Guest question from p vs np who seems to be busy fragging his sem end exams one after the other :P

Equation 1. was given by 2. as the proof of validity for what may seem a concept too far fetched in his ‘pet-creation’. The equation was “inspired” by the one given by 3, which happens to be higher up on the scale of seriousness.
Solve 1 through 3 and also throw in the “concept”.

1. 

2. 3.

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Cracked by: sj_lj , shrik , udupendra , AmK , akhi , Goyal , Rithwik K , BASAB , sappola , Dibyo , KRIK and p vs np.

sj_lj, shrik, udupendra, AmK, akhi, Goyal, Rithwik K, BASAB, sappola, Dibyo, KRIK and p vs np