I. Formulation

Group Brain Imaging Phase I - Problem Formulation

Formulation of the learning problem, Part I

Now that we have seen an informal statement of the learning problem, as well as acquired some technical tools in the form of concentration inequalities, we can proceed to define the learning problem formally. Recall that the basic goal is to be able to predict some random variable Y of interest from a correlated random observation X , where the predictor is to be constructed on the basis of n i...

Fibre bundle formulation of nonrelativistic quantum mechanics I

We propose a new systematic fibre bundle formulation of nonrelativistic quantum mechanics. The new form of the theory is equivalent to the usual one but it is in harmony with the modern trends in theoretical physics and potentially admits new generalizations in different directions. In it a pure state of some quantum system is described by a state section (along paths) of a (Hilbert) fibre bund...

Mouth Dissolving Tablets I: An Overview of Formulation Technology

Methods to improve patient’s compliance have always attracted scientists towards the development of fancy oral drug delivery systems. Among them, mouth dissolving drug delivery systems (MDDDS) have acquired an important position in the market by overcoming previously encountered administration problems and contributing to extension of patent life. MDDDS have the unique property of rapidly disin...

Differential geometry based solvation model I: Eulerian formulation

This paper presents a differential geometry based model for the analysis and computation of the equilibrium property of solvation. Differential geometry theory of surfaces is utilized to define and construct smooth interfaces with good stability and differentiability for use in characterizing the solvent-solute boundaries and in generating continuous dielectric functions across the computationa...