a discrete interval

USAGE SUMMARY

The phrase "a discrete interval" is correct and usable in written English.
It can be used in contexts involving mathematics, statistics, or any field where specific, distinct ranges or segments are discussed. Example: "The data was collected over a discrete interval of time, allowing for precise analysis of trends."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

Let, be integers, and, be a discrete interval in.

Advances in Difference Equations

Also, for an -valued function on a discrete interval, its norm is denoted by.

Advances in Difference Equations

However, (1.1) is said to be disconjugate in a discrete interval if the solution of (1.1) given by the initial condition, has no generalized zero in.

Advances in Difference Equations

To explain the unintuitive behavior of X-midconvexity, we need the notion of a discrete interval (for m ∈ N 0 ): [ a, b ] m : = { k m a + ( 1 − k m ) b : k ∈ { 0, …, m } }.

Journal of Inequalities and Applications

Bioirrigation intensity is either assumed to be constant over a discrete interval, or a functional depth-dependence is assigned to enhanced diffusion coefficients or nonlocal exchange coefficients.[12, 13, 29, 30] Values of irrigation coefficients are generally derived by fitting chemical profiles, rather than by relying on ecological information.

Geochemical Transactions

Although we agree that the language currently used is fundamentally flawed these proposed alternatives are also inaccurate, as they describe something which is conceptually different: that of a discrete interval within the diagnostic pathway.

BMC Health Services Research

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

We define that a discrete-interval binary sequence (DIBS) is the discrete-time representation of a discrete-interval binary signal.

EURASIP Journal on Advances in Signal Processing

Let be continuous for, for any. is said to bealmost periodic in uniformly for if for any and any compact set, there exists a number such that any discrete interval of length contains a for which (2.4).

Advances in Difference Equations

Discrete modeling of such kind of problems is done adequately by difference equations with maxima over a past time discrete interval.

Journal of Inequalities and Applications

We employ [ a, b ] Z to denote the discrete interval given by { a, a + 1, …, b }.

Advances in Difference Equations

For a, b ∈ Z and c ∈ R, Z [a, b] denotes the discrete interval {a, a + 1,..., b} when a < b and [c] denote the largest integer less than c.

Advances in Difference Equations

Expert writing Tips

Best practice

When using "a discrete interval", ensure the context clearly defines what is being measured or considered within that interval. For example, specify the units or criteria that delineate the interval's boundaries.

Common error

Avoid using "a discrete interval" without clearly specifying the boundaries or parameters of the interval. Lack of definition can lead to ambiguity and misinterpretation of data or results.

Linguistic Context

The phrase "a discrete interval" functions as a noun phrase, typically serving as the subject, object, or complement within a sentence. It identifies a specific, separate range or segment, often in a mathematical or scientific context, as shown in the examples provided by Ludwig.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, "a discrete interval" is a grammatically correct noun phrase primarily used in formal and scientific contexts to denote a specific, separate range or segment. Ludwig's AI confirms its usability, and the examples illustrate its application in academic and scientific literature. While not frequently used, it serves a precise communicative purpose, and related phrases like "distinct interval" or "separate range" can offer alternatives depending on the desired emphasis. When using "a discrete interval", ensure clear definition of the boundaries for accurate interpretation.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

distinct interval

Replaces 'discrete' with 'distinct', emphasizing separateness.

separate range

Uses 'separate' and 'range' to convey the idea of a distinct scope.

specific segment

Employs 'specific' and 'segment' to highlight a particular portion.

defined period

Focuses on the temporal aspect, suggesting a clearly marked time frame.

isolated section

Replaces 'interval' with 'section', emphasizing the isolated nature.

individual span

Highlights the individuality and duration of the interval.

discrete period of time

Adds "of time" to clarify the temporal nature of the discrete interval.

distinct portion

Highlights a clearly defined part of a whole.

finite segment

Emphasizes the limited and measurable nature of the segment.

quantifiable range

Highlights the measurable and limited nature of the range.

FAQs

How can I use "a discrete interval" in a sentence?

You can use "a discrete interval" when discussing specific, separate ranges or segments, such as "The data was collected over "a discrete interval" of time for precise analysis."

What are some alternatives to "a discrete interval"?

Alternatives include "a distinct range", "a separate segment", or "a defined period", depending on the context.

In what contexts is "a discrete interval" typically used?

"A discrete interval" is often used in mathematical, statistical, and scientific contexts to refer to specific, non-overlapping ranges of values or time periods.

What distinguishes "a discrete interval" from a continuous interval?

While "a discrete interval" refers to a set of separate, distinct values or points, a continuous interval includes all values between two given points.