square of diameter

USAGE SUMMARY

The phrase "square of diameter" is not correct in standard English usage.
It is unclear and does not convey a specific mathematical or geometrical concept. Example: "To find the area of the circle, you need to calculate the square of the diameter first."

⚠ May contain grammatical issues

Science

Encyclopedias

Wiki

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

The combination of linear mass and square of diameter (qD2) was the best predictor for estimating the stiffness, while qD was the best one for estimating Mmax.

Construction and Building Materials

We also found that the thermal conductance changes its character from the usual behavior, in proportion to the square of diameter (the cross-sectional area) for over 100 and 300 K, to the unusual one, not dependent on its diameter at all at low temperature.

Nanoscale Research Letters

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

As the cross-sectional area of the muscle would be expected to be roughly proportional to the square of the diameter, increased fiber diameter in Mstn−/− mice would correspond to an approximately 43% increase in fiber mass.

Plosone

Stems ≥ 6 cm diameter obey the predicted inverse square law of diameter distribution.

Palaeogeography, Palaeoclimatology, Palaeoecology

Tumor volumes were estimated by the following formula: V = 4/3*p*r3 (r = 1/2 * square root of diameter 1 * diameter 2) [ 31].

BMC Cancer

First, we plotted the square of lens diameter against the product of eye diameter and axial length (OPTmorph1, Figure 2b).

BMC Evolutionary Biology

On the basis of these loadings species with high optical ratio, i.e., the ratio of the square of lens diameter and the product of eye diameter and axial length should plot in the bottom right quadrant of morphospace.

BMC Evolutionary Biology

The error in determining the flow is especially large with errors in measurement of vessel diameter, since it is the square of the diameter that is used in cross-sectional area (πD/4) calculation.

Critical Care

Dynamic type pumps obey the affinity laws: capacity varies directly with impeller diameter and speed, head varies directly with the square of impeller diameter and speed, and horsepower varies directly with the cube of impeller diameter and speed.

Rules of Thumb for Chemical Engineers A manual of quick, accurate solutions to everyday process engineering problems

The density of the log is the integral over the length of the log of density multiplied by the square of the diameter, divided by the integral of the diameter, i.e., begin{array}{l} int_{0}^{1}left(D_{text{disc,L}}-xleft(D_{text{disc,L}}-D_{text{disc,S}}right)right)left 1- 1-R xright)^{2} dxint_{0}^{1} quad left 1- 1-R xrightht)xright)^{2} dxint_{array} (A8).

New Zealand Journal of Forestry Science

Because the area (and therefore the weight) of a balloon goes up by the square of its diameter and the volume (and therefore the lift) increases by the cube of its diameter, they succeeded handily.

Britannica

Expert writing Tips

Best practice

For clarity in mathematical or technical writing, use "diameter squared" or "the square of the radius" instead of "square of diameter".

Common error

Avoid using the phrase "square of diameter" as it's not the standard way to express the concept mathematically. This can lead to confusion among readers familiar with mathematical terminology.

Linguistic Context

The phrase "square of diameter" functions as a nominal phrase aiming to describe a mathematical operation. However, as Ludwig AI indicates, it deviates from standard mathematical terminology which prefers phrases like "diameter squared".

Expression frequency: Uncommon

Frequent in

Science

55%

Encyclopedias

25%

Wiki

10%

Less common in

News & Media

5%

Formal & Business

3%

Social Media

2%

Ludwig's WRAP-UP

The phrase "square of diameter" is used to describe the mathematical operation of squaring the diameter of a shape, often in scientific and technical contexts. However, Ludwig AI points out that it's not the standard mathematical terminology. The preferred term is "diameter squared" which ensures better clarity and adherence to mathematical norms. The usage of "square of diameter" is uncommon and can be considered grammatically incorrect, so adopting "diameter squared" is advisable for precision and correctness in writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

diameter squared

Directly states the mathematical operation, differing in word order.

diameter's square

Uses a possessive form, altering grammatical structure.

diameter to the power of two

Expresses the squaring operation using mathematical terminology.

second power of diameter

Formally denotes squaring, changing the phrasing style.

diameter multiplied by itself

Describes the squaring operation explicitly.

product of diameter with itself

Similar to multiplying by itself, but uses "product" for a formal touch.

diameter raised to the power of 2

Uses the term "raised to the power of" for mathematical precision.

the area proportional to diameter

Focuses on area, implicitly connecting it to the square of diameter.

diameter in quadratic form

Highlights quadratic relationship, slightly more abstract.

the square measure of diameter

Focuses on dimensional aspect, subtly shifting emphasis.

FAQs

How can I correctly express the concept of squaring a diameter in mathematical terms?

Use the phrase "diameter squared", which is the standard and easily understood way to convey this mathematical operation.

What's wrong with saying "square of diameter"?

While understandable, "square of diameter" is not the conventional mathematical term. Using "diameter squared" ensures better clarity and adherence to mathematical norms.

Is there a difference between "square of diameter" and "diameter squared"?

Although both phrases aim to convey the same mathematical operation, "diameter squared" is the preferred and more widely accepted term. "Square of diameter" might cause confusion due to its non-standard usage.

When is it acceptable to use "square of diameter" instead of "diameter squared"?

It's best to avoid "square of diameter" in technical or mathematical writing. Stick to "diameter squared" for precision. In very informal contexts, it might be understood, but clarity is always preferable.