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These lecture notes are based on a series of lectures given at the Nankai Institute of Mathematics in the fall of 1998. They provide an overview of the work of the author and the late Chih-Han Sah on various aspects of Hilbert's Third Problem: Are two Euclidean polyhedra with the same volume "scissors-congruent", i.e. can they be subdivided into finitely many pairwise congruent pieces? The book starts from the classical solution of this problem by M Dehn. But generalization to higher dimensions and other geometries quickly leads to a great variety of mathematical topics, such as homology of gr
Tetrahedra. --- Volume (Cubic content) --- Characteristic classes. --- Classes, Characteristic --- Differential topology --- Cubic measurement --- Volumetry --- Units of measurement --- Geometry, Solid --- Polyhedra --- Tetrahedra --- Characteristic classes
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This Brief describes the calibration of titration calorimeters (ITCs) and calculation of stoichiometry, equilibrium constants, enthalpy changes, and rate constants for reactions in solution. A framework/methodology for model development for analysis of ITC data is presented together with methods for assessing the uncertainties in determined parameters and test data sets. This book appeals to beginners, as well as to researchers and professionals in the field.
Volumetric analysis. --- Calorimetry. --- Chemistry. --- Molecular biology. --- Physical chemistry. --- Physical measurements. --- Measurement. --- Physical Chemistry. --- Measurement Science and Instrumentation. --- Molecular Medicine. --- Calorimeters and calorimetry --- Temperature measurements --- Analysis, Volumetric --- Titration --- Chemistry, Analytic --- Volume (Cubic content) --- Quantitative --- Chemistry, Physical organic. --- Medicine. --- Clinical sciences --- Medical profession --- Human biology --- Life sciences --- Medical sciences --- Pathology --- Physicians --- Chemistry, Physical organic --- Chemistry, Organic --- Chemistry, Physical and theoretical --- Measurement . --- Molecular biochemistry --- Molecular biophysics --- Biochemistry --- Biophysics --- Biomolecules --- Systems biology --- Measuring --- Mensuration --- Mathematics --- Technology --- Metrology --- Physical measurements --- Measurements, Physical --- Mathematical physics --- Measurement --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Measuring instruments. --- Medicine --- Biology --- Biomedical Research. --- Research. --- Biological research --- Biomedical research --- Health Workforce --- Instruments, Measuring --- Measuring tools --- Scientific apparatus and instruments --- Instruments
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