calculated by the formula vs calculated according to the formula

Both phrases are correct and commonly used in English. They can be used interchangeably to indicate that a calculation is done based on a specific formula.

Last updated: March 26, 2024 • 4971 views

This phrase is correct and commonly used in English.

"calculated by the formula"

This phrase is used to indicate that a calculation is performed using a specific formula as the basis.

Examples:

The area of a circle can be calculated by the formula A = πr^2.

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:

calculated according to the formula
computed by the formula
determined by the formula
found by the formula
derived from the formula

This phrase is correct and commonly used in English.

"calculated according to the formula"

This phrase is used to indicate that a calculation is done based on a specific formula as the reference.

Examples:

The volume of a cylinder is calculated according to the formula V = πr^2h.

Show examples from the web [+]

The CHP electricity is calculated according to the formula ECHP = HCHP × Cdesign.
1 The effectiveness of a service brake is based on the stopping distance calculated according to the formula set out in point 2.1.1.1.
weighted specific fuel consumption (g/kWh) calculated according to the formula as below
SFC weighted specific fuel consumption (g/kWh) calculated according to the formula as below
Under the Simple risk weight approach, the risk weighted exposure amount shall be calculated according to the formula:
The percentage inhibition of the cell growth at each test substance concentration (IA) is calculated according to the formula:
The percentage inhibition of specific growth rate at each test substance concentration (Iμt) is calculated according to the formula:
The area between the growth curves and the horizontal line N = N0 may be calculated according to the formula:
Calculated according to the formula for RE based on data reported according to Annex IV(2).
The risk weights shall be calculated according to the formula in point 3.
The risk weighted exposure amounts shall be calculated according to the formula:
The degradation at time T is calculated according to the formula (with definitions) given unter 1.2 above.
The dynamometer settings must be calculated according to the formula in annex 4, appendix 1, paragraph 1.2.
The conventional true value is calculated according to the formula set out in point 5.3.7.3 of Regulation No 83 of the Economic Commission for Europe of the United Nations (UN/ECE) [1].
The standard presentation carcase weight shall be calculated according to the formula:
The amount of aid included in the loans will be calculated according to the formula below:
The dynamometer settings shall be calculated according to the formula in Annex III, Appendix 1, section 1.2.
Infrasstructure PRM signage dimensions shall be calculated according to the formula:
The risk weighted exposure amounts shall be calculated according to the formula:

Alternatives:

calculated by the formula
computed according to the formula
determined according to the formula
found according to the formula
derived according to the formula

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calculated by the formula vs calculated according to the formula