In what case do you like reading so much? What about the type of the computer supported cooperative work in design iii 10th international conference cscwd 2006 nanjing china may 3 5 2006 revised selected papers lecture notes in computer science book? The needs to read? Well, everybody has their own reason why should read some books. Mostly, it will relate to their necessity to get knowledge fro...

OBJECTIVES To evaluate students' perception towards the problem based learning (PBL) session in a system-based hybrid curriculum. METHODS We conducted a cross-sectional study in the College of Medicine, King Saud University, Saudi Arabia at the end of the 2012-2013 academic year. The survey questionnaire was self-administered, and examined perceptions of PBL session benefits, appropriate runn...

In our report on the first “Derived Category Methods in Commutative Algebra” workshop (2008) we wrote: “Derived category methods have proved to be very successful in ring theory, in particular in commutative algebra. Evidence is provided by [1, 8, 4, 5, 6, 7, 11, 12, 15, 16, 19, 20, 23, 24, 27], to list some work of considerable importance. Surprisingly, there is no accessible introduction or r...

We will have two main characters in these notes: the maximum principle and the sliding method. The latter has a twin, the moving plane method – they are often so indistinguishable that we will count them as one character. They will be introduced separately, and then blended together to prove the symmetry properties of the solutions of elliptic equations. In this introductory section, we recall ...

Certain Hopf algebras arise in combinatorics because they have bases naturally parametrized by combinatorial objects (partitions, compositions, permutations, tableaux, graphs, trees, posets, polytopes, etc). The rigidity in the structure of a Hopf algebra can lead to enlightening proofs, and many interesting invariants of combinatorial objects turn out to be evaluations of Hopf morphisms. These...

We compared the effects of guided lecture notes versus completed lecture notes on pre- to postlecture improvements in quiz performance across two sections of a college course. The results of a counterbalanced multielement design did not reveal consistent differences between the two note formats on students' mean quiz scores. However, fewer errors occurred on complex (analysis-level) quiz questi...

This is the set of lecture notes for Math 117 during Fall quarter of 2017 at UC Santa Barbara. The lectures follow closely the textbook [1].

There are some puzzles about Gödel’s published and unpublished remarks concerning finitism that have led some commentators to believe that his conception of it was unstable, that he oscillated back and forth between different accounts of it. I want to discuss these puzzles and argue that, on the contrary, Gödel’s writings represent a smooth evolution, with just one rather small double-reversal,...