Posts Tagged ‘constant’
Thursday, December 31st, 2009
How to Write Step Functions
Description
A detailed tutorial on how to write step functions. Step by step tutorial including several examples of how to write step functions for reference.
Overview
A step function, also called a staircase function, is a finite linear combination composed of several different intervals. They are considered to be a piecewise constant function. The graph of a step function is often expressed as steps, or a staircase, which is how it got its name. It simply looks like several disconnected lines, with alternate open and closed ends so that it easily passes the vertical line test for functions.
Tags: closed, combination, constant, diconnected, discrete math, ends, finite, function, graph, intervals, line, linear, lines, open, piecewise, staircase, step, test, vertical
Posted in Discrete Math | No Comments »
Thursday, November 12th, 2009
An Overview of Magic Squares
Description
A detailed tutorial of magic squares. Step by step tutorial including several examples of magic squares for reference.
Overview
Magic squares are a fun mathematical trick and puzzle. It is an arrangement such as 3×3, 4×4, or any other nxn pattern of numbers. Typically a magic square will contain any of the integers between 1 and n^2. Magic squares are set up so that all rows and columns, and both diagonals, add up to the same constant. It does not matter what constant it is, as long as all rows, columns, and diagonals add up to the same one.
Tags: arithmetic, column, constant, diagonal, integer, magic, n!, normal, number, perfect, real, row, square, sum, word
Posted in Arithmetic | No Comments »
Friday, October 30th, 2009
Overview of Hubble’s Law
Description
A detailed tutorial on Hubble’s law. Step by step tutorial including several examples of Hubble’s law including a visual example for reference.
Overview
Hubble’s law states that the velocity at which various galaxies are receding from the Earth is proportional to their distance from us. This law is often expressed by the equation v = H_0 * D, where H_0 is the constant of proportionality (or Hubble constant) between the distance D to a galaxy and its velocity v.
Tags: algebra, constant, distance, equation, galaxy, Hubble, law, observation, proportional, proportionality, velocity
Posted in Algebra | No Comments »
Thursday, October 8th, 2009
Inverse Variation Explained
Description
A detailed tutorial on inverse variation. Step by step tutorial including several examples of inverse variation and what inverse variation is for reference.
Overview
Inverse variation states that two variables are inversely proportional if one of the variables is directly proportional with the multiplicative inverse of the other, or equivilently if their product is a constant. Inverse variation can be expressed mathematically as y = k / x, where x and y are the variables and k is a nonzero constant
Tags: constant, direct, division, inverse, k, Math, multiplicative inverse, non-zero, proportionality, reciprocal, statistics, variable, variation, x, y
Posted in Statistics | No Comments »
Thursday, October 8th, 2009
Direct Variation Explained
Description
A detailed tutorial on direct variation. Step by step tutorial including several examples of direct variation and what direct variation is for reference.
Overview
Direct variation states that given two variables x and y, y is directly proportional to x if there is a non-zero constant k such that y = k * x. The variable k is referred to as the proportionality constant or the constant of proportionality.
Tags: constant, direct, inverse, k, Math, non-zero, proportionality, statistics, variable, variation, x, y
Posted in Statistics | 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, October 1st, 2009
An Introduction to Hooke’s Law
Description
A detailed tutorial on how to use Hooke’s law. Step by step tutorial including several examples of how to use Hooke’s law for reference.
Overview
Hooke’s law is a mathematical law that solves for elasticity, that is, how far a spring can be stretched. Hooke’s law states that the extension of a spring is in direct proportion with the load added to it as long as this load does not exceed the elastic limit. In a mathematical sense, this is expressed as F = -k * x, where F is the force, x is the displacement of the end of the spring, and k is the force constant.
Tags: Calculus, constant, displacement, elasticity, equilibrium, force, Hooke's law, Hookean, linear-elastic, proportion, Robert Hooke, spring
Posted in Calculus | No Comments »
Friday, September 18th, 2009
How to Solve the Wave Equation
Description
A detailed tutorial on the solving of the wave equation. Step by step tutorial including several examples of how to solve the wave equation for reference.
Overview
The wave equation is an important equation in partial differential equations. In its basic form, it is expressed as:
Every so often, for questions involving dispersion, the variable c must be changed to 
Tags: constant, dispersion, electromagnetics, hyperbolic, light wave, partial differential equations, Physics, Science, sound wave, velocity, water wave, wave equation
Posted in Differential Equations | No Comments »
