Krein [1] mentioned that for each PD equation we have two extreme operators, one is the minimal in which solution and its derivatives on the boundary are zero, the other one is the maximal operator in which there is no prescribed boundary conditions. They claim it is not possible to have a related boundary value problem for an arbitrarily chosen operator in between. They have only considered lo...

A solution of two problems related to the matrix equation of Sylvester type is given. In the first problem, the procedures for linear matrix inequalities are used to construct the solution of this equation. In the second problem, when a matrix is given which is not a solution of this equation, it is required to find such solution of the original equation, which most accurately approximates the ...

Named Entity Recognition and Classification is the task of extracting from text, instances of different entity classes such as person, location, or company. This task has recently been applied to web search queries in order to better understand their semantics, where a search query consists of linguistic units that users submit to a search engine to convey their search need. Discovering and ana...

TOPMODEL rainfall-runoff hydrologic concepts are based on soil saturation processes, where soil controls on hydrograph recession have been represented by linear, exponential, and power function decay with soil depth. Although these decay formulations have been incorporated into baseflow decay and topographic index computations, only the linear and exponential forms have been incorporated into i...

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In this paper, we present a two-phase, hybrid model for generating training data for Named Entity Recognition systems. In the first phase, a trained annotator labels all named entities in a text irrespective of type. In the second phase, naïve crowdsourcing workers complete binary judgment tasks to indicate the type(s) of each entity. Decomposing the data generation task in this way results in ...

Regulated adhesion of T cells by the integrins LFA-1 (lymphocyte function-associated antigen-1) and VLA-4 (very late antigen-4) is essential for T-cell trafficking. The small GTPase Rap1 is a critical activator of both integrins in murine lymphocytes and T-cell lines. Here we examined the contribution of the Rap1 regulatory pathway in integrin activation in primary CD3(+) human T cells. We demo...

A variety of infiltration techniques can be used to fabricate solid materials, particularly composites. In general these processes can be described with at least one time dependent partial differential equation describing the evolution of the solid phase, coupled to one or more partial differential equations describing mass transport through a porous structure. This paper presents a detailed ma...

The fuzzy linear second order equations with fuzzy initial values are investigatedin this paper. The analytic general solution solutions of them usinga rst solution is founded. The parametric form of fuzzy numbers is appliedto solve the second order equations. General solutions for fuzzy linear secondorder equations with fuzzy initial values are investigated and formulatedin four cases. A examp...