with a reciprocal of vs with the reciprocal of

Both phrases are correct, but they are used in different contexts. 'With a reciprocal of' is more commonly used when stating a value or number that is the reciprocal of another, while 'with the reciprocal of' is used when referring to the reciprocal of a specific quantity or variable.

Last updated: March 27, 2024 • 976 views

This phrase is correct and commonly used when stating a value or number that is the reciprocal of another.

"with a reciprocal of"

This phrase is used to indicate that a particular value or number is the reciprocal of another value. It is often used in mathematical contexts.

Examples:

The number 2 has a reciprocal of 1/2.
The reciprocal of 3 is 1/3.
Find the number with a reciprocal of 4.
The reciprocal of 0.5 is 2.
She calculated the value with a reciprocal of 7.

Show examples from the web [+]

Negotiations under the objective of creating a Transatlantic Common Aviation Aria will have to include the question of access to Heathrow and to combine this issue with a set of reciprocal rights for European air carriers in the USA.
Turning my ship in a reciprocal heading.
Most controversial in terms of development is the requirement for a reciprocal trade relationship.
The clause has also a reciprocal dimension which has not yet been fully exploited.
The ECB has a reciprocal relationship with the EU Council.
Brick and zack will demonstrate a reciprocal.
There must be a reciprocal advantage; it should not always be one-sided.
I believe that it is now our turn to reach a reciprocal agreement.
Of course a reciprocal interest is needed if cooperation is to be successful.
The Parties shall take as their aim a reciprocal and gradual liberalisation of public procurement contracts.
Equivalence has been concluded on a reciprocal basis.
Yes, yes, we have a reciprocal arrangement here whereby the partners take care of each others' legal affairs.
Yeah. Too bad it wasn't a reciprocal relationship.
However, Mr. Charles Rickson of Missouri can, owing to a reciprocal agreement with the Kansas City Club.
Without prejudice to paragraph 1 reductions in the frequency of checks may also be negotiated under a veterinary equivalence agreement concluded between the Community and a third country on a reciprocal basis.
They shall take measures to permit their competent authorities and the Commission to be regularly informed on a reciprocal basis of the experience gained.
If two friends have a reciprocal transaction, like selling a car, it's well known that this can be a source of tension or awkwardness.
Moreover, "too rapid a reciprocal trade liberalisation between the EU and the ACP could have a negative impact on vulnerable ACP economies and States".
Raising awareness and understanding of both cultures and societies on a reciprocal basis is essential for the strengthening of the EU-Brazil relationship.
Lt. Solis, lay in a reciprocal course for Minos warp five.

Alternatives:

with the reciprocal of
having a reciprocal of
possessing a reciprocal of
being the reciprocal of
equivalent to the reciprocal of

This phrase is correct and commonly used when referring to the reciprocal of a specific quantity or variable.

"with the reciprocal of "

This phrase is used to specify the reciprocal of a particular quantity or variable. It is often used in technical or scientific contexts.

Examples:

Calculate the value with the reciprocal of x.
The equation involves finding the number with the reciprocal of y.
She solved the problem with the reciprocal of the variable.
The formula requires using the reciprocal of the parameter.
Determine the value with the reciprocal of the constant.

Show examples from the web [+]

having regard to the Council decision of 14 October 2005 to authorise negotiations with Morocco on the reciprocal liberalisation of agricultural products, processed agricultural products, fish and fishery products,
having regard to the Council decision of 14 October 2005 authorising negotiations with Morocco on the reciprocal liberalisation of trade in agricultural products, processed agricultural products, fish and fishery products,
On the other hand, however, it is the non-LDCs that will feel the change, with the end of non-reciprocal trade preferences under the Cotonou Agreement and the creation of free trade areas by 2008.
To simplify entering calculations from the keyboard & kcalc; has single key accelerators for most functions. For example entering 7R or 7r will calculate the reciprocal of 7 (1/ 7).
The development rate is the reciprocal of the development time (unit: 1/day) and represents that portion of larval development which takes place per day.
The results of the VNT are expressed as the reciprocal of the initial serum dilution at which half the inoculated cell cultures (50 % end point) fail to show viral replication (no specific labelling).
Interpretation Wells with evidence of CPE are considered to be infected and neutralisation titres are expressed as the reciprocal of the final dilution of serum present in the serum/virus mixtures at the 50 % end point estimated according to the Spearman-Karber method.
A calibration factor equal to the reciprocal of the gradient shall be applied to the PNC under calibration.
And of course the reciprocal understanding of national interests and concerns by EU institutions.
I've laid in the reciprocal course back, Captain.
The reciprocal interest which is represented by the strengthening of political and commercial links is too important.
We will hope for the reciprocal observance of our common interests.
Another interesting point in the report refers to the reciprocal recognition of medical prescriptions.
The reciprocal health agreement for Europe seems to have substantial grey areas.
Regulations concerning the reciprocal use of wagons in international traffic
The Commission and the bodies referred to in Article 6 shall be responsible for the operation of the reciprocal exchange.
The reciprocal exchange shall cover the air pollutants listed in Annex I to the Directive on air quality.
Council Directive 91/672/EEC of 16 December 1991 on the reciprocal recognition of national boatmasters' certificates for the carriage of goods and passengers by inland waterway(60).
Examples to enable a decision regarding the reciprocal incorporation of two functions
In addition, the reciprocal distribution agreement benefits customers as it increases the available choice in each geographic market.

Alternatives:

with a reciprocal of
having the reciprocal of
possessing the reciprocal of
being the reciprocal of
equivalent to the reciprocal of

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with a reciprocal of vs with the reciprocal of