expressed mathematically

USAGE SUMMARY

The phrase "expressed mathematically" is correct and usable in written English.
It can be used when discussing concepts, relationships, or phenomena that can be represented using mathematical symbols or equations. Example: "The relationship between the variables can be expressed mathematically as y = mx + b."

✓ Grammatically correct

Science

Encyclopedias

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The resulting mathematical expression for the risk from a dose, D, can be expressed mathematically as where Φ is the standard normal distribution function, log indicates base 10 logarithm, and σ is the overall log variance (the sum of the log variances of the individual sources of variation).

Environmental Health Perspectives

Ohm's law may be expressed mathematically as V/I = R.

Encyclopedia Britannica

Expressed mathematically, the equation is VF/VW = 2R/(r2 - r1).

Encyclopedia Britannica

Dembski argues that specified complexity, when expressed mathematically, provides an unmistakable signature of intelligence.

The New Yorker

Perturbation forces, when expressed mathematically in terms of strength and time, are called forcing functions.

Encyclopedia Britannica

Expressed mathematically, f = dv/dt = d2x/dt2; in the present case, f takes the constant value 2a.

Encyclopedia Britannica

The shear modulus itself may be expressed mathematically as shear modulus = (shear stress)/(shear strain) = (F/A)/(x/y).

Encyclopedia Britannica

In deformation of volumes under pressure, the normal strain, expressed mathematically, is equal to the change in volume divided by the original volume.

Encyclopedia Britannica

The willingness of creatures to risk their lives to protect others from predators, sociobiologists say, can be explained by kin selection -- the degree to which the protectors and protected share genes, a concept that can be expressed mathematically.

The New York Times - Science

The previous sentence could be expressed mathematically as a whole bunch of zeros, which is to say that the $20 million that is one object of the heist in question is small change.

The New York Times

Expressed mathematically, the force F required to move a block D up an inclined plane without friction is equal to its weight W times the sine of the angle the inclined plane makes with the horizontal.

Encyclopedia Britannica

Expert writing Tips

Best practice

When using "expressed mathematically", ensure that the mathematical expression is clear and accurately reflects the concept being described. Provide the equation or formula for clarity.

Common error

Avoid using "expressed mathematically" without actually providing the mathematical expression. It can leave the reader without understanding the concrete details.

Linguistic Context

The phrase "expressed mathematically" functions as a modifier, typically used to indicate that a concept or relationship is being represented using mathematical terms, symbols, or equations. This phrase is commonly used in academic writing to improve clarity and to allow the reader to see a more precise representation of the concept being discussed. Ludwig AI confirms that the phrase is correct and usable.

Expression frequency: Very common

Frequent in

Science

70%

Encyclopedias

15%

News & Media

10%

Less common in

Formal & Business

1%

Wiki

1%

Reference

1%

Ludwig's WRAP-UP

In summary, "expressed mathematically" is a phrase used to indicate that a concept or relationship is being represented using mathematical notation or equations. Ludwig AI confirms its correctness and usability. It's very common in scientific, academic, and technical writing. It functions as a modifier to specify the mode of expression and aims for precision and clarity. The phrase is most often found in scientific publications and encyclopedias. When using this phrase, ensure you provide the actual mathematical expression for maximum clarity. Alternatives include "formulated mathematically" and "represented mathematically".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

formulated mathematically

Focuses on the act of creating a mathematical formulation.

represented mathematically

Emphasizes the act of showing or depicting something using mathematical terms.

modeled mathematically

Highlights the use of mathematical models to represent something.

defined mathematically

Focuses on providing a mathematical definition.

written mathematically

Emphasizes the act of writing something in mathematical notation.

quantified mathematically

Focuses on expressing something in terms of numerical quantities using math.

translated into mathematics

Highlights the conversion of something into mathematical terms.

mathematically described

Emphasizes the descriptive aspect using math.

characterized mathematically

Focuses on using mathematics to define characteristic aspects.

rendered in mathematical terms

Highlights the transformation of something into a mathematical form.

FAQs

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

You can use "expressed mathematically" to indicate that a concept, relationship, or phenomenon is being represented using mathematical notation or equations. For example, "Ohm's law can be "expressed mathematically" as V/I = R".

What are some alternatives to "expressed mathematically"?

Alternatives include "formulated mathematically", "represented mathematically", or "modeled mathematically", depending on the context.

Is it always necessary to show the equation when saying something is "expressed mathematically"?

While not always mandatory, showing the equation after stating that something is ""expressed mathematically"" is highly recommended for clarity and completeness. Omitting it can make your explanation less effective.

What's the difference between "expressed mathematically" and "described mathematically"?

"Expressed mathematically" typically implies a concise representation using equations or formulas, while "described mathematically" suggests a more detailed explanation using mathematical principles but not necessarily a single equation.