Let Ln = K[x1±1,..., xn±1] be a Laurent polynomial algebra over a field K of characteristic zero, Wn:= DerK(Ln) the Lie algebra of K-derivations of the algebra Ln, the so-called Witt Lie algebra, and let Vir be the Virasoro Lie algebra which is a 1-dimensional central extension of the Witt Lie algebra. The Lie algebras Wn and Vir are infinite dimen- sional Lie algebras. We prove that the following isomorphisms of the groups of Lie algebra automorphisms hold: AutLie(Vir) \simeq AutLie(W1) \simeq {±1} \simeq K*, and give a short proof that AutLie(Wn) \simeq AutK-alg(Ln) \simeq GLn(Z) \ltimes K*n., Vladimir V. Bavula., and Obsahuje seznam literatury
In the paper we obtain that, under some condition, the Rademacher-Dirichlet series or the Steinhaus-Dirichlet series on the whole plane and on the horizontal zone almost surely have the same growth.
This paper explores how women’s roles and participation in resistance to Czechoslovak communism from 1968 to the Velvet Revolution serve as a base for Czech feminist thought. By examining three generations of participants through a gendered, Beauvoirian lens, the emergence of feminism can be easily charted through changing perceived gender roles and increased attention to gender issues. After the events of the Prague Spring, women from different groups of the Czechoslovak underground risked their own safety to exercise free speech and expression. Women’s struggles for greater liberties were framed by traditional gender barriers, supposed communist equality, and Western influence. To understand the experiences of female dissidents as a base for Czech feminist thought, one must examine the nature and progression of various underground communities and women’s roles within them. Since 1968, an increased emphasis on women’s freedoms and liberties has helped create a unique, local sense of femininity and feminism., Megan R. Martin., and Obsahuje bibliografii
We define Knopp-Kojima maximum modulus and the Knopp-Kojima maximum term of Dirichlet series on the right half plane by the method of Knopp-Kojima, and discuss the relation between them. Then we discuss the relation between the Knopp-Kojima coefficients of Dirichlet series and its Knopp-Kojima order defined by Knopp-Kojima maximum modulus. Finally, using the above results, we obtain a relation between the coefficients of the Dirichlet series and its Ritt order. This improves one of Yu Jia-Rong's results, published in Acta Mathematica Sinica 21 (1978), 97–118. We also give two examples to show that the condition under which the main result holds can not be weakened.
The subsocial bug Elasmucha dorsalis lays egg masses on the underside of the leaves of female plants of Aruncus dioicus. Each bug straddles her eggs and shields her offspring with her body, until they moult to the 2nd instar. Females that: attended aggregations of 2nd and later instar nymphs feeding on fruit of inflorescences often settled close to the basal part of or just below the aggregation, and faced towards the base of the inflorescence. The nymphal aggregations often Seemed to be too large for females to guard effectively. The position and orientation of females attending 2nd or later instar nymphs probably enabled them to detect predators walking towards the nymphs.
It is well known that the training level of a muscle belongs to the parameters that affect the H-reflex response amplitude. The aim of this study was to investigate the effects of training type on H- and T-reflex response parameters. For this purpose, 20 long-distance athletes (group I, test group), 18 short-distance athletes (group II, test group) and 20 non-trained subjects (group III, control group) were involved in this study in which the H- and T-reflex amplitude and latency values were measured. The H-reflex amplitude and latency values found in groups I, II and III were 3.64±0.28 mV and 26.88±1.45 ms, 3.17±0.26 mV and 26.19±1.89 ms, and 6.07±0.34 mV and 26.77±1.32 ms, respectively. The T-reflex amplitude and latency values of the groups I, II and III were 3.30±0.18 mV and 32.01±1.02 ms, 3.11±0.20 mV and 31.47±1.16 ms, 4.24±0.21 mV and 31.47±1.16 ms, respectively. There was no statistically significant difference between the groups with respect to latencies of H- and T-reflexes (p>0.05). In both test groups, the amplitudes of the H-reflex and T-reflex were significantly smaller than the control group (p<0.05). The results of this study suggest that training of muscles affect the H- and T-reflex response parameters., R. Ozmerdivenli, S. Bulut, T. Urat, A. Ayar., and Obsahuje bibliografii
Developmental dysplasia and dislocation of the hip (DDH) is the
most common type of lower limb deformity in pediatric
orthopedics. The mechanism of the signaling pathway has been
studied in depth. However, the role of epigenetic regulation, such
as lncRNA, is still far from clear. In this study, we successfully
established a rat model of DDH and demonstrated that H19 was
down-regulated in the development of DDH. Further, we
constructed H19 knockdown (KD) and overexpression
chondrocytes. H19 KD suppressed the proliferation of normal
chondrocytes, while overexpression of H19 promoted cell
proliferation of DDH chondrocytes. Finally, we revealed that H19
bound to let-7 and inhibited its function, acting as a competing
endogenous RNA. Down-regulation of H19 is closely associated
with DDH progression and H19 is an important epigenetic factor
that regulates the proliferation of chondrocytes. H19 may thus be
a potential clinical marker for DDH diagnosis and treatment.
Recent research shows that furnaces characteristically used in the ‘Catalan method’, a direct system of obtaining iron, are much older than they were thought to be. Archaeological evidence obtained in recent years indicates that the same model of furnace, although with smaller dimensions, was part of the ironmaking culture of the pre-water-powered phase, when work was done by manpower. This phase has been dated to between the 9th and 14th centuries and relates to installations known as haizeolas. They have been recognized in the Basque territories of Biscay, Gipuzkoa and Alava, in a geographical area on the western edge of the Pyrenees. and Nový výzkum ukazuje, že pece používané při „katalánské metodě“, přímém způsobu získávání železa, jsou mnohem starší, než se předpokládalo. Archeologické důkazy získané v posledních letech naznačují, že stejný model pece, byť menších rozměrů, byl součástí železářské výrobní tradice předcházející fázi zavádění vodní síly, kdy práce byla vykonávána silou lidskou. Tuto fázi lze datovat od 9. do 14. století, a souvisí se zařízeními známými jako haizeola. Ty byly rozpoznány na baskických územích Biscay, Gipuzkoa a Alava nacházejících se na západním okraji Pyrenejí.
If $G$ is a connected graph of order $n \ge 1$, then by a hamiltonian coloring of $G$ we mean a mapping $c$ of $V(G)$ into the set of all positive integers such that $\vert c(x) - c(y)\vert \ge n - 1 - D_{G}(x, y)$ (where $D_{G}(x, y)$ denotes the length of a longest $x-y$ path in $G$) for all distinct $x, y \in V(G)$. Let $G$ be a connected graph. By the hamiltonian chromatic number of $G$ we mean \[ \min (\max (c(z);\, z \in V(G))), \] where the minimum is taken over all hamiltonian colorings $c$ of $G$. The main result of this paper can be formulated as follows: Let $G$ be a connected graph of order $n \ge 3$. Assume that there exists a subgraph $F$ of $G$ such that $F$ is a hamiltonian-connected graph of order $i$, where $2 \le i \le \frac{1}{2}(n + 1)$. Then $\mathop {\mathrm hc}(G) \le (n - 2)^2 + 1 - 2(i - 1)(i - 2)$.