Here we address a Waring type problem for partially symmetric tensors, extending previous work by Massimiliano Mella in the totally symmetric case of forms. In particular, we provide an explicit answer in lower dimensional cases. A.M.S. Math. Subject Classification (2000): 14N05.

In this paper, we consider the well-known constant-batch lot-sizing problem, which we refer to as the single module capacitated lot-sizing (SMLS) problem, and multi-module capacitated lot-sizing (MMLS) problem. We provide sufficient conditions under which the (k, l, S, I) inequalities of Pochet and Wolsey (Math of OR 18: 767-785, 1993), the mixed (k, l, S, I) inequalities, derived using mixing ...

We present two geometric proofs for KochenSpecker’s theorem [S. Kochen, E. P. Specker: The problem of hidden variables in quantum mechanics, J. Math. Mech. 17 (1967), 5987]. A quite similar argument has been used by Cooke, Keane, Moran [R. Cooke, M. Keane, W. Moran: An elementary proof of Gleason’s theorem, Math. Proc. Camb. Phil. Soc. 98 (1985), 117128], and by Kalmbach in her book to derive G...

The problem of classifying, up to isometry, the orientable spherical and hyperbolic 3-manifolds that arise by identifying the faces of a Platonic solid is formulated in the language of Coxeter groups. This allows us to complete the classification begun by Best [Canad. J. Math. 23 (1971) 451], Lorimer [Pacific J. Math. 156 (1992) 329], Richardson and Rubinstein [Hyperbolic manifolds from a regul...

Axel Thue published four papers directly relating to the theory of words and languages: • two on patterns in infinite strings in 1906 and 1912 1,2 1 Axel Thue. Über unendliche Zeichenreihen. Christiana Videnskabs-Selskabs Skrifter, I. Math.-naturv. Klasse, 7, 1906 2 Axel Thue. Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen. Christiana Videnskabs-Selskabs Skrifter, I. Math.-nat...

In previous work (Z. Angew. Math. Phys. 68(2), 2017), Apalara considered a onedimensional thermoelastic laminated beam under Cattaneo’s law of heat conduction and proved the exponential and polynomial decay results depend on the stability number χτ . In this paper, we continue to study the same system and show that the solution of the concerned system lacks of exponential decay result in the ca...

Computer-assisted instruction systems have been broadly applied to help students solve math word problem. The majority of such systems, which are based on an instructor-initiating instruction strategy, provide pre-designed problems for the learners. When learners are asked to solve a word problem, the system will instruct the learners what to do. However, systems employing an instructor-initiat...

In this paper, we introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of strictly pseudo-contractive mappings in a real Hilbert space which is also a solution of variational inequality problem related to quadratic minimization problems. Our results extend ones of Yao et al. [Math. and Comput. Modell. 52(9-10):1697-1705, 2010], Gu et al. [J. App...