Suppose ${F}$ is a perfect field of ${\mathop {\mathrm char}F=p\ne 0}$ and ${G}$ is an arbitrary abelian multiplicative group with a ${p}$-basic subgroup ${B}$ and ${p}$-component ${G_p}$. Let ${FG}$ be the group algebra with normed group of all units ${V(FG)}$ and its Sylow ${p}$-subgroup ${S(FG)}$, and let ${I_p(FG;B)}$ be the nilradical of the relative augmentation ideal ${I(FG;B)}$ of ${FG}$ with respect to ${B}$. The main results that motivate this article are that ${1+I_p(FG;B)}$ is basic in ${S(FG)}$, and ${B(1+I_p(FG;B))}$ is ${p}$-basic in ${V(FG)}$ provided ${G}$ is ${p}$-mixed. These achievements extend in some way a result of N. Nachev (1996) in Houston J. Math. when ${G}$ is $p$-primary. Thus the problem of obtaining a ($p$-)basic subgroup in ${FG}$ is completely resolved provided that the field $F$ is perfect. Moreover, it is shown that ${G_p(1+I_p(FG;B))/G_p}$ is basic in ${S(FG)/ G_p}$, and $G(1+I_p(FG; B))/G$ is basic in ${V(FG)/G}$ provided ${G}$ is ${p}$-mixed. As consequences, ${S(FG)}$ and ${S(FG)/G_p}$ are both starred or divisible groups. All of the listed assertions enlarge in a new aspect affirmations established by us in Czechoslovak Math. J. (2002), Math. Bohemica (2004) and Math. Slovaca (2005) as well.
Although Basel book printing had a major influence on the development of humanistic studies in the 16th century, its import into the Czech lands has not been studied so far. This study explores books printed by a famous printer Johann Froben (ca. 1460–1527), and their representation in selected Czech and Moravian libraries. Using methods of provenance research, I have identified specimens that arrived in our territory not long after their printing, paying a special attention to the titles created by people from the circle of the University of Basel. My research has shown that although Czech students rarely attended Basel University until the mid-16th century, works by Basel University scholars from Froben printing house were available in Bohemia and Moravia as early as in the second and third decade of the 16th century. Furthermore, the books printed by Froben penetrated much better into the Catholic regions of Bohemia and Moravia, more open to modern humanistic studies.
The relationship between ash content and carbon isotope discrimination (Δ) was studied in durum wheat (Triticum durum Desf.) grown in a Mediterranean region (Northwest Syria) under three different water regimes (hereafter referred to as environments). In two of these environments, 144 genotypes were cultivated under rain-fed conditions. In the third environment, 125 genotypes were cultivated under irrigation. Ash content was measured in the flag leaf about 3 weeks after anthesis, whereas Δ was analysed in mature kernels. Total transpiration of the photosynthetic tissues of the culm contributing, from heading to maturity, to the filling of kernels was also estimated. Leaf ash content, expressed either on dry matter or leaf area basis or as total ash per blade, correlated positively (p< 0.001) with Δ in the three environments. However, this relationship was not the result of a positive correlation across genotypes between Δ and tissue water content. Moreover, only a small part of the variation in Δ across genotypes was explained by concomitant changes in ash content. When all genotypes across the three environments were plotted, Δ and ash content followed a non-linear relationship (r2 = 74), with Δ tending to a plateau as the ash content increased. However, for the set of genotypes and environments combined, total ash content per leaf blade was positively and linearly related (r2 = 0.76) with the accumulated culm transpiration. The non-linear nature of the relationship between ash content and Δ is sustained by the fact that culm transpiration also showed a non-linear relationship with kernel Δ. Therefore, differences in leaf ash content between environments, and to a lesser extent between genotypes, seem to be brought about by variations in accumulated transpiration during grain formation. and J. L. Araus ... [et al.].
Ivan Diviš’s My Eyes had to See (1987–1989) can be considered one of the finest poetic creations and performances of Czech poetry at the end of the 20th century. Its powerful effect lies in the fact that it combines poetic testimony, (auto)biographical intimacy, a suprapersonal, generally applicable message and a reflection on universal history and the modern Czech history of the last century in both fiction and fact. It is as if the identity of the poet is actually determined by the testimony: the poet is the one who sees, must see, and bear witness to what he sees.
Studie se zaměřuje na veršované drama pro děti od Františka Hrubína z roku 1950, inspirované klasickou pohádkou Šípková Růženka. Zabývá se jím v kontextu Hrubínova díla a především v kontextu kulturní politiky komunistické totality. Narušuje obecné přesvědčení, že autoři dětské literatury nemuseli čelit výraznému destruktivnímu tlaku totalitního režimu. Spoluautorka Ludmila Burešová, nakladatelství Osvěta a někteří kritici naléhali na autora, aby provedl některé úpravy ve smyslu ideologie třídního boje v době budování socialistické společnosti, aby přispěl k výchově „nového“, socialistického člověka. Autor odolal, nicméně drama neubránil zcela před dobovými tendencemi, zejména v jeho závěru. Proto se rozhodl nepovolil další rozmnožování textu. Drama bylo oblíbeným repertoárem profesionálních i amatérských divadel do šedesátých let 20. století. Edice korespondence z osobního fondu Františka Hrubína, uloženého v Literárním archivu Památníku národního písemnictví, má dvě části. První obsahuje korespondenci vztahující se přímo k dramatu, druhá dokumentuje dobový kontext básníkovy tvorby, služebné postavení autorů v době komunistické moci v 50. a 60. letech., The study focuses on the rhymed drama for children by František Hrubín, inspired by the classical fairy tale Sleeping Beauty, written in 1950. It shows the piece in the context of Hrubín’s work, and, mainly, in the context of the time of totalitarian communist culture politics. It tries to show that the destructive influence of the totalitarian regime did not leave even the children literature untouched, which is a common myth. The co-author, Ludmila Burešová, the Osvěta publishing house and even some critics tried to force the author for some changes in the sense of the class war ideology in the time of building the “new” socialistic society, during the education of a “new” man. The author resisted this force, however, the drama has some signs of culture deformation, especially in the finale. Therefore, the author decided to not permit further copies of the text. The drama was a popular repertoire of professional and amateur theatres until the end of 1960’s. The edition from the František Hrubín fund, stored in the Literature Archive of the National Museum of Literature has two parts. The first part contains the correspondence regarding the drama; the second part is a selection of letters by various authors, which illustrate the trends of that time and servant-like position of artists in the time of communist power monopoly in the 1950’s and 1960’s. (Translated by Lukáš Ferkl.), and Překlad resumé: Lukáš Ferkl
In numerical models of fluid flow with particles moving close to solid boundaries, the Basset force is usually calculated for the particle motion between particle-boundary collisions. The present study shows that the history force must also be taken into account regarding particle collisions with boundaries or with other particles. For saltation - the main mode of bed load transport - it is shown using calculations that two parts of the history force due to both particle motion in the fluid and to particle-bed collisions are comparable and substantially compensate one another. The calculations and comparison of the Basset force with other forces acting on a sand particle saltating in water flow are carried out for the different values of the transport stage. The conditions under which the Basset force can be neglected in numerical models of saltation are studied. and V numerických modelech proudění tekutin s pevnými částicemi v blízkosti pevné stěny je Bassetova historická síla obvykle počítána pro pohyb částice mezi jejími jednotlivými kolisemi se dnem. Předložená studie ukazuje, že při výpočtu Bassetovy historické síly je nutné brát v úvahu kolisi částice s pevným dnem nebo s jinými částicemi. Pro saltaci, hlavní typ pohybu splavenin u dna koryta, je na základě použitých výpočtů ukázáno, že dvě části Bassetovy historické síly, tj. síly způsobené pohybem částice v tekutině a kolisí částice se dnem, jsou srovnatelné a mohou se vzájemně významně kompensovat. Výpočet Bassetovy historické síly a její srovnání s ostatními silami působícími na písčitou částici při jejím saltačním pohybu ve vodě je uskutečněn pro různé hodnoty tzv. transport stage (poměr aktuálního a kritického smykového napětí na dně). Zároveň byly studovány podmínky, za nichž může být Bassetova historická síla v numerických modelech zanedbána.
A single-machine batch scheduling problem is investigated. Each job has a positive processing time and due-date. Setup times are assumed to be identical for all batches. All batch sizes cannot exceed a common upper bound. As in many practical situations, jobs have to be subject to flexible precedence constraints. The aim of this paper is to find an optimal batch sequence. The sequence is to minimize the maximal completion time and maximize the minimum value of desirability of the fuzzy precedence. However, there usually exists no batch sequence optimizing both objectives at a time. Therefore, we seek some non-dominated batch sequences after the definition of non-dominated batch sequence. Based on an iterative Procedure HL proposed by Cheng et al., an efficient algorithm is presented to find some non-dominated batch sequences.