true true is false true or false true true same value but different objectsee the next same as or (hmmmsince you probably won' come across an expression like the last of these in real python codeyou can safely ignore any of its deeper metaphysical implications we'll revisit booleans in to define python' notion of truthand again in to see how boolean operators like and and or work numeric extensions finallyalthough python core numeric types offer plenty of power for most applicationsthere is large library of third-party open source extensions available to address more focused needs because numeric programming is popular domain for pythonyou'll find wealth of advanced tools for exampleif you need to do serious number crunchingan optional extension for python called numpy (numeric pythonprovides advanced numeric programming toolssuch as matrix data typevector processingand sophisticated computation libraries hardcore scientific programming groups at places like los alamos and nasa use python with numpy to implement the sorts of tasks they previously coded in ++fortranor matlab the combination of python and numpy is often compared to freemore flexible version of matlab--you get numpy' performanceplus the python language and its libraries because it' so advancedwe won' talk further about numpy in this book you can find additional support for advanced numeric programming in pythonincluding graphics and plotting toolsextended precision floatsstatistics librariesand the popular scipy package by searching the web also note that numpy is currently an optional extensionit doesn' come with python and must be installed separatelythough you'll probably want to do so if you care enough about this domain to look it up on the web summary this has taken tour of python' numeric object types and the operations we can apply to them along the waywe met the standard integer and floating-point typesas well as some more exotic and less commonly used types such as complex numbersdecimalsfractionsand sets we also explored python' expression syntaxtype conversionsbitwise operationsand various literal forms for coding numbers in scripts numeric types