"under the operation of" is correct and usable in written English.
You can use it to refer to something that is working or producing something in a particular way. For example: "This factory has been running under the operation of the same family for more than 75 years."
Open image in new window Figure 4 Inner working of method under the operation of different operators.
ThenW(K) forms an infinite-dimensional group under the operation of pointwise multiplication.
Or as a mathematician might say, the set of data objects in List is closed under the operation of forming pairs.
Then he realized he was abandoning an infant to a vehicle under the operation of a man kneading tinctures of a patently illicit substance into his face.
The Tex Beneke Orchestra, now under the operation of Jim Snodgrass, still tours and performs, and is based in Southern California.
In this way, every integer can be derived from the counting numbers, resulting in a set of numbers closed under the operation of subtraction (see group theory).
In this work a preliminary investigation is attempted concerning the existence of conditions under which the operation of a thermal HSR in breeding regime is possible.
The conditions under which the operation of temporary storage facilities is permitted shall be set out in the authorisation.
A subalgebra of an algebra is a set of elements of the algebra closed under the operations of the algebra.
They are also applicable to many nonnumeric domains such as the subsets of a given set under the operations of union and intersection, the words over a given alphabet under the operations of concatenation and reversal, the permutations of a given set under the operations of composition and inverse, etc.
It is straightforward to see that this collection is the least collection containing the closed sets and closed under the operations of complementation and countable union.
