We equivalently change the form of equation to make it easier to be understood in this context. ϵ-differential privacy is closely related to γ-amplification. Suppose that a γ-amplifying sanitization also produces an output y when input x is absent by randomly generate x that ranges over ...
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General The general or tetradecal is equal to \(\{10,10,10,10\} = \{10,2,1,1,2\} = \{10,4 (1) 2\}\) in BEAF[1] or 4 & 10, using the array of operator. The term was coined by Jonathan Bowers. Approximations Notation Approximation Bird's array notation \(\{10,10,...
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polynomial equation representation - SmPolynomial non-axis aligned bounding box - SmPseudoBox one-dimensional interval - SmExtent1d two-dimensional bounding box - SmExtent2d three-dimensional bounding box - SmExtent3d n-dimensional bounding box - SmExtentNd ...
Here, the summation runs over all neighbors of atom i within a certain cutoff distance, rij represents the distance between atoms i and j, θijk is the angle for the triplet (ijk) with i being the central atom, and Pl(x) is the Legendre polynomial of order l. The functions gn(rij...
2 Finite polynomial cohomology for general varieties 2.1 Summary of the theory of Nekovář–Nizioł We briefly summarize some of the main results of the paper [10]. Let Var(K) be the category of varieties over K (i.e. reduced separated K-schemes of finite type). Theorem 2.1.1 Ther...
This chapter describes the construction of the plane indicator diagram for an entire function f of finite order ρ > 0 and with indicator h of variable sign. In particular, it will be shown that in the case of a finite indicator h of general form the locally convex arc Γ h (see Def....
Galois established that a polynomial equation is “solvable by radicals” if and only if its Galois group is a finite solvable group, extending the result of Abel mentioned in Section I. Sylow proved that a finite group of prime-power cardinality is necessarily a solvable group. One of the ...