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Articles 1 - 4 of 4
Full-Text Articles in Physical Sciences and Mathematics
Quantifying The Effect Of The Shift In Major League Baseball, Christopher John Hawke Jr.
Quantifying The Effect Of The Shift In Major League Baseball, Christopher John Hawke Jr.
Senior Projects Spring 2017
Baseball is a very strategic and abstract game, but the baseball world is strangely obsessed with statistics. Modern mainstream statisticians often study offensive data, such as batting average or on-base percentage, in order to evaluate player performance. However, this project observes the game from the opposite perspective: the defensive side of the game. In hopes of analyzing the game from a more concrete perspective, countless mathemeticians - most famously, Bill James - have developed numerous statistical models based on real life data of Major League Baseball (MLB) players. Large numbers of metrics go into these models, but what this project …
The Expectation For The Center Of Mass Of Finite Integer Grids, Finnegan Maximilan Muller Hardy
The Expectation For The Center Of Mass Of Finite Integer Grids, Finnegan Maximilan Muller Hardy
Senior Projects Spring 2017
Senior Project submitted to The Division of Science, Mathematics and Computing of Bard College.
Modeling Purple Sea Urchin And California Sheephead Populations In Southern California Kelp Forests, Olivia Rachel Williams
Modeling Purple Sea Urchin And California Sheephead Populations In Southern California Kelp Forests, Olivia Rachel Williams
Senior Projects Spring 2017
In this project I am modelling the predator-prey relationship between California sheephead and purple sea urchin populations, respectively, in kelp forests off the coast of southern California. The Lotka-Volterra equations explain predator-prey relationships in their most basic form. These equations incorporate a set of biological assumptions that can be unrepresentative of many ecological systems. I will consider alternate models that incorporate variations of the Lotka-Volterra model which may better represent the biology of the purple sea urchins and California sheephead. Using biological characteristics of both species in kelp forests, I will set possible and likely parameters and solve for unknown …
From Random To Organized: The Architecture Of Neural Networks During Development, Avery Isabella Morris
From Random To Organized: The Architecture Of Neural Networks During Development, Avery Isabella Morris
Senior Projects Fall 2017
The brain is constantly changing during development as a result of various stimuli: memories, language, visual patterns and other sensory information. As a result, networks need to have specific learning rules to function being both plastic and stable. In this project, I’ve constructed a mathematical model based on a biological neural network during development. I’ve written differential equations to describe these specific learning rules as well as methods of visual input to the network. I’ve changed my model, using Euler’s method, to create a discrete-time version of this biological phenomenon to implement on the computer. I’ve successfully coded this, using …