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The phrase "the reciprocal of" is correct and can be used in written English.
You can use it to express that something is the inverse of another thing. For example: The reciprocal of 5/3 is 3/5.
Exact(59)
And one is hardly the reciprocal of the other.
The spatial frequency is the reciprocal of the period.
VRM is the reciprocal of CRM or Customer Relationship Management.
Antibody titers are presented as the reciprocal of the highest dilution showing a positive reaction.
The reciprocal of the viscosity is called the fluidity, a measure of the ease of flow.
The total conductivity is then calculated by simply taking the reciprocal of the total resistivity.
It is computed as the reciprocal of D. Half time: time units of the x axis.
For the infrared region, the wave number (ν̄, the reciprocal of the wavelength) is commonly used to measure energy.
We treated the reciprocal of the crossing probabilities as a movement resistance for forest birds.
A former term for the reciprocal of the ohm is the mho (ohm spelled backward).
Similar(1)
And therefore, the relation is, one is the reciprocal of the other.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com