# Gallery — Math

Gallery Items tagged Math

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LEYES DE NEWTON
Preinforme guia de laboratorio L4.
Yeimi Johana Blanco Santos
standaard hw
hoi
Joris van der Hijden
CTQs
Math homework for Accelerated Math students in Howard County, Critical Thinking Questions.
Newton's Method Cycles
Based on the paper Sometimes Newton's Method Cycles, we first asked ourselves if there were any Newtonian Method Cycle functions which have non-trivial guesses. We encountered a way to create functions that cycle between a set number of points with any initial, non-trivial guesses when Newton's Method is applied. We exercised these possibilities through the methods of 2-cycles, 3-cycles and 4-cycles. We then generalized these cycles into k-cycles. After generalizing Newton's Method, we found the conditions that skew the cycles into a spiral pattern which will either converge, diverge or become a near-cycle. Once we obtained all this information, we explored additional questions that rose up from our initial exploration of Newton's Method.
Edgara Vanoye & MacKay Martin
The Parallelization and Optimization of the N-Body Problem using OpenMP and Cuda
This research paper aims at exploiting efficient ways of implementing the N-Body problem. The N-Body problem, in the field of physics, predicts the movements and planets and their gravitational interactions. In this paper, the efficient execution of heavy computational work through usage of different cores in CPU and GPU is looked into; achieved by integrating the OpenMP parallelization API and the Nvidia CUDA into the code. The paper also aims at performance analysis of various algorithms used to solve the same problem. This research not only aids as an alternative to complex simulations but also for bigger data that requires work distribution and computationally expensive procedures.
Tushaar Gangarapu
Estudio del proceso termodinámico en una máquina de expreso
Estudio de los procesos termodinámicos que conllevan una máquina de expreso. Se utiliza solo agua, sin el filtro de café para utilizar solo la densidad del agua. Se encuentra que es similar a un proceso de Carnot, pero como un ciclo abierto.
Luis Alberto González José
Tensegrities
Dit project over tensegrities past in het thema van de Nacht van de Toren jaargang 2016. Tijdens deze openschoolnacht draait alles rond evenwicht. Tensegrities (in het Nederlands: houtje-touwtje-constructies) zijn composities met zwevende houten staafjes die elkaar niet raken maar die toch in evenwicht blijven door de gepaste trekspanning in de verbindingstouwtjes. Hoewel het assortiment aan kunstzinnige tensigrities zeer groot is, focussen we ons hier slechts op het type waarbij de staafjes een eenbladige hyperboloïde (een ruimtelichaam in de vorm van een koeltoren) afbakenen.
Van den Broeck Luc
Time-Frequency Analysis and the Wavelet Transform
A brief (lets not kid ourselves its long) introduction to the continuous and discrete wavelet transforms. Comments on implementations on the computer using MATLAB and other software is also included.
ryanplestid