Wavelength distance

When a wave, such as that on the sea, travels in a particular direction, we can characterize it by a number of parameters - the velocity of travel, its amplitude (the height of the waves), its wavelength (distance between adjacent peaks), and its frequency (the number of waves per unit time). The simplest form of wave to consider is a sine wave, the equation for... 

Constructing the library. First, one must choose the PRM to be used (e.g. correlation, wavelength distance, Mahalanobis distance, residual variance, etc.), the choice being dictated by the specific purpose of the library. Then, one must choose constraction parameters such as the math pretreatment (standard... 

Herbal medicines Wavelength distance, residual variance, Mahalanobis distance and SIMCA PRMs comparison 70... 

Pharmaceuticals Correlation coefficient, wavelength distance, polar coordinates, gravity center, scanning probability windows PRMs comparison 73... 

Electron Compton wavelength. Distance between nucleons in deuteron. Proton Compton wavelength. 

Gemperline, P.J. and Boyer, N.R., Classification of near-infrared spectra using wavelength distances comparison to the Mahalanobis distance and residual variance methods, Anal. Chem., 67, 160-166, 1995. 

An extensive review of photostability testing has been published by Sandeep et al. (59). They discussed the properties of various photon sources and cabinets, along with the effects of wavelength, distance from the photon source, exposure... 

The Cl is the maximum Qw for that sample. The Cl values can be plotted in traditional control charts to monitor a process. The Cl described by Plugge and van Der Vlies is essentially the wavelength distance pattern recognition method available commercially [14],... 

The use of ultrasound has also enabled the development of a new, efficient method of separating particulate matter from a flowing material without the need for a filter membrane [80], One such process consists of a device comprised of two transducers set at a horizontal distance apart across the liquid-containing particles. If one transducer is activated and sets up a standing wave, then any particulate contaminant in the fluid is seen to collect rapidly in regions corresponding to 1/2 wavelength distances on the axis of the ultrasonic beam. If both transducers are... 

Wavelength distance measured perpendicular to the wavefront in the direction of propagation between two successive points in the wave. 

Gemperline, P.J. Boyer, N.R. (1995). Classification of near-infrared spectra using wavelength distances Comparisons to the Mahalanobis distance and Residual Variance methods. Analytical Chemistry. Vol.67, pp. 160-166. ISSN 0003-2700 Gonzalez, A.G. (2007). Use and misuse of supervised pattern recognition methods for interpreting compositional data. Journal of Chromatograpy A. Vol. 1158, pp. 215-225. ISSN 0021-9673... 

Wavelength Distance between two successive maxima (peaks) or two successive minima (troughs) of a wave. 

Wavelength Distance a photon travels in the time that it takes for it to complete one period of its wave motion. 

Gemperline et al. discussed an improved methodology for wavelength distance measurements in an article comparing Mahalanobis distance and SIMCA [15]. Gemperline et al. have normalized the Cl value to account for sample size and to allow for qualitative decisions to be made according to a probability threshold by comparison to critical t values, rather than a Qx threshold. 

On large data sets (greater than 14 samples) the SIMCA and Mahalanobis distance methods perform better than the wavelength distance method because they use estimates of the underlying population variance/covariance matrix for sample classification. As the size of the training set decreases, the accuracy of the population variance/covariance matrix estimates decreases, and performance of the Mahalanobis distance and SIMCA methods is reduced. In such cases where small training sets are used, the wavelength distance method may perform better because its univariate means and standard deviations are likely estimated with more certainty than the multivariate means and variance/covariance matrices used by the Mahalanobis distance and SIMCA methods. 

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