The article considers distributed gradient flow (DGF) for multiagent nonconvex optimization. DGF is a continuous-time approximation of descent that often easier to study than its discrete-time counterpart. has two main contributions. First, the optimization nonsmooth, objective functions. It shown converges critical points in this setting. then problem avoiding saddle points. if agents’ functio...

Flow separation at water intake is the main cause of head loss and flow discharge reduction. &#10As a result, study of shape and size of separation is very essential when designing an optimum water intake. Water intake is normally built with a 90 degree angle to the main channel flow direction. However, the flow structure in this type of water intake consists of large separation size along wit...

The single-phase flow and thermal performance of a double pipe heat exchanger are examined by experimental methods. The working fluid is water at atmospheric pressure. Temperature measurements at the inlet and outlet of the two streams and also at an intermediate point half way between the inlet and outlet is made, using copper-constantan thermocouple wires. Mass flow rates for each stream are ...

Bresnahan and Reiss (1991) derive entry thresholds (equilibrium numbers of firms) for local markets but do not investigate actual entry and exit flows. This paper investigates for thirteen Belgian retail and service industries whether markets with actual numbers of firms higher (lower) than the thresholds display exit (entry) in subsequent periods.

Despite being routinely required in medical applications, deformable surface registration is notoriously difficult due to large intersubject variability and complex geometry of most medical datasets. We present a general and flexible deformable matching framework based on generalized surface flows that efficiently tackles these issues through tailored deformation priors and multiresolution comp...

The possibility of a strong a theorem in six dimensions is examined in multiflavor ϕ^{3} theory. Contrary to the case in two and four dimensions, we find that, in perturbation theory, the relevant quantity a[over ˜] increases monotonically along flows away from the trivial fixed point. a[over ˜] is a natural extension of the coefficient a of the Euler term in the trace anomaly, and it arises in...