Download Pi : a source book by Lennart Berggren; Jonathan Borwein; Peter Borwein PDF

By Lennart Berggren; Jonathan Borwein; Peter Borwein

ISBN-10: 0387989463

ISBN-13: 9780387989464

From the contents: Preface.- Acknowledgements.- Introduction.- The Rhind Mathematical Papyrus-Problem 50.- Engles. Quadrature of the Circle in historical Egypt.- Archimedes. dimension of a Circle.- Phillips. Archimedes the Numerical Analyst.- Lam & Ang. Circle Measurements in historic China.- The Banu Musa: The size of aircraft and reliable Figures.- Madhava's. the ability sequence for Arctan and Pi.- Hope-Jones. Ludolph van Ceulen.- Viete. Variorum de Revus Mathematicis Reponsorum Liber VII.- Wallis. Computation of Pi by way of Successive Interpolations.- Wallis. Arithmetica Infinitorum.- Huygens. De Circuli Magnitudine Inventa.- Gregory. Correspondence with John Collins.- Jones. the 1st Use of Pi for the Circle Ratio.- Newton. Of the tactic of Fluxions and endless Series.- Euler. bankruptcy 10 of advent to research of the Infinite.- Lambert. Memoire Sur Quelques Proprietes Remarquables Des Quantites Transcendentes Circulaires et Logarithmiques.- Lambert. Irrationality of Pi.- Shanks. Contributions to arithmetic Comprising mainly of the Rectification of the Circle to 607 areas of Decimals.- Hermite. Sur los angeles Fonction Exponentielle.- and masses extra

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Result: [u'pSphere2', u'polySphere2'] Apart from printing results, there are two important things worth noting about the previous step. First, highlighting a portion of code and then pressing Ctrl + Return will execute only the highlighted code. Second, highlighting code in this way before executing it prevents the contents of the Input Panel from emptying out. Another useful feature of the Script Editor is that it has support for marking menus. Marking menus are powerful, context-sensitive, gesture-based menus that appear throughout the Maya application.

You should see a new set of options in the bottom part of the marking menu. 4. Move your mouse over the Command Documentation option in the bottom of the marking menu and release the RMB. Maya should now open a web browser displaying the help documentation for the polySphere command. As you can see, the Script Editor is a very useful tool not only for creating and executing Python scripts in Maya, but also for quickly pulling up information about commands in your script. We will look at the command documentation later in this chapter.

Use mathematical operators with numeric types. ■ Use logical and bitwise operators with Boolean variables. ■ Use common operators with sequence types. ■ Manipulate nested lists. ■ Create Unicode and raw strings. ■ Format strings that contain variable values. ■ Compare and contrast sets and dictionaries with sequence types. In Chapter 1, we covered executing commands in Maya using Python. To do anything interesting, however, we need more tools to create programs. In this chapter we will explore some of the basics for working with variables in Python.

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