Equation #1

To Know = Known + knower

Brief Explanation - One cannot know without seperating the object of the knowledge (the known) from the one who seeks to know.  The ability of the mind to seprate itself from the object of the knowledge is the EGO or False Identity.

Equation #2

Realization = Know - Doubt

Brief explanation - Doubt arises only because of the nature of duality of the mind - its dependance on the opposites for its functioning.  

Equation #3

Real = Perception + Permenance

Unreal = Perception + change. 

Brief Explanation - Permenance is an unchanging state of perception or consciousness. Consciousness and Perception are born from change and moves to a steady state which does not depend for its continuation on change simulations perceived thru the senses.

Equation #4

Doubt = Inability to accept (reality of perceiver + illusion of subject of perception)

Brief Explanation - The duality vanishes from the mind, when the realization sets in that it is only the perceiver that is real and there is in fact no conflict because the subject of the conflict is an illusion.