formally shown

USAGE SUMMARY

The phrase "formally shown" is correct and usable in written English.
It can be used when referring to something that has been demonstrated or proven in a formal or official manner, often in academic or technical contexts. Example: "The theorem was formally shown to be true through rigorous mathematical proof."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

37 human-written examples

In a significant departure from earlier releases of test scores, Mr. Lerner said the charter school findings would be formally shown only as part of a larger analysis that would adjust results for the characteristics of charter schools and their students.

The New York Times

The observer is formally shown to enjoy nice convergence properties.

IFAC Proceedings Volumes

This has been formally shown, in a companion paper, to include these asymptotic interactions.

Annals of Physics

It is formally shown that the developed strategy control actually meets the MPPT requirement.

IFAC Proceedings Volumes

It is formally shown that the controllers meet all its control objectives.

IFAC Proceedings Volumes

It is formally shown that the obtained controller actually meets its objectives.

IFAC Proceedings Volumes

Human-verified similar examples from authoritative sources

Similar Expressions

23 human-written examples

Formally showing its support at a meeting here, the bipartisan panel unanimously approved the $2.3 billion budget proposed by County Executive Thomas R. Suozzi for 2004.

The New York Times

The experts also predicted yesterday, as the Yankees formally showed off Mr. Rodriguez in pinstripes, that his arrival from the Texas Rangers may serve to set up a competition for commercials between him and Mr. Jeter, the longtime Yankee standout pitchman.

The New York Times

The importance of the budget is that it formally shows the havoc the credit crunch, the evisceration of financial services and the housing market, together with the severe recession, have visited on Britain's economy and public finances.

The Guardian - Opinion

meeting last month, 26 member states, including China, Russia and the United States, formally showed their dissatisfaction with the European system — a sign that they could push for a formal dispute procedure at the organization.

The New York Times

We formally show the fairness property of the proposed algorithm.

Journal of Parallel and Distributed Computing

Expert writing Tips

Best practice

Use "formally shown" when you want to emphasize that a result has been proven or demonstrated through a rigorous and established method, such as a mathematical proof or a scientific experiment.

Common error

Avoid using "formally shown" in contexts that do not require a high degree of formality or technical precision. In everyday conversation or informal writing, simpler alternatives like "shown" or "demonstrated" are often more appropriate.

Linguistic Context

The phrase "formally shown" functions as a passive verb construction, indicating that a particular result or conclusion has been demonstrated or proven in a formal, rigorous manner. Ludwig AI confirms its correct usage.

Expression frequency: Common

Frequent in

Science

65%

News & Media

15%

Formal & Business

10%

Less common in

Encyclopedias

3%

Wiki

2%

Reference

5%

Ludwig's WRAP-UP

In summary, "formally shown" is a phrase used to indicate that something has been rigorously demonstrated or proven, often through a mathematical proof, scientific experiment, or other formal methods. Ludwig AI validates its correctness. It is commonly found in academic and scientific writing. As Ludwig examples show, this phrase is used to communicate a high level of certainty and reliability, often implying that the result has been verified through established and accepted procedures. When choosing this phrase, make sure the context requires such a level of formality; otherwise, simpler alternatives may be more appropriate.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

formally verified

Highlights the characteristic of having been verified according to strict procedures.

definitively shown

Indicates the action of showing something without any doubt.

officially demonstrated

Emphasizes the official nature of the demonstration or proof, rather than the formality of the method.

rigorously proven

Highlights the strictness and thoroughness of the proof.

demonstrated mathematically

Specifies that the demonstration was done using mathematical principles.

explicitly proven

Highlights the act of proving something in an explicit way, clearly and openly stated.

empirically validated

Focuses on validation through observation and experimentation.

conclusively established

Emphasizes that something has been definitively proven without doubt.

experimentally verified

Highlights that the verification was achieved through experimentation.

legally established

Indicates that something has been proven within a legal context.

FAQs

How can I use "formally shown" in a sentence?

Use "formally shown" to indicate that something has been demonstrated or proven through a rigorous and established method. For example: "The theorem was "formally shown" to be true through rigorous mathematical proof."

What are some alternatives to "formally shown"?

You can use alternatives like "officially demonstrated", "rigorously proven", or "conclusively established" depending on the context.

In what kind of writing should I use "formally shown"?

This phrase is best suited for academic papers, scientific reports, and other technical documents where precision and formality are important. Simpler alternatives are better for informal writing.

What is the difference between "formally shown" and "shown"?

"Formally shown" implies a rigorous, structured demonstration or proof, while "shown" is a more general term that can refer to any kind of demonstration, formal or informal.