analyze mathematically

USAGE SUMMARY

The phrase "analyze mathematically" is correct and usable in written English.
You can use it when discussing the examination or evaluation of a problem or situation using mathematical methods or principles. Example: "To understand the behavior of the system, we need to analyze mathematically the underlying equations."

✓ Grammatically correct

Science

Academia

Encyclopedias

News & Media

Human-verified examples from authoritative sources

Exact Expressions

10 human-written examples

In principle, a forcing function may assume any form, but in practice it must be easy to generate experimentally and to analyze mathematically.

Encyclopedia Britannica

On the other hand, the EMD algorithm contains heuristic and ad-hoc elements that make it hard to analyze mathematically.

Duke University

This CAC system model is a mixed loss-queueing system [10], and therefore, it is not easy to analyze mathematically.

EURASIP Journal on Wireless Communications and Networking

This means that nonlinear wave equations are more difficult to analyze mathematically and that no general analytical method for their solution exists.

Advances in Difference Equations

Non-Markov processes in which the future state of a process depends on its whole history are generally harder to analyze mathematically [3].

EURASIP Journal on Advances in Signal Processing

Thus, it is more difficult to analyze mathematically because the population size N k is an additional variable that is governed by a differential equation.

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

50 human-written examples

Now that it has been cast into mathematical form, however, it can be analyzed mathematically to reveal what consequences it implies.

Encyclopedia Britannica

Queues have long been analyzed mathematically.

The New York Times

In every field, from molecular biology to cosmology, data are sorted and analyzed mathematically.

The New York Times - Science

Several 2 patch models are proposed and analyzed mathematically.

Theoretical Population Biology

The proposed configurations are studied and analyzed mathematically.

Computers & Electrical Engineering

Expert writing Tips

Best practice

When using "analyze mathematically", ensure the context clearly indicates what is being analyzed and the mathematical methods being applied. For example, specify the type of model or data being analyzed to provide a more precise understanding.

Common error

Avoid using "analyze mathematically" without specifying the subject or method. This can lead to vagueness and a lack of clarity. Always provide context to ensure the analysis is well-understood.

Linguistic Context

The phrase "analyze mathematically" functions as a verb phrase, where "analyze" is the verb and "mathematically" is an adverb modifying the verb. It indicates the application of mathematical methods to conduct an analysis, as demonstrated in the Ludwig examples.

Expression frequency: Uncommon

Frequent in

Science

70%

Academia

20%

Encyclopedias

5%

Less common in

News & Media

5%

Formal & Business

0%

Social Media

0%

Ludwig's WRAP-UP

The phrase "analyze mathematically" is a grammatically correct and useful term for describing the application of mathematical methods to a subject of study. Ludwig AI indicates that it is suitable for formal contexts, especially within scientific and academic domains. It appears most frequently in scientific literature, signifying a rigorous and quantitative approach. While not exceedingly common, its usage is clear and precise. When employing this phrase, ensure the context specifies what is being analyzed and the mathematical techniques applied to avoid vagueness. Consider alternatives such as "assess quantitatively" or "model mathematically" to refine the meaning.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

investigate mathematically

Similar to the original phrase but places a greater emphasis on the investigative nature of the analysis.

explore mathematically

Indicates a more open-ended and exploratory approach to the analysis using mathematical methods.

evaluate using mathematics

Highlights the use of mathematical tools in the evaluation process, specifying the instruments involved.

determine mathematically

Focuses on arriving at a specific mathematical determination or result.

assess quantitatively

Focuses on the quantitative aspect of the assessment, emphasizing numerical evaluation rather than the general method.

compute analytically

Suggests finding a solution through analytical computation rather than numerical methods.

model mathematically

Emphasizes the construction of a mathematical model for analysis, pointing to the creation of a representation.

quantify mathematically

Highlights the quantification aspect, which could involve assigning numerical values based on mathematical principles.

examine through equations

Specifically mentions the use of equations as the primary tool for examination.

solve mathematically

Emphasizes the process of finding a mathematical solution to a problem.

FAQs

How can I use "analyze mathematically" in a sentence?

You can use "analyze mathematically" to describe the process of examining something using mathematical principles. For instance, "To fully understand this phenomenon, we need to "analyze it mathematically"".

What does it mean to "analyze mathematically" something?

To "analyze mathematically" means to use mathematical methods and principles to examine, interpret, and draw conclusions about a particular subject or problem. It involves creating models, solving equations, and using other mathematical tools to gain insights.

Is there a difference between "analyze mathematically" and "evaluate mathematically"?

"Analyze mathematically" generally refers to a more in-depth examination of something, while "evaluate mathematically" suggests assessing or judging its value or performance using mathematical methods. The nuance lies in the depth and purpose of the assessment.

What are some alternatives to "analyze mathematically"?

Some alternatives to "analyze mathematically" include "assess quantitatively", "evaluate using mathematics", or "model mathematically" depending on the specific context and the type of analysis being performed.