cube of the distance

USAGE SUMMARY

The phrase "cube of the distance" is correct and usable in written English.
It can be used in mathematical or scientific contexts when discussing the mathematical operation of raising a distance to the third power. Example: "To calculate the gravitational force, we need to consider the cube of the distance between the two objects."

✓ Grammatically correct

Science

Encyclopedias

News & Media

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

It is apparent that the magnetic field decreases rapidly as the cube of the distance from the dipole.

Encyclopedia Britannica

Because H2 is thought to distribute throughout the body by passive diffusion upon delivery from the blood flow, the H2 molecules that reach the target organ is in inverse proportion to the cube of the distance from the area of administration.

Nature

If we assume that the noise decreases as the cube of the distance from the spacecraft center, it is estimated to be below (9;{text{pT}}/sqrt {text{Hz}}) at the MGF-S position after MAST deployment, which is comparable to the noise of the MGF instrument itself, as shown in Fig. 5.

Earth, Planets and Space

As is well established, the distance dependence of the magnetic field noise level is related to the size of the current loop of the noise source, and the limit levels are defined in accordance with the case that the level is inversely proportional to the square or the cube of the distance.

Earth, Planets and Space

For transmitters based on a dipole excitation source, the generated field strength decreases with the inverse cube of the distance between the transmitter and the sensor [ 24].

Biomedical Optics Express

In this long interspin distance limit, T = [− T, − T, +2 T], where T is proportional to the inverse of the cube of the distance between the electron and nuclear spins.

Accounts of Chemical Research

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

The Sun's dipole magnetic field of 50 400 μT (at the photosphere) reduces with the inverse-cube of the distance to about 0.1 nT at the distance of Earth.

Wikipedia

But even small improvements in sensitivity can help, since the volume of space being probed, and thus the rate of gravitational-wave detections, grows as the cube of these distances.

Massachusetts Institute of Technology

Since the magnetic field rapidly attenuates as one over the cube of the source-receiver distance, being able to fly at low altitudes is a big advantage for obtaining data with a high signal-to-noise ratio.

Earth, Planets and Space

Carriers pricing can reflect the mode of transportation and type of equipment used, load weight, the density of the load (the two-dimensional or three-dimensional cube of the goods shipped), distance traveled, point of origin or destination, the types of goods shipped, and other things as well.

Forbes

17. Kepler, in Harmonice Mundi, composed melodies for planets, which allowed him to discover the Harmonic Law the square of the periodic times are to each other as the cubes of the mean distance.

SEP

Expert writing Tips

Best practice

In scientific writing, ensure that you clearly define what "distance" refers to within the context of your equation or explanation.

Common error

Avoid assuming a direct proportionality where the relationship is actually inverse. For example, stating that force increases with the "cube of the distance" when it actually decreases (as in some field strength calculations) can lead to incorrect conclusions.

Linguistic Context

The phrase "cube of the distance" functions as a noun phrase, typically serving as an argument in mathematical or scientific expressions. It specifies a mathematical operation performed on a distance value, as demonstrated in Ludwig's examples related to magnetic fields and noise reduction.

Expression frequency: Rare

Frequent in

Science

60%

Encyclopedias

20%

News & Media

20%

Less common in

Wiki

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "cube of the distance" is a mathematically precise term denoting a distance value raised to the third power. According to Ludwig, it is grammatically sound and most frequently appears in scientific contexts to describe phenomena involving inverse-cube relationships, such as field attenuation. While alternatives like "distance cubed" exist, "cube of the distance" offers clarity in certain situations. Ensure proper context when using this phrase, and avoid misinterpreting the underlying proportionalities. The Ludwig AI confirms the phrase's accuracy and provides relevant usage examples.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

distance cubed

Changes the word order while retaining the exact mathematical meaning; more concise.

third power of the distance

Replaces "cube" with its equivalent mathematical term, "third power".

distance to the power of three

An expanded version using more common language to express the exponentiation.

distance raised to the third power

Formal mathematical phrasing for exponentiation.

distance's cubic value

Focuses on the cubic magnitude associated with the distance.

volume based on distance

Shifts focus to volume calculation using distance as a parameter.

scaling with the cube of distance

Emphasizes proportional scaling relative to distance changes.

distance multiplied by itself thrice

Descriptive, non-technical explanation of cubing the distance.

the cube proportional to the distance

Highlights that a cube is proportional to the distance.

the cube built upon the distance

Implies geometric construction or conceptual foundation based on distance.

FAQs

How is "cube of the distance" used in physics?

In physics, "cube of the distance" often appears in formulas describing inverse-cube relationships, such as the attenuation of certain fields or forces. Understanding this relationship is essential in fields like electromagnetism and astrophysics.

What's a simple way to explain "cube of the distance"?

It means you're taking a certain distance and multiplying it by itself three times. For example, if the distance is 2 meters, the "cube of the distance" is 2 * 2 * 2 = 8 cubic meters.

When should I use "cube of the distance" versus "distance cubed"?

"Cube of the distance" and "distance cubed" are interchangeable. "Distance cubed" is more concise, while "cube of the distance" may offer greater clarity in some contexts.

Is there a difference between "cube of the distance" and "cubic distance"?

While related, "cube of the distance" refers specifically to the mathematical operation. "Cubic distance" might refer more broadly to a distance measured or conceptualized in three dimensions, but in general in most context the two are synonyms.