mathematical analysis of

USAGE SUMMARY

The phrase "mathematical analysis of" is correct and usable in written English.
You can use it to refer to the study of a phenomenon using mathematical methods or models. For example, "We conducted a mathematical analysis of the system to determine its efficiency."

✓ Grammatically correct

Science

Academia

News & Media

Encyclopedias

Wiki

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Mathematical analysis of decision making.

Harvard University

Thermodynamics is the mathematical analysis of energy relationships.

Nature

David Marr pioneered the mathematical analysis of vision.

Princeton University

Probability is concerned with the mathematical analysis of random phenomena.

Columbia University

We do need more mathematical analysis of cell behavior and computation of all the interactions within the cell.

The New York Times - Books

Mathematical analysis of these kinds of differences can be used to create a historical map of human migrations.

The New York Times - Books

The mathematical analysis of these models is so complex, however, that definite results have not yet been found.

Britannica

The mathematical analysis of direct-current circuits was a simple matter, but the analysis of ac circuits was more complicated.

Britannica

The mathematical analysis of these interface conditions is first presented.

Applied Mathematical Modelling

The purpose of these demonstrations is to make mathematical analysis of electromagnetism take on physical meaning.

Massachusetts Institute of Technology

Principles are presented which provide for mathematical analysis of the control of multi-enzyme systems.

Stanford University

Expert writing Tips

Best practice

When writing about research or studies, use "mathematical analysis of" to clearly indicate a rigorous, quantitative approach was employed.

Common error

While technically correct, using "mathematical analysis of" in everyday conversation can sound overly formal. Opt for simpler terms like "calculation" or "assessment" in less formal settings.

Linguistic Context

The phrase "mathematical analysis of" functions as a noun phrase, typically serving as the object of a verb or preposition. It denotes the process of examining something using mathematical methods, as supported by Ludwig's examples.

Expression frequency: Very common

Frequent in

Science

50%

Academia

33%

News & Media

10%

Less common in

Encyclopedias

4%

Wiki

2%

Formal & Business

1%

Ludwig's WRAP-UP

In summary, "mathematical analysis of" is a grammatically sound and frequently used phrase, primarily found in scientific and academic contexts. As indicated by Ludwig, it signifies a detailed examination using mathematical tools. While versatile, it's best suited for formal settings to accurately convey a rigorous, quantitative approach. Remember to consider simpler alternatives like "quantitative assessment of" in less formal scenarios. Ludwig's examples further demonstrate its application across various disciplines, solidifying its role as a key term for technical communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematical examination of

Emphasizes a detailed inspection using mathematical tools.

mathematical interpretation of

Emphasizes the act of explaining or understanding something mathematically.

mathematical modeling of

Focuses on creating mathematical representations to understand a system.

quantitative assessment of

Focuses on the numerical aspect of the assessment, emphasizing quantifiable data.

numerical evaluation of

Stresses the act of assigning a numerical value or judgment.

computational investigation of

Highlights the use of computation in the investigative process.

mathematical breakdown of

Focuses on simplifying something through mathematical techniques.

statistical scrutiny of

Indicates a close and critical observation using statistical methods.

algebraic dissection of

Suggests breaking down a problem into smaller parts using algebra.

geometric exploration of

Highlights the use of geometric principles for examination.

FAQs

How can I use "mathematical analysis of" in a sentence?

You can use "mathematical analysis of" to describe a process where mathematical methods are applied to understand or solve a problem. For example: "The study involved a "mathematical analysis of" the algorithm's efficiency."

What's a simpler way to say "mathematical analysis of"?

Depending on the context, you could use phrases like "quantitative assessment of", "numerical evaluation of", or just "calculation" or "assessment".

When is it appropriate to use "mathematical analysis of"?

It's most appropriate in formal and technical contexts, such as scientific papers, research reports, and academic discussions, where precise language is important.

Is there a difference between "mathematical analysis of" and "statistical analysis of"?

Yes. While both involve quantitative methods, "mathematical analysis of" typically involves more deterministic mathematical models, whereas "statistical analysis of" deals with probabilistic models and inference from data.