established by which

USAGE SUMMARY

The phrase "established by which" is correct and usable in written English.
It can be used when referring to a method or process that has been set up or defined by a specific means or criteria. Example: "The regulations were established by which all participants must adhere to the safety protocols."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

15 human-written examples

A model was established by which to predict whether a fire barrier zone could prevent flames from spreading upwards.

Materials & Design

A formula of the maximum time delay for ensuring system stability is established, by which the influence analysis of control gains on system stability is further arisen.

Mechanical Systems and Signal Processing

In order to keep teachers in the field, clear pathways must be established by which teachers who wish to remain practitioners, rather than becoming headteachers or policy-bots, can earn recognition, respect, and – yes – remuneration.

The Guardian

In this paper, the heat source model of consumable-rod in friction surfacing is established, by which the temperature field of consumable-rod during the process is simulated through finite difference method.

Journal of Materials Processing Technology

Iteration equations are theoretically established by which Stodola iteration permits the progressive evaluation of the coefficients of the equivalent mass matrix for the transverse vibration of a uniform Timoshenko beam segment.

Journal of Sound and Vibration

A mathematical model which reflected the change of the maximal absolute shear stress for the center layer was established, by which the maximal absolute shear stress for the center layer can be easily calculated and the appropriate rolling technology can be designed.

Journal of Iron and Steel Research, International

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

"We have a process in this country, which was established by law, which provides for the transparency which candidates are required to meet.

Huffington Post

This Student Bill of Rights was established by New York State Education Law Article 129-B, which goes into effect on October 7, 2015.

Columbia University

Lexin agreed to retain the architectural design standards established by Disney, which opened the town in 1996.

The New York Times

Robson, 41, is also a director of the Centre for Social Justice, the thinktank established by Duncan Smith which helped the employment secretary develop his plans for tackling unemployment.

The Guardian

The specific ratio would be established by auction, which would encourage interested companies to bid against one another, guaranteeing a fair deal for the government.

The Washington Post

Expert writing Tips

Best practice

When using "established by which", ensure the context clearly defines what is being established and the specific means or criteria used for its establishment. This enhances clarity and avoids ambiguity.

Common error

Avoid using "established by which" in informal writing. Simpler alternatives like "created by" or "defined by" are often more appropriate for casual contexts.

Linguistic Context

The phrase "established by which" functions as a relative clause connector, often found in formal and academic writing. It introduces a dependent clause that specifies the method, rule, or principle by which something is created or defined. Ludwig confirms its correct usage.

Expression frequency: Uncommon

Frequent in

Science

40%

Academia

30%

News & Media

20%

Less common in

Formal & Business

10%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "established by which" is a grammatically correct connector primarily employed in formal and academic contexts to specify the means or criteria by which something is created or defined. Ludwig AI confirms the validity of the phrase, though its usage is relatively uncommon, with examples concentrated in scientific and academic domains. When writing, it's important to ensure the context clearly defines both the subject being established and the specific means of its establishment to prevent ambiguity. Simpler alternatives may be more appropriate for informal writing styles.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

defined by which process

Substitutes "established" with "defined" and "which" with "process" for emphasis on a specific procedure.

determined by what means

Replaces "which" with "what means" to specify the method of determination.

governed by what principles

Replaces "established" with "governed" and "which" with "principles" to highlight guiding rules.

created through which mechanism

Uses "created" instead of "established" and emphasizes the mechanical aspect with "mechanism".

founded on which basis

Emphasizes the foundational aspect of the establishment.

implemented under what system

Replaces "established" with "implemented" and highlights the organizational aspect with "system".

originated through which avenue

Highlights the channel or means through which something was established.

set up by what methodology

Replaces "established" with "set up" for a more informal tone, focusing on the methodology employed.

constituted by what arrangements

Focuses on the specific arrangements that led to the establishment of something.

brought about by what instrument

Focuses on the tool or device used to bring about the establishment.

FAQs

How can I use "established by which" in a sentence?

Use "established by which" to indicate that something was created or defined through a specific method or set of rules. For example, "The process was "defined by" specific guidelines."

What are some alternatives to "established by which"?

Alternatives include phrases like "created by", ""defined by"", or "determined by", depending on the specific nuance you want to convey.

Is it more appropriate to use "established by which" or "established through which"?

"Established by which" and "established through which" can often be used interchangeably, but "established by which" tends to emphasize the defining criteria, while "established through which" focuses on the process or means. Choose the phrase that best fits the context.

What's the difference between "established by which" and "established by what"?

"Established by which" implies a more formal and structured approach, whereas "established by what" is more direct and can be suitable in less formal contexts. The choice depends on the desired level of formality and specificity.