– (p, q) (p > 2, q = 2). These infinite tiling series of cubes are the special cases of the classical Lambert-cube tilings. The dihedral angles of the Lambert-cube are πp (p > 2) at the 3 skew edges and π2 at the other edges. Their metric realization in the hyperbolic space H 3 is well known. A simple proof was described by E. Molnár in [10]. The volume of this Lambert-cube type was determined ...

An infinite sequence of 0’s and 1’s evolves by flipping each 1 to a 0 exponentially at rate one. When a 1 flips, all bits to its right also flip. Starting from any configuration with finitely many 1’s to the left of the origin, we show that the leftmost 1 moves right with bounded speed. Upper and lower bounds are given on the speed. A consequence is that a lower bound for the run time of the ra...

This paper studies the boundary behavior of some interior point algorithms for linear programming. The algorithms considered are Karmarkar's projective rescaling algorithm, the linear rescaling algorithm which was proposed as a variation on Karmarkar's algorithm, and the logarithmic barrier technique. The study includes both the continuous trajectories of the vector fields induced by these algo...

Kitahara and Mizuno (2010) get two upper bounds for the number of different basic feasible solutions generated by Dantzig’s simplex method. The size of the bounds highly depends on the ratio between the maximum and minimum values of all the positive elements of basic feasible solutions. In this paper, we show some relations between the ratio and the number of iterations by using an example of L...

2014 We describe here a systematic error that appears in Michelson’s type lambdameters when the measured laser is tuned during the measurement. Revue Phys. Appl. 21 (1986) 463-465 AOÛT 1986, Classification Physics Abstracts 07 . 60L 07 . 65 Tome 21 No 8 AOUT 1986 We want to describe here a systematic error of a certain type of laser lambdameters which appears when the wavelength of the laser to...

these two girls' productions, particularly the various types of distortion of the naturalistic appearance of objects, are also employed by the most original and successful artists, for instance, Paul Klee and Picasso. She says we do not know whether these artists achieved this mode of expression through subjective experimentation, or by being influenced by seeing the art of mentally disturbed p...

In 1957, Hirsch conjectured that every d−polytopes with n facets has edge-diameter at most n − d. Recently Holt and Klee constructed polytopes which meet this bound for a number of (d, n) pairs with d ≤ 13 and for all pairs (14, n). The main purpose of this paper is to present linear Hirsch bound ⌊ 2 ⌋+ d− 2 for all pairs (d, n) and to review mathematical ideas behind simplex methods, investiga...

In diesem Artikel wird untersucht, wie man durch Einsatz der Applikation Movin ’ Klee das Lernen beim Spielen mit Augmented Reality in einer Kunstausstellung verwirklichen kann; wie man mit neuer Technik museale Inhalte auf originelle Art und Weise zugänglich machen kann und ob die Verknüpfung von Augmented Realtiy und Smartphone tatsächlich das Museumund besonders das LernErgebnis des Besucher...

For linear optimization (LO) problems, we consider a curvature integral first introduced by Sonnevend et al. (1991). Our main result states that in order to establish an upper bound for the total Sonnevend curvature of the central path, it is sufficient to consider only the case when n = 2m. This also implies that the worst cases of LO problems for path-following algorithms can be reconstructed...