under the operations

USAGE SUMMARY

The phrase "under the operations" is correct and usable in written English.
It can be used in contexts where you are referring to actions or processes that are being conducted or executed. Example: "The results of the experiment were analyzed under the operations of the new protocol."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

12 human-written examples

A subalgebra of an algebra is a set of elements of the algebra closed under the operations of the algebra.

SEP

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.

SEP

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.

SEP

Notice that the sets (mathcal{K}(Y)) and (mathcal{K}_{C}(Y)) are closed under the operations of addition and scalar multiplication.

Journal of Inequalities and Applications

62. Enderton (1970) proved that the logic L* obtained from FO by closing it under arbitrary Henkin quantifiers, as well as under the operations ¬, ∧, and ∨, can be translated into the so-called Δ12 fragment of second-order logic.

SEP

From this he concluded – making use of Mostowski's result mentioned in footnote 47 – that the Boolean closure of FPO (i.e., its closure under the operations ¬, ∧, and ∨) is not axiomatizable.

SEP

Human-verified similar examples from authoritative sources

Similar Expressions

48 human-written examples

Open image in new window Figure 4 Inner working of method under the operation of different operators.

Journal of Industrial Engineering International

It's an equation which is, in modern speak, invariant, invariant under the operation zoom.

Massachusetts Institute of Technology

He said Australian Defence Force personnel remain subject to criminal and general law under the operation.

The Guardian

Under the operation in two stages, the global LHSV of the plant decreases one-half.

Catalysis Today

ThenW(K) forms an infinite-dimensional group under the operation of pointwise multiplication.

Journal of Functional Analysis

Expert writing Tips

Best practice

When using "under the operations", ensure the context clearly defines the specific operations being referenced to avoid ambiguity. For example, "under the operations of the new accounting system" provides a clearer understanding than "under the operations."

Common error

Avoid using "under the operations" without specifying which operations are relevant, as this can lead to vague or unclear communication. Be specific and define the operations or processes being referenced.

Linguistic Context

The phrase "under the operations" primarily functions as a prepositional phrase, often modifying a verb or noun phrase to indicate the conditions, rules, or systems governing an action or process. Ludwig AI confirms its correct usage across varied contexts.

Expression frequency: Uncommon

Frequent in

Science

40%

News & Media

30%

Academia

20%

Less common in

Formal & Business

10%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "under the operations" functions as a prepositional phrase to specify the governing framework of an action or process. Ludwig AI's analysis indicates that it is grammatically correct and appears across various contexts, including science, news, and academia. The phrase conveys that specific activities are being guided, influenced, or controlled by a defined set of procedures or systems. When using this phrase, ensure clarity by specifying the operations being referenced. Remember that alternatives such as "subject to the processes" or "governed by the activities" may provide a more precise meaning depending on the context.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

subject to the processes

Focuses on the state of being affected or controlled by specific processes, changing the focus from action to state.

governed by the activities

Emphasizes control and regulation by a set of activities instead of operations.

during the course of action

Indicates activities happening while an action is in progress, slightly altering the context.

in the process of functioning

Highlights the active functioning or performance of something, shifting the emphasis slightly.

within the scope of actions

Specifies that something falls within the boundaries or limits of certain actions.

as part of the procedures

Emphasizes that something is integrated into or a component of established procedures.

in accordance with the execution

Highlights compliance or agreement with the way something is carried out.

in the context of functional activities

Reframes the situation to emphasize the environment or setting of functional activities.

under the administration

Suggests being managed or controlled by an administrative body, shifting the focus to management.

during the active phase

Highlights a specific timeframe when activities are actively happening.

FAQs

How can I use "under the operations" in a sentence?

You can use "under the operations" to indicate a process or system that is governing an action, as in "The company functioned "under the operations" of the new management team."

What are some alternatives to using "under the operations"?

Alternatives include "subject to the processes", "governed by the activities", or "during the course of action" depending on the specific meaning you want to convey.

Is it more appropriate to say "during operations" or "under the operations"?

"During operations" typically refers to actions happening at the same time, whereas "under the operations" suggests influence or control by the operations. The best choice depends on the intended meaning.

What does "under the operations" imply about control or influence?

The phrase "under the operations" implies that the actions, processes, or activities in question are being guided, influenced, or controlled by the specified operations. It suggests a hierarchical relationship or a structured framework.