Theorem 15.1. Let E/Fq be an elliptic curve over a finite field, and let πE be the Frobenius endomorphism of E. Then E is supersingular if and only if trπE ≡ 0 mod p. Proof. Let q = pn and let π be the p-power Frobenius map π(x, y) = (xp, yp) (note that π is an isogeny, but not necessarily an endomorphism, since E need not be defined over Fp). We have π̂π = [p], where [p] denotes the multiplicat...

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For many decades, simulation modelling has been one of the most well known decision support techniques. Simulation related research and empirical work have been traditionally published in areas such as Operational Research or Management Science. In contrast, knowledge management as one of the latest change management approaches is mainly being researched by business, management and ever more by...

H aving the "last word" in a company of this experience and distinction would be quite intimidating, were it indeed the end of something but the first and most important thing I have to say is that it must not be the last word! I hope this is the beginning of sustained dialogue and fruitful discussions between and among many of us who have newly or freshly recognized our common resolve in maint...