This document is a guide to help troubleshoot problems that might arise with applications that are developed using the Sun Microsystems Inc. release of Java Platform, Standard Edition 6 (JDK 6 release or Java SE 6 release). In particular, this guide addresses possible problems between the applications and the Java HotSpot virtual machine. The document provides a description of the tools, command line options, and other help in analyzing a problem. The document also provides guidance on how to approach some general issues such as a crash, hang, or memory resource issues. Finally, the document provides direction for data collection and bug report preparation.
Math can be terrifying for many people. This lists will hopefully improve your general knowledge of mathematical tricks and your speed when you need to do math in your head.