Balanced Splitting and Rebalanced Splitting

Balanced Splitting and Rebalanced Splitting

Many systems of equations fit naturally in the form du/dt = A(u) + B(u). We may separate convection from diffusion, x-derivatives from y-derivatives, and (especially) linear from nonlinear. We alternate between integrating operators for dv/dt = A(v) and dw/dt = B(w). Noncommutativity (in the simplest case, of eAh and eBh) introduces a splitting error which persists even in the steady state. Sec...

Splitting balanced incomplete block designs

Some Triangulated Surfaces without Balanced Splitting

Let G be the graph of a triangulated surface Σ of genus g ≥ 2. A cycle of G is splitting if it cuts Σ into two components, neither of which is homeomorphic to a disk. A splitting cycle has type k if the corresponding components have genera k and g− k. It was conjectured that G contains a splitting cycle (Barnette ’1982). We confirm this conjecture for an infinite family of triangulations by com...

LIMIT AVERAGE SHADOWING AND DOMINATED SPLITTING

In this paper the notion of limit average shadowing property is introduced for diffeomorphisms on a compact smooth manifold M and a class of diffeomorphisms is given which has the limit average shadowing property, but does not have the shadowing property. Moreover, we prove that for a closed f-invariant set Lambda  of a diffeomorphism f, if Lambda is C1-stably limit average shadowing and t...

Investigating Different Methods of Closed Shell Pistachios Splitting and Effects of Freezing Prior to Drying on Shell Splitting Percentage

In this study, different methods for shell splitting and the effect of freezing prior to drying on shell splitting percentage of pistachio were investigated. A completely randomized design was used to investigate the effects of different freezing temperatures (0, -6, -12 and -18°C), different drying temperatures (80, 90 and 100°C) and different cultivars (Akbari and Kalehghouchi) on shell split...