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| Iteration and Higher mathematics
Iteration Definition Mathematics. A computational procedure in which a cycle of operations is repeated, often to approximate the desired result more closely. Computer Science.
Mathematics Application: Algebra - In algebra you learned to solve equations for X. Your teacher may have told you to check your answer by substituting that number into the equation. If your answer resulted in a equality, you can be certain that your answer was correct. With a computer you can skip solving the equation and simply search for the solution by testing every number in a finite set of numbers. For example, if you knew that X was an Integer between -1000 and +1000 you would have to do 2000 iteration to find all the solution. Programmers use looping to perform repetitive operations. Calculus - We use calculus to calculate the area under a curve of continuous function of x. We can approximate the area under a curve with a number of rectangles with height f(x) and width of delta x). The smaller the value of delta x the greater the number rectangles required cover the bounded area. One iteration or loop is required to calculate area of each rectangle.
JavaScript Methods of Looping - Before doing any physics or electronics calculations let us consider some methods of looping. Warning: Infinite Loops can hang up your computer. Pressing Ctrl/Alt/Delete buttons simultaneously will interrupt program operation and cause Windows Task Manager Menu to be displayed. Use Windows Task Manager - End Task button to stop your program. For Keyword: The for loop uses an index counter to keep track of the number loops, and stops looping when a certain number is reached.
Notes: Statements in parenthesis ( ) control loop.
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