Volume 2,no. 2 Spring 2015

Analog Dialogue Volume 49, Number 2, 2015

Real-Analysis notes, Spring 2015

Sets are fundamental objects in mathematics. The main focus is the membership of sets. Everything in mathematics can be built on sets (and logic). Basic operations: the intersection A ∩B, the union A ∪B, the complement A and the relative complement A\B. Relations between elements and sets: belong to x ∈ A, not belong to x / ∈ A. Relations between sets: subset A ⊆ B, proper subset A ( B. Sets ca...

Cs251 Spring 2015 Lecture 12

1 Probability distribution functions Probability distribution functions assign probabilities to each of the possible outcomes of a random experiment. These distributions can be continuous (e.g. grading on a 4.0 scale), or discrete (e.g. grading with letter grades) (see Fig. 2). Figure 1: Terminology for continuous and discrete probability distributions. A probability distribution function speci...

COMS 4771 Spring 2015 Features

In many applications, no linear classifier over the “raw” set of features will perfectly separate the data. One recourse is to find additional features that are predictive of the label. This is called feature engineering, and is often a substantial part of the job of a machine learning practitioner. In some applications, it is possible to “throw in the kitchen sink”—i.e., include all possible f...

Mechanics: The well-spring of mathematics (volume 2)

Preface Mechanics: The well-spring of mathematics (volume 2) This volume contains a set of papers in mathematical and numerical analysis; the common theme to all the papers in the volume is their relevance to applications to problems in mechanics. The volume contains papers by experts in the field of mathematical analysis and achieves a good balance between papers devoted to analytical and nume...