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1882. Basic bounds of Fréchet classes
- Creator:
- Skřivánek, Jaroslav
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- algebraic bound, basic bound, copula, Diophantine equation, Fréchet class, and pointed convex polyhedral conde
- Language:
- English
- Description:
- Algebraic bounds of Fréchet classes of copulas can be derived from the fundamental attributes of the associated copulas. A minimal system of algebraic bounds and related basic bounds can be defined using properties of pointed convex polyhedral cones and their relationship with non-negative solutions of systems of linear homogeneous Diophantine equations, largely studied in Combinatorics. The basic bounds are an algebraic improving of the Fréchet-Hoeffding bounds. We provide conditions of compatibility and propose tools for an explicit description of the basic bounds of simple Fréchet classes.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1883. Basic equations of G-almost geodesic mappings of the second type, which have the property of reciprocity
- Creator:
- Stanković, Mića S, Zlatanović, Milan L, and Vesić, Nenad O
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- non-symmetric affine connection, almost geodesic mapping, G-almost geodesic mapping, property of reciprocity, almost geodesic mapping of the second type, 13, and 51
- Language:
- English
- Description:
- We study G-almost geodesic mappings of the second type \mathop {{\pi _2}}\limits_\theta (e),\theta = 1,2 between non-symmetric affine connection spaces. These mappings are a generalization of the second type almost geodesic mappings defined by N. S. Sinyukov (1979). We investigate a special type of these mappings in this paper. We also consider e-structures that generate mappings of type \mathop {{\pi _2}}\limits_\theta (e),\theta = 1,2. For a mapping \mathop {{\pi _2}}\limits_\theta (e,F),\theta = 1,2 we determine the basic equations which generate them., Mića S. Stanković, Milan L. Zlatanović, Nenad O. Vesić., and Obsahuje seznam literatury
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1884. Basic red-5 adsorption on montmorillonite: faktorial design, equilibrium, kinetic and thermodynamic studies
- Creator:
- Geyicki, Feza
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Basic Red 5, isotherm, kinetic, factorial design, and montmorillonite
- Language:
- English
- Description:
- In this study, the adsorption performance of montmorillonite (MMT) was evaluated by Basic Red-5 adsorption experiments considering the influencing factors (initial BR-5 concentration, dosage, time, pH, and temperature). The surface and structural properties were characterized by FT-IR, XRD, XRF, SEM-EDS, AFM, and BET techniques. The adsorption experiments were carried out by batch mode for the evaluation of isotherm, kinetic, and thermodynamic studies. The results of equilibrium adsorption isotherm were interpreted using different isotherm models. The equilibrium data fitted well with the Langmuir isotherm models, and the maximum adsorption capacity was found as 163.93 mg/g. Adsorption data of the BR-5 onto MMT provide well by pseudo-second-order model (R2= 0.999). The Ho, So and Go values were calculated for the nature of the adsorption process. The analysis of the thermodynamic parameters showed spontaneous, exothermic, and viable adsorption of BR-5 under the investigated experimental conditions. A factorial design was applied to examine the effect of three factors initial concentration of dye (50 and 100 mg/L), time (60 and 120 min.) and dosage (0.05 and 1.00 mg/L) on the adsorption process. According to the results, with high efficient adsorption capacity and compatible surface properties are advantageous to be used for uptake of dyes.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1885. Basic subgroups in abelian group rings
- Creator:
- Danchev, Peter Vassilev
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- basic and lower basic subgroups, units, and modular abelian group rings
- Language:
- English
- Description:
- Suppose $R$ is a commutative ring with identity of prime characteristic $p$ and $G$ is an arbitrary abelian $p$-group. In the present paper, a basic subgroup and a lower basic subgroup of the $p$-component $U_p(RG)$ and of the factor-group $U_p(RG)/G$ of the unit group $U(RG)$ in the modular group algebra $RG$ are established, in the case when $R$ is weakly perfect. Moreover, a lower basic subgroup and a basic subgroup of the normed $p$-component $S(RG)$ and of the quotient group $S(RG)/G_p$ are given when $R$ is perfect and $G$ is arbitrary whose $G/G_p$ is $p$-divisible. These results extend and generalize a result due to Nachev (1996) published in Houston J. Math., when the ring $R$ is perfect and $G$ is $p$-primary. Some other applications in this direction are also obtained for the direct factor problem and for a kind of an arbitrary basic subgroup.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1886. Basic subgroups in commutative modular group rings
- Creator:
- Danchev, Peter V.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- perfect rings, Abelian p-groups, groups of normalized units, group rings, and basic subgroups
- Language:
- English
- Description:
- Let S(RG) be a normed Sylow p-subgroup in a group ring RG of an abelian group G with p-component Gp and a p-basic subgroup B over a commutative unitary ring R with prime characteristic p. The first central result is that 1 + I(RG; Bp) + I(R(p i )G; G) is basic in S(RG) and B[1 + I(RG; Bp) + I(R(p i )G; G)] is p-basic in V (RG), and [1 + I(RG; Bp) + I(R(p i )G; G)]Gp/Gp is basic in S(RG)/Gp and [1 + I(RG; Bp) + I(R(p i )G; G)]G/G is p-basic in V (RG)/G, provided in both cases G/Gp is p-divisible and R is such that its maximal perfect subring R p i has no nilpotents whenever i is natural. The second major result is that B(1 + I(RG; Bp)) is p-basic in V (RG) and (1 + I(RG; Bp))G/G is p-basic in V (RG)/G, provided G/Gp is p-divisible and R is perfect. In particular, under these circumstances, S(RG) and S(RG)/Gp are both starred or algebraically compact groups. The last results offer a new perspective on the long-standing classical conjecture which says that S(RG)/Gp is totally projective. The present facts improve the results concerning this topic due to Nachev (Houston J. Math., 1996) and others obtained by us in (C. R. Acad. Bulg. Sci., 1995) and (Czechoslovak Math. J., 2002).
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1887. Basic subgroups in modular abelian group algebras
- Creator:
- Danchev, Peter
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- $p$-basic subgroups, normalized units, group algebras, and starred groups
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1888. Básnické spisy
- Creator:
- Pavel Josef Šafařík and Jan Vilikovský
- Publisher:
- V generální komisi nakl. Melantrich and Nákladem Učené společnosti Šafaříkovy
- Format:
- print, text, regular print, and xxxvi, 467 s. : faksim. ; 25 cm
- Type:
- model:monograph and TEXT
- Subject:
- Slovenská literatura, 821.162.4-1, 821.162.4-2, (081.1), 25, and 821.162.4
- Language:
- Czech, English, German, and Latin
- Description:
- Pavel Josef Šafařík ; vydal Jan Vilikovský, 1000 výt., Obsahuje bibliografické odkazy a rejstřík, and Část. staročeský, anglický, německý a latinský text
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1889. Basset Y., Novotný V., Miller S.E. & Kitching R.L. (eds): Arthropods of Tropical Forests: Spatio-temporal Dynamics and Resource Use in the Canopy
- Creator:
- Aiello, A.
- Type:
- article, model:article, and TEXT
- Language:
- English
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
1890. Bat-infesting chiggers (Acariformes: Trombiculidae) of the Balearic Islands and new data on the genus Trisetica Traub et Evans, 1950
- Creator:
- Stekolnikov, Alexandr A. and Quetglas, Juan
- Format:
- počítač and online zdroj
- Type:
- model:article and TEXT
- Subject:
- Chigger mites, Mediterranean, Spain, Africa, bat hosts, Pipistrellus kuhlii, and Plecotus austriacus
- Language:
- English
- Description:
- A sample of chigger mites from bat hosts collected in the Balearic Islands (Western Mediterranean Sea) is found to include two species. These are the first records of bat-infesting chiggers identified to species in Spain. Chiggers collected from Pipistrellus kuhlii (Kuhl) in Menorca are identified as Oudemansidium komareki (Daniel et Dusbábek, 1959); this species, which was known from Austria, Bulgaria, Romania, Slovakia, Moldova, Crimea, and Azerbaijan, is recorded for the first time in Spain. Chiggers collected from Plecotus austriacus (Fischer) in Formentera are identified as Trombicula knighti Radford, 1954, which was insufficiently described from a bat in Yemen and known only from its type locality. We transfer this species to the genus Trisetica Traub et Evans, 1950 and provide its re-description based on paratypes and the material from the Balearic Islands. The species Sasatrombicula (Rudnicula) balcanica Kolebinova, 1966 is synonymised with T. knighti. One species closely related to T. knighti, Trisetica aethiopica (Hirst, 1926), which was recorded in Ghana, Uganda, South Sudan, and Madagascar, is re-described on the basis of its syntype deposited in the Natural History Museum, London, UK. This specimen is designated as lectotype.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public