i.e. X can be written as a sum of three outer products of the respective component vectors, which constitute rank-1 matrices. Let A := [a1, a2, a3] and B := [b1, b2, b3], and X can be expressed as X = AB. Note the trivial fact that ATTB = X for any invertible T; hence, given X, infinitely many (A, B) pairs can potentially give rise to X. Unless some additional structure is assumed or JOURNAL OF...

Chemometrics is the field of science covering the development and application of mathematical and statistical methods to identify important chemical information. It is indispensable in the evaluation of experimental results and suitable for exploration of large data sets. Within the Trans2Care project we intend to apply chemometrics methods in several areas related to the problems explored by t...

in this research, gold nanoparticles were synthesized and functionalized by the antibody of aflatoxins. the quenching of the fluorescence of excitation emission matrices (eem) of two type of aflatoxins (b1, g1), provoked by the gold nanoparticles, was studied by principal component analysis (pca) and multivariate curve resolution with alternating least squares (mcr-als). these aflatoxins show q...

Chemometrics has been used for some 30 years but there is still need for disseminating the potential benefits to a wider audience. In this paper, we claim that proper analytical chemistry (1) must in fact incorporate a chemometric approach and (2) that there are several significant advantages of doing so. In order to explain this, an indirect route will be taken, where the most important benefi...

General ideas of robust statistics, and specifically robust statistical methods for calibration and dimension reduction are discussed. The emphasis is on analyzing high-dimensional data. The discussed methods are applied using the packages chemometrics and rrcov of the statistical software environment R. It is demonstrated how the functions can be applied to real high-dimensional data from chem...

A fundamental task in science and technology is searching for relationships between data sets, e. g., modeling a PROPERTY y by one or several VARIABLES x. Often a desired property cannot be determined directly or only with high cost. In contrary some x-data may be easily available. Depending on how well known and how strictly defined the relationship between x and y is, we can distinguish diffe...

Chemometrics is a scientific discipline closely connected with statistics and mathematics. It has an important role in analytical chemistry. Modern analytical methods provide opportunity to collect large amounts of data for various samples. For handling analytical results different chemometric methods are employed, such as basic statistical methods for the determination of mean and median value...

It's not surprisingly when entering this site to get the book. One of the popular books now is the chemometrics data analysis for the laboratory and chemical plant. You may be confused because you can't find the book in the book store around your city. Commonly, the popular book will be sold quickly. And when you have found the store to buy the book, it will be so hurt when you run out of it. T...

The discipline of chemometrics is rooted in analytical chemistry. Currently, however, the application range of chemometrical techniques is being widened to molecular questions as well, addressing molecular conformations and behaviour. With the increasing availability of databases through the world-wide web, the need for techniques that help extracting information from data is greater than ever....