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The phrase "and the second kind" is correct and usable in written English.
It can be used when referring to a classification or categorization that includes multiple types or kinds, typically following a mention of the first kind.
Example: "There are two kinds of fruits: the first kind is citrus, and the second kind is berries."
Alternatives: "and the other type" or "and the next category".
Exact(29)
Two wave types are considered, namely, compressional wave of the first kind, and the second kind.
The first type of heat sink has the PCM distributed uniformly in a porous TCE matrix, and the second kind has PCM with fins made of TCE material.
The first kind is similarities between candidates and the target in the first frame, and the second kind is between candidates and tracking results in the last frame.
The mode shape function for the two tapering-shaped sections of the first and the second kind of Bessel functions is utilized.
A first kind using single domain YBCO bars of 3 cm as active element and the second kind using short buttons of 3 mm in length cut out from the bars.
The fried version was a dinner-plate portion of tiny feathery, grease-free rings and the second kind was soft and seductively seasoned with olive oil, parsley, salt and pepper.
Similar(31)
Recently, Kim and Seo considered the partially degenerate Bernoulli numbers and polynomials of the first kind and of the second kind and investigated some properties of these numbers and polynomials.
In the last chapter we define Haagerup-like tensor products of the first kind and of the second kind and we use them to study functions of noncommuting self-adjoint operators under perturbation.
where and are the second kind Stirling numbers and -Bernstein polynomials, respectively.
In this paper, we introduce new q-analogs of the Changhee numbers and polynomials of the first kind and of the second kind.
We define new tensor products and call them Haagerup-like tensor products of the first kind and of the second kind.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com