[Guille]

Mohan,

I have find nothing. I did find other absurd maths with imaginary numbers, that lead to the idea that -2=2 or i=1. The solution would be to forget imaginary numbers, but we can't, because they are used in calculations by engineers of all kinds. But I wouldn't wonder too much about it, mathematicians are good when they stick to logic, but they can't be philosophers that explain us the meaning of things.

By the way, Sub, it's true. 0/0 is indeterminate, as you say. I just mixed up the two terms. Indeterminate means any value found is good and undefined means no value found which is good.

[Mohan.C]

I have come to the same conclusions. May be we need some more logic to explain it.

[AntonioLao]

Originally Posted by Mohan.C Can any one help me with this

I just got the chance to read this post again. My reply is that ‘i’ is the square root of -1 as the root for the algebraic solution to x + 1 = 0. This solution avoid the use of infinity itself which could be defined as 1 divided by zero, but any number divided by zero is not defined in current mathematics.

[Mohan.C]

Originally Posted by AntonioLao I just got the chance to read this post again. My reply is that ‘i’ is the square root of -1 as the root for the algebraic solution to x + 1 = 0. This solution avoid the use of infinity itself which could be defined as 1 divided by zero, but any number divided by zero is not defined in current mathematics.

Hi, Antonio
Do you have any idea how we can integrate which has imaginary limits. If at all it exists. But how will that limit satisfy when we don't have a specific value for it.

[baudrunner]

You're both extending the application of the imaginary number too far. It was created as a descriptive corollary to the calculation of total impedence to current in an electronic circuit when they were still using vacuum tubes and when the oscilliscope was yet a new scientific tool. It was an ingenious device - no more, no less - to accommodate a very real observation. That is all. Enough of the imaginary and back to the real, please.

[AntonioLao]

Originally Posted by Mohan.C Do you have any idea how we can integrate which has imaginary limits

I have no idea. However, since the complex field is an extension of the real field, it is a differentiable manifold, that is theory of limits is valid.