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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
by which operators
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "by which operators" is correct and usable in written English.
It can be used to describe a method or means through which operators perform a task or function. Example: "The system includes a protocol by which operators can efficiently manage the network."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(2)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
5 human-written examples
"But there is an existing legal route by which operators can apply for access where this can't be negotiated.
News & Media
"There is an existing legal route by which operators can apply for access where this can't be negotiated.
News & Media
While this procedure can predetermine the DSSR boundary and calculate security distance online, by which operators can judge the system N − 1 security.
The sort list (descending order) of the observed generators according to power angle is given, by which operators can select generators to formulate the emergency control schemes including the control site and quantity.
Centralized mechanisms are required to conduct the spectrum trading and to share operator channel usage information among them in phases (1) and (2), such as which channels are traded by which operators and which channels are available for the spectrum sharing game.
Human-verified similar examples from authoritative sources
Similar Expressions
55 human-written examples
It is also possible for each operator to measure his payoff individually by monitoring all transmitted signals from users and by detecting to which operators the users belong by using signal headers which include IDs of their affiliations.
User interface is the mechanism by which the operators and supervisors interact with the systems.
The European Parliament is unlikely to approve whatever emerges from the Latvian draft without major changes.The next network-neutrality battle has already begun over "zero-rating", a practice by which mobile operators allow customers access to certain services, such as Facebook or Wikipedia, without charging them for the data usage.
News & Media
The scope of the rule of Baker v. Selden is an issue in the current controversy over whether copyright protection for computer software extends to the visual "desktop" on which the computer operator views "icons" representing documents, files, programs, and so on, and to the organization and sequence by which the operator is led through a program.
Academia
The general data and application programming interface (API) is available by which testers or operators can add new transient instability detection modules to the platform.
A system of radioteletypewriter relaying was devised, by which a radioteletypewriter operator in Washington, London, or other capitals could transmit directly by teleprinter to the commander in any theatre of war.
Encyclopedias
Expert writing Tips
Best practice
Use "by which operators" to clearly define a specific process or legal framework through which operators are granted access or can perform certain actions. For example, 'There is an existing legal route by which operators can apply for access'.
Common error
Avoid using "by which operators" in overly complex sentences where a simpler phrasing like "through which operators" or "where operators can" would improve clarity.
Source & Trust
87%
Authority and reliability
4.4/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "by which operators" functions as a relative clause, specifically an adverbial clause modifying a preceding noun. It clarifies the means or method through which the operators carry out actions. This is evident in Ludwig's examples, such as 'There is an existing legal route by which operators can apply for access'.
Frequent in
Science
60%
News & Media
30%
Formal & Business
10%
Less common in
Encyclopedias
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, the phrase "by which operators" is a grammatically correct relative clause used to describe the method or means through which operators perform actions. Ludwig AI indicates its use is most common in scientific and formal contexts, specifying processes or legal frameworks. While grammatically sound, simpler alternatives like "through which operators" can enhance clarity in less formal writing. It’s crucial to tailor the phrasing to the specific context and audience to maintain effective communication.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
through which operators
Uses a synonym for 'by', maintaining the same structure and meaning.
the means by which operators
Adds emphasis on the 'means' or method involved.
the process through which operators
Focuses on the 'process' operators undergo.
the method operators use to
Changes the structure to focus on the 'method' used by operators.
using which operators
Focuses on the tool or method operators are employing.
where operators can
Replaces "by which" with "where", focusing on the location or situation in which operators act.
in what way operators
Rephrases to ask the specific manner in which operators do something.
how operators are able to
Emphasizes the ability of operators to perform tasks.
operators' way of
Simplifies the phrasing to focus on the operators' method directly.
by the operators' actions
Shifts the focus slightly to the actions taken by the operators themselves.
FAQs
How can I rephrase "by which operators" to sound more straightforward?
Consider using simpler alternatives such as "through which operators" or "where operators can", depending on the context. These options often provide greater clarity and readability.
In what contexts is it most appropriate to use "by which operators"?
The phrase is suitable for formal and technical writing, especially when describing a specific process or legal framework governing operators' actions. It is often used in the context of regulations, access permissions, and system protocols.
Is there a difference in meaning between "by which operators" and "through which operators"?
The phrases are largely interchangeable, but "through which operators" may sound slightly less formal. The best choice depends on the specific context and the desired tone.
Can I use "by which operators" in informal writing?
While grammatically correct, "by which operators" is more suited for formal or technical contexts. In informal writing, simpler alternatives like "how operators" or "where operators" might be more appropriate.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
87%
Authority and reliability
4.4/5
Expert rating
Real-world application tested