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László Németh

Abstract

The hyperbolic Pascal triangle HPT 4,q (q 5) is a new mathematical construction, which is a geometrical generalization of Pascal’s arithmetical triangle. In the present study we show that a natural pattern of rows of HPT 4,5 is almost the same as the sequence consisting of every second term of the well-known Fibonacci words. Further, we give a generalization of the Fibonacci words using the hyperbolic Pascal triangles. The geometrical properties of a HPT 4,q imply a graph structure between the finite Fibonacci words.

Open access

László Németh and László Szalay

Abstract

In this paper, we describe a method to determine the power sum of the elements of the rows in the hyperbolic Pascal triangles corresponding to –4, q} with q ≥ 5. The method is based on the theory of linear recurrences, and the results are demonstrated by evaluating the kth power sum in the range 2 ≤ k ≤ 11.

Open access

Krisztián Gueth, Tamás Herendi, László Németh and László Szalay

Abstract

This volume contains papers originally presented or inspired by the Fifth International Conference on Uniform Distribution Theory which was held in Sopron, Hungary, July 5-8, 2016.

Open access

László Szabó, Klára Kubovicsné Stocz, Laura Szabó, Sándor Németh and Ferenc Szeifert

Abstract

In this simulation study the operation of a naphtha redistillation column (a column with two feeds and three products) was analyzed with the application of Aspen HYSYS® software. The simulator, structure of local controllers and the product-quality estimators were based on the data of an industrial column in the Danube Refinery. The aim of the analysis was to identify the dynamic and steady-state effects of heating and cooling as well as the sidestream of product qualities. The relationship between the tray temperatures and the quality of the products was also identified and inferential calculations were made. Based on the identified relationships, a twolevel hierarchical control structure was developed. On the lowest level of the hierarchy are the local controllers of flowrates, liquid levels, pressure and duty. The inferential calculations are important components of the controller which serve as the controlled variables at the coordination level. The inputs of the estimators are the process data of the column, e.g. temperature, pressure and flowrate. On the top level of the control hierarchical structure the quality of the products are controlled by manipulating the setpoint of the local controllers. Based on the analysis of the Controlled Variable – Manipulated Variable relationship, closed-loop quality control was achieved with PID controllers. The result of the analysis may form the basis of Advanced Process Controller implementation.

Open access

András Zsolt Kovács and László Németh

Abstract

The Mental Rotation Test (MRT) is one of the tests to survey the spatial ability. In this article we make an attempt to measure the spatial abilities of the students of wood industrial engineering and industrial design engineering of the Simonyi Károly Faculty of Engineering, Wood Sciences and Applied Arts (SKF for short) of the University of West Hungary and compare the results with the architects students of the Ybl Miklós Faculty of Architecture and Civil Engineering of the Szent István University. The paper aims to compare the results with respect to the scores and mainly the improvement based on new examination aspects. The article concludes that the small differences in the students’ developments of spatial ability in the two institutions can be caused by the difference in Descriptive Geometry courses

Open access

Csaba Németh, István Dalmadi, Balázs Mráz, László Friedrich, Klára Pásztor-Huszár, Ágnes Suhajda, Béla Janzsó and Csaba Balla

Study of Long Term Post-Treatment of Whole Egg Powder at 50-55°C

In our experiment whole egg powder samples (infected with Salmonella Enteritidis for microbiological tests) were treated at 50.38-54.62°C for 6.41-24.09 h and tested for decrease in Salmonella count or changes in their solubility and colour. Central Composite Rotational Design (CCRD) was used in our tests. In all tests performed within the testing range we achieved a decrease in Salmonella count of at least 5 magnitudes and in cases when the samples were treated at min. 52.5°C for at least 9 h no viable Salmonella could be detected in the whole egg samples at the end of treatments. Our measurements have shown that deterioration of solubility and discolouration was significantly affected only by the temperature change (p<0.05).

Open access

Cs. Németh, L. A. Castillo, F. Horváth, I. Zeke, L. Friedrich, Cs. Balla, Z. Németh and P. Póti

Abstract

There are numerous new technologies whose implementation in food industry is hampered by the fact that people hesitate to invest in expensive systems which they cannot be sure will work or at least are questionable in terms of a given product. Until recently, preservation by HHP, high hydrostatic pressure, was such a technology, and still is today in some branches of the food industry. Investigations were conducted to answer the question of whether the literature, the laboratory, and the industrial (or at least pilot plant) measurements and results agree with one another. We compared the literature data with two HHP systems which were significantly different in terms of treatment capacity, but their efficiency in killing microbes was studied under the same treatment parameters. Our results show that in nearly all cases only minimal differences exist between the data in the literature and the measurements taken on the two appliances.

Open access

József Gyurácz, Péter Bánhidi, József Góczán, Péter Illés, Sándor Kalmár, Péter Koszorús, Zoltán Lukács, Csaba Németh and László Varga

Abstract

The fieldwork, i.e. catching and ringing birds using mist-nets, was conducted at Tömörd Bird Ringing Station in western Hungary during the post-breeding migration seasons in 1998-2016. Altogether, 106,480 individuals of 133 species were ringed at the station. The aim of this paper was to publish basic information on passerine migration at this site. Migration phenology was described through annual and daily capture frequencies. Furthermore, we provide the median date of the passage, the date of the earliest or latest capture, the peak migration season within the study period, and the countries where the birds monitored at the site were ringed or recovered abroad. To compare the catching dynamics for the fifty species with total captures greater than 200, a reference period was defined: from 5 Aug. to 5 Nov. 2001-2016. Some non-passerines that are more easily caught with mist-nets or that are caught occasionally were listed as well. The two superdominant species, the European Robin and the Eurasian Blackcap, with 14,377 and 13,926 total captures, made up 27% of all ringed individuals. Among the fifty species analysed, there were ten species with a decreasing trend, five species with an increasing trend and thirty-five species with a stable (or uncertain) trend in their numbers from 2001 to 2016. The temporal pattern of migration of long-distance migrants was different from that of the medium- and short-distance migratory species.

Open access

Viliam Nagy, Gábor Milics, Norbert Smuk, Attila József Kovács, István Balla, Márton Jolánkai, József Deákvári, Kornél D. Szalay, László Fenyvesi, Vlasta Štekauerová, Zoltán Wilhelm, Kálmán Rajkai, Tamás Németh and Miklós Neményi

Abstract

A soil moisture content map is important for providing information about the distribution of moisture in a given area. Moisture content directly influences agricultural yield thus it is crucial to have accurate and reliable information about moisture distribution and content in the field. Since soil is a porous medium modified generalized Archie’s equation provides the basic formula to calculate moisture content data based on measured ECa. In this study we aimed to find a more accurate and cost effective method for measuring moisture content than manual field sampling. Locations of 25 sampling points were chosen from our research field as a reference. We assumed that soil moisture content could be calculated by measuring apparent electrical conductivity (ECa) using the Veris-3100 on-the-go soil mapping tool. Statistical analysis was carried out on the 10.791 ECa raw data in order to filter the outliers. The applied statistical method was ±1.5 interquartile (IRQ) distance approach. The visualization of soil moisture distribution within the experimental field was carried out by means of ArcGIS/ArcMAP using the inverse distance weighting interpolation method. In the investigated 25 sampling points, coefficient of determination between calculated volumetric moisture content data and measured ECa was R2 = 0.87. According to our results, volumetric moisture content can be mapped by applying ECa measurements in these particular soil types.