840 research outputs found
On the maximum values of the additive representation functions
Let and be sets of nonnegative integers. For a positive integer
let denote the number of representations of as the sum of two
terms from . Let and
\displaystyle d_{A,B}(x) = \max_{\hbox{t: a_{t} \le xb_{t} \le
x}}|a_{t} - b_{t}|. In this paper we study the connection between ,
and . We improve a result of Haddad and Helou about the
Erd\H{o}s - Tur\'an conjecture
Radiodiagnostic method for studying the dynamics of Anguillicola crassus (Nematoda: Dracunculoidea) infection and pathological status of the swimbladder in Lake Balaton eels
Swimbladder changes resulting from Anguillicola crassus infection of the European eel Anguilla anguilla have been the subject of several studies reported in the literature. These investigations, however, studied exclusively the status of infection at a given point in time and did not deal with changes in swimbladder infection in eels suffering from anguillicolosis over a period of time. In this study, A. crassus-induced pathological changes were monitored in 78 eels naturally infected in Lake Balaton and subsequently kept in the laboratory, thus excluding the possibility of further infection. During the 3 mo study, the status of the swimbladder was checked by radiographic examination on 4 occasions. At the end of the study the eels were dissected and the gross pathological changes in the swimbladders were compared with the radiographic findings. As compared to their starting condition, by the end of the study the pathological status of the swimbladder had deteriorated in 55 % and remained the same in 37 % of the cases. Tendency to improvement (1 %) and variable findings (7 %) were recorded in a low percentage of cases only. With the help of the radiographs presented, the dynamics of A. crassus infection and of changes in the swimbladder of individual eel specimens can be monitored easily
Intraoligochaete development of Myxobolus intimus (Myxosporea: Myxobolidae), a gill myxosporean of the roach (Rutilus rutilus)
The infection with Myxobolus intimus Zaika, 1965 in the gills of the roach Rutilus rutilus (L.) from Lake Balaton was recorded in 28 out of the 39 fish examined. Developing and mature plasmodia were detected on the gills exclusively in the spring. The Myxobolus intimus infection was found only in 2- to 3-year-old fish. In histological sections, young plasmodia were found in capillaries of the secondary lamellae. More mature, round plasmodia 0.4-0.6 mm in diameter, deformed the respiratory lamellae. The intraoligochacte development of M. intimus was studied in experimentally infected oligochaetes. In two experiments, uninfected Tubifex tubifex Muller and Limnodrilus hoffmeisteri (Claparede) were exposed to mature myxospores of M. intimus. In both experiments, typical triactinospores developed in T. tubifex specimens but no infection was found in L. hoffmeisteri. In semithin sections, developmental stages, pansporocysts and actinospores, were found within the proliferated gut epithelium of T. tubifex. Triactinospores were first released from oligochaetes 37 and 58 days after initial exposure in the two experiments, respectively. Each triactinospore had three pyriform polar capsules and a cylindrical sporoplasm with 32 secondary cells. The spore body joined the 3 caudal projections with a moderately long style
On minimal additive complements of integers
Let . If , then the set is
called an additive complement to in . If no proper subset of
is an additive complement to , then is called a minimal additive
complement. Let . If there exists a positive integer
such that for all sufficiently large integers , then we call
eventually periodic. In this paper, we study the existence of a minimal
complement to when is eventually periodic or not. This partially
answers a problem of Nathanson.Comment: 13 page
Multiphase Eulerian simulations of a sedimentation process in a solid-fluid particle-laden flow
In this paper, modelling details have been investigated for a multiphase settling
process in a two-dimensional particle-laden flow. Unsteady simulations have been
performed by using an Eulerian-Eulerian multiphase approach. A preliminary mesh
sensitivity study showed that the numerical results might become oscillatory when
the grid spacing is comparable with the solid particle diameter, which indicates that
excessive mesh refinement is undesirable. In these multiphase flows, the interaction
between the fluid and solid phases is modelled relying on purely heuristic
arguments, which is a major source of uncertainties. Therefore fluid-solid exchange
and drag coefficient models have been compared and assessed in terms of their
accuracy. Since the ANSYS-FLUENT commercial software package provides only
a few of these approaches, the majority of the models have been implemented
through User-Defined Functions (UDFs) in C programming language. The results
showed that the choice of an exchange model has considerable impact on the
solution and the best agreement has been achieved by employing the formulation
proposed by Schiller and Naumann [8]. However, only minor differences have been
experienced between the distinct drag models for this specific problem due to their
similar behaviour over the investigated settling Reynolds number range
The Social Aspects and Public Acceptance of Biomass Giving the Example of a Hungarian Region
Biomass energy sources are the most promising, and most heavily subsidized renewable energy sources. The future of biomass energy in the global energy system depends on on many major factors, among others on the attitude of society to the biomass energy and the renewable energy resources. The purpose of the paper is to analyze the opportunities of utilization of biomass energy sources giving example of a Hungarian study area furthermore to study the public acceptance of renewable energy sources in a certain region. The study aims to explore the general knowledge, innovative attitude, acceptance and willingness of application as well as the estimation of the benefits of the use of RES within the inhabitants. Data collection has carried out by primary (questionnaire survey) and secondary ways in order to gain deep information from the target group (local people). The conclusion we can drawn from the analysis is that society take the biomass energy into consideration and its importance and responsibility is increasing. As far as the consciousness is concerned, the knowledge and the environmental friendly approach of inhabitants are also sufficient
Accelerating Universe as Window for Extra Dimensions
Homogeneous cosmological solutions are obtained in five dimensional space
time assuming equations of state and where p
is the isotropic 3 - pressure and , that for the fifth dimension. Using
different values for the constants k and many known solutions are
rediscovered. Further the current acceleration of the universe has led us to
investigate higher dimensional gravity theory, which is able to explain
acceleration from a theoretical view point without the need of introducing dark
energy by hand. We argue that the terms containing higher dimensional metric
coefficients produce an extra negative pressure that apparently drives an
acceleration of the 3D space, tempting us to suggest that the accelerating
universe seems to act as a window to the existence of extra spatial dimensions.
Interestingly the 5D matter field remains regular while the \emph{effective}
negative pressure is responsible for the inflation. Relaxing the assumptions of
two equations of state we also present a class of solutions which provide early
deceleration followed by a late acceleration in a unified manner. Interesting
to point out that in this case our cosmology apparently mimics the well known
quintessence scenario fuelled by a generalised Chaplygin-type of fluid where a
smooth transition from a dust dominated model to a de Sitter like one takes
place.Comment: 20 pages,3 figure
Comparison of soil erosion dynamics under extensive and intensive cultivation based on basic soil parameters
The conservation of soil and its elemental feature, t
he soil fertility has not just national and
agricultural business interest, since the fertile soil is
an elemental part of the material turnover in the
environment. The soil erosion can reach huge spatial e
xtensions and starts with the most valuable part: the
upper, fertile layer. So, its research is crucial for
our future survival. Our studied area can be found
in
Gerézdpuszta at the Koppåny
-valley of Hungary, which is a sensitive erosion area.
We sampled the upper 30
cm of soil layer in every 10 meters that resulted 32-32
point samples on the arable and on the grassland,
respectively. One sample was taken under the forest as r
eference. We analyzed the basic soil parameters:
CaCO
3
, pH, AL-P
2
O
5
, AL-K
2
O, Kuronâs higroscopicity, SOM and the particle size di
stribution was
determined. Besides, we examined the connection between
the given results from laboratory soil analyses and
the Munsell-type and Google Earth satellite image colors. O
ur results show the erosion dynamic on our
sample slope, and the main differences in basic soil paramet
ers between different intensities. The main
indicator of soil erosion dynamic were the CaCO
3
, the SOM, AL-P
2
O
5
and the particle size distribution,
where the SOM and CaCO
3
were correlate with the Munsell and Google Earth col
or also
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