represented mathematically

USAGE SUMMARY

The phrase "represented mathematically" is correct and usable in written English.
It can be used when discussing how a concept, idea, or phenomenon can be expressed using mathematical symbols or equations. Example: "The relationship between the variables can be represented mathematically by the equation y = mx + b."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

45 human-written examples

Each of those notes can be represented mathematically as a wave.

The Economist

His single-handed exposition of information theory, stating that all information could be represented mathematically as a succession of noughts and ones, facilitated the digital manipulation of data without which today's information society would be unthinkable.

The Guardian

The direction of the dipole moment, which may be represented mathematically as a vector, is perpendicularly away from the side of the surface enclosed by the counterclockwise path of positive charge flow.

Encyclopedia Britannica

"Inexact sciences like economics advance funeral by funeral," Samuelson said, and he brought up one of his teachers at Chicago, Frank Knight, a brilliant scholar who is today remembered primarily for the distinction he drew between risk, which can be assessed in probabilistic terms, and uncertainty, which can't be represented mathematically.

The New Yorker

It can be represented mathematically, however, in the following way: The coordinates of a point in the exit-pupil aperture will be represented by x0 and y0, the y0 coordinate lying in the meridian plane containing the object point and the lens axis.

Encyclopedia Britannica

The division in Eq. (18) is represented mathematically as follows.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

15 human-written examples

On to this framework, Dr Hunter's team was then free to attach "functional components" that represent mathematically many of the activities within the heart for example, ion channels opening and closing during a surge of electrical current through the heart.

The Economist

A set of eight mathematical competencies required by engineering students, thinking mathematically, reasoning mathematically, problem handling, modeling mathematically, representing mathematically, communicating mathematically, symbolism and formalism language, and using aids and tools, was articulated (Niss 2003).

International Journal of STEM Education

Over recent years a number of techniques have been developed as part of the AMIRA2 projectectoto represent mathematically or measure directly sub-processes occurring in flotation cells.

Minerals Engineering

The focus of this work is the second part, where an objective function is necessary to represent mathematically the quality of the model.

Journal of Petroleum Science and Engineering

This suggests that considering texture features as showing heterogeneity or homogeneity in a binary manner is probably an oversimplification of what each feature represents mathematically.

EJNMMI Research

Expert writing Tips

Best practice

When using "represented mathematically", ensure the mathematical representation is clearly defined and relevant to the context. Provide the actual mathematical expression or model whenever possible to enhance clarity.

Common error

Avoid using "represented mathematically" as a vague statement. Ensure that the mathematical representation is accurate and captures the relevant aspects of the concept being represented. An oversimplified or inaccurate representation can mislead the audience.

Linguistic Context

The phrase "represented mathematically" functions as a descriptive element, specifying how a concept, phenomenon, or relationship is expressed, analyzed, or modeled using mathematical principles. As Ludwig AI explains, it indicates the application of mathematical tools for understanding or manipulating a given subject.

Expression frequency: Very common

Frequent in

Science

72%

News & Media

14%

Encyclopedias

8%

Less common in

Wiki

4%

Formal & Business

1%

Social Media

1%

Ludwig's WRAP-UP

In summary, the phrase "represented mathematically" signifies the expression of a concept or phenomenon using mathematical principles. It's deemed grammatically correct and commonly used, particularly in scientific and technical domains. As Ludwig AI states, this indicates the application of mathematical tools for understanding or manipulating a given subject. While alternatives like ""expressed mathematically"" and "modeled mathematically" exist, the core meaning remains consistent. The phrase's usage is most prevalent in scientific contexts, emphasizing the importance of precision and clarity in mathematical representations. When employing "represented mathematically", ensure the mathematical representation is well-defined and relevant to the context, avoiding oversimplification or inaccuracy.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

expressed mathematically

Changes the verb from "represented" to "expressed", offering a slightly different nuance but maintaining the core meaning.

modeled mathematically

Replaces "represented" with "modeled", implying a more abstract or simplified depiction using mathematics.

formulated mathematically

Uses "formulated" instead of "represented", suggesting a more deliberate and structured construction of a mathematical expression.

described mathematically

Employs "described" instead of "represented", focusing on the act of using mathematics to explain or characterize something.

quantified mathematically

Replaces "represented" with "quantified", emphasizing the act of assigning numerical values through mathematical means.

expressed in mathematical terms

Expands the phrase to explicitly include "in mathematical terms", providing additional clarity.

mathematically characterized

Switches the order and uses "characterized", placing emphasis on defining characteristics through mathematics.

mathematically formalized

Similar to "formulated mathematically", but implies an even stricter adherence to mathematical rules and conventions.

mathematically defined

Replaces "represented" with "defined", focusing on providing a precise mathematical meaning.

rendered in mathematical form

Uses "rendered" to suggest a transformation into mathematical notation or equations.

FAQs

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

You can use "represented mathematically" to describe how a concept, idea, or phenomenon can be expressed using mathematical symbols or equations. For example: "The relationship between the variables can be "expressed mathematically" by the equation y = mx + b."

What are some alternatives to "represented mathematically"?

Some alternatives to "represented mathematically" include "expressed in mathematical terms", "modeled mathematically", and "formulated mathematically". The best choice depends on the specific context and nuance you want to convey.

What does it mean when something is "represented mathematically"?

When something is "represented mathematically", it means that it is described or modeled using mathematical concepts, symbols, and equations. This allows for precise analysis, prediction, and manipulation of the concept.

In what fields is the phrase "represented mathematically" commonly used?

The phrase "represented mathematically" is commonly used in fields such as science, engineering, economics, and computer science, where mathematical models and equations are used to describe and analyze various phenomena.