## Wednesday, 19 June 2013

### WHAT IS THE PURPOSE OF COMPLEX NUMBERS IN REAL LIFE?

(/\) Complex numbers are used to denote inclination.
(/\) Yes, that’s it.
(/\) ‘ i ‘ denotes inclination. If there is no i, that means the object is completely flat.

#### SO WHAT DOES 3+4i MEAN ?

(/\) i denotes that the object is placed at an inclination of course.

(/\)  3 is the ‘horizontal influence’ of that object. And 4 is the ‘vertical influence’ of that object.

(/\) So, what happens is, when an object gets inclined, it’s influence gets divided into two parts (components).
1) A horizontal component
2) A vertical component

(/\) The vertical component is sin and the horizontal component is cos.

WHERE ALL DO COMPLEX NUMBERS COME IN REAL DAILY LIFE ? AND IN OUR EQUATIONS?

(/\) Complex numbers come into our lives when one force gets divided into two branches of forces.

(/\) Inclining the object is just one example where the force will get divided into two.

#### EXAMPLE

(/\)Imagine a stick.

CASE 1: THE STICK IS COMPLETELY HORIZONTAL

## COMPLEX NUMBERS SOMEWHAT AN OK VIDEO

VENN DIAGRAM ABOUT THE PLACE OF COMPLEX NUMBERS

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THE ABOVE IS A EXCERPT FROM A BOOK AVAILABLE FOR PURCHASE (5\$) AT THE FOLLOWING LINK
AVAILABLE FOR PURCHASE FOR 5\$ (INR 300) HERE (PDF)
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I hardly understood Math in school. In fact was on the verge of dropping the subject I loved the most because as much as I loved the theory of it, I could not understand the math involved in it.

However I loved the subject too much to be able to live without. Hopelessly, I was continuing my love-affair with it.

Then one day....a miracle happened,....while applying a certain formula again and again.....I came to know its significance. Slowly and steadily....other equations also started clicking. I got to see a strong relationship between Maths and the Physics it was pointing towards. They both were the same.

Maths was just an easy language to express a physical phenomenon. And a bit more to that in the sense that it could even predict the behaviour of a certain physical phenomenon. Equations now as if came to life.

Every equation now had as if something to say. A burning urge to share these things with the world aflamed within me. So that no one has to give up the subject that he or she loves the most.

The book on visualizing maths thus got written as a sprout of inspiration. The blog followed. Both these are dedicated to you and all such similar minds searching for answers.

Visualizing Math & Physics is a blog dedicated to you and all such similar minds searching for answers.
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