Minimum number of affine simplexes of given dimension

In this paper we formulate and solve extremal problems in the Euclidean space Rd and further in hypergraphs, originating from problems in stoichiometry and elementary linear algebra. The notion of affine simplex is the bridge between the original problems and the presented extremal theorem on set systems. As a sample corollary, it follows that if no triple is collinear in a set S of n points in R3, then S contains at least fenced(frac(n, 4)) - c n3 affine simplices for some constant c. A function related to Sperner's Theorem and its well-known extension to reciprocal sums is also considered and its relation to Turán's hypergraph problems is discussed. © 2014 Elsevier B.V. All rights reserved

Modeling and Calculation of the Global Solar Irradiance on Slopes

The first step with regard to a simple model of a Photovoltaic Power Plant is developed in this paper based on astronomical and engineering principles. A solar irradiance model is presented in this paper that can be used to forecast the solar energy a surface on Earth is exposed to. The obtained model is verified against engineering expectations. The developed model can serve as a basis for forecasting the power of solar energy

New Complex Military and Civil UAV/RPA Classification System for Registration, Administrative Purposes, and Special Operation Preparation = Új komplex katonai és polgári UAV/RPA osztályozási rendszer regisztrációs és közigazgatási célú felhasználáshoz, valamint különleges műveletek előkészítéséhez

In addition to the existing different UAV classification terms (e.g. NATO JAPCC, UVSI, US ARMY, EASA, CAA, etc.), the article deals with the necessity and possibilities of creating a new, more sophisticated and unified classification system, combined with a high security labelling system that provides a more professional registry of UAVs (both civilian and military). Based on the new unique code system, it is possible to clearly identify the most essential properties and specification data (e.g. payload, armaments, hanging points, sensors, range, endurance, speed and altitude ranges, weather minimums, etc.), nature of use (e.g. military recon/assault, SAR, agriculture, law enforcement, recreation, hobby, commercial, etc.), type of flight modes, risk level (combined with accident statistics), cost of the unit, VIN, etc. It also helps the efficient work of law enforcement agencies/authorities to check the lawfulness of UAV operation onsite (database contains photos, insurance status and other detailed information), avoiding corrupt identification of the unit. A cikkben megvizsgáljuk egy új, a jelenleg használatos (NATO JAPCC, UVSI, U.S. ARMY, EASA, CAA stb.) pilóta nélküli légi járművek osztályozási rendszerénél kifinomultabb, részletesebb egységesített osztályozási rendszer létrehozásának szükségességét és lehetőségeit, amelyet kombinálunk egy magas biztonsági fokozatú RFID alapú jelölőrendszerrel, amely lehetővé teszi a polgári és katonai UAV-k professzionális szintű regisztrációját. Az új egyedi kódrendszer alapján lehetőség kínálkozik a légi járművek legfontosabb tulajdonságainak és paramétereinek (pl. hasznos terhelhetőség, fegyverzet, függesztőpontok, szenzorok, hatósugár és hatótávolság, sebesség- és magasságtartományok, időjárási minimumok stb.), a felhasználás jellegének (pl. légi felderítő/harcászati, kutató-mentő, katasztrófavédelmi, mezőgazdasági, rendészeti, rekreációs, hobby, kereskedelmi, ipari stb.), a repülési módok, a kockázati szint (baleseti statisztikával), az egységár, azonosítószám stb. gyors meghatározására, azonosítására, valamint a központi adatbázisból ezen szempontok alapján történő leválogatásra is. E rendszer segíti az igazgatásrendészeti és hatósági munkát, a helyszíni ellenőrzések során megállapíthatóvá válik az üzemben tartás és üzemeltetés jogszerűsége (az online adatbázis tartalmaz fotót, biztosítási és egyéb fontos státuszokat stb.), valamint meggátolja az egyedi azonosítóval történő visszaélést is

Comparison of Interpolation Methods: for Predicting the Vapour Pressure of Aqueous Glycerol Solutions

Several general mathematical methods for approximating two variable functions are applied for the study of the temperature - concentration - vapour pressure relation of aqueous glycerol solutions. The general prope rties of the applied methods are also discussed for possible other applications

Hybrid time-quality-cost trade-off problems

Agile and hybrid project management has become increasingly popular among practitioners, particularly in the IT sector. In contrast to the theoretically and algorithmically well-established and developed time-cost and time-quality-cost project management methods, agile and hybrid project management lacks a principle foundation and algorithmic treatment. The aim of this paper is to fill this gap. We propose a matrix-based method that provides scores for alternative project plans that host flexible task dependencies and undecided, supplementary task completion while also covering traditional time-quality-cost trade-off problems. The proposed method can bridge the agile and traditional approaches

3D Visualization of a Case-Based Distance Model

Regarding to the conveyance of materials the assignment of stock-keeping units (SKUs) is one of the most important tasks in a warehouse. The units in the interest of their easier handling can be sorted into groups. To classifying SKUs the most frequently used method is the ABC analysis. The traditional approach implements a simplified scheme, which is mostly based on annual dollar usage. Classifying units according to one characteristic can lead to rushed result, because the assignment of stock-keeping units might be influenced by other factors, like number of orders, weight or lead time. In recent years a number of decision models have been developed in order to make it possible to consider more than one criterion in the same time. In general, in the case of representing a model the introduction of the algorithm is more preferable than the visualization of data. However the visualization of results can relieve the comprehension of the given problem and the way, how the model works, even in relation to sorting problems. The aim of this research is to introduce a plotting method which visualizes the results coming from the Case-based distance model developed by Chen, Kilgour and Hipel. This method stregthens the classification by providing separating nonlinear surfaces. Keywords: Case-based Distance Model, Inventory Management, Visualization