WELCOME TO MY BLOG

Seeking knowledge is obligatory on every Muslim man and woman .... Prophet Mohamed

Wednesday, October 27, 2010

Infinity

Infinity is not a number like most of the people know

it's just Engineering/ Mathematics/ Physical Symbol that show that we reached the maximum Condition of something.

Uses in Engineering:

1. if we have oil tank contain 1000 Litter and the pump didn't stop at its limit and kept pumping oil

In the tank,

Well then we can say that the 1001 is the infinity for that tank

but hey we can't say that infinity is mean 1001 for the tank

Because the 1002, 1003, 1004, 1005, 1006 litters .....etc, is the infinites of that tank ....... So we can't determinate the infinity


2. If we decided to measure the tall of student college we can make calibration that the max of the student tall measurement tall is 3 meters

so the 3.1, 3.2 is the infinity

3. If we are designing a Product of course as engineers we test the material selection, the stress and the strain during designing process so if the product failure at the force of 5 Newton so the 5, 7, 8 is infinity for the product


PS:

The infinity can be Zero in another application look to Example 1 the oil tank and to example 2 the Student Tall the infinity in the second example which is 3 can be almost zero in the tank example

So the infinity is depend on the application and max value of it

From that we can say that the infinity is not a number it’s just a way to express the maximum statue of the application

Also that's why when we say

∞ - ∞ = “Indeterminate form”

Because we don’t know which ∞ is bigger than the other

But…

∞ + ∞ = ∞ because both of them is ∞ so the sum must be in the ∞

Also do you know that Parallel line is intersected in the infinity

We Assumed that as we don’t know where’s the Infinity


Read more:

Indeterminate form

http://en.wikipedia.org/wiki/Indeterminate_form

Infinity @ Wikipedia

http://en.wikipedia.org/wiki/Infinity



No comments:

Post a Comment