Tuesday, July 3, 2018

Complex Numbers contd. . .

What are complex numbers? Can you give an analogy?
Money involved here. As the explanation can be quite expensive. Ambani is not sitting idle just to thwart flies.
Any way, I will give.
2 = 1 + (i squared) 1. Doubling is natural. When you break it becomes two.
And so 4 = 2 + (i squared) 2.
i squared in both the above is +1.
Consider, i squared as -1. Let us see what happens. This is risky. But a calculated one. On the strength of my education am I taking this risk.
So,
2 = 1 + (i squared) 1. Is that true No it isn't. Because 2 is not equal to zero. It may hurt dvaita philosophers, but not advaita philosophers. They may say 2 is indeed zero. There is no two.
So, what happens when i squared is -1 is that philosophy of one two arises.
Mathematicians thought, let us not waste time. Let us make i squared equal to -1. It will not be wrong also as i squared equal to +1 already exists.
So they decided on complex number i.

1 comment:

Kirtivasan Ganesan said...

I am not visualising any problems whatever with dwaita philosophy.
Why did god make two hands?
Moreover in south rituals and practices are more important than an argument over advaita, dvaita or visishtaadvaita.