the density with which

USAGE SUMMARY

The phrase "the density with which" is correct and usable in written English.
It can be used when discussing the degree or concentration of a particular substance or quality in relation to another factor. Example: "The density with which the material is packed affects its overall strength and durability."

✓ Grammatically correct

News & Media

Science

Academia

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

By any standard except perhaps its own, the density with which it keeps adding ballets to its repertory is staggering.

The New York Times - Arts

Thus, the density with which energy is being deposited in the absorber along the particle's track tends to increase as it slows down.

Britannica

Faced with ever growing amounts of global data volumes, hardware engineers are aiming to maximize the density with which these media can store information.

Stanford University

Such is the density with which they congregate at the height of an invasion, that they have even been known to cause slicks on highways.

BBC

The density with which every world is packed with fun details, secret coins, hidden minigames, easter eggs, and so on makes them feel larger than they are, and they're by no means small.

TechCrunch

Our findings imply that the average direction of epistasis in simple fitness landscapes is directly related to the density with which fitness peaks are distributed in these landscapes.

BMC Evolutionary Biology

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

Sean Scully's big abstracts retain much more than a memory of experienced architecture, but they relate to the human body too, and there is something wonderfully invigorating about the measured density with which their paint brings them into the world.

The Guardian - Arts

To calculate the HGF for each of our new operators, we need to be able to determine the probability density with which a particular type-change path is proposed.

Bioinformatics

Two important parameters, Pcr, the critical heat power density of maintaining thermal stability, and Pmax, the maximum heat power density with which the system can be loaded, are identified.

Carbon

As a consequence, the feature space is not filled with enough data samples to estimate the density with reliable accuracy, which can give wrong or high variance models while building classifiers, having to extrapolate for the missing samples: obtained results can have rather high confidence interval and hence be statistically irrelevant.

EURASIP Journal on Information Security

The variable selection procedure used in multiple regressions always selected depth among the significant explanatory variables accounting for variations in body size and density, with which depth was always negatively correlated (Table 1).

Plosone

Expert writing Tips

Best practice

Use "the density with which" when you want to emphasize not just the presence of something, but also how compactly or intensely it is distributed or manifested. This phrase adds a layer of precision and impact, indicating a concentrated or frequent occurrence. For instance: "The density with which the stars populated the night sky was breathtaking."

Common error

Be mindful not to use this phrase when a simpler alternative would suffice. Overusing complex phrasing can make your writing sound verbose. In many cases, simpler phrases like "the concentration of" or "the frequency of" can convey the same meaning more clearly and directly.

Linguistic Context

The phrase "the density with which" functions as an adverbial phrase, modifying a verb or clause by indicating the degree or intensity of an action or state. Ludwig AI examples illustrate its use in describing how compactly or intensely something occurs.

Expression frequency: Uncommon

Frequent in

Science

40%

News & Media

30%

Academia

20%

Less common in

Encyclopedias

10%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "the density with which" is a grammatically correct and formal phrase used to specify the degree, intensity, or concentration of an action or phenomenon. Ludwig AI indicates that its usage spans across scientific, academic, and news media contexts, though it is not particularly common. While considered appropriate, simpler alternatives may sometimes be more suitable to avoid unnecessary verbosity. When employing this phrase, be clear about what 'density' refers to and ensure the phrasing enhances the precision of your communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the concentration at which

Replaces "density" with "concentration", focusing on the amount of something in a given space.

the intensity with which

Substitutes "density" with "intensity", emphasizing the strength or force of something.

the frequency with which

Uses "frequency" instead of "density", highlighting how often something occurs.

the degree to which

Replaces the entire phrase with a more general expression indicating extent or level.

the extent to which

Similar to "the degree to which", emphasizing the range or scope of something.

the measure of

Uses "measure" to indicate a quantifiable aspect of something, replacing "density".

the level of

Focuses on the magnitude or height of something, rather than its compactness.

the amount of

Emphasizes the quantity or volume of something, changing the focus from density.

the proportion of

Highlights the ratio or percentage of something, altering the emphasis from density.

the rate at which

Focuses on the speed or pace of something, differing from the concept of density.

FAQs

How can I use "the density with which" in a sentence?

Use "the density with which" to describe the concentration or intensity of something in relation to another factor. For example: "The density with which the data was presented made it difficult to understand."

What are some alternatives to "the density with which"?

You can use alternatives like "the concentration at which", "the intensity with which", or "the frequency with which" depending on the context.

When is it appropriate to use "the density with which" instead of a simpler phrase?

Use "the density with which" when you want to specifically emphasize the compactness or intensity of a distribution or occurrence. This is particularly useful in scientific or technical contexts where precision is important.

Is "the density with which" formal or informal?

"The density with which" is generally considered a formal phrase. Simpler alternatives might be more appropriate in informal contexts.