Consider the class of exp-log constants, which is constructed from the integers using the field operations, exponentiation and logarithm. Let z be such an exp-log constant and let n be its size as an expression. Witness conjectures attempt to give bounds $(n) for the number of decimal digits which need to be evaluated in order to test whether z equals zero. For this purpose, it is convenient to...

The witness set W(A, B) for two quantum effects A, B is the set of effects that verify the coexistence of A and B. We first study the properties of W(A, B). We then introduce a measure of sharpness Sn(A) for an n-dimensional quantum effect A. We show that S2(A) has natural properties that a measure of sharpness should possess and conjecture that Sn(A) also has these properties for n > 2. Finall...

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Geometric constraints solving often relies on graphbased methods to decompose systems of geometric constraints. These methods have intrinsic and unavoidable limitations which are overcome by the witness method presented here.

As the leading employer of nurse expert witnesses, I welcome the work the RCN is doing to improve the standard of this service. Performance in the witness box not only reflects and exposes an individual's credibility, but also publicly demonstrates the professionalism of nurses in general.

Geometric Constraints Solving use graph-based methods to decompose systems of geometric constraints. These methods have intrinsic and unavoidable limitations which are overcome by the witness method presented