Physical Sciences and Mathematics Commons^™

Logic And Rationality, Rohit J. Parikh

Publications and Research

Logic aims at truth, or more accurately, at deriving some truths from other truths. But why are we interested in truth in the first place? Surely one reason is that relying on truth makes it easier to make better choices.

One could think of Game theory as a tool which bridges the gap between logic and rationality.

Decision theory - or single agent game theory tells us when to make the best choice in a game of us against nature. But nature has no desire to further or frustrate our efforts. Nature is mysterious but not malign. Things change when …

Number Theoretic Arithmetic Functions And Dirichlet Series, Ivan V. Morozov

Publications and Research

In this study, we will study number theoretic functions and their associated Dirichlet series. This study lay the foundation for deep research that has applications in cryptography and theoretical studies. Our work will expand known results and venture into the complex plane.

Mth 50 Syllabus, Koby Kohulan

Open Educational Resources

No abstract provided.

A Result In The Theory Of Twin Primes, Nelson Carella

Publications and Research

This article determines a lower bound for the number of twin primes $p$ and $p+2$ up to a large number $x$.

Electromagnetic Theory And Applications, Nicholas Madamopoulos, George Kliros

Open Educational Resources

This book intends to provide both the fundamentals of Electromagnetics but also some practical applications of the concepts covered. Having taught electromagnetics for several years, the authors feel that many times the field of electromagnetics comes as “old” and often times students do not appreciate the concepts and their importance in everyday applications. The authors intend to accompany the EM concepts with life applications. Hence, students may see the direct impact of the knowledge they acquire through the study of the field of electromagnetics and better appreciate the field.

Combinatorics Syllabus, Tugce Ozdemir

Open Educational Resources

No abstract provided.

The Water, Ji Kim

Open Educational Resources

Water is everywhere, thus, we tend to take it for granted. However, access to clean water has been inequitable; climate change is threatening the sea water level, causing the acidification of ocean water. In this project, we will investigate the environmental and social issues related to clean water and its impacts on our life by reading articles, watching videos, and exploring activities.

Csc 71010/Csci 77100: Programming Languages/Software Engineering, Raffi T. Khatchadourian

Open Educational Resources

No abstract provided.

Introduction, Raffi T. Khatchadourian

Open Educational Resources

No abstract provided.

Reengineering And Refactoring, Raffi T. Khatchadourian

Open Educational Resources

No abstract provided.

Wala Quick Start, Raffi T. Khatchadourian

Open Educational Resources

Setting up and trying the TJ Watson Library for Analysis (WALA).

Building An Ast Eclipse Plug-In, Raffi T. Khatchadourian

Open Educational Resources

Complete the Building an AST Eclipse Plug-in assignment. Once it works, find a medium-sized open-source Java project to run your plugin on. You may want to explore GitHub. Import the project into Eclipse and run your plug-in on it. Report on the following, which may require you to change some of the source code so that it is convenient:

1. Project name.
2. Project URL.
3. Project description.
4. The number of classes in the project.
5. The number of user-defined methods in the project.
6. For each class, the number of method calls.
7. Statistics about the method calls:
   1. The total number of method calls …

Working With Control-Flow Graphs, Raffi T. Khatchadourian

Open Educational Resources

No abstract provided.

Models For Decision-Making - Second Edition, Steven Cosares, Fred Rispoli

Open Educational Resources

Decision-Making often refers to a multi-stage process that starts with some form of introspection or reflection about a situation in which a person or group of people find themselves. These ruminations usually lead to series of questions that need to be answered, or to a set of data that needs to be collected and analyzed, or to some calculations that need to be performed before someone can be in a position to make informed decisions and take appropriate actions.

We provide some simple examples of Quantitative Models, which are often found in a decision-making situation. We focus on the use …

Review Java Basics In 2 Weeks (Slides), Shoshana Marcus

Open Educational Resources

No abstract provided.

Cp6200 Javaprogramming2 Oer - Oop Assignment - Item And Shopping Cart Classes, Shoshana Marcus

Open Educational Resources

No abstract provided.

Astr 1: General Astronomy, David Goldberg

Open Educational Resources

No abstract provided.

Phys 275: Intro To Scientific Computing, David Goldberg

Open Educational Resources

No abstract provided.

Math 301: Abstract Algebra I, Nicholas Vlamis

Open Educational Resources

No abstract provided.

R-Symmetries And Curvature Constraints In A-Twisted Heterotic Landau–Ginzburg Models, Richard S. Garavuso

Publications and Research

In this paper, we discuss various aspects of a class of A-twisted heterotic Landau–Ginzburg models on a Kähler variety X. We provide a classification of the R-symmetries in these models which allow the A-twist to be implemented, focusing on the case in which the gauge bundle is either a deformation of the tangent bundle of X or a deformation of a sub-bundle of the tangent bundle of X. Some anomaly-free examples are provided. The curvature constraint imposed by supersymmetry in these models when the superpotential is not holomorphic is reviewed. Constraints of this nature have been used to establish properties …

Impact Melt Rocks From The Late Paleocene Hiawatha Impact Structure, Northwest Greenland, William R. Hyde, Adam A. Garde, Nynke Keulen, Sebastian N. Malkki, Steven J. Jaret, Tod Waight, Pierre Beck, Iain Mcdonald, Nicolaj K. Larsen

Publications and Research

Impact melt rocks formed during hypervelocity impact events are ideal for studying impact structures. Here, we describe impact melt rock samples collected proximal to the 31 km wide 58 Ma Hiawatha impact structure, northwest Greenland, which is completely covered by the Greenland Ice Sheet. The melt rocks contain diagnostic shock indicators (e.g., planar deformation features [PDF] in quartz and shocked zircon) and form three groups based on melt textures and chemistry: (i) hypocrystalline, (ii) glassy, and (iii) carbonate-based melt rocks. The exposed foreland directly in front of the structure consists of metasedimentary successions and igneous plutons; however, the carbonate-based impactites …

Cp 6200 Java Programming 2 Syllabus (Oer), Shoshana Marcus

Open Educational Resources

No abstract provided.

Cp6200 Javaprogramming2 Oer - Oop Course Project, Shoshana Marcus

Open Educational Resources

No abstract provided.

Perspectives On Determinism In Quantum Mechanics: Born, Bohm, And The “Quantal Newtonian” Laws, Viraht Sahni

Publications and Research

Quantum mechanics has a deterministic Schrödinger equation for the wave function. The Göttingen–Copenhagen statistical interpretation is based on the Born Rule that interprets the wave function as a “probability amplitude.” A precept of this interpretation is the lack of determinism in quantum mechanics. The Bohm interpretation is that the wave function is a source of a field experienced by the electrons, thereby attributing determinism to quantum theory. In this paper, we present a new perspective on such determinism. The ideas are based on the equations of motion or “Quantal Newtonian” Laws obeyed by each electron. These Laws, derived from …

Classical Mechanics, Mark D. Shattuck

Open Educational Resources

Syllabus for Classical Mechanics

Coupled Spherical-Cavities, Stanislav Kreps, Vladimir Shuvayev, Mark Douvidzon, Baheej Bathish, Tom Lenkiewicz Abudi, Amirreza Ghaznavi, Jie Xu, Yang Lin, Lev Deych, Tal Carmon

Publications and Research

In this work, we study theoretically and experimentally optical modes of photonic molecules—clusters of optically coupled spherical resonators. Unlike previous studies, we do not use stems to hold spheres in their positions relying, instead on optical tweezers to maintain desired structures. The modes of the coupled resonators are excited using a tapered fiber and are observed as resonances with a quality factor as high as 107. Using the fluorescent mapping technique, we observe families of coupled modes with similar spatial and spectral shapes repeating every free spectral range (a spectral separation between adjacent resonances of individual spheres). Experimental results are …

Sea Level Rising And Its Impact On Nyc, Angela Knafo, Jeff Mao, Andray Whyte, Filip Valencin, Erick Humala, Jubran Alawdi, Jonathan Carangui

Publications and Research

Climate change is not only about the rising temperatures, which is usually the most discussed topic in news, but it also involves other Earth sciences like hydrology, oceanography and other parts of meteorology In our poster we are focusing on sea level rising and its impact on NYC, and how people could mitigate and adapt to it

The Living Breakwaters Pdr Efforts Econcrete Resource Analysis, Guianina Ferrari, Shervon Stephens, Calvin O. Walters Jr.

Publications and Research

On October 29, 2012, Superstorm Sandy impacted 443,000 people and caused nearly $19 billion (about $58 per person in the US) worth of damage within New York City. As part of the New York City infrastructure reparation plan, the Living Breakwaters project in Tottenville addressed coastal resilience, allocating $100M of public funds to a series of artificial breakwaters by the southwest coast of Staten Island. Each breakwater is constructed and designed to mitigate water flow in storm events. ECOncrete, a primary element of the breakwater, is a specialty cast cementitious product that is marine organism-friendly that encourages biocalcification and photosynthesis. …

Natural Language Processing For Disaster Tweets, Akinyemi D. Apampa, Nan Li

Publications and Research

Our goal is to establish an automatic model that identifies which tweets are about natural disasters based on the content of the tweets. Our method is to construct a decision tree based on keyword searching. We will construct the model using 7,645 tweets and test our model on 3,465 tweets as an assessment of the performance.

From Computer Curriculum That Works For The Use Of Computer Intellignece Computer Science, Malachi B. Bacchus

Publications and Research

Computer interconnection can link different networks by using electrical artificial flow ways that can travel through different connections. these are called data network which travels through different sectors of the network simulation of service computer network using artificial intelligence to enhanced further understanding the computations, I've also demonstrated knowing by using the network to get better understanding of how ethical computing can be learned through universities and collegiate that can help established knowledge and healthy computer information. The main tools for the research are using data networking, ethical learning and translation towards different computer systems.