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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.
| + | '''Division of Zero by Zero''', is a mathematical concept and is [[indeterminate]]. |
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− | == About Zero and it's Operators == | + | == Proof of Indeterminacy == |
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− | === Discovery === | + | 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
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− | === Operators ===
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− | "'''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.
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− | == Jyotiraditya Jadhav Proof for Zero by Zero ==
| + | {{stub}} |
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− | === Solution Set: A : ===
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− | <math>0/0 </math>
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− | = <math>(1-1)/(1-1) </math>
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− | = 1
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− | Also,
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− | <math>0/0 </math>
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− | = <math>(2-2)/(1-1) = 2(1-1)/(1-1)
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− | </math>
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− | = <math>2 </math>
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− | Also,
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− | <math> 0/0 </math>
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− | =<math>(Infinity - Infinity) / (1-1) = Infinity(1-1)/(1-1) </math>
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− | = <math>Infinity </math>
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− | So, Solution set of : A is <math>\{ 1,2,3.......Infinity\} </math>
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− | === Solution Set :B: ===
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− | <math>0/0
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− | = 0^1/0^1
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− | = 0^1-1 (a^m/a^n= a^m-n)
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− | = 0^0
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− | =1 </math>
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− | So, Solution set of : B is <math>\{1\} </math>
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− | === Conclusion ===
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− | Intersection of both the sets will be :
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− | <math>A\bigcap B </math>= <math>1 </math>
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− | So, we can conclude that the '''division of 0/0 is 1'''.
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− | __INDEX__
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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
. Rearranging, we get
there are infinite solutions for this.
This article is a stub. Help us out by expanding it.