Vedic Sutras With Algebraic proof

1. Urdhav-Triyagbhyam

This is a general formula i.e applicable to all cases of multiplication and also in diviaion of a large number by another large number.

(a) Multiplication of two 2-digit numbers.
Consider two numbers ab and cd.
(Where a and b are digits not numbers in multiplication.)

We can write ab and cd as:
ab=(10× a + b)
cd=(10×c + d)

Now the multiplication of  ab and cd:
(10×a + b)×(10×c + d)
By multiplying we got this form

10^2(a×c)+ 10(ad+cd)+bd     ....(1)

Short-cut that can be deduced from (1).

While multiplying two 2-digit numbers ab and cd.(where ab and cd are numbers not a*b and c*d)
     ab × cd = X
1)Where the ones digit of answer is b×d.
2)the tens digit number of answer is (a×d + b×c).
3) the Hundredth digit of answer is  ( a×c).

Short cut for Multiplication of two three- digit number can be done by using the expanding three digit numbers and performing the multiplication as we have done above.

 In love with math?
Strange and can be a matter of saying in colleagues for those who fall in love with a girl or a boy or with anything else, but for those who are mathematician, physicist other else is not strange and not a literal matter.

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Let us see what great mathematician and physicist says about mathematics-

The great physicist and mathematician Galileo stated that -

"mathematics is the language with which god has written the universe"

Great physicist Albert Einstein stated that-

"everyone who is seriously involved in the pursuit of science becomes convinced that a spirit is manifest in the laws of the universe-a spirit vastly superior to that man."

The great Indian mathematician S. Ramanujan also said to mathematician G.H. Hardy that -

"an equation for me has no meaning, unless it represents a thought of god"

The String Theory developer Theoretical Physicist Michio Kaku also stated in one of his talk on Big Think that-

"we believe is to find an equation and no more than one inch long which will allow us to unify all the forces of nature and allow us to read the mind of God and what is the key to that one inch equation is super symmetry a symmetry that's come out of physics not mathematics...all this is a pure mathematics

and so the final resolution could be that God is mathematician.

and we read the mind of God we actually had a candidate for the mind of God we believe is cosmic music the music of string resonating through the eleven dimension hyperspace that is the mind of God."

What made them to state so remarkable quotes in their career

as mathematician or physicist ?And not only mathematician and physicist but all dedicated scientist in any  field had stated such remarkable quotes:

The reason of that they stated such remarkable quotes in there career is that in there whole career they wonder that how is this well defined and ordered universe is created and maintained so long?
To reason such phenomena they define forces in universe like Gravitation,Electromagnetic etc.
But the creator of this universe always reveal that part of that universe that amaze and surprise scientist. This force them to always live with a big "WOW" in there mind and we fall in love with Maths as physicists or mathematician because we think that we can approach to the algorithm the God's manufacturing mind and realty of his world.

This reminds me a great quote by Paul Davies (British astrophysicist)  that

"There is for me powerful evidence that there is something going on behind it all....It seems as though somebody has fine-tuned nature’s numbers to make the Universe....The impression of design is overwhelming".




But the question here arise that this so much talked God by our scientist
Does really Exist ? or If it exist then our approach will really lead us to God' mind ?
But It's true that "when we scientist will know god, we will fall in love with Math" .
How i am so affirmative about this ?
Stay tuned to know !
Good Bye!