Differential Equations. Articles — CODEE. Agent-Based Fabric Modeling Using Differential Equations by Joseph Rusinko, Hannah Swan published November 25, 2012 We use an agent-based modeling software, NetLogo, to simulate fabric drape by applying a modified mass spring system.

This model provides an application of harmonic motion to textiles and fashion, fields not typically discussed in the undergraduate differential equations classroom. Euler's method is coded into the model to solve a system of ordinary differential equations describing the fabric's position over time. Our interactive NetLogo model allows students to visualize the behavior of the... Understanding Differential Equations Using Mathematica and Interactive Demonstrations by Paritosh Mokhasi, James Adduci, Devendra Kapadia The solution of differential equations using the software package Mathematica is discussed in this paper. Using the Taylor Center to Teach ODEs by Alexander Gofen published September 27, 2012 published September 14, 2012 published May 14, 2012. MathPuzzle.com.

Math Gems. Figures for "Impossible fractals". Figures for "Impossible fractals" Cameron Browne Figure 1.

Making Math Fun Download Page. The On-Line Encyclopedia of Integer Sequences® (OEIS®) Dimensions Home. A film for a wide audience!

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This week we’re going to define conventions for interval sizes and then derive three variables where we can determine the composition of any frequency ratio. Manifold. The surface of the Earth requires (at least) two charts to include every point.

Here the globe is decomposed into charts around the North and South Poles. The concept of a manifold is central to many parts of geometry and modern mathematical physics because it allows more complicated structures to be described and understood in terms of the relatively well-understood properties of Euclidean space. Manifolds naturally arise as solution sets of systems of equations and as graphs of functions. Manifolds may have additional features. Paul Nylander’s Web Site. Alan Schoen geometry. Math Help. An Engineers Quick References to Mathematics Algebra Help Math SheetThis algebra reference sheet contains the following algebraic operations addition, subtraction, multiplication, and division.

It also contains associative, commutative, and distributive properties. There are example of arithmetic operations as well as properties of exponents, radicals, inequalities, absolute values, complex numbers, logarithms, and polynomials. This sheet also contains many common factoring examples. There is a description of the quadratic equation as well as step by step instruction to complete the square.Download PDFDownload Image Geometry Math SheetThis geometry help reference sheet contains the circumference and area formulas for the following shapes: square, rectangle, circle, triangle, parallelogram, and trapezoid. Calculus Online Book. Fundamental Theorem of Calculus, proof way.

Area depsribed and proofed that integral over area works. does anyone knows explanation by common sense ? That tiny fractions of space summed together works, but is there any deeper side in it – simo88

Mathematic Tutorials. Pauls Online Math Notes. Info. « hd fractals. Mathematical and Generative Graphics. Scilab Home Page. Introduction to Scilab. Terence Leung Ho Yin, Tsing Nam Kiu Table of Contents About Scilab Installing and Running Scilab Documentation and Help Scilab Basics Common Operators Common Functions Special Constants The Command Line Data Structures Strings Saving and Loading Variables Dealing with Matrices Entering Matrices Calculating Sums Subscripts The Colon Operator Simple Matrix Generation Concatenation Deleting Rows and Columns Matrix Inverse and Solving Linear Systems Entry-wise operations, Matrix Size The Programming Environment Creating Functions Flow Control Some Programming Tips Debugging Plotting Graphs 2D Graphs 3D Surfaces Scilab versus Matlab References.

SCILAB. Octave. GNU Octave is a high-level interpreted language, primarily intended for numerical computations.

It provides capabilities for the numerical solution of linear and nonlinear problems, and for performing other numerical experiments. It also provides extensive graphics capabilities for data visualization and manipulation. Octave is normally used through its interactive command line interface, but it can also be used to write non-interactive programs. The Octave language is quite similar to Matlab so that most programs are easily portable. Octave is distributed under the terms of the GNU General Public License.

LaTeX Symbols. From AoPSWiki This article will provide a short list of commonly used LaTeX symbols.

Operators Relations Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an n between the \ and the word. MathIM: A LaTeX web-based chat. Detexify LaTeX handwritten symbol recognition. Want a Mac app?

Lucky you. The Mac app is finally stable enough. See how it works on Vimeo. Download the latest version here. Restriction: In addition to the LaTeX command the unlicensed version will copy a reminder to purchase a license to the clipboard when you select a symbol. You can purchase a license here: Buy Detexify for Mac If you need help contact mail@danielkirs.ch. Web Resources. Wolfram. Mathematical Assistant on Web (main) Mathematica Online Integrator. Wolfram MathWorld: The Web's Most Extensive Mathematics Resource.