National Institute for Occupational Safety and Health (NIOSH) researchers continue to study the potential for lithium and lithium-ion battery thermal runaway from an internal short circuit in equipment for use in underground coal mines. Researchers conducted cell crush tests using a plastic wedge within a 20-L explosion-containment chamber filled with 6.5% CH4-air to simulate the mining hazard....

Graph separation is a well-known tool to make (hard) graph problems accessible to a divide-and-conquer approach. We show how to use graph separator theorems in combination with (linear) problem kernels in order to develop fixed parameter algorithms for many wellknown NP-hard (planar) graph problems. We coin the key notion of glueable select&verify graph problems and derive from that a prospecti...

We focus on binary classification problems; that is, we consider the problem of predicting a binary label y based on its corresponding input vector x. As in the standard machine learning formulation, we assume that the data points (x, y) are drawn from an unknown underlying distribution DXY over X × Y ; X is called the instance space and Y is the label space. We assume that Y = {±1} and X = Rd;...

For a connected graph G = (V,E), a subset U ⊆ V is called a disconnected cut if U disconnects the graph and the subgraph induced by U is disconnected as well. A natural condition is to impose that for any u ∈ U the subgraph induced by (V \U)∪{u} is connected. In that case U is called a minimal disconnected cut. We show that the problem of testing whether a graph has a minimal disconnected cut i...

The flashing feed sections of crude oil vacuum towers are especially prone to liquid entrainment. This can be detrimental to the performance of the packings/trays above the feed. It is also of disadvantage in case liquid is collected and recirculated back to the furnace. Therefore it is common practice to use special inlet devices that help preventing or minimizing liquid entrainment while maxi...

In this note we develop some of the properties of separators of points in a multiprojective space. In particular, we prove multigraded analogs of results of Geramita, Maroscia, and Roberts relating the Hilbert function of X and X \ {P} via the degree of a separator, and Abrescia, Bazzotti, and Marino relating the degree of a separator to shifts in the minimal multigraded free resolution of the ...

Development of hydrocyclonic separation is introduced first. The characteristics of the dynamic hydrocyclone are described. The laboratory study and oilfield tests of dynamic hydrocyclones were carried out. Some photos indicating flow phenomena inside the hydrocyclone were taken and analyzed for understanding the effect of some varieties on hydrocyclonic separation. Relations of flowrate, and o...

For undirected graphs G (V, E) and G0 (V0 , E0), say that G is a region intersection graph over G0 if there is a family of connected subsets {Ru ⊆ V0 : u ∈ V} of G0 such that {u , v} ∈ E ⇐⇒ Ru ∩ Rv , ∅. We show if G0 excludes the complete graph Kh as a minor for some h > 1, then every region intersection graph G over G0 with m edges has a balanced separator with at most ch √ m nodes, where ch i...