Efficient clustering algorithms have been developed to automatically group documents into subgroups (clusters). Once clustering has been performed, an important additional step is to help users make sense of the obtained clusters. Existing methods address this issue by assigning to each cluster a flat list of descriptive terms (labels) that are extracted from the documents, most often using sta...

In [6, Theorem 2.2] Doi gave a Hopf-algebraic proof of a generalization of Oberst’s theorem on affine quotients of affine schemes. He considered a commutative Hopf algebra H over a field, coacting on a commutative H-comodule algebra A. If AcoH denotes the subalgebra of coinvariant elements of A and β : A ⊗AcoH A −→ A ⊗H the canonical map, he proved that the following are equivalent: (a) AcoH ⊂ ...

In interventional neuroradiology, three-dimensional rotational digital subtraction angiography (3D-DSA) is very useful for the spatial grasp of the location and size of an intracranial cerebral aneurysm. The purposes of this study were to evaluate the property of three-dimensional image dependence on the respective field of view (FOV) size in a flat-panel detector (FPD) using vessel phantoms, a...

objective: the current study was undertaken to examine the bactericide effects of atmospheric plasma produced by flat and comb electrodes on e.coli. materials and methods: dc (20 w) and ac (500 w) power supplies, flat and comb electrodes, insulator and oxygen gas were used to produce atmospheric plasma. bactericide effects of the atmospheric plasma were studied on e.coli on sterilized plate pla...

We prove that if $R$ is a commutative Noetherian ring, then every countably generated flat $R$-module quite flat, i.e., direct summand of transfinite extension localizations in countable multiplicative subsets. also show the spectrum cardinality less than $\kappa$, where $\kappa$ an uncountable regular cardinal, modules with generators. This provides alternative proof fact over ring spectrum, a...

in this paper, an integration of a symbolic power series method - padé approximation technique (ps - padé), was utilized to solve a system of nonlinear differential equations arising from the similarity solution of laminar thermal boundary layer over a flat plate subjected to a convective surface boundary condition. as both boundary conditions tended to infinity, the combination of series solut...

the falling and settling of solid particles in gases and liquids is a natural phenomenon happens in many industrial processes. this phenomenon has altered pure forced convection to a combination of heat conduction and heat convection in a flow over a plate. in this paper, the coupling of conduction (inside the plate) and forced convection of a non-homogeneous nanofluid flow (over a flat plate) ...