of a particular value of

USAGE SUMMARY

The phrase "of a particular value of" is correct and usable in written English.
It can be used when specifying or discussing a specific value in a mathematical, scientific, or analytical context. Example: "The results indicate a significant change in the outcome at a particular value of the variable."

✓ Grammatically correct

Science

Encyclopedias

News & Media

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

In other words, each instance (a,b,c) of X corresponds with exactly one instance a/(b+1) of Z1, while an instance of Z1 may correspond with multiple instances of X. Naturally, the probability of a particular value of Z1 can be determined by summing the probabilities of all (multinomial) vectors that are associated with this value.

Journal of Statistical Distributions and Applications

To satisfy the condition x k > > 1 some constant x0 may be added to the gray level of every original image pixel and after restoration the same constant should be deducted from the gray level of every restored image pixel, hence, the selection of a particular value of x0 is not critical [10].

EURASIP Journal on Advances in Signal Processing

We plotted the minimum number of the independent value-coding neurons necessary to achieve the value comparison function of a particular value of β.

F1000Research

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

The design charts have curves of the performance ratio plotted in terms of the fin aspect ratio against the maximum effectiveness for a particular value of the ratio of the fin radius to the half fin thickness.

Applied Thermal Engineering

Also shown is an example of a limit cycle for a particular value of k −.

The Journal of Mathematical Neuroscience

In Section 3.3, we showed that if a particular set of parameters minimizes for a particular value of, the use of the resource has been optimally allocated across the parameter set.

EURASIP Journal on Wireless Communications and Networking

First, while the second term on the right side in (13) is constant for a particular value of, the minimization of the first term is not trivial.

EURASIP Journal on Information Security

In this case, the proportion of commitment increases linearly with the flux for a particular number of options, and decreases again smoothly with the number of options for a particular value of the flux.

Plosone

Time courses of wild-type and resistant infections in Figure 2 illustrate these dramatic changes in the profile of outbreaks for a particular value of the reproduction number <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0001839.e032.PNG" class= inline-graphic"/>.

Plosone

The 95% confidence interval for the fitted value of y for a particular value of x, say xp, is again calculated as fitted y ± (tn-2 × the standard error).

Critical Care

Thus, a Monte Carlo approximation of the phenotypic variance was determined for a particular value of THI during the measurement day.

Genetics, Selection, Evolution

Expert writing Tips

Best practice

When using "of a particular value of", ensure the context clearly defines what the value represents and why it is significant to the discussion. This helps avoid ambiguity.

Common error

Avoid using "of a particular value of" in situations where simpler phrasing like "for a specific value" would suffice. Overusing complex phrases can make your writing sound unnecessarily convoluted.

Linguistic Context

The phrase "of a particular value of" functions as a prepositional modifier. It typically modifies a noun or clause by specifying a condition or state related to a specific value. Ludwig confirms this usage, highlighting its role in specifying conditions related to values.

Expression frequency: Uncommon

Frequent in

Science

60%

Encyclopedias

20%

News & Media

20%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "of a particular value of" serves as a precise prepositional modifier, commonly used to specify a condition or scenario contingent on a specific value. As Ludwig AI indicates, it maintains grammatical correctness and finds its niche in formal and scientific contexts. While alternatives such as "for a specific value of" or "at a certain value of" exist, "of a particular value of" retains a slightly more formal tone, primarily within scientific documents, encyclopedia entries and news reports. To ensure effective communication, especially when writing technical documentation, it's crucial to clearly define the value's context and significance, thus improving clarity and avoiding unnecessary complexity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

for a specific value of

Replaces "particular" with "specific", emphasizing precision.

at a certain value of

Substitutes "particular" with "certain", indicating a definite but unspecified value.

given a specific value of

Adds a conditional aspect, highlighting that the value is predetermined.

for one value of

Simplifies the phrase, focusing on a single instance.

with a defined value of

Emphasizes the clarity and precision of the value.

when the value is

Uses a clause structure to describe the condition.

if the value equals

Expresses a conditional statement with an equality.

for a designated value of

Highlights the act of pre-selecting a value.

at a prescribed value of

Emphasizes that the value is set according to a rule or standard.

for a set value of

Highlights that the value is fixed and predetermined.

FAQs

How can I use "of a particular value of" in a sentence?

This phrase is used to specify that a certain condition or result applies when a variable has a specific, though perhaps unspecified, numerical value. For example: "The system behaves erratically of a particular value of resistance".

What can I say instead of "of a particular value of"?

You can use alternatives like "for a specific value of", "at a certain value of", or "given a specific value of depending on the context".

Which is correct, "of a particular value of" or "with a particular value"?

Both are correct, but they have slightly different uses. "Of a particular value of" emphasizes the conditional nature of the value. "With a particular value" simply indicates possession of that value.

What's the difference between "of a particular value of" and "for a particular value"?

While both are valid, "of a particular value of" is slightly more formal and is often used in technical or scientific contexts to emphasize the conditionality related to that value. "For a particular value" is more general.