Bondal–Orlov fully faithfulness criterion for Deligne–Mumford stacks

Stability Criterion for Fully Synchronized State of Periodic Networks

We derived a stability criterion for the totally synchronized state of a periodic network of coupled functional units. The functional units were nonlinear discrete dynamical systems. We assumed exponentially decaying coupling strength to reduce the number of control parameters.

On the incompatibility of faithfulness and monotone DAG faithfulness

Cheng, Greiner, Kelly, Bell and Liu [Artificial Intelligence 137 (2002) 43–90] describe an algorithm for learning Bayesian networks that—in a domain consisting of n variables—identifies the optimal solution using O(n4) calls to a mutual-information oracle. This result relies on (1) the standard assumption that the generative distribution is Markov and faithful to some directed acyclic graph (DA...

New empirical failure criterion for shale

A new failure criterion was presented to predict the ultimate strength of shale under the triaxial and polyaxial state of stress. A database containing 93 datasets was obtained from the results of the uniaxial, triaxial, polyaxial compressive tests, an indirect tensile test was collected from reliable references, and this test was carried out on the shale samples taken from the southwestern oil...

The Faithfulness Question for the Burau Representation

We consider the Burau and Gassner representations of the braid groups B„ . A sufficient condition for faithfulness, involving just a pair of arcs, is shown to be necessary as well for all but at most two values of n. In the Burau case, this implies nonfaithfulness for n > 10 . Alexander showed in [6] that any knot K can be made by connecting the ends of some braid b. The Alexander polynomial A(...

Prosodic Faithfulness in Cupeno