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Division of Zero by Zero

Revision as of 05:14, 28 May 2021 by Jyotiraditya123 (talk | contribs) (Created page with "Division of '''Zero by Zero''', is an '''unexplained mystery''', since decades in field of Mathematics and is refereed as undefined. This is been a great mystery to solve for...")
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Division of Zero by Zero, is an unexplained mystery, since decades in field of Mathematics and is refereed as undefined. This is been a great mystery to solve for any mathematician and rather to use limits to set value of Zero by Zero in differential calculus one of the Indian-Mathematical-Scientist Jyotiraditya Jadhav has got correct solution set for the process with a proof.

About Zero and it's Operators

Discovery

The first recorded zero appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth

Operators

"Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628," said Gobets. He developed a symbol for zero: a dot underneath numbers.

Jyotiraditya Jadhav Proof for Zero by Zero

Solution Set: A :

$0/0$

= $(1-1)/(1-1)$

= 1

Also,

$0/0$

= $(2-2)/(1-1) = 2(1-1)/(1-1)$

= $2$

Also,

$0/0$

=$(Infinity - Infinity) / (1-1) = Infinity(1-1)/(1-1)$

= $Infinity$

So, Solution set of : A is $\{ 1,2,3.......Infinity\}$

Solution Set :B:

$0/0 = 0^1/0^1 = 0^1-1 (a^m/a^n= a^m-n) = 0^0 =1$

So, Solution set of : B is $\{1\}$

Conclusion

Intersection of both the sets will be :

$A\bigcap B$= $1$

So, we can conclude that the division of 0/0 is 1.


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