Now showing items 1-10 of 76
A Computational Introduction to Number Theory and Algebra
(Cambridge University Press, 2008)
Chapter 1: Basic properties of the integers. Chapter 2: Congruences. Chapter 3: Computing with large integers. Chapter 4: Euclid’s algorithm. Chapter 5: The distribution of primes. Chapter 6: Abelian groups. Chapter 7: ...
Applied Discrete Structures
(University of Massachusetts Lowell, 2013)
Chapter 1: Set Theory. Chapter 2: Combinatorics. Chapter 3: Logic. Chapter 4: More on Sets. Chapter 5: Introduction to Matrix Algebra. Chapter 6: Relations and Graphs. Chapter 7: Functions. Chapter 8: Recursion and Recurrence ...
In the mood the dynamics of collective sentiments on Twitter
We study the relationship between the sentiment levels of Twitter users and the evolving network structure that the users created by @-mentioning each other. We use a large dataset of tweets to which we apply three sentiment ...
(Grand Valley State University, 2015)
Chapter 1: Understanding the Derivative. Chapter 2: Computing Derivatives. Chapter 3: Using Derivatives. Chapter 4: The Definite Integral. Chapter 5: Finding Antiderivatives and Evaluating Integrals. Chapter 6: Using ...
Abstract Algebra: Theory and Applications
(Stephen F. Austin State University, 2014)
Preliminaries. The Integers. Groups. Cyclic Groups. Permutation Groups. Cosets and Lagrange’s Theorem. Introduction to Cryptography. Algebraic Coding Theory. Isomorphisms. Normal Subgroups and Factor Groups. Homomorphisms. ...
Book of Proof
(Virginia Commonwealth University, 2012)
Chapter 1: Fundamentals. Chapter 2: How to Prove Conditional Statements. Chapter 3: More on Proof. Chapter 4: Relations, Functions and Cardinality.
Basic Analysis: Introduction to Real Analysis
(Jiˇrí Lebl, 2016)
Introduction. Chapter 1. Real Numbers. Chapter 2. Sequences and Series. Chapter 3. Continuous Functions. Chapter 4. The Derivative. Chapter 5. The Riemann Integral. Cjhapter 6. Sequences of Functions. Chapter 7: Metric ...
The mechanics of hyperactivation in adhered human sperm
Hyperactivation is an important phenomenon exhibited by mammalian sperm during the process of acquiring fertilization capacity. The majority of studies have focused on incubation-induced hyperactivation in non-human species, ...
The duality of spatial death birth and birth death processes and limitations of the isothermal theorem
Evolutionary models on graphs, as an extension of the Moran process, have two major implementations: birth–death (BD) models (or the invasion process) and death–birth (DB) models (or voter models). The isothermal theorem ...
Nonlinear neutral inclusions
The problem of determining nonlinear neutral inclusions in (electrical or thermal) conductivity is considered. Neutral inclusions, inserted in a matrix containing a uniform applied electric field, do not disturb the field ...