equation indicates, replacing "as per" with "according to" for directness.

based on the equation

This indicates that something is derived or calculated from the equation, focusing on the equation as a foundation.

in accordance with the equation

This alternative is more formal and emphasizes compliance with the equation's requirements.

following the equation's guidelines

This suggests adherence to the principles or steps outlined by the equation.

as the equation dictates

This highlights the prescriptive nature of the equation, implying that it determines the outcome.

consistent with the equation

This emphasizes that a result or statement does not contradict the equation.

in line with the equation

This suggests that something aligns with the expectations or predictions of the equation.

by the equation

A shorter, more direct way of indicating that something is determined or influenced by the equation.

using the equation

Focuses on the action of applying the equation to a calculation or derivation.

deriving from the equation

This emphasizes that something originates from or is obtained through the equation.

FAQs

How can I use "as per equation" in a sentence?

You can use "as per equation" to indicate that a calculation, result, or statement is based on a specific equation. For example, "The calculated value is 10, as per equation (5)".

What's a simpler way to say "as per equation"?

Alternatives include "according to the equation", or "based on the equation". These options can make your writing sound less formal while retaining the same meaning.

Is it more appropriate to say "as per equation" or "according to the equation"?

"As per equation" and "according to the equation" are often interchangeable. However, "as per equation" might be more common in scientific or technical contexts, while "according to the equation" is slightly more general.

Can I use "as per equation" in formal writing?

Yes, "as per equation" is suitable for formal and technical writing, particularly in scientific and mathematical contexts. It clearly indicates the basis for a statement or calculation.