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Golden lemma

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Golden Lemma and Golden pattern
- Simplify everything right from polynomial multiplication, division , power , root ,
inverse
- Help to build generic module in high level language to perform operation on
polynomial
- Parallel multiplication architecture for multiprocessor environment
- Golden pattern(process) is applicable in many areas of algebra.
- Golden pattern is superior over vertically crosswise pattern mentioned in Vedic
math.

To read more refer

https://play.google.com/store/books/details/Vitthal_B_Jadhav_Modern_Approach_to_Speed_Math_Sec?id=PXi7jCVYClAC
OR
https://play.google.com/store/books/author?id=Vitthal+B.+Jadhav

Published in: Education
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Golden lemma

  1. 1. 274 | Modern Approach to Speed Math Secret 3) n   k    n!  for n ∈ W , k ∈ W  k ! (n − k ) !    n   n (n − 1) (n − 2) ..... (n − k + 1)  for n ∈ R , k ∈ W  = k  k!       n (n − 1) (n − 2) .... (k + 2) (k + 1) for n ∈ R , (n − k ) ∈ W  (n − k ) !  VJ’s GOLDEN LEMMA Let k, l , m k , n ∈ W , Pk ∈ R  mk f ( x) = ∏  ∑ ak k = 0 l = 0  n ,l *x Pk mk −l     Then ∞ f ( x) = ( Sl xh − l ) l =0 ∑ Where n h = Highest power of x in f ( x) = ∑ ml pl l =0 Pk   n f ( x)     U 0 =  ∏ ak , 0  =  lim  h   k =0   x→∞ x   ( ) ∪ Uk = ∀ al , r present in U k −1 d ∫ dal , r (U k −1 ) dal , r + 1 r ≠ mi Sl = Sum of all members ( terms) in set Ul = ∑ Ul Golden Lemma / Golden Pattern for k ≥ 1

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