The phrase "associated derivations" is correct and usable in written English.
It can be used in contexts related to mathematics, linguistics, or any field where derivations or related concepts are discussed.
Example: "In our research, we examined the associated derivations of the primary theorem to better understand its implications."
Alternatives: "related derivations" or "connected derivations".
The outputs from this step are the highest performing predictive model and the associated derivation dataset and methods.
Secondly, ordinal numbers below ε0 are associated to derivations.
In this section, we analyze a set of linear connections and associated covariant derivations being important for modelling of mechanics and gravitational field interactions on Lie N-algebroids provided with anholonomic frame structure and generic off-diagonal metrics.
Then (delta_{1}) is a linear generalized left Jordan derivation associated with a linear left Jordan derivation (delta_{0}).
We have also proved the superstability of generalized derivations associated to the linear functional equation, where.
In Section 3, we investigate the superstability of generalized (ring) derivations associated to the linear functional equation (1.9).
We study the relationships between the ordinal indices of set derivations associated to several measures of non-compactness.
We prove the generalized Hyers-Ulam stability of homomorphisms and generalized derivations associated to the following functional equation on Banach algebras.
In this paper, we prove the generalized Hyers-Ulam stability of random homomorphisms and random derivations associated with the generalized additive functional equation (1.3) in random Banach algebras.
In this article, we investigate the generalized Hyers-Ulam-Rassias stability, Isac-Rassias type stability and superstability of ternary homomorphisms and ternary derivations associated to the generalized m- variables Cauchy-Jensen functional equation.
