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Mathematical Relationship (mathematical + relationship)
Selected AbstractsLinear Expression of the Mathematical Relationship between Electroosmotic Mobility and Buffer ConcentrationCHINESE JOURNAL OF CHEMISTRY, Issue 1 2006Xu Xu Abstract It was believed that electroosmotic mobility ,eo is inversely proportional to the square root of the ionic strength I. But the linear relationship for regression analysis was expressed differently in different papers. The paper studied the linear expression of the mathematical relationship between ,eo and c (background buffer concentration) by mathematical transform and real experimental data. ,eo values of fused silica capillary were determined in four buffer systems. Their experimental conditions were controlled carefully for decreasing temperature difference ,T and pH difference ,pH in 50 µm ID capillary, in which no double layer overlap existed. The linear relationship between the reciprocal of electroosmotic mobility and the square root of concentration (or ionic strength) was derived by mathematical method. The regression analysis of experimental data was shown to well correspond to the relationship. The constants in regression equation could be well defined and the calculated results were acceptable. [source] On the equivalence of the Rietveld method and the correlated integrated intensities method in powder diffractionJOURNAL OF APPLIED CRYSTALLOGRAPHY, Issue 4 2004William I. F. David The Rietveld method is the most straightforward and statistically correct approach for the refinement of crystal structure parameters from powder diffraction data. The equivalent two-stage approach, involving the refinement of structural parameters based on integrated intensities extracted using the Pawley method, is extremely useful in circumstances such as the global optimization methods of structure determination, where a great many refinements need to be performed very quickly. The equivalence is emphasized in a simple mathematical relationship between the goodness of fits obtained in Rietveld, Pawley and correlated integrated intensities refinements. A rationale is given for determining the estimated standard deviations for structural variables from powder diffraction data. [source] CONSUMER ACCEPTABILITY, SENSORY AND INSTRUMENTAL ANALYSIS OF PEANUT SOY SPREADSJOURNAL OF FOOD QUALITY, Issue 1 2003N.J. DUBOST ABSTRACT Textural properties of commercial peanut butter, commercial soy nut spread and three formulated peanut soy spreads with 8, 14, and 20% isolated soy protein were characterized using the Texture Analyser TA.TX2® Significant differences were found between the textural parameters of the treatments (,=0.05). Testing of color, aroma and textural attributes by a descriptive analysis panel indicated significant differences existed between the treatments. Based on consumer acceptability testing using a three-point acceptability scale, the three peanut soy spreads were acceptable products. A mathematical relationship (R2= 0.5) existed between the sensory descriptor aroma and consumer acceptability, and between superior quality (tastes great) and aroma and mouthcoating. No significant relationships were observed between instrumental and consumer acceptability testing. [source] Linear Expression of the Mathematical Relationship between Electroosmotic Mobility and Buffer ConcentrationCHINESE JOURNAL OF CHEMISTRY, Issue 1 2006Xu Xu Abstract It was believed that electroosmotic mobility ,eo is inversely proportional to the square root of the ionic strength I. But the linear relationship for regression analysis was expressed differently in different papers. The paper studied the linear expression of the mathematical relationship between ,eo and c (background buffer concentration) by mathematical transform and real experimental data. ,eo values of fused silica capillary were determined in four buffer systems. Their experimental conditions were controlled carefully for decreasing temperature difference ,T and pH difference ,pH in 50 µm ID capillary, in which no double layer overlap existed. The linear relationship between the reciprocal of electroosmotic mobility and the square root of concentration (or ionic strength) was derived by mathematical method. The regression analysis of experimental data was shown to well correspond to the relationship. The constants in regression equation could be well defined and the calculated results were acceptable. [source] | ||||||||||