Bagrichthys majusculus, a new species of bagrid catfish from Indochina, is very similar to B. macracanthus and B. vaillantii, and has been previously identified as the former species. It differs from congeners in having a unique combination of the following characters: relatively large and broad mouth, well-developed oral dentition with homodont teeth, 10–13 gill rakers, moderately-long dorsal spine with 15–27 serrations, 9 pectoral-fin rays, inner and outer mandibular barbels with straight margins, pectoral-spine length 15.8–20.7 % SL (standard length), dorsal-spine length 24.4–32.5 % SL, length of adipose-fin base 46.0–50.7 % SL, adipose maximum height 9.9–10.5 % SL, depth of caudal peduncle 7.1–7.5 % SL, and head depth 14.0–16.1 % SL.
Let X be a complex L1-predual, non-separable in general. We investigate extendability of complex-valued bounded homogeneous Baire-α functions on the set ext B_{X*} of the extreme points of the dual unit ball B_{X*} to the whole unit ball B_{X*}. As a corollary we show that, given α \in [1, ω1), the intrinsic α-th Baire class of X can be identified with the space of bounded homogeneous Baire-α functions on the set ext B_{X*} when ext B_{X*} satisfies certain topological assumptions. The paper is intended to be a complex counterpart to the same authors’ paper: Baire classes of non-separable L1-preduals (2015). As such it generalizes former work of Lindenstrauss and Wulbert (1969), Jellett (1985), and ourselves (2014), (2015)., Pavel Ludvík, Jiří Spurný., and Obsahuje seznam literatury
A characterization of functions in the first Baire class in terms of their sets of discontinuity is given. More precisely, a function f : R → R is of the first Baire class if and only if for each ε > 0 there is a sequence of closed sets {Cn}∞ n=1 such that Df = ∞S n=1 Cn and ωf (Cn) < ε for each n where ωf (Cn) = sup{|f(x) − f(y)|: x, y ∈ Cn} and Df denotes the set of points of discontinuity of f. The proof of the main theorem is based on a recent ε-δ characterization of Baire class one functions as well as on a wellknown theorem due to Lebesgue. Some direct applications of the theorem are discussed in the paper.
Insights can be gained by analysing the feeding decisions of animals in terms of nutrient demands at a species or community level. Using carbohydrate and protein food baits, resource use and food preferences of Formica (Serviformica) lemani were determined at nine locations situated at different altitudes (1875 to 2400 m a.s.l.) in the alpine grassland belt above the tree line in Austria and northern Italy. F. lemani is the most common species of ant in this habitat. Sucrose baits placed around ant colonies were visited by significantly (3.9 times) more workers than protein baits. This indicates that sources of sugar (carbohydrate) are in short supply in the alpine zone, whereas availability of prey items appears to be less constraining. Overall, we recorded a decrease in the incidence of visits to baits from low (31.9% baits attracting ants at least once) to high altitudes (16.7%). Foraging ants never visited 51.5% of the baits exposed for periods of 75 min. This indicates that with increasing altitude competition for food among ant colonies becomes less intense in alpine grassland ant communities., Elia Guariento, Jan Martini, Konrad Fiedler., and Obsahuje bibliografii
Results on singular products of the distributions $x_{\pm }^{-p}$ and $x^{-p}$ for natural $p$ are derived, when the products are balanced so that their sum exists in the distribution space. These results follow the pattern of a known distributional product published by Jan Mikusiński in 1966. The results are obtained in the Colombeau algebra of generalized functions, which is the most relevant algebraic construction for tackling nonlinear problems of Schwartz distributions.
Let $P_k$ denote a path with $k$ edges and $łK_{n,n}$ denote the $ł$-fold complete bipartite graph with both parts of size $n$. In this paper, we obtain the necessary and sufficient conditions for $łK_{n,n}$ to have a balanced $P_k$-decomposition. We also obtain the directed version of this result.
XXIII International Congress of Historical Sciences, Poznaň 21. - 27. 8. 2022 and Bilancování historických knih. Několik poznámek k současným paměťovým válkám.
The paper deals with the modelling of balancing machine vibration and the identifícation of the stiffness and damping coefficients of oil-film bearings. The real balancing machine consists of a flexible rotor, oil-film bearings and bearing heads on spring elements. The mathematical model enables to calculate eigenvalues, critical revolutions and unbalance vibrations in dependence on the rotational speed. The identification method of the oil-film bearing stiffness and damping matrices is based on the minimization of differences between measured and calculated rotor critical speeds and bearing head displacements in balancing machines. The rotor is excited by attached known trial masses fixed in chosen balancing planes. and Obsahuje seznam literatury
This paper deals with the modelling and control of balanced wheeled autonomous mobile robot. For the MBS dynamics modelling software tool Matlab-SimMechanics is used. The model derived automatically from geometric-topological description of MBS is used for the control purposes (local linearization for state space control, testing of nonlinear system controlled by LQR) and also as a reference during the analytical model formulation for global feedback linearization. The dual accelerometer is used as a tilt sensor and the proposed method for sensory processing is described in this paper. The approach is based on iterative solution of nonlinear equation. Control using the state space (LQR) and the feedback linearization is compared. Also, the influence of sensor noises and delays implemented into the model are discussed. Finally, the solution is verified on real physical model controlled by means of hardware ni the loop (HIL). and Obsahuje seznam literatury