a pivot element

USAGE SUMMARY

The phrase "a pivot element" is correct and usable in written English.
It can be used in contexts such as mathematics, computer science, or discussions about decision-making where a central or crucial component is being referred to. Example: "In the quicksort algorithm, the choice of a pivot element is critical for the efficiency of the sorting process."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

4 human-written examples

It has a curved steel wall that is connected to a pivot element or ball-joint by steel trusses.

Engineering Structures

Recall further that all entries to the right of, above and below a pivot element equal to 1 must be zero.

Automatica

Note that in numerical GJE algorithms the typical leading row and column selection rule consists of choosing a pivot element with largest absolute value for maximal numerical stability.

BMC Systems Biology

In SympyCore [ 11] the leading row and column selection rule consists of choosing such a pivot element that minimizes the number of row operations for minimal computation time.

BMC Systems Biology

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

The GO (Ashburner et al., 2000 ) database (Fig. 1 d), where all GO term associated with a particular pivot element can be visually overlaid on the GO graph, which may point to functionally relevant mechanisms.

Bioinformatics

One of the advantage of using GJE is that it allows one to influence the pivot element selection rules so that a preferred flux basis for the system will be obtained.

BMC Systems Biology

The choice of the pivot element at each iteration is one of the most critical step in simplex type algorithms.

Journal of Systems and Software

Also note that for quick sort, it is relatively difficult to exercise and measure the path yielding the worst case behavior since it depends on the pivot element selection.

EURASIP Journal on Embedded Systems

Extension of the basis according to the columns in which no pivot element could be found during the Gaussian elimination in step 1).

Plosone

The column permutation matrix P is constructed during the GJE process while applying the leading row and column selection rules (pivot element selection).

BMC Systems Biology

In addition, SympyCore [ 11] minimizes the number of operations by its pivot element selection rule (see Methods) to reduce computational time and this has added benefit of reducing the chance of coefficient explosion.

BMC Systems Biology

Expert writing Tips

Best practice

When using "a pivot element" in technical writing, clearly define the element's role and impact within the specific context to avoid ambiguity.

Common error

Avoid using "a pivot element" in casual conversation or informal writing where simpler terms like "key aspect" or "important part" would be more appropriate.

Linguistic Context

The phrase "a pivot element" primarily functions as a noun phrase, typically acting as a subject, object, or complement within a sentence. Ludwig examples showcase its use in describing essential components or critical aspects, like in math or engineering.

Expression frequency: Uncommon

Frequent in

Science

50%

News & Media

20%

Academia

10%

Less common in

Encyclopedias

5%

Wiki

5%

Formal & Business

10%

Ludwig's WRAP-UP

In summary, "a pivot element" is a noun phrase used to denote a central or crucial component, primarily in technical and academic contexts. Ludwig AI validates its grammatical correctness, while its frequency is considered uncommon. Usage guidance advises clarity in definition and appropriateness in context. Related phrases include "a key element" and "a crucial component". Given its formal tone, it is best suited for technical writing where precision is essential. The phrase appears most often in scientific and news media publications.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a key element

Replaces "pivot" with "key", emphasizing importance rather than centrality.

a crucial component

Substitutes "element" with "component", focusing on the essential nature of the part.

a central element

Emphasizes the centrality of the element without necessarily implying decisiveness.

a fundamental aspect

Replaces "pivot element" with a broader term highlighting the foundational nature.

a turning point

Focuses on the element as a point of significant change or decision.

a critical factor

Highlights the importance of the element in determining an outcome.

a core principle

Emphasizes that the element serves as a basic belief, theory, or rule that has a major influence on the way in which something is done.

a linchpin

Implies that the element is essential for holding other parts together.

a cornerstone

Suggests the element is a basic, essential, indispensable part of the foundation of a building or idea.

a basis

Emphasizes that the element serves as the support, or foundation for an idea, argument, or process.

FAQs

How can I use "a pivot element" in a sentence?

You can use "a pivot element" to describe a central or crucial component in a process, system, or argument. For example: "In the quicksort algorithm, the choice of "a pivot element" is critical for efficiency".

What can I say instead of "a pivot element"?

You can use alternatives like "a key element", "a crucial component", or "a central element" depending on the context.

In what context is "a pivot element" most appropriately used?

The phrase "a pivot element" is most appropriate in technical, mathematical, or business related contexts where precision and specific terminology are important.

Is "a pivot element" formal or informal language?

The phrase "a pivot element" leans towards formal language due to its technical nature. Simpler terms might be preferable in informal settings.