Difference between revisions of "Division of Zero by Zero"

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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 '''[https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=&cad=rja&uact=8&ved=2ahUKEwij6oLv_OvwAhVT83MBHc1LCzQQFjAHegQIDhAD&url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FDifferential_calculus%23%3A~%3Atext%3DIn%2520mathematics%252C%2520differential%2520calculus%2520is%2Cthe%2520area%2520beneath%2520a%2520curve.&usg=AOvVaw1YROgVEzpqoR0TXuAWa-Ju differential calculus]''' one of the Indian-Mathematical-Scientist '''[[Jyotiraditya Jadhav]]''' has got correct solution set for the process with a proof.  
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'''Division of Zero by Zero''', is a mathematical concept and is [[indeterminate]].
  
== About Zero and it's Operators ==
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== Proof of Indeterminacy ==
  
=== Discovery ===
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We let <math>x=\frac{0}{0}</math>. Rearranging, we get <math>x\cdot0=0</math> there are infinite solutions for this.
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 ==
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{{stub}}
 
 
=== Solution Set: A : ===
 
<math>0/0 </math>
 
 
 
= <math>(1-1)/(1-1)  </math>
 
 
 
= 1
 
 
 
Also,
 
 
 
<math>0/0  </math>
 
 
 
= <math>(2-2)/(1-1) = 2(1-1)/(1-1)
 
  </math>
 
 
 
= <math>2  </math>
 
 
 
Also,
 
 
 
<math> 0/0 </math>
 
 
 
=<math>(Infinity - Infinity) / (1-1) = Infinity(1-1)/(1-1)  </math>
 
 
 
= <math>Infinity  </math>
 
 
 
So, Solution set of : A is <math>\{ 1,2,3.......Infinity\} </math>
 
 
 
=== Solution Set :B: ===
 
<math>0/0
 
= 0^1/0^1
 
= 0^1-1 (a^m/a^n= a^m-n)
 
= 0^0
 
=1  </math>
 
 
 
So, Solution set of : B is <math>\{1\} </math>
 
 
 
=== Conclusion ===
 
Intersection of both the sets will be :
 
 
 
<math>A\bigcap B  </math>= <math>1  </math>
 
 
 
So, we can conclude that the '''division of 0/0 is 1'''.
 
 
 
__INDEX__
 

Latest revision as of 17:03, 14 February 2025

Division of Zero by Zero, is a mathematical concept and is indeterminate.

Proof of Indeterminacy

We let $x=\frac{0}{0}$. Rearranging, we get $x\cdot0=0$ there are infinite solutions for this.


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