Selection principles and double sequences II

This paper is a continuation of the research on selection properties of certain classes of double sequences of positive real numbers that was began in [6].Publishe

Complementary Pair of Quasi-antiorders

The aims of the present paper are to introduction and investigate of notions of complementary pairs of quasi-antiorders and half-space quasi-antiorder on a given set. For a pair α and β of quasi-antiorders on a given set A we say that they are complementary pair if α ∪ β =6=A and α ∩ β = ∅. In that case, α (and β ) is called half-space on A. Assertion, if α is a half-space quasi-antiorder on A, then the induced anti-order θ on A/(α ∪ α−1) is a half-space too, is the main result of this paper

Nezrele ganglijske stanice kolona kao uzrok megakolona u dojenačkoj dobi: prikaz bolesnika

IImmaturity of ganglion cells is a rare form of dysganglionosis that belongs to the group of dysmorphic types, characterized by a normal or mildly decreased number of ganglion cells, with the cells and their nuclei being considerably smaller in size. The disorder usually manifests clinically early after birth with abdominal distension, vomiting, feeding intolerance, and delayed passing of meconium. Diagnostic evaluation may include radiological studies; however, biopsy of colonic mucosa with histochemical analysis is considered the most reliable method. Manometry is a reliable noninvasive diagnostic study to confi rm motility disorder. Treatment may be medical in mild cases and more commonly surgical due to complications of the disorder. We present a case of immature colonic ganglion cells as a cause of megacolon in infancy. In our case, medicamentous treatment was eff ective and led to normalization of bowel emptying and stool consistency. Considering that follow up rectosigmoidoscopy was refused by the patient’s parents, we were not able to compare the histopathologic fi ndings before and after the medicamentous treatment; however, the favorable clinical course made us assume that the ganglion cells had probably fully matured.Nezrelost ganglijskih stanica je rijedak oblik disganglionoze koji spada u skupinu dismorfi čnih tipova, a obilježen je normalnim ili blago povišenim brojem ganglijskih stanica, pri čemu su stanice i njihove jezgre znatno manje veličine. Klinički se bolest obično očituje rano poslije rođenja uz nadutost trbuha, povraćanje, nepodnošenje hranjenja i odgođen prolazak mekonija. Dijagnostička procjena može obuhvatiti radiološka ispitivanja, međutim, biopsija sluznice kolona uz histokemijsku analizu smatra se najpouzdanijom metodom. Manometrija je pouzdana neinvazivna dijagnostička pretraga za potvrdu poremećaja pokretljivosti. Liječenje može biti medikamentno u blažim slučajevima, ali je češće kirurško zbog komplikacija bolesti. Prikazuje se slučaj gdje su nezrele ganglijske stanice kolona uzrokovale megakolon kod dojenčeta. U našem slučaju se medikamentno liječenje pokazalo učinkovitim i dovelo je do normalizacije pražnjenja crijeva i konzistencije stolice. Kako su bolesnikovi roditelji odbili kontrolnu rektosigmoidoskopiju, nismo mogli usporediti histopatološke nalaze prije i poslije medikamentnog liječenja, ali povoljan klinički tijek ukazuje na to da su ganglijske stanice vjerojatno sazrele

Determining the speed of sound, density and bulk modulus of rapeseed oil, biodiesel and diesel fuel

Modern tendencies in the development of diesel engines include the operation of the system for injecting diesel fuel at pressures higher than 100 MPa. Knowing the characteristics of liquid fuels such as speed of sound, bulk modulus and density depending on pressure, is important for predicting the behavior of fuel injection systems for diesel engines and optimization of the same. The paper presents an original method and apparatus (device) for determining the speed of sound and density of fluids depending on the pressures. With this method, values of these characteristics for rapeseed oil, biodiesel and conventional diesel fuel at pressures up to 160 MPa are determined. The method is non-destructive, it can also be applied to higher pressures than 160 MPa, as well as other liquid fluids that are used at high pressure - hydraulic oil, for example

Complementary Pair of Quasi-antiorders

The aims of the present paper are to introduction and investigate of notions of complementary pairs of quasi-antiorders and half-space quasi-antiorder on a given set. For a pair $\alpha$ and $\beta$ of quasi-antiorders on a given set $A$ we say that they are complementary pair if $\alpha \cup \beta=\ne_A$ and $\alpha \cap \beta=\emptyset$. In that case, $\alpha$ (and $beta$ ) is called half-space on $A$. Assertion, if $\alpha$ is a half-space quasi-antiorder on $A$, then the induced anti-order $\theta$ on $A$ $/(\alpha\cup\alpha^{−1})$ is a half-space too, is the main result of this paper

Einstein Field Equation, Recursion Operators, Noether and Master Symmetries in Conformable Poisson Manifolds

We show that a Minkowski phase space endowed with a bracket relatively to a conformable differential realizes a Poisson algebra, confering a bi-Hamiltonian structure to the resulting manifold. We infer that the related Hamiltonian vector field is an infinitesimal Noether symmetry, and compute the corresponding deformed recursion operator. Besides, using the Hamiltonian–Jacobi separability, we construct recursion operators for Hamiltonian vector fields in conformable Poisson–Schwarzschild and Friedmann–Lemaître–Robertson–Walker (FLRW) manifolds, and derive the related constants of motion, Christoffel symbols, components of Riemann and Ricci tensors, Ricci constant and components of Einstein tensor. We highlight the existence of a hierarchy of bi-Hamiltonian structures in both the manifolds, and compute a family of recursion operators and master symmetries generating the constants of motion

Determining the speed of sound, density and bulk modulus of rapeseed oil, biodiesel and diesel fuel

Modern tendencies in the development of diesel engines include the operation of the system for injecting diesel fuel at pressures higher than 100 MPa. Knowing the characteristics of liquid fuels such as speed of sound, bulk modulus and density depending on pressure, is important for predicting the behavior of fuel injection systems for diesel engines and optimization of the same. The paper presents an original method and apparatus (device) for determining the speed of sound and density of fluids depending on the pressures. With this method, values of these characteristics for rapeseed oil, biodiesel and conventional diesel fuel at pressures up to 160 MPa are determined. The method is non-destructive, it can also be applied to higher pressures than 160 MPa, as well as other liquid fluids that are used at high pressure - hydraulic oil, for example