Difference between revisions of "Jyotiraditya Jadhav"
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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]]. | '''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]]. | ||
| − | == | + | == Contributions to Mathematics == |
* [[Jadhav Theorem]] | * [[Jadhav Theorem]] | ||
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* [[Jadhav Prime Quadratic Theorem]] | * [[Jadhav Prime Quadratic Theorem]] | ||
| − | 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]] [[ | + | 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]] [[factor]]s of the constant <math>c</math> . |
| − | Let the set of [[prime]] [[ | + | Let the set of [[prime]] [[factor]]s 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>. |
| − | < | + | <math></math>\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<math></math> |
[[category:Mathematicians]] | [[category:Mathematicians]] | ||
{{stub}} | {{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.
Contributions to Mathematics
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 :
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:
![$[{sin (\theta/2)}{cos( \theta /2)}{s^2}]$](http://latex.artofproblemsolving.com/d/8/1/d813e6ba16795f3dacc4580cfcce411d2cba3f67.png)
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.
Jadhav Triads are groups of any 3 consecutive numbers which follow a pattern , was discovered by Jyotiraditya Jadhav and was named after him.
Jadhav Angular Formula evaluates the angle between any two sides of any triangle given length of all the sides.
![$\measuredangle = \cos^-1 [{a^2+b^2-c^2}(2ab)^-1]$](http://latex.artofproblemsolving.com/0/1/e/01e82f79523bae6e9821215c12400fd36962e308.png)
It states that if a quadratic equation 
is divided by 
then it gives the answer as an integer if and only if 
, prime and composite factors of the constant 
.
Let the set of prime factors of constant term be represented as ![$p.f.[c]$](http://latex.artofproblemsolving.com/2/4/f/24f7db09513a1d0a18bbce3552e7378d9f3d9c7e.png)
and the set of all composite factors of be ![$d[c]$](http://latex.artofproblemsolving.com/c/1/9/c19da214f0c45b9871099584d4d1264429895702.png)
.
$$ (Error compiling LaTeX. Unknown error_msg)\frac{ax^2+bx+c}{x} \in Z \iff x \in $$ (Error compiling LaTeX. Unknown error_msg)p.f.[c] \bigcup d[c] \bigcup {1} 
a,b,c \in Z$$ (Error compiling LaTeX. Unknown error_msg)
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