by an integer index

USAGE SUMMARY

The phrase "by an integer index" is correct and usable in written English.
It can be used in contexts involving mathematics, programming, or data structures where indexing is relevant. Example: "The elements in the array can be accessed by an integer index, allowing for efficient retrieval of data."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Now, clusters J k ( u ), with u≤JMAX, are ordered by an integer index c, and for each cluster J c, c ∈ C, we define the corresponding set U c of UEs that can be scheduled for reception, which is formed by the UEs whose anchor BS belongs to J c, i.e., U c = k ∈ K : f k ( 1 ) ∈ J c. (12).

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

For polytropes with an equation of state specified by an integer polytropic index, our method delivers exponential accuracy with increased truncation, although for "stiff" equations of state (e.g. fractional) it suffers from the same accuracy loss as current methods.

Journal of Computational Physics

All elements of a line can be accessed from an Interval object by their integer index, and core attributes by their name.

Bioinformatics

We map the elements of the steady state probability vector π (i,j) from state to index by assigning a unique integer index to identify each state.

EURASIP Journal on Wireless Communications and Networking

The level of difficulty, and of potentially poor numerical behavior, of a DAE system is quantifiable by an integer called its index, with an ODE system having index 0. Solvers of generally good performance, e.g. DASSL and LSODI, are available for index 1 DAE systems, but are not reliable for the index 2 problems we obtain by direct approaches here.

Chemical Engineering Science

Here each node is represented by an integer, which is an index in the vertex set V. Note that the ARG constructed by IRiS could contain more than one root nodes because the reconstructed graph is only partial ARG (or subARG), which may contain only a subset of nodes and edges of the true ARG.

BMC Genomics

As shown in the paper, if the sampling period is increased by an integer multiple, the optimal parity space index and the optimal H2/H2 index will degrade, but the optimal H-/H∞ index will become better.

IFAC-PapersOnLine

As in some earlier work, the principal results rely on a classification of reaction networks by means of an easily computed non-negative integer index called the deficiency.

Chemical Engineering Science

In the experiment size was indexed by an integer k from 0 to 4. In each case the radius multiplier was 2k+.5.

Plosone

R c contains concordant true aberrations of width w c at row intervals specified by an integer set C, which contains the row indices of aberration centers.

Bioinformatics

Rc contains concordant true aberrations of width wc at row intervals specified by an integer set C, which contains the row indices of aberration centers.

Bioinformatics

Expert writing Tips

Best practice

When using the phrase "by an integer index", ensure that the context clearly indicates what is being indexed and why an integer is the appropriate indexing method. This is especially relevant in technical or mathematical writing.

Common error

Avoid using "by an integer index" when referring to non-integer-based indexing methods or when the indexing mechanism is unclear. Always clarify what is being indexed and how the integer relates to it.

Linguistic Context

The phrase "by an integer index" functions as a prepositional phrase specifying the method of indexing. It describes how elements are accessed or identified within a structured set. Ludwig confirms the phrase is usable in written English.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "by an integer index" is a prepositional phrase used to specify that elements are accessed or identified using an integer as an index. It is most frequently found in scientific and technical contexts. While grammatically correct, its usage is relatively rare. As confirmed by Ludwig, the phrase is acceptable for use in written English. When utilizing the phrase, ensure clarity and relevance to maintain the integrity of the communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

indexed by an integer

Changes the preposition used while maintaining the core meaning of using an integer for indexing.

referenced via an integer index

Replaces "by" with "via" and uses "referenced" instead of a more passive construction.

identified through an integer index

Focuses on identification rather than the direct action of indexing, using "through" instead of "by".

accessed using an integer index

Emphasizes the act of accessing data, rather than the indexing itself.

determined by an integer index

Highlights how an integer index can determine a value or position.

specified by an integer index

Focuses on how an integer index is used to specify something.

located with an integer index

Describes the use of an integer index to find the location of an item.

designated by an integer index

Similar to "specified," but implies a more formal or deliberate assignment.

given an integer index

Focuses on the integer index being assigned to an element.

labeled with an integer index

Highlights the act of labeling or tagging using an integer.

FAQs

How can I use "by an integer index" in a sentence?

You can use "by an integer index" to describe how elements in a data structure are accessed, for example: "The array elements are accessed "indexed by an integer"".

What does "by an integer index" mean?

It means that elements or items are identified or accessed using an integer number that represents their position in a sequence or structure.

What are some alternatives to "by an integer index"?

Alternatives include "indexed by an integer", "referenced via an integer index", or "accessed using an integer index" depending on the specific context.

In what contexts is "by an integer index" commonly used?

It's often used in technical and mathematical contexts, such as programming, data structures, and scientific research, where ordered sequences and arrays are common.