2006-08-30 14:00:35 · 8 answers · asked by palo 1 in Science & Mathematics ➔ Mathematics
Sequence.
2006-08-30 14:03:15 · answer #1 · answered by Casey 4 · 0⤊ 0⤋
Any equation can be solved by trial and improvement (/error). However, this is a tedious procedure. Start by estimating the solution (you may be given this estimate). Then substitute this into the equation to determine whether your estimate is too high or too low. Refine your estimate and repeat the process.
Iteration is a way of solving equations. It involves rearranging the equation you are trying to solve to give an iteration formula. This is then used repeatedly (using an estimate to start with) to get closer and closer to the answer.
Example
Solve t³ + t = 17 by trial and improvement.
Firstly, select a value of t to try in the equation. I have selected t = 2. Put this value into the equation. We are trying to get the answer of 17.
If t = 2, then t³ + t = 2³ + 2 = 10 . This is lower than 17, so we try a higher value for t.
If t = 2.5, t³ + t = 18.125 (too high)
If t = 2.4, t³ + t = 16.224 (too low)
If t = 2.45, t³ + t = 17.156 (too high)
If t = 2.44, t³ + t = 16.966 (too low)
If t = 2.445, t³ + t = 17.061 (too high)
So we know that t is between 2.44 and 2.445. So to 2 decimal places, t = 2.44.
2006-08-30 14:25:25 · answer #2 · answered by Prabhakar G 6 · 0⤊ 0⤋
When you solve an equation numerically (not exactly), you will get a better value, the more times you make the calculation. Each time you make the calculation you put in the answer from the last calculation and you get closer and closer to the truth.
Each recalculation is called an iteration.
2006-08-30 14:05:46 · answer #3 · answered by Anonymous · 0⤊ 0⤋
It means one run of a cycle. If you apply the same operation multiple times, you are performing multiple iterations.
For example: Say you have the number 64, and you have to divide it by 2 in 5 iterations. So ->
After 1st iteration: 32
2nd: 16
3rd: 8
4th: 4
5th: 2
I hope that helps.
2006-08-30 14:09:42 · answer #4 · answered by DakkonA 3 · 0⤊ 0⤋
In a function, each time you plug in a number as the "function of" it is an iteration, or a particular instance of that function.
2006-08-30 14:06:40 · answer #5 · answered by martin h 6 · 0⤊ 0⤋
a process that requires repeating a sequence of steps and getting closer to the correct result
2006-08-30 14:18:43 · answer #6 · answered by Kathya 2 · 0⤊ 0⤋
Don't you have a dictonary? It usually refers to how many times a funtion is repeated and changes the outcome.
2006-08-30 14:08:04 · answer #7 · answered by Tinman 3 · 0⤊ 0⤋
it means to repeat itself.
2006-08-30 14:06:20 · answer #8 · answered by Anonymous · 0⤊ 0⤋