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Difference between revisions of "Jyotiraditya Jadhav"

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'''Jyotiraditya Jadhav''' is an '''India-born Mathematician and a mathematical researcher''', who was titled "Mathematician" by '''Proof Wiki''' after publication of his impact-full formula, [[Jadhav Theorem|'''Jadhav Theorem''']].  
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'''Jyotiraditya Abhay Jadhav''' is an India-born Mathematician and a mathematical researcher, who was titled "Mathematician" by Proof Wiki after publication of his impactful formula, [[Jadhav Theorem]].  
  
 
== Researches ==
 
== Researches ==
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'''[[Jadhav Theorem]]'''
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* [[Jadhav Theorem]]
  
 
If any three consecutive numbers are taken say a,b and c with a constant common difference, then the difference between the square of the 2nd term (b) and the product of the first and the third term (ac) will always be the square of the common difference (d).
 
If any three consecutive numbers are taken say a,b and c with a constant common difference, then the difference between the square of the 2nd term (b) and the product of the first and the third term (ac) will always be the square of the common difference (d).
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<math>b^2 - ac = d^2</math>
 
<math>b^2 - ac = d^2</math>
  
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'''[[Jadhav Isosceles Formula]]'''
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* [[Jadhav Isosceles Formula]]
  
 
In any isosceles triangle let the length of equal sides be "s" and the angle formed between both the sides be . then the area of the complete triangle can be found by Jadhav Isosceles Formula as below:
 
In any isosceles triangle let the length of equal sides be "s" and the angle formed between both the sides be . then the area of the complete triangle can be found by Jadhav Isosceles Formula as below:
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<math>[{sin (\theta/2)}{cos( \theta /2)}{s^2}]</math>
 
<math>[{sin (\theta/2)}{cos( \theta /2)}{s^2}]</math>
  
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'''[[Jadhav Division Axiom]]'''
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* [[Jadhav Division Axiom]]
  
 
In an incomplete division process if the dividend is '''lesser then''' Divisor into product of 10 raise to a '''power "k"''', and '''bigger then''' divisor into product of 10 with '''power "k-1"''' then there will be k number of terms before decimal point in an divisional process.
 
In an incomplete division process if the dividend is '''lesser then''' Divisor into product of 10 raise to a '''power "k"''', and '''bigger then''' divisor into product of 10 with '''power "k-1"''' then there will be k number of terms before decimal point in an divisional process.
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<math>d \times 10^k-1 < n < d \times 10^k</math>
 
<math>d \times 10^k-1 < n < d \times 10^k</math>
  
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'''[[Jadhav Triads]]'''
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* [[Jadhav Triads]]
  
 
Jadhav Triads are '''groups of any 3 consecutive numbers''' which follow a pattern , was '''discovered by Jyotiraditya Jadhav''' and was named after him.
 
Jadhav Triads are '''groups of any 3 consecutive numbers''' which follow a pattern , was '''discovered by Jyotiraditya Jadhav''' and was named after him.
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<math>\surd ac \approx b  </math>
 
<math>\surd ac \approx b  </math>
  
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'''[[Jadhav Angular Formula]]'''
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* [[Jadhav Angular Formula]]
  
 
Jadhav Angular Formula evaluates the angle between any two sides of any triangle given length of all the sides.
 
Jadhav Angular Formula evaluates the angle between any two sides of any triangle given length of all the sides.
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<math>\measuredangle = \cos^-1 [{a^2+b^2-c^2}(2ab)^-1] </math>
 
<math>\measuredangle = \cos^-1 [{a^2+b^2-c^2}(2ab)^-1] </math>
  
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'''[[Jadhav Prime Quadratic Theorem]]'''
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* [[Jadhav Prime Quadratic Theorem]]
  
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It states that if a [https://en.wikipedia.org/wiki/Quadratic_equation Quadratic Equation] <math>ax^2+bx+c </math>  is divided by <math>x</math> then it gives the answer as an '''[https://en.wikipedia.org/wiki/Integer Integer]''' if and only if <math>x </math> is equal to 1, [https://en.wikipedia.org/wiki/Integer_factorization Prime Factors] and [https://en.wikipedia.org/wiki/Composite_number composite] [https://en.wikipedia.org/wiki/Divisor divisor] of the constant <math>c</math> .
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It states that if a [[quadratic equation]] <math>ax^2+bx+c</math>  is divided by <math>x</math> then it gives the answer as an [[integer]] if and only if <math>x=1</math>, [[prime]] and [[composite]] [[divisor]]s of the constant <math>c</math> .
  
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Let the set of [https://en.wikipedia.org/wiki/Integer_factorization prime factors] of constant term <math>c </math> be represented as <math>p.f.[c] </math> and the set of all [https://en.wikipedia.org/wiki/Composite_number composite] [https://en.wikipedia.org/wiki/Divisor divisor] of <math>c </math> be <math>d[c] </math>  
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Let the set of [[prime]] [[factors]] of constant term <math>c</math> be represented as <math>p.f.[c]</math> and the set of all [[composite]] [[factor]]s of <math>c</math> be <math>d[c]</math>.
  
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<math>\frac{ax^2+bx+c}{x} \in Z </math>  Iff <math>x \in  </math> <math>p.f.[c] \bigcup d[c] \bigcup {1}  </math> where <math>a,b,c \in Z </math>.
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<cmath>\frac{ax^2+bx+c}{x} \in Z \iff x \in  <math> </math>p.f.[c] \bigcup d[c] \bigcup {1}  <math> where </math>a,b,c \in Z</cmath>
  
 
[[category:Mathematicians]]
 
[[category:Mathematicians]]
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{{stub}}

Revision as of 09:00, 2 February 2025

Jyotiraditya Abhay Jadhav is an India-born Mathematician and a mathematical researcher, who was titled "Mathematician" by Proof Wiki after publication of his impactful formula, Jadhav Theorem.

Researches

If any three consecutive numbers are taken say a,b and c with a constant common difference, then the difference between the square of the 2nd term (b) and the product of the first and the third term (ac) will always be the square of the common difference (d).

Representation of statement in variable :

$b^2 - ac = d^2$

In any isosceles triangle let the length of equal sides be "s" and the angle formed between both the sides be . then the area of the complete triangle can be found by Jadhav Isosceles Formula as below:

$[{sin (\theta/2)}{cos( \theta /2)}{s^2}]$

In an incomplete division process if the dividend is lesser then Divisor into product of 10 raise to a power "k", and bigger then divisor into product of 10 with power "k-1" then there will be k number of terms before decimal point in an divisional process.

$d \times 10^k-1 < n < d \times 10^k$

Jadhav Triads are groups of any 3 consecutive numbers which follow a pattern , was discovered by Jyotiraditya Jadhav and was named after him.

$\surd ac \approx b$

Jadhav Angular Formula evaluates the angle between any two sides of any triangle given length of all the sides.

$\measuredangle = \cos^-1 [{a^2+b^2-c^2}(2ab)^-1]$

It states that if a quadratic equation $ax^2+bx+c$ is divided by $x$ then it gives the answer as an integer if and only if $x=1$, prime and composite divisors of the constant $c$ .

Let the set of prime factors of constant term $c$ be represented as $p.f.[c]$ and the set of all composite factors of $c$ be $d[c]$.

\[\frac{ax^2+bx+c}{x} \in Z \iff x \in <math> </math>p.f.[c] \bigcup d[c] \bigcup {1} <math> where </math>a,b,c \in Z\] This article is a stub. Help us out by expanding it.

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