calculated by the formula vs calculated from the formula

Both phrases are correct, but they are used in slightly different contexts. 'Calculated by the formula' is used when referring to the method or process of calculation specified by the formula. On the other hand, 'calculated from the formula' is used when indicating that the result is derived using the formula as a basis.

Last updated: March 27, 2024 • 1798 views

This phrase is correct and commonly used in English.

"calculated by the formula"

This phrase is used to indicate that the calculation is performed according to the method or process specified by the formula.

Examples:

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

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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 using the formula
determined by the formula
found by the formula
derived from the formula
obtained through the formula

This phrase is correct and commonly used in English.

"calculated from the formula"

This phrase is used to indicate that the result is obtained based on the formula provided.

Examples:

The final velocity can be calculated from the formula v = u + at.

Show examples from the web [+]

P1 is the percentage of clean, dry insoluble component as calculated from the formula shown in I.8.1.
P1 is the percentage of clean dry insoluble component as calculated from the formula shown in I..1,
is the percentage of clean dry insoluble component as calculated from the formula shown in I.8.1,
it is calculated from the molecular formula (see Annex II.2) and is also expressed as mg oxygen required per mg test compound. ThCO2:
it is calculated from the molecular formula (see Annex II.) and is also expressed as mg oxygen required per mg test compound. ThCO2:
ThOD Theoretical oxygen demand (mg) is the total amount of oxygen required to oxidise a chemical completely; it is calculated from the molecular formula (see Appendix 2.2) and is also expressed as mg oxygen required per mg test compound.
Theoretical oxygen demand (mg) is the total amount of oxygen required to oxidise a chemical completely; it is calculated from the molecular formula (see Appendix 2.2) and is also expressed as mg oxygen required per mg test compound.
ThOD Theoretical oxygen demand (mg) is the total amount of oxygen required to oxidise a chemical completely; it is calculated from the molecular formula (see Appendix 2.2) and is also expressed as mg oxygen required per mg test compound.
emissions from aviation activities shall be calculated using the formula:
Distance shall be calculated using the formula:
The risk weights shall be calculated according to the formula in point 3.
The CHP electricity is calculated according to the formula ECHP = HCHP × Cdesign.
For liquids carried under ambient conditions a could be calculated by the formula:
Alternatively, E* may be calculated by the formula:
Vertical curve overthrows shall be calculated using the formula for Ei and Eo in section 8 below (using K = 0).
The dynamometer setting for each test mode shall be calculated using the formula:
The air density shall be calculated by the formula:
Under the PD/LGD approach, risk weighted exposure amounts shall be calculated according to the formulas in Article 153(1).
The risk weighted exposure amounts shall be calculated according to the formulas in paragraph 3.
The risk weighted exposure amounts shall be calculated according to the formula:

Alternatives:

derived from the formula
obtained using the formula
found from the formula
computed from the formula
determined by the formula

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calculated by the formula vs calculated from the formula