Generalized rank annihilation method. III: Practical implementation

Generalized Rank Annihilation Method . 111 : Practical Implementation

Derivation of the generalized rank annihilation method (GRAM)

Introduction The generalized rank annihilation method (GRAM) is a method for curve resolution and calibration that requires only a single calibration sample to obtain the socalled second-order advantage, i.e., it can determine the analyte of interest in the presence of unsuspected interferences [1]. GRAM is only one of many competing methods that can be applied to this particular data set-up. H...

Simultaneous spectrofluorometric determination of piroxicam and pyridoxine using generalized rank annihilation method.

The application of generalized rank annihilation method (GRAM) to the analysis of fluorescence excitation-emission matrices of mixtures of piroxicam and pyridoxine is described. The input of GRAM consists of two bilinear data matrices, i.e. one for unknown and one for the calibration sample. The excitation wavelength range was from 290 to 340 nm and the emission was recorded from 370 to 560 nm....

Practical Implementation of Rank and Select Queries

Research on succinct data structures has made significant progress in recent years. An essential building block of many of those techniques is a data structure to perform rank and select operations over a bit array. The first operation tells how many bits are set up to some position, and the second the position of the i-th bit set. Albeit there exist constanttime solutions that require sublinea...

GENERALIZED HIGHER-RANK NUMERICAL RANGE

In this note, a generalization of higher rank numerical range isintroduced and some of its properties are investigated