Posts Tagged ‘simple’
Thursday, November 12th, 2009
How to Identify Fractals
Description
A detailed tutorial on fractals. Step by step tutorial including several examples and a helpful visual example of fractals for reference.
Overview
A fractal is a geometric shape that can easily be split into parts. Each part is really just a small version of the whole. Fractals are often very rough or fractured looking shapes, which is how they got their name. The common features of a fractal is that it has a fine structure at small scales, it is an irregular shape, it is self-similar, and it has a recursive definition as well as a simple one. One of the most famous and well-known fractals is the Mandelbrot set.
Tags: fine, fractal, fractured, Geometry, irregular, Mandelbrot, parts, resursive, rough, scale, self, self-similar, shape, similar, simple, small, structure, version
Posted in Geometry | No Comments »
Thursday, November 5th, 2009
Definition of an Operand
Description
A detailed tutorial on the definition of an operand. Step by step tutorial including several examples of an operand for reference.
Overview
An operand can be any number. However, a number is only called an operand when there is some kind of operation being performed on it. There are simple operands and complex operands. A simple operand is what people call an operand – just one number. A complex operand is an operand that consists of an operation inside it, and therefore has at least 2 operands inside the first operand.
Tags: addition, arithmetic, complex, division, exponents, multiplication, number, operand, operation, order, parenthesis, simple, subtraction
Posted in Arithmetic | No Comments »
Friday, October 2nd, 2009
Introduction to Simple Harmonic Motion
Description
A detailed tutorial on simple harmonic motion. Step by step tutorial including several examples of simple harmonic motion for reference.
Overview
Simple harmonic motion is related to Hooke’s law – as what Hooke’s law does is measure harmonic motion. Simple harmonic motion is motion that is neither driven nor damped. It is one movement, one force. This motion can also be periodic. Simple harmonic motion is expressed by the equation:
Tags: amplitude, Calculus, constant, force, frequency, harmonic, Hooke's law, Math, motion, oscillator, period, periodic, phase, simple
Posted in Calculus | No Comments »
Thursday, September 24th, 2009
Introduction to the Fourier Series
Description
A detailed tutorial on the solving of Fourier series. Step by step tutorial including several examples of how to solve the Fourier series for reference.
Overview
The Fourier series is very common in differential equations and partial differential equations. What a Fourier series does is decompose a periodic function into the sum of simple oscillating functions, like sine and cosine. Fourier series are part of Fourier analysis and were first introduced by Joseph Fourier to solve the heat equation. So another name for the Fourier series is the heat equation, although they are considered different things. Both the heat equation and the Fourier series are partial differential equations.
Tags: cosine, decompose, differential equations, Fourier analysis, Fourier series, function, functions, heat equation, Joseph Fourier, Math, oscillating, partial differential equations, periodic function, simple, sine, sum
Posted in Differential Equations | No Comments »
