where Jx = Gr(Tx(M), n) is the Grassmann manifold of all n-dimensional subspaces of the tangent space Tx(M) to M at x. Each element u ∈ J(M,n) is a linear subspace of Tx(M) of codimension m, where x = π(u). Hence we have a differential system C of codimension m on J(M,n) by putting: C(u) = π−1 ∗ (u) ⊂ Tu(J(M,n)) π∗ −→ Tx(M). for each u ∈ J(M,n). C is called the Canonical System on J(M,n). We ca...

Increased experimentation with easily accessible synthetic opioids is posing a hazard to the public. We discuss one such synthetic opioid, U-50488. Much is unknown about U-50488; however, due to its structural similarity to U-47700, there is possible risk associated with its use. Curtailing the use of synthetic opioids such as U-50488 will require a concerted effort targeting multiple problems.

Although most commonly occur r ing de fau l t ru les are normal when viewed in i s o l a t i o n , they can i n te rac t w i t h each other in ways tha t lead to the de r i va t i on of anomalous de fau l t assumptions* In order to deal w i t h such anomalies i t i s necessary to re-represent these r u l e s , in some cases by In t roducing non-normal d e f a u l t s . The need to consider such...

Making agreements on how to behave has been shown to be an evolutionarily viable strategy in one-shot social dilemmas. However, in many situations agreements aim to establish long-term mutually beneficial interactions. Our analytical and numerical results reveal for the first time under which conditions revenge, apology and forgiveness can evolve and deal with mistakes within ongoing agreements...

In [HK14] an unlinkable version of the U-Prove attribute-based credential scheme is proposed. Unfortunately, the new scheme is forgeable: if sufficiently many users work together then they can construct new credentials, containing any set of attributes of their choice, without any involvement of the issuer. In this note we show how they can achieve this and we point out the error in the unforge...