Let M be an m-dimensional manifold and A = Dr k/I = R⊕NA a Weil algebra of height r. We prove that any A-covelocity TA x f ∈ TA x M, x ∈ M is determined by its values over arbitrary max{widthA,m} regular and under the first jet projection linearly independent elements of TA x M. Further, we prove the rigidity of the so-called universally reparametrizable Weil algebras. Applying essentially those partial results we give the proof of the general rigidity result TA M ≃ T r M without coordinate computations, which improves and generalizes the partial result obtained in Tomáš (2009) from m > k to all cases of m. We also introduce the space JA(M,N) of A-jets and prove its rigidity in the sense of its coincidence with the classical jet space Jr(M,N)., Jiří Tomáš., and Seznam literatury
In this paper we compute injective, projective and flat dimensions of inverse polynomial modules as $R[x]$-modules. We also generalize Hom and Ext functors of inverse polynomial modules to any submonoid but we show Tor functor of inverse polynomial modules can be generalized only for a symmetric submonoid.
W. Blaschke and H. R. Müller [4, p. 142] have given the following theorem as a generalization of the classic Holditch Theorem: Let $E/E^{\prime }$ be a 1-parameter closed planar Euclidean motion with the rotation number $\nu $ and the period $T$. Under the motion $E/E^{\prime }$, let two points $A = (0, 0)$, $B = (a + b, 0) \in E$ trace the curves $k_A, k_B \subset E^{\prime }$ and let $F_A, F_B$ be their orbit areas, respectively. If $F_X$ is the orbit area of the orbit curve $k$ of the point $X = (a, 0)$ which is collinear with points $A$ and $B$ then \[ F_X = {[aF_B + bF_A] \over a + b} - \pi \nu a b. \] In this paper, under the 1-parameter closed planar homothetic motion with the homothetic scale $ h = h (t)$, the generalization given above by W. Blaschke and H. R. Müller is expressed and \[ F_X = {[aF_B + bF_A]\over a + b} - h^2 (t_0) \pi \nu a b, \] is obtained, where $\exists t_0 \in [0, T]$.
Chaos is present in many aspect of life. It is very difficult to detect and control chaotic behavior in nonlinear engineering dynamical systems. This contribution deals about some devices for generation of chaotic signals, for example about Chua's circuit, chaos module and analog chaotic oscillators. and Obsahuje seznam literatury
Four new species of the genus Hatschekia Poche, 1902 (Copepoda: Siphonostomatoida: Hatschekiidae) are described based on female specimens collected from pufferfishes (Tetraodontiformes: Tetraodontidae) caught in coastal waters off the Ryukyu Islands, Japan: H. longiabdominalis sp. n. on Arothron hispidus (Linnaeus), H. geniculata sp. n. on A. hispidus (type host) and A. stellatus (Bloch et Schneider), H. ellipsocorpa sp. n. on A. mappa (Lesson), and H. boonah sp. n. on A. nigropunctatus (Bloch et Schneider) (type host) and A. meleagris (Schneider). Hatschekia longiabdominalis sp. n. and H. boonah sp. n. differ from all other congeners by sharing an unusual, projected abdomen and a fusiform trunk with posterior lobes; these two species are differentiated from each other by the shape of the dorsal chitinous frame on the cephalothorax. Hatschekia geniculata sp. n. can be distinguished by the combination of the following morphological characters: a rhomboidal cephalothorax with a pair of lateral conical protrusions, a cylindrical trunk with posterior lobes and a bent abdomen with a dorsal protrusion. Hatschekia ellipsocorpa sp. n. resembles H. pholas (Wilson, 1906) but can be distinguished from the latter by the possession of one distal and one inner setae on the terminal endopodal segment of legs 1 and 2. Hatschekia pholas is also redescribed based on female specimens from the tetraodontid A. stellatus. At present, 44 nominal species of the genus have been reported from Japan, including four new species described in this paper; 38 of them have been described originally from Japan.
In respect of its morphology, biology and epidemiology, Hyalomma (Euhyalomma) impressum Koch, 1844 is one of the more poorly studied ticks of the genus Hyalomma Koch, 1844. No comprehensive morphological study has been done to date, and the nymph has not been described. Here the adults and larva are redescribed, and the nymph is described for the first time. Data on hosts, geographical distribution and disease relationships are provided.
Hyalomma (Euhyalomma) lusitanicum Koch, 1844 and Hyalomma (Euhyalomma) franchinii Tonelli Rondelli, 1932 are amongst the most poorly studied of those species within the genus Hyalomma Koch, 1844 that are restricted to the Mediterranean region. No comprehensive morphological study has been done to date, and the immature stages of H. (E.) franchinii have not been described. Here all the parasitic stages of H. (E.) lusitanicum and the adults of H. (E.) franchinii are redescribed, and the immature stages of the latter species are described for the first time. Data on hosts, geographic distribution and disease relationships are provided.
Taxonomic uncertainty as to the identities of Hyalomma (Euhyalomma) scupense Schulze, 1919 and Hyalomma detritum Schulze, 1919 has existed for nearly 85 years. The chief criterion used to consider these taxa as separate species has been an ecological feature, namely that H. scupense is a one-host tick while H. detritum is a two-host species. Morphologically they are identical. To date no comprehensive taxonomic study has been done on all parasitic stages of the two species. Here the decision to grant priority status to H. scupense and to synonymise H. detritum with H. scupense is defended. The adults and immature stages of H. scupense are illustrated and redescribed. The morphological characteristics that separate the males, females, nymphs and larvae from those of other Hyalomma species are discussed for each developmental stage. Data on hosts, geographic distribution and disease relationships are provided.
By using the Seiberg-Witten invariant we show that the region under the Noether line in the lattice domain $\mathbb{Z}\times \mathbb{Z}$ is covered by minimal, simply connected, symplectic 4-manifolds.
The glucagon-like peptide-1 receptor (GLP-1R) agonist liraglutide is an incretin hormone mimetic used in the treatment of diabetes. However, the effects of liraglutide on pulmonary hypertension (PH) and pulmonary endothelin (ET) system are unknown. Eight-week-old C57BL6/J mice were injected liraglutide or vehicle for 5 weeks. One week after injection, the mice were exposed to either room air (normoxia) or chronic hypoxia (10 % O2) for 4 weeks. The right ventricular systolic pressure (RVSP) was significantly higher in hypoxia + vehicle group than in normoxia + vehicle group. ET-1 mRNA expression in the lungs was comparable among all the groups. ETB mRNA and protein expression in the lungs was significantly lower in hypoxia + vehicle group than in normoxia + vehicle group. The above changes were normalized by liraglutide treatment. The expression of phospho-eNOS and phospho-AMPK proteins in the lungs was significantly higher in hypoxia + liraglutide group than in normoxia + vehicle group. We demonstrated for the first time that liraglutide effectively improved RVSP and RV hypertrophy in hypoxia-induced PH mice by activating eNOS through normalization of impaired ETB pathway and augmentation of AMPK pathway. Therefore, GLP-1R agonists can be promising therapeutic agents for PH., J. Honda, T. Kimura, S. Sakai, H. Maruyama, K. Tajiri, N. Murakoshi, S. Homma, T. Miyauchi, K. Aonuma., and Seznam literatury