Remarks on probability theory and TMJ diagnosis

Remarks on probability theory and TMJ diagnosis.

Probability theory Events Two different simple events, for example, E| = 'Head" (H) and E. = 'Tail' (T), cannot oceui' at the same time — they are mutually exclusive. By eontrast, compound events ean oeeur simultaneously; for example, Ei3=2 and E2=s4 are not exelusive when the eompounil event is 3 or 3-5. Similarly, a [latient may eomplain of both temporomandibular joint (TM.I) pain and TMJ ere...

Remarks on Binding Theory

We propose some reformulations of binding principle A that build on recent work by Pollard and Xue, and by Runner et al. We then turn to the thorny issue of the status of indices, in connection with the seemingly simpler Principle B. We conclude that the notion of index is fundamentally incoherent, and suggest some possible approaches to eliminating them as theoretical primitives. One possibili...

Some Remarks on the Probability of Cycles

Standard results suggest that the probability of cycles should increase as the number of options increases and also as the number of individuals increases. These results are, however, premised on a so-called "impartial culture" assumption: any logically possible preference ordering is assumed to be as likely to be held by an individual as any other. The present chapter shows, in the three-optio...

Remarks on Classical Invariant Theory

A uniform formulation, applying to all classical groups simultaneously, of the First Fundamental Theory of Classical Invariant Theory is given in terms of the Weyl algebra. The formulation also allows skew-symmetric as well as symmetric variables. Examples illustrate the scope of this formulation.

Remarks on Formal Knot Theory