Let $G=(V, E)$ be a simple graph. A subset $S\subseteq V$ is a dominating set of $G$, if for any vertex $u\in V-S$, there exists a vertex $v\in S$ such that $uv\in E$. The domination number, denoted by $\gamma (G)$, is the minimum cardinality of a dominating set. In this paper we will prove that if $G$ is a 5-regular graph, then $\gamma (G)\le {5\over 14}n$.
The basis number of a graph $G$ is defined by Schmeichel to be the least integer $h$ such that $G$ has an $h$-fold basis for its cycle space. MacLane showed that a graph is planar if and only if its basis number is $\le 2$. Schmeichel proved that the basis number of the complete graph $K_n$ is at most $3$. We generalize the result of Schmeichel by showing that the basis number of the $d$-th power of $K_n$ is at most $2d+1$.
The paper concerns mining data lacking the uniform structure. The
data are collected from a riumber of objects during repeated measurenients, all of which are tagged by a corresponding time. No attribute-valued machine learning algorithm can be applied directly on such data since the number of measurements is not fixed but it varies. The available data háve to be transformed and preprocessed in such a way that a uniform type of Information is obtained about all the considered objects. This can be achieved, e.g., by aggregation. But this process can introduce anachronistic variables, i.e., variables containing Information which cannot be available at the moment when a prediction is needed. The paper suggests and tests a method how to preprocess the considered type of data without falling into a trap of introducing anachronistic attributes. The method is illustrated on a čase study baaed on STULONG data.
Vibration of engineering structures results in time variable displacements functions. For realistic structures modes of vibration are determined by exciting frequency and the natural frequencies of the structure. Hence, the components of stress tensor are time function too. In the presented paper the general idea of method of cycle-counting based on the FFT analysis for engineering structures is discussed and analytically verified for the case vibrating beam excited by series pulse-type force with no damping. and V názvu článku je jazyková chyba/překlep - analitical - správně = analytical
This paper describes experimental work done on a prototype of in-pipe bristled minimachine, which locomotes in pipe with inner diameter under 40 mm. The principle of minimachine locomotion is based on difference friction force between bristle tip and pipe wall. The new bristle design and its mathematical and graphical model will be presented. and Obsahuje seznam literatury
The article introduces some activities on Child Neurology Clinic in
evaluation and utilisation of analyses of EEG recordings concerning diagnostic support and research works in epileptology, autism and other indications. This activity is also a base of our contribution in the project ME701 “Neuroinformatics Bases Creation and Knowledge Data Mining”. A short description of the main approaches, utilised sources, used methods and technical means is presented.
Mediální dialog ztrácí některé rysy přirozeného dialogu tváří v tvář, který leží v jeho půdorysu, a získává rysy další, neboť komunikace tu přestupuje přes hranice primární řečové situace. Televizní dialog je dialog veřejný, který se vede před diváckým publikem a pro toto publikum. Divák je nejen svědkem, ale pravým cílem, k němuž je dialog směrován. Stať analyzuje komunikační situaci, při níž jsou ve studiu přítomni redaktor a dva hosté, představitelé různých profesí a názorových proudů (ekonom a ekoložka) i různých stanovisek к určité otázce (globalizace). Redaktor se obrací s otázkami střídavě к oběma. aby je vzájemně konfrontoval a spor vyhrotil. Dotazovaní hosté se snaží nejen odpovídat na otázky redaktora (to je jejich základní role v interview), ale i zpochybňovat či přímo vyvracet odpovědi druhého z hostí (role často neméně důležitá). Hosté komunikují nejen s redaktorem, ale komunikují i mezi sebou navzájem, ať už skrytě, či zjevně, s cílem získat diváka na svou stranu. Stať analyzuje toto interview v souvislosti s otázkou typologie debat a debat založených na konfliktu zájmů a konfliktu hodnot.
We consider a chaotic system with a double-scroll attractor proposed by Elwakil, composing with a second-order system, which has low-dimensional multiple invariant subspaces and multi-level on-off intermittency. This type of composite system always includes a skew-product structure and some invariant subspaces, which are associated with different levels of laminar phase. In order for the level of laminar phase be adjustable, we adopt a nonlinear function with saturation characteristic to tune the range of a certain state variable so that the number and position of the laminar phase level can be arbitrarily controlled. We find that there exist many interesting statistical characteristics in this complex system, such as the probability distribution of the laminar lengths with -3/2 exponent in the power law and random jumping of the system trajectories.
The aim of this study was to evaluate cell diversity by considering
how Ca2+ signaling has been adapted in skeletal muscle cell
function. We characterized single C2C12 myoblasts through
intracellular Ca2+ signaling kinetics after exposure to specific
drugs and calcium blockers using fast fluorescence
microspectrofluorimetry followed by ATP effect analysis, which
confirmed the expression of functional purinergic adenosine and
P2 receptors. Further, we found that glutamate sensitivity of
C2C12 cells was mediated by ionotropic glutamate receptors; on
the other hand, most cells were responsive to cyclopiazonic acid,
which inhibits the sarco-endoplasmic reticulum Ca2+-ATPase
pump. These results suggest that C2C12 cells possess functional
L- and P/Q-type voltage-operated Ca2+ channels, ryanodine
receptors and functional sarcoplasmic reticulum Ca2+ stores
(typical for muscle cells), adenosine and P2 purinergic receptors,
as well as ionotropic glutamate receptors. The evaluation of
intracellular Ca2+ signaling is a promising approach towards
a better understanding and control of the physiopathological
properties of myogenic cells that could be used as a predictive
factor in the selection of optimal cells for scaffold recellularization
or for tissue engineered constructs used in stem cell therapy.