The common boundary: Interfacing student affairs with instruction‐a view from the academic side of the hall

1975 ◽  
Vol 52 (3) ◽  
pp. 217-221
Author(s):  
George R. Conger
2015 ◽  
Vol 47 (3) ◽  
pp. 159-174
Author(s):  
Maciej Zych

Abstract The aim of this paper is the analysis of the names used on cartographic publications in Poland and the Czech Republic for transboundary geographical objects lying on the common boundary. After the analysis of the Czech and Polish topographic maps that are available on the national geoportals, maps of the divisions into natural regions, and toponymic databases (Polish the National Register of Geographical Names, and Czech Geonames – the Database of geographic names of the Czech Republic) it was established that 360 named geographic objects lie on this boundary. This number includes: 123 hydronyms (names of rivers and other streams), 224 oronyms (139 names of summits, 22 names of mountain passes, 35 names of mountain ranges and ridges, 15 names of highlands, plateaus and uplands, 7 names of mountain basins, valleys and depressions, 3 names of lowlands, and 3 names of rocks), 9 names of forests, 1 name of mountain meadow (alp), and 3 names of tracks. 212 of these objects (59%) have names in both languages – Polish and Czech, however, in 99 cases (47% of objects that have name in both Polish and Czech languages) the Polish and Czech toponyms entirely do not correspond to each other. From the remaining objects 67 (18%) have only the Czech name, and 81 (23%) only the Polish name. In some natural regions, the limits of their ranges set by the Czech and Polish geographers vary widely, for example a single region on one side of the boundary corresponds to two or more regions on other side of the boundary. In other cases illustrations of incorrectness are more sophisticated, like the river that has different course according to the Czech or Polish maps (stream regarded as a main watercourse in one country, which has its own name, in another country is considered as a tributary one with a different name). In the summary, it should be stated that in the large part of the Polish and Czech names of the geographical objects lying on the common boundary were drawn regardless of the names used in the neighboring country.


Author(s):  
J. Pegna ◽  
F.-E. Wolter

Abstract Computer Aided Geometric Design of surfaces sometimes presents problems that were not envisioned by mathematicians in differential geometry. This paper presents mathematical results that pertain to the design of second order smooth blending surfaces. Second order smoothness normally requires that normal curvatures agree along all tangent directions at all points of the common boundary of two patches, called the linkage curve. The Linkage Curve Theorem proved here shows that, for the blend to be second order smooth when it is already first order smooth, it is sufficient that normal curvatures agree in one direction other than the tangent to a first order continuous linkage curve. This result is significant for it substantiates earlier works in computer aided geometric design. It also offers simple practical means of generating second order blends for it reduces the dimensionality of the problem to that of curve fairing, and is well adapted to a formulation of the blend surface using sweeps. From a theoretical viewpoint, it is remarkable that one can generate second order smooth blends with the assumption that the linkage curve is only first order smooth. This property may be helpful to the designer since linkage curves can be constructed from low order piecewise continuous curves.


1998 ◽  
Vol 08 (01) ◽  
pp. 139-156 ◽  
Author(s):  
G. P. PANASENKO

A new method of partial decomposition of a domain is proposed for partial differential equations, depending on a small parameter. It is based on the information about the structure of the asymptotic solution in different parts of the domain. The principal idea of the method is to extract the subdomain of singular behavior of the solution and to simplify the problem in the subdomain of regular behavior of the solution. The special interface conditions are imposed on the common boundary of these partially decomposed subdomains. If, for example, the domain depends on the small parameter and some parts of the domain change their dimension after the passage to the limit, then the proposed method reduces the initial problem to the system of equations posed in the domains of different dimensions with the special interface conditions.


1986 ◽  
Vol 104 (3-4) ◽  
pp. 261-277 ◽  
Author(s):  
F.-O. Speck

SynopsisVarious physical problems in diffraction theory lead us to study modifications of the Sommerfeld half-plane problem governed by two proper elliptic partial differential equations in complementary ℝ3 half-spaces Ω± and we allow different boundary or transmission conditions on two half-planes, which together form the common boundary of Ω±.


2008 ◽  
pp. 37-48 ◽  
Author(s):  
Zoltan Balaton ◽  
Zoltan Farkas ◽  
Gabor Gombas ◽  
Peter Kacsuk ◽  
Robert Lovas ◽  
...  

1960 ◽  
Vol 82 (2) ◽  
pp. 96-102 ◽  
Author(s):  
G. G. Fintak

Although the St. Lawrence River has long been recognized as a great economical source of water power, its development has been delayed until now for many reasons. The major obstacle has been the 125 miles of river which forms the common boundary between the United States and Canada. In this distance lies the International Rapids section of the St. Lawrence River, which necessitated a joint undertaking by both countries if power was to be developed. The St. Lawrence Power Project is the fulfillment of this joint undertaking. This paper describes the control structure required to harness the river and the design features of the hydraulic turbines which convert the power of this mighty river to useful, dependable electrical energy.


2021 ◽  
Vol 2021 (2) ◽  
pp. 63-71
Author(s):  
G. S. Oleynik ◽  
◽  
A. V. Kotko ◽  

Results of an investigation by scanning electron microscopy methods of the microstructure of self-reinforced aluminum nitride obtained on the basis of aluminum nitride powder and containing 3 mass.% oxygen by plasma-chemical synthesis in the temperature range 1700-2000 °C are presented. Initial aluminum nitride was represented by the wurtzite (2H) phase. Samples were obtained by free sintering in a nitrogen atmosphere. It was established that, during sintering of AlN in the indicated temperature range, three microstructural types of the material and six types of interfaces (three types of intergranular and three types of intragranular ones) formed. The features of the microstructure of the materials are fully determined by the development of intergranular crystal-oriented polytype transitions of 2H AlNmultilayer polytypes (MP) in sintering. The sequence of successive structural transformations that determine the development of polytype transitions was established. 1. Formation of initial 2H AlN grains of the solid solution 2H AlN-O. The substitution of nitrogen by oxygen takes place. 2. The development of isomorphous delamination of the solid solution in every grain with the precipitation of an interlayer enriched in oxygen. 3. In interlayers, polytypes consisting of a series of polytypes with different number of layers (MP) form. Such an interlayer has developed base surfaces and propagates from one boundary to another in the grain, which determines the formation of a special structural state of fragments of boundaries, that border interlayers in the direction <hk0>. 4. The high mobility of the indicated fragments of boundaries determines their break-off from the common boundary and formation of a grain nucleus of anisometric (plate-like) shape. This process begins already at a sintering temperature Tsint. = 1800 °C, and, at Tsint. = 2000 °C, polycrystals practically entirely consist of grains of plate-like shape. In this case, with increase in the sintering temperature, the aspect ratio (the length-to-width ratio) of such grains rises. Keywords: aluminum nitride, polytype transformations, grains, microstructure, boundaries, self-reinforcement.


Author(s):  
Narjis A. Dawood ◽  
Suaad G. Gasim

Jordan  curve  theorem  is  one  of  the  classical  theorems  of  mathematics, it states  the  following :  If    is a graph of  a  simple  closed curve  in  the complex plane the complement  of   is the union of  two regions,  being the common  boundary of the two regions. One of  the region   is  bounded and the other is unbounded. We introduced in this paper one of Jordan's theorem generalizations. A new type of space is discussed with some properties and new examples. This new space called Contractible -space.


Sign in / Sign up

Export Citation Format

Share Document