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specific-question What is the intended meaning of tag derivations. Shouldn't it be either removed or replaced by differential-calculus in the questions that are actually about derivatives? Such as: Partial derivatives of spherical harmonics and Derivative with multiple summation operators.
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Is there any closed form formula (or some procedure) to find all $n$-th partial derivatives of a spherical harmonic?
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I have a defined utility function as Eq.(1), and I am seeking the minimized utility subjects to some constraints. The notation used is as following: \linebreak $V$ is the set of nodes, $v_i\in V$; $O$ is content set within each node, $o_k\in O$; $o_k$ represents the $k^{th}$ item; $w$ is demand ...
In mathematics, a derivation is a function on an algebra which generalizes certain features of the derivative operator. Specifically, given an algebra A over a ring or a field K, a K-derivation is a K-linear map D : A → A that satisfies Leibniz's law:
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{\displaystyle D(ab)=D(a)b+aD(b).}
More generally, if M is an A-bimodule, a K-linear map D : A → M that satisfies the Leibniz law is also...
The question Semantics of derivations as derivatives mentions derivatives, but in that case the derivations tag seem warranted.
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My understanding of how derivations on commutative rings are like derivatives is that a derivation on $R$ is differentiation with respect to a vector field on $\text{Spec}(R)$. But derivations are supposed to be thought of as like derivatives in a wider context than commutative rings, and I don't...
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