Edeltraud Ziegler, Ingeborg Hölzle: Hollenbach. Ein Dorf mit Geschichte und Geschichten, Mulfingen (Selbstverlag Gerhard Bartz) 2018. 477 + 55 S., zahlr. Abb.
 Willy Grün, Rudi Schmidt, Inge Neubert, Walter Blank: Elpersheimer Heimatbuch. 800 Jahre 1219–2019. Chronik, Weikersheim (Stadt Weikersheim, Ortsteil Elpersheim) 2019. 336 Christine Schmidt: Schönbühl, ein kleiner Weiler feiert Jubi...

Entanglement plays an important role in quantum communication, algorithms, and error correction. Schmidt coefficients are correlated to the eigenvalues of the reduced density matrix. These eigenvalues are used in von Neumann entropy to quantify the amount of the bipartite entanglement. In this paper, we map the Schmidt basis and the associated coefficients to quantum circuits to generate random...

We introduce a novel approach for structure activity relationship analysis based on the use of a special kernel. The kernel eÆciently performs Gram-Schmidt orthogonalisation in a kernel de ned feature space. We show that support vector machines in conjunction with Gram-Schmidt kernel, a recent method to extract features, can be adopted successfully to predict the inhibition of dihydrofolate red...

An additive category in which each object has a Krull-Remak-Schmidt decomposition—that is, finite direct sum decomposition consisting of objects with local endomorphism rings—is known as Krull-Schmidt category. A Hom-finite is an for there commutative unital ring k, such that Hom-set length k-module. The aim this note to provide proof Krull-Schmidt, if and only it split idempotents, indecomposa...