National Air and Space Museum: How Things Fly. Point-Line Distance--3-Dimensional. Weierstrass functions. Weierstrass functions are famous for being continuous everywhere, but differentiable "nowhere". 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. 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. Pet_t MyFavoritePet ; 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[edit] Euclidean geometry, foundations[edit] Euclidean plane geometry[edit] 3-dimensional Euclidean geometry (solid geometry)[edit] n-dimensional Euclidean geometry[edit] Other Geometries (Not Euclidean)[edit] Numerical geometry[edit] Geometric algorithms[edit] Mathematical morphology[edit] Minkowski addition Generalizations[edit] Various[edit] Applications[edit] See also[edit] Mathematics. List of computer graphics and descriptive geometry topics. Log In - Computational Science - Stack Exchange. Numerical Analysis for Engineering | Department of Electrical and Computer Engineering | University of Waterloo.