common volume between

USAGE SUMMARY

The phrase "common volume between" is correct and usable in written English.
It can be used in contexts involving mathematics, geometry, or discussions about shared spaces or quantities. Example: "To find the total capacity of the containers, we need to calculate the common volume between the two shapes."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

The common volume between infused drugs was roughly 8.5 ml.

Annals of Intensive Care

The common volume between infused drugs was reduced to that of the internal lumen alone of the central venous catheter.

Annals of Intensive Care

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

Including a stereological parameter describing the amount of contact between grain boundaries and particles yields a common volume fraction exponent of unity in essentially all models.

Acta Materialia

The most common volume among the conformers was 307 Å3 (for 10,920,699 conformers) and 99% of the conformers have a volume between 130 and 487 Å3.

Journal of Cheminformatics

Both radars detect echoes from a common volume over Wakkanai.

Earth, Planets and Space

Use the more common volume formulas for regular objects to find the volume of each section.

WikiHow

where V AA and V BB are the self-overlap volume of conformers A and B and V AB is the common overlap volume between them.

Journal of Cheminformatics

where V AA and V BB are the self-overlap volumes of conformers A and B, respectively, and V AB is the common overlap volume between A and B. The 3-D neighboring requires finding the maximum shape similarity between static compound 3-D conformations, as dictated by V AB in Equation 1, to calculate ST, a computationally intensive step.

Journal of Cheminformatics

S T = V A B V A A + V B B - V A B (3). where ST is the measure of shape similarity (shape Tanimoto), V AA and V BB are the respective self-overlap volume of conformers A and B, and V AB is the common overlap volume between them.

Journal of Cheminformatics

where AB shape is the common shape volume between the conformer pair (using a precomputed shape-grid at 0.25 Å resolution) and AB feature is the sum of six component feature overlaps (using a feature atom radius of 1.25 Å, to account for proximate color atoms).

Journal of Cheminformatics

The ST score is a measure of shape similarity, which is defined as the following: ST = frac{{V_{AB} }}{{V_{AA} + V_{BB} - V_{AB} }} (2 where V AA and V BB are the self-overlap volumes of conformers A and B and V AB is the common overlap volumes between them.

Journal of Cheminformatics

Expert writing Tips

Best practice

In geometric contexts, "common volume between" is useful for describing the overlapping region of multiple objects.

Common error

Avoid using "common volume" when you mean the total volume of separate entities. "Common volume between" refers to the overlapping or shared volume, not the sum of individual volumes.

Linguistic Context

The phrase "common volume between" functions as a noun phrase, typically used as a subject or object in a sentence. It denotes a shared or overlapping volumetric space between two or more entities or substances. This is supported by Ludwig's examples, showing its use in scientific contexts.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "common volume between" is a grammatically sound noun phrase that is typically found in scientific and technical contexts. As confirmed by Ludwig AI, it's used to describe a shared or overlapping volumetric space, serving the purpose of quantifying and clarifying spatial relationships. While its frequency is relatively rare, understanding its proper usage is crucial for precise communication in relevant fields. When writing, avoid confusing it with the total volume and ensure it accurately represents the intended shared space.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

shared volume between

Emphasizes the sharing aspect of the volume, rather than it being common.

overlapping volume of

Focuses on the overlap, suggesting a partial sharing of volume.

mutual volume between

Highlights the reciprocity of the volume, implying it's shared equally.

intersecting volume of

Specifically refers to the volume where two or more objects or spaces meet.

combined volume of

Refers to the total volume when two or more volumes are added together or considered as one.

common spatial extent between

Replaces "volume" with a more general term, "spatial extent", broadening the context.

shared space between

Shifts the focus from volume as a quantity to space as a region.

volume in common between

Reorders the phrase while maintaining the core meaning.

common quantity between

Uses a broader term "quantity" instead of volume.

correlation in volume between

Focuses on the correlation instead of the volume itself.

FAQs

How can I use "common volume between" in a sentence?

You can use "common volume between" to describe the shared space occupied by multiple entities, such as "The common volume between the two solutions determined the reaction rate."

What's the difference between "shared volume" and "common volume between"?

"Shared volume" generally refers to a volume that is jointly used, while "common volume between" specifically describes the overlapping or intersecting volume of multiple entities. Consider using "shared volume between" if the emphasis is on joint use.

Which is a better term to use when referring to two or more objects meeting, "intersecting volume" or "common volume between"?

Both "intersecting volume" and "common volume between" can be appropriate. "Intersecting volume" may be more precise in a geometric context, while "common volume between" can be used more broadly. It depends on the context whether "intersecting volume of" is more descriptive.

What are some alternative phrases for "common volume between" in scientific writing?

In scientific writing, consider using more precise terms like "overlapping volume of" or "mutual volume between" for greater clarity.