Criteria for Floating I

Major and minor criteria for gastric dystemperaments in Persian Medicine: Sari gastric dystemperament criteria-I (SGDC-I)

Background: Gastric disorders are one of the most common human ailments, which impose a huge economic burden on countries. In Persian Medicine (PM), it is possible to predict the susceptibility to gastric diseases with diagnosis of gastric Mizajes (te...

Floating Bodies of Equilibrium I

A long cylindrical body of circular cross-section and homogeneous density may float in all orientations around the cylinder axis. It is shown that there are also bodies of non-circular cross-sections which may float in any direction. Apart from those found by Auerbach for ρ = 1/2 there are one-parameter families of cross-sections for ρ = 1/2 which have a p-fold rotation axis. For given p they e...

Generalised Bent Criteria for Boolean Functions (I)

Generalisations of the bent property of a boolean function are presented, by proposing spectral analysis with respect to a well-chosen set of local unitary transforms. Quadratic boolean functions are related to simple graphs and it is shown that the orbit generated by successive Local Complementations on a graph can be found within the transform spectra under investigation. The flat spectra of ...

I , - I Clustering Methods Based on Likelihood Ratio Criteria

NEW CRITERIA FOR FREENESS IN ABELIAN GROUPS . H ( i )

A new criterion is established for an abelian group to be free. The criterion is in terms of an ascending chain of free subgroups and is dependent upon a new class of torsion-free groups. The result leads to the construction, for each positive integer n, of a group G of cardinality K that is not free but is X -free. A conjecture in infinitary logic concern71 n ing free abelian groups is also ve...