a direct proportion

USAGE SUMMARY

The phrase "a direct proportion" is correct and usable in written English.
It is typically used in mathematical or scientific contexts to describe a relationship where one quantity increases or decreases in direct relation to another quantity. Example: "In physics, the distance traveled by an object is in a direct proportion to the time it has been moving at a constant speed."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

15 human-written examples

In general, the thermal conductivity decreases as the volume ratio of insulations increases, while the mechanical properties, such as strength and directional modulus, have a direct proportion to the insulation volume.

International Journal of Concrete Structures and Materials

The results indicated that the deposition rate of coatings had a direct proportion to deposition pressure and GeH4 CH4 flow ratio.

Surface and Coatings Technology

There is a direct proportion between the number of traces on SSNTDs and the activity concentration of radon with proportion coefficient that is called calibration coefficient (detection response).

Measurement

Electron microscopy demonstrated the flake-like rearrangement of nanorods as well as a structure-related growth where a direct proportion exists between atomic packing factor in lattice and aspect ratio.

Ultrasonics Sonochemistry

In the equations the motion parameters of the particles in jig, such as velocity, acceleration, force etc. are in a direct proportion to the air pressure, and have a definite non-linear relationship with the jigging cycle, thickness, mobility of the jig bed, mass and size of the particles and so on.

Procedia Earth and Planetary Science

Based on a direct proportion between thickness and time, the three interglacial intervals were determined to be longer than postglacial time by factors of 3, 6, and 8. To convert these relative factors into absolute ages required an estimate in years of the length of postglacial time.

Encyclopedia Britannica

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

Probably the most commonly known phrase from my sport is "Gola!," stretching the "l" and the "a" in direct proportion to a fan's fanaticism when his or her team puts the ball through the net.

The New York Times

Thus, our observations indicate that centromeric levels are determined by a mass-action mechanism, where the amount of centromeric CENP-A varies in direct proportion with the cellular content.

eLife

Like governors of both parties around the country, Corzine, a Democrat, has seen his standing with the voters take a battering in direct proportion to his state's economy.

The New York Times - Magazine

That will require more information to be exchanged, more levers operated from outside, and a diminution, in direct proportion to economic weakness, of sovereignty.

Independent

The ELSD generates a signal in direct proportion to the quantity of the analyte present.

BMC Complementary and Alternative Medicine

Expert writing Tips

Best practice

When describing scientific or mathematical relationships, use "a direct proportion" to clearly indicate that two quantities increase or decrease together at a constant rate.

Common error

Avoid assuming that "a direct proportion" implies causation. Just because two variables change together doesn't mean one causes the other. Other factors may be involved.

Linguistic Context

The phrase "a direct proportion" functions as a noun phrase that describes a specific type of relationship between two quantities or variables. As Ludwig AI identifies, it signifies that as one quantity increases, the other increases correspondingly at a constant rate.

Expression frequency: Common

Frequent in

Science

60%

News & Media

25%

Encyclopedias

15%

Less common in

Formal & Business

0%

Social Media

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "a direct proportion" is a common and grammatically correct term primarily used in scientific, mathematical and news contexts to describe a relationship where two quantities increase or decrease together at a constant rate. As confirmed by Ludwig AI, it's essential to understand the implications of this phrase to accurately convey relationships between variables. While similar to "a linear relationship", it is important to note that "a direct proportion" requires the line to pass through the origin. When using "a direct proportion", avoid assuming causation and ensure that the context supports the claim of a proportional relationship.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a proportional relationship

Emphasizes the mathematical relationship where quantities change at a constant rate.

a linear correlation

Highlights the linear aspect of the relationship, where changes are consistent along a straight line.

a positive correlation

Indicates that as one variable increases, the other also increases, but doesn't necessarily imply a constant rate.

a direct correspondence

Focuses on the one-to-one relationship between two elements or sets.

a constant ratio

Stresses that the ratio between two quantities remains the same.

a fixed relationship

Highlights the unchanging connection between two variables.

a straightforward correlation

Implies a simple and easily understood connection between two things.

a consistent pattern

Focuses on the regularity and predictability of the relationship.

a close connection

Indicates a strong link but doesn't specify the type of relationship.

a tight bond

Suggests a strong and inseparable association.

FAQs

How is "a direct proportion" used in mathematical contexts?

In mathematics, "a direct proportion" indicates that two quantities increase or decrease at a constant rate relative to each other. For instance, if y is in direct proportion to x, then y = kx, where k is the constant of proportionality.

What's the difference between "a direct proportion" and "an inverse proportion"?

With "a direct proportion", as one quantity increases, the other increases as well. In contrast, with "an inverse proportion", as one quantity increases, the other decreases.

Can I use "a linear relationship" instead of "a direct proportion"?

"A linear relationship" is similar to "a direct proportion", but it's broader. "A direct proportion" implies that the line passes through the origin (0,0), while "a linear relationship" doesn't necessarily have to.

What are some real-world examples of "a direct proportion"?

Examples include the distance traveled at a constant speed being in "a direct proportion" to the time, or the cost of buying multiple items of the same price being in "a direct proportion" to the number of items.