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Discover LudwigThe phrase "adjoint relation" is correct and usable in written English.
It is typically used in mathematical contexts, particularly in linear algebra and functional analysis, to describe a specific relationship between linear operators or functions.
Example: "In the context of Hilbert spaces, the adjoint relation between operators is crucial for understanding their properties."
Alternatives: "adjoint correspondence" or "adjoint connection".
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Concept profile-based relation.
The adjoint relations hold globally, and at the element level with the inclusion of a natural discrete element boundary flux term.
The results are applied to the Q-function for S and H and the Q-function for S and H∞, where H is a self-adjoint operator in a Pontryagin space with a cyclic element w, H∞ is the self-adjoint relation obtained from H and w via a rank one perturbation at infinite coupling, and S is the symmetric operator given by S=H∩H∞.
We may find that the sequence a satisfies an adjoint linear recursive relation, as shown in the following theorem.
If A and B are self-adjoint operators, the order relation (Ageq B) means, as usual, that (A-B) is a positive operator.
It is shown that the feedforward action has relation to the adjoint system of the closed nominal system.
Also, they involve the group adjoint representation which establishes an equivalent relation among all conjugate sub-algebra elements.
More generally, Lawvere showed how syntax and semantics are related by adjoint functors.
If for all triplets of input variables { x i, x j, x k } the rank-root relations are known, then the adjoint tree structure of S can be directly reengineered from this set of relations.
The relations derived contain eigenvalue, eigenvector and adjoint eigenvector sensitivities.
Note that the equivalent backward delayed system is described by a time-delayed BSDE, so the adjoint equation of the time-delayed BSDE via duality relation is an anticipated SDE.
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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