Here is an example of one: It is not hard to show that this series converges for all x. In fact, it is absolutely convergent. It is also an example of a fourier series, a very important and fun type of series. It can be shown that the function is continuous everywhere, yet is differentiable at no values of x. Here's a graph of the function. You can see it's pretty bumpy. Below is an animation, zooming into the graph at x=1.
Wikipedia and MathWorld both have informative entries on Weierstrass functions. back to Dr. Professor Michael Accorsi: Parachute Simulations. What Every Computer Scientist Should Know About Floating-Point Arithmetic. This appendix is an edited reprint of the paper , by David Goldberg, published in the March, 1991 issue of Computing Surveys.
Copyright 1991, Association for Computing Machinery, Inc., reprinted by permission. Abstract Floating-point arithmetic is considered an esoteric subject by many people. This is rather surprising because floating-point is ubiquitous in computer systems. Almost every language has a floating-point datatype; computers from PCs to supercomputers have floating-point accelerators; most compilers will be called upon to compile floating-point algorithms from time to time; and virtually every operating system must respond to floating-point exceptions such as overflow. Categories and Subject Descriptors: (Primary) C.0 [Computer Systems Organization]: General -- ; D.3.4 [Programming Languages]: Processors -- ; G.1.0 [Numerical Analysis]: General -- (Secondary) General Terms: Algorithms, Design, Languages Introduction Rounding Error Floating-point Formats Relative Error and Ulps.
CGNS Standard Interface Data Structures - Conventions. (CGNS Documentation Home Page) (Steering Committee Charter) (Overview and Entry-Level Document) (A User's Guide to CGNS) () (SIDS-to-ADF File Mapping Manual) (SIDS-to-HDF File Mapping Manual) (Mid-Level Library) (ADF User's Guide) (CGNS Tools and Utilities) (Introduction) (Design Philosophy of Standard Interface Data Structures) () (Building-Block Structure Definitions) (Data-Array Structure Definitions) (Hierarchical Structures) (Grid Coordinates, Elements, and Flow Solution) (Multizone Interface Connectivity) (Boundary Conditions) (Governing Flow Equations) (Time-Dependent Flow) (Miscellaneous Data Structures) (Conventions for Data-Name Identifiers) (Structured Two-Zone Flat Plate Example) Data Structure Notation Conventions The intellectual content of the CGNS database is defined in terms of C-like notation including typedefs and structures.
The database is made up of entities, and each entity has a type associated with it. [Mathematica 3.0, Wolfram Research, Inc. CGNS Standard Interface Data Structures - Conventions. List of geometry topics. From Wikipedia, the free encyclopedia This is a list of geometry topics, by Wikipedia page.
Geometric shape covers standard terms for plane shapes Types, methodologies, and terminologies of geometry Euclidean geometry, foundations Euclidean plane geometry 3-dimensional Euclidean geometry (solid geometry) n-dimensional Euclidean geometry List of computer graphics and descriptive geometry topics. Log In - Computational Science - Stack Exchange. Department of Electrical and Computer Engineering.