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After giving a suitable model for the cutting strips problem, we present a branch-and-price algorithm for it by combining the column generation technique and the branch-and-bound method with LP relaxations.
      
Some theoretical issues and implementation details about the algorithm are discussed, including the solution of the pricing subproblem, the quality of LP relaxations, the branching scheme as well as the column management.
      
We observed that the flow profiles of the scaled-up column were flat during the whole chromatographic process, and the efficiency and resolution of the column were also increased in accordance with theoretical prediction.
      
In the case of displacing (by the solution) thin oil films, which were preliminarily deposited onto the capillary surface, the advancing meniscus of the trisiloxane solution collects the column of oil from the film.
      
The process of bubble separation of substances using large gas bubbles totally closing the cross section of the column was investigated.
      
The depth of the annular funnel being formed in front of the column is determined.
      
It is shown that for certain flow parameters there is a time interval on which the fluid flow-rate is independent of the column height.
      
Various forces that act on liquids in the column were considered.
      
This volume directly affects the column capacity and separation efficiency and it is crucial for choosing liquid systems and experimental conditions.
      
The stationary (liquid, solid, or heterogeneous) phase is retained in the column because of the centrifugal force field, and the mobile liquid phase is continuously pumped through the column.
      
Various forces that act on liquids in the column were considered.
      
This volume directly affects the column capacity and separation efficiency, and it is crucial for choosing liquid systems and experimental conditions.
      
The effects of physicochemical properties of two-phase liquid systems (interfacial tension and differences in density and viscosity) on the retention of the stationary phase in the column were examined.
      
An increase in the ammonium sulfate concentration only slightly affects the retention factor of the stationary phase in the column.
      
A substantial improvement of performance characteristics of the column was found: for hydroxy compounds, the column performance increased by two to three times and the peak symmetry improved by more than twice.
      
The effects of the column type, its rotation speed, the flow rate of the carrier liquid, and the inner diameter of the column were studied.
      
It was shown that the peak resolution is improved with an increase in the rotational speed of the column and a decrease in the flow rate of the mobile phase.
      
The best peak separation was attained using columns for which the ratio of the column rotation radius to the radius of column revolution was 0.615.
      
Under optimized conditions (pH = 4.0; flow rate, 5 mL min-1) nickel (II) was retained on the column.
      
The nickel collected on the column was eluted with 5 mL of 0.5 M nitric acid.
      
 

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