calculated with the formula vs calculated by the formula

Both phrases 'calculated with the formula' and 'calculated by the formula' are commonly used and correct. The choice between 'with' and 'by' depends on the context and personal preference.

Last updated: March 26, 2024 • 2842 views

This phrase is correct and commonly used in English.

"calculated with the formula"

This phrase is used when emphasizing the method or tool used to perform the calculation.

Show examples from the web [+]

In such case, the GGE shall be calculated with the formula presented in the section on State aid here above or be aligned with the conditions of the Guarantee Notice.
Where no test concerning tailpipe emissions is conducted in application of the provisions referred to in Entry 2, CO2 emissions and fuel consumption shall be calculated with the formula laid down in the explanatory notes (b) and (c).
The resulting power savings are to be calculated with the following formula:
CO2 shall be calculated with the following formula:
Therefore, the amount calculated with the Standard Formula should be the difference between the amounts disclosed in C0040 and C0060.
The Re at the SSV throat is calculated with the following formula:
μ = absolute or dynamic viscosity of the gas, calculated with the following formula:
The CO2 savings are to be calculated with the following formula:
absolute or dynamic viscosity of the gas, calculated with the following formula:
The Re at the SSV throat is calculated with the following formula:
μ absolute or dynamic viscosity of the gas, calculated with the following formula:
For each monitor m considered in the present annex, the in-use performance ratio is calculated with the following formula:
The RUaEP per unit of analysis [120] is calculated with the following formula:1 - R1
The Re at the SSV throat is calculated with the following formula:
For the purpose of the step in point (a) of paragraph 1, gamma impacts shall be calculated in accordance with the formula described in Annex I.
a multiplying factor, calculated in accordance with the formula set out in point 5.4
It was calculated with application of the formula set out in the Annex of the Community Guidelines on aid for rescue and restructuring of firms in difficulty
A verification mechanism shall ensure that the GGE calculated with the above mentioned formula is not below than the GGE calculated following the Article 4(6)(c) of the de minimis Regulation.
When the GGE is calculated with the above mentioned formula, for the purpose of the Renovation loan instrument, the requirement as foreseen in Article 4 of the de minimis Regulation [1]is considered to be met.
'power to mass ratio index' (PMR) means a numerical quantity calculated in accordance with the formula set out in point 4.1.2.1.1 of Annex II;

Alternatives:

computed with the formula
determined with the formula
found with the formula
derived with the formula
solved with the formula

This phrase is correct and commonly used in English.

"calculated by the formula"

This phrase is used when focusing on the formula as the agent performing the calculation.

Show examples from the web [+]

For liquids carried under ambient conditions a could be calculated by the formula:
This lead the Commission to consider that the State guarantee complied with point 25(d) of the Guidelines, i.e. that the aid was restricted to the amount calculated by the formula set out in the Guidelines' Annex.
The air density shall be calculated by the formula:
6.3.2.1.1. The maximum intensity (IM) of the driving beam expressed in thousands of candelas shall be calculated by the formula:
In these formulae, is the mean coefficient of cubical expansion of the liquid between 15 ºC and 50 ºC, i.e. for a maximum variation in temperature of 35 ºC.a is calculated by the formula:
Alternatively, E* may be calculated by the formula:
if test pieces of rectangular cross-section are used, the gauge length l shall be calculated by the formula:
As an alternative, if such information is not available, the value calculated by the formula:
The maximum intensity (IM) of the driving beam expressed in thousands of candelas shall be calculated by the formula:
The wall thickness of the cylindrical shell of the containers must not be less than that calculated by the formula:
The light-absorption coefficient k shall be calculated by the formula = o e-kL, where L is the effective length of the light path through the gas to be measured, o the incident flux and the emergent flux.
The maximum intensity (IM) of each installation unit providing or contributing to the maximum intensity of the driving beam, expressed in thousands of candelas shall be calculated by the formula:
shall be measured, and the content by volume (T) to be compared with the prescribed limit shall be calculated by the formula
if test-pieces of rectangular section are used the gauge length shall be calculated by the formula:

Alternatives:

computed by the formula
determined by the formula
found by the formula
derived by the formula
solved by the formula

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calculated with the formula vs calculated by the formula