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Justyna Jupowicz-Kozak

CEO of Professional Science Editing for Scientists @ prosciediting.com

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the initial pair

Grammar usage guide and real-world examples

USAGE SUMMARY

The phrase "the initial pair" is correct and usable in written English.
It can be used when referring to the first set of two items or elements in a sequence or comparison. Example: "In our analysis, we will focus on the initial pair of data points to establish a baseline for our study."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

9 human-written examples

We can handle this scenario by assuming that the distance between the initial pair of bits is zero.

Three weeks after the initial pair went on sale, co-founder, Neil Blumenthal says Warby Parker hit its sales targets for the entire year and adds "we sold out of our top 15 styles in four weeks".

News & Media

TechCrunch

Suppose that ((Theta ^{ast }(cdot),bar Theta ^{ast }(cdot))) is an optimal control of Problem (O) for the initial pair (t,ξ) and let (X ∗,Y ∗ be the corresponding optimal state process.

As discussed by Snavely et al. (2007), the initial pair should have a large number of matched feature points, but also have a long separation distance between the cameras to avoid converging in a local minimum during the optimization process.

(ii) It is clear from Proposition 2.4 (iii) that the outcome control (u^(cdot)equiv Theta ^(cdot X^(cdot)+bar {Theta }^(cdot)mathbb {E}[X^(cdot)]+v^(cdot)) of an optimal closed-loop strategy ((Theta ^(cdot),bar {Theta }^(cdot),v^(cdot))) is an optimal open-loop control of Problem (MF-LQ) for the initial pair (t,X ∗(t)).

Any (u^(cdot)in {mathcal {U}}[t,T]) satisfying (1.3) is called an optimal open-loop control of Problem (MF-LQ) for the initial pair (t,ξ), and the corresponding X ∗≡X(· ;t,ξ,u ∗ is called an optimal open-loop state process. The function V is called the value function of Problem (MF-LQ).

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Human-verified similar examples from authoritative sources

Similar Expressions

51 human-written examples

The manual selection technique consists in selecting the initial pairs in the two images manually.

The initial pairs or feature points in the two images are selected in such a way to ensure a matching between image features using correlation.

Unlike rapidly activated monoaminergic activity that occurs following the initial pairing, most brain areas sampled were not affected when animals were re-introduced, regardless of visual signal reversal or length of separation between interactions.

Once the MS are paired using the "initial pairing" algorithm, BS shall perform bandwidth allocation as per Method 1 or Method 2 for the next "p" frames (The value of "p" is determined experimentally).

Once set up, wireless CarPlay could trigger with compatible vehicles whenever a driver enters their car and starts up the engine, which would make it far more convenient than it is even now, since iPhone owners likely won't even have to take their phone out of their pockets to use it once the initial pairing is completely.

News & Media

TechCrunch
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Expert writing Tips

Best practice

When using "the initial pair", ensure the context clearly defines what constitutes a 'pair' within your subject matter. For example, in data analysis, it might refer to two data points; in genetics, it might refer to a pair of alleles.

Common error

Avoid using "the initial pair" when discussing multiple sets of pairs where the 'initial' aspect isn't distinctly relevant or clear, otherwise, it will be confusing for the reader. In such situations, be more explicit with identifiers or labels for each pair.

Antonio Rotolo, PhD - Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

80%

Authority and reliability

4.3/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "the initial pair" functions as a determiner phrase, specifically identifying and limiting a noun. As confirmed by Ludwig, the phrase is grammatically sound and usable. It signifies the very first set of two entities under consideration.

Expression frequency: Uncommon

Frequent in

Science

80%

News & Media

20%

Formal & Business

0%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "the initial pair" is a grammatically sound and relatively common phrase, as Ludwig AI confirms, used to denote the first two items in a sequence or comparison. Its usage spans from scientific research to news reporting, indicating its versatility across different registers. While the phrase is generally clear, ensure that the context provides a distinct definition to avoid ambiguity. Alternatives include "the first couple" or "the starting duo", but "the initial pair" effectively sets a starting point or baseline. Most of the examples show its frequent use in the scientific domain.

FAQs

How can I use "the initial pair" in a sentence?

"The initial pair" is used to refer to the first two items or elements being considered out of a larger set. For example: "The experiment focused on the initial pair of variables to establish a baseline."

What's a good alternative to "the initial pair"?

Depending on the context, you could use "the first couple", "the starting duo", or "the original twosome".

Is it ever wrong to say "the initial pair"?

While grammatically correct, "the initial pair" may be confusing if there are multiple 'initial' stages or pairings in your discussion. Ensure context clarifies which pair is being referenced.

What's the difference between "the initial pair" and "the first pair"?

While largely interchangeable, "the initial pair" emphasizes the starting point more strongly, while "the first pair" simply denotes sequence. The choice depends on the specific nuance you wish to convey.

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Most frequent sentences: