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Alina Cojocaru and Alejandro Virelles are the principal pair, and while they dance beautifully together, his airily expansive style and her wistful femininity never quite mesh.
The principal pair of opposites is the limit and the unlimited; the limit (or limiting), represented by the odd (3,5,7,…), is an active force effecting order, harmony, and "cosmos" in the unlimited, represented by the even.
And a word for the dynamic principal pair (Mara Galeazzi and José Martin) in the Neapolitan divertissements of Act III, a long, pure-dance section I had frequently heard criticized but found enchanting in its odd juxtaposition of the commedia dell'arte aesthetic and Mr. Henze's jazz-infused rhythms.
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The dancers in Ian Falconer's striking costumes — black or red suits of cards on white tutus and bodytights — create lovely geometries, either alone or behind the coquettish duos for the principal pairs.
A new principal pairing was transformative: the ravishing Miranda Weese was even more vivid than usual opposite Seth Orza, a debonair partner with dashing good looks and an ever-growing virtuosity.
Like "Die Zauberflote," "Der Stein" features a second, comic couple as foil to the principal, "heroic" pair.
According to the principal of paired-end sequencing, one of the paired-end reads should be aligned to the forward sequence, while the other is aligned to the reverse sequence.
Here ( λ 1, φ 1 ) is the principal eigen-pair of −Δ under a homogeneous Dirichlet boundary condition such that φ 1 ( x ) > 0, x ∈ Ω, and ∥ φ 1 ∥ ∞ = max x ∈ Ω ¯ | φ 1 ( x ) | = 1.
Proof Let U = ( u 1, …, u n ) be a positive solution of (1.1), and let ( μ 1, u ∗ ) be the corresponding principal eigen-pair of (2.6) such that ξ i ∗ > 0 in Ω for any 1 ≤ i ≤ n.
Similar to the proof above, let ( μ 1, u ) be the corresponding principal eigen-pair of (2.1) such that ξ i > 0 in Ω for any i = 1, …, n.
To ratchet up the pathos and irony, each of these principals is paired with their younger self.
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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