On the Application of Inequalities Containing Sums of Minimum/Maximum of Numbers
Retail inventory management is a crucial part of many businesses due to the high profit associated with it as well as the uncertainty around it, especially for industries with short production cycles and a complex supply chain.Proper management ofretail inventories can lead to decreased inventory costs, prevent spoilage and obsoles- cence, and improve customer satisfaction, all of which lead to increased profits for the company.Inthispaper,wefirstproposeextendingawell-knowninequalityandtry to generalize it to other conditions and similar inequalities.The inequality involves multiple variables and how the maximum/minimum values of a subset of the numbers compare to the maximum/minimum values of the whole set of numbers.Our main contribution is applying such inequality in inventory management to help estimate the total cost of inventory management, which would allow us to determine the shutdown pointforaspecificcompanyusingthegeneralizationsoftheinequality.Lastly,weshow thatourestimatesarereasonableandproposesomefutureareaswheremoreworkcan be done.
HandExo
Stroke is a very common disease, almost a national disease. In terms of stroke frequency, 匈牙利 ranks second in the world. Every year, 40-50 thousand people become paralyzed or permanently injured as a result of cerebrovascular disorders. This number is three to four times higher than in developed countries. Almost every Hungarian family is affected! Of course, saving the life of someone who has a stroke is the most important thing, but rehabilitation is also very important, since only with the help of a physiotherapist will the patient be able to live a full life.
Inclined Sedimentation of Suspensions: Theoretical and Experimental Investigation into the Boycott Effect
The Boycott Effect is a phenomenon where sedimentation rate can be increased by tilting the container which holds the suspension, making it a way to increase the efficiency of the process without additional energy input. This makes the Boycott Effect valuable in speeding up and optimising a multitude of industrial applications such as wastewater management and food processing, all of which employ sedimentation to separate particulate matter from the fluids in which they are suspended in. Thus, it is imperative to model the Boycott Effect accurately for a wide range of cases, including arbitrary shaped containers and suspensions of various concentrations without the need to run costly, computationally expensive numerical simulations. In this project I investigated the inclined sedimentation of suspensions both theoretically and experimentally. Experimentally, two image tracking programs were created and tested out on my own experimental videos. I demonstrated the use of a novel method for making use of the Beer-Lambert Law to optically keep track of local concentration of suspensions. This method allows more information to be gathered about the sedimentation process in a very low-cost, non-equipment intensive or invasive way. Theoretically, I expanded upon the well-known analytical 2D PNK theory by accounting for concentration-hindering and sediment build-up effects, as well as the geometrical theory for 3D cylindrical geometries. All parts of the theoretical model were verified with experimental data and shown to have good agreement. (233 words)
Design of a new Hydrogen Fueled Hybrid Car Prototype
The proposed project involves a new water-fueled hybrid car prototype that integrates various technologies, including photovoltaic (PV) panels, electrolysis, a fuel cell, a metal hydride tank, and a battery. The car is equipped with PV panels on its surface, such as the roof or hood, which convert solar energy into electricity. This electricity powers a DC motor that propels the vehicle. Excess electricity can be stored in a battery or used in an electrolysis system to split water into hydrogen and oxygen. The hydrogen is stored in a metal hydride tank for later use. Metal hydrides are materials capable of absorbing and releasing hydrogen gas, providing a safe and compact storage solution. The fuel cell converts hydrogen into electricity to power the DC motor when sunlight is not available. This hybrid system allows for direct solar-powered operation while also storing excess energy as hydrogen. Experimental tests were conducted on a prototype of this water-fueled car, with the fuel cell serving as a backup power source to ensure continuous operation even without solar energy. This concept offers several advantages, including the use of renewable solar energy, zero emissions during fuel cell operation, and the ability to store and utilize excess energy.