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11.
12.
Istvá n Juhá sz Saharon Shelah Lajos Soukup Zoltá n Szentmikló ssy 《Proceedings of the American Mathematical Society》2003,131(6):1907-1916
We introduce a general method of constructing locally compact scattered spaces from certain families of sets and then, with the help of this method, we prove that if , then there is such a space of height with only many isolated points. This implies that there is a locally compact scattered space of height with isolated points in ZFC, solving an old problem of the first author.
13.
We prove that if a space X is well ordered (αA), or linearly semi-stratifiable, or elastic then X is a D-space. 相似文献
14.
Collis JM Siegmann WL Collins MD Simpson HJ Soukup RJ 《The Journal of the Acoustical Society of America》2007,122(4):1987-1993
A tank experiment was carried out to investigate underwater sound propagation over an elastic bottom in flat and sloping configurations. The purpose of the experiment was to evaluate range-dependent propagation models with high-quality experimental data. The sea floor was modeled as an elastic medium by a polyvinyl chloride slab. The relatively high rigidity of the slab requires accounting for shear waves in this environment. Acoustic measurements were obtained along virtual arrays in the water column using a robotic apparatus. Elastic parabolic equation solutions are in excellent agreement with data. 相似文献
15.
Dániel T. Soukup 《Israel Journal of Mathematics》2017,221(1):235-273
We prove that given an edge colouring of an infinite complete graph with finitely many colours, one can partition the vertices of the graph into disjoint monochromatic paths of different colours. This answers a question of R. Rado from 1978. 相似文献
16.
Lajos Soukup 《Discrete Mathematics》2011,311(15):1585
The use of elementary submodels is a simple but powerful method to prove theorems, or to simplify proofs in infinite combinatorics. First we introduce all the necessary concepts of logic, then we prove classical theorems using elementary submodels. We also present a new proof of Nash-Williams’s theorem on cycle decomposition of graphs, and finally we improve a decomposition theorem of Laviolette concerning bond-faithful decompositions of graphs. 相似文献
17.
Preparation of macroscopic amount of C60 clusters (fullerenes) by the iodine laser is reported. 相似文献
18.
M. Tichý M. icha L. Brdos L. Soukup L. Jastrabík K. Kapoun J. Tou Z. Mazanec R. J. Soukup 《等离子体物理论文集》1994,34(6):765-772
We present results of the experimental study of the gas flow in the RF low-pressure supersonic-jet plasma-chemical reactor. The flow is investigated by using photography with subsequent digital picture processing. The results of the investigations yield valuable data for the physical model of the plasma-jet system. 相似文献
19.
We show in a direct way that a space is D if it is a finite union of subparacompact scattered spaces. This result cannot be extended to countable unions, since it is known that there is a regular space which is a countable union of paracompact scattered spaces and which is not D. Nevertheless, we show that every space which is the union of countably many regular Lindelöf C-scattered spaces has the D-property. Also, we prove that a space is D if it is a locally finite union of regular Lindelöf C-scattered spaces. 相似文献
20.
When a time harmonic electromagnetic wave impinges on a slaba certain portion of the wave creates heat within the slab throughdipolar and ohmic heating. The electrical and thermal propertiesof the material dictate the dynamical nature of the heatingprocess, as well as the steady-state temperature profile. Thematerial considered here is a slab of fluid. We consider thecase where the fluid is bounded by thin rigid layers of transparentmaterial. The steady-state heating profile governs the typesof convective motions that can occur and also affects the stabilitycharacteristics of temperature, pressure and velocity perturbationsintroduced in the slab. The main objective here is to examinesuch stability characteristics, initially in the linear regime.Both rigid-rigid and rigid-free configurations are considered. 相似文献