Mendeleev conjecture

Such conclusions lead to the Mendeleev Conjecture Object ordering induces order over the implicit relationships which exists between the set elements and their properties. ... 

Ordering of molecular sets can be assisted by the Mendeleev Conjecture[1]. Once a set of molecular structures is defined, S= Sj, it can be associated with the corresponding set of density transforms, D= Dj. This allows the computation of the QSM or QSI table which can be used to establish an ordering into the density transforms set by means of a rule R. This ordering can be transferred to the molecular set S. 

Mendeleev Conjecture states that if a new element s of S is known, whose density function transform d is also known, all QSM or QSI involving d can be computed and the rule R can act on the augmented set Dk) d. In this manner, a position into the ordered set D is found for d. This ordering can be transferred to the corresponding structure s in the set S. 

Supposing known a new set P=(PiJ built up with some values of some property attached in a one-to-one correspondence to the elements of set S, Mendeleev Conjecture also states that the ordering of these properties follow the same structure as the one established for the density transforms. So, an unknown value p of the property attached to the new structure s may be found somewhere within the order of the property set. Applying the rule R over the augmented property set PU p, an estimation of the property value p, can be made. 

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