A singular value decomposition (SVD)-based chemometric method is used for deconvolution of spectral information obtained from a single sample containing an equilibrium system with spectral overlapping at different temperatures. The output of analysis is the association constants at each temperature, thermodynamic parameters and the component spectral profiles. Thermodynamic characterization of ...

In What is Philosophy? the distinguished philosopher Dietrich von Hildebrand analyses the datum of knowledge itself in its different forms, from the most casual perception of some object in our naïve experience to "a priori knowledge," taken as consisting of absolutely certain insights into "necessary essences." Plato's central teaching about that kind of human knowledge which transcends the wo...

We develop foundational tools for classifying extremality of minimal valid functions for the kdimensional infinite group problem. In particular, (1) we present the general regular solution to Cauchy’s additive functional equation on bounded convex domains. This provides a k-dimensional generalization of the so-called interval lemma, allowing us to deduce affine properties from certain additivit...

One of the biggest threats to dignity human person which characterizes today’s thinking is reduction one constitutive aspect: body, subjectivity, relationality, and like. Based on philosophy Dietrich von Hildebrand, paper demonstrates how six false dichotomies a similar kind are resolved, namely: spirit substance relation, subjectivity objectivity, Eigenleben transcendence, affectivity rational...

Starting in 1965, M. Hildebrand developed criteria to classify quadrupedal gaits by two numbers, the lag of footfall of ipsilateral feet and the duty factor. He compared over 150 different species of animals using this method [1, 2]. The gaits were categorized into two groups: symmetrical gaits and asymmetrical gaits, and analyzed separately. This method allows a graphical classification of gai...