We adopt the following rules: i, j, k, n denote natural numbers, a, b, c, x denote sets, and r denotes a real number. The following four propositions are true: (1) If 1 < i, then 0 < i − 1. (2) If 1 ¬ i, then i − 1 < i. (3) 1 is odd. (4) Let given n, f be a finite sequence of elements of E T , and given i. If 1 ¬ i and i + 1 ¬ len f, then fi ∈ rng f and fi+1 ∈ rng f. This work has been partiall...

In this paper we introduce the notion of general position. We also show some auxiliary theorems for proving Jordan curve theorem. The following main theorems are proved: 1. End points of a polygon are in the same component of a complement of another polygon if number of common points of these polygons is even; 2. Two points of polygon L are in the same component of a complement of polygon M if ...

The board of the European Association for Dental Public Health (EADPH) is very grateful that two of the EADPH special interest groups were able to produce position papers in their fields within a relatively short time. Their first article, “Methodological issues in epidemiological studies of periodontitis – how can it be improved,” was prepared by Roos Leroy, Ken Eaton and Amir Savage following...

We developed a glasses-free 3D stereoscopic display using an LCD display panel and a special grating film for stereoscopic viewing. The display screen is divided in half in order that left and right regions provide the stereoscopic images for left and right eyes. Because both stereoscopic images are not in the same position, it is difficult for the observer to view the 3D image by the stereovie...

This article examines the Socialist Republic of Vietnam's position on Russia's Special Military Operation. The study analyses dynamics Hanoi's official statements and identifies factors influencing its position, as well Vietnamese society. draws a variety sources, including Russian, Western media sources. author points out need to consider basic principles Vietnam foreign policy in order better...

Because acetabulum is a part of hip joint, its fracture is important. At first, it is a weight bearing joint and it is involved in approximately all movements of body. In daily living, it must tolerate about 5-7 times body weight. For example, in the position of one leg stance about 3.5 times body weight is transmitted to hip joint. Even in sitting position and also in supine position and strai...