Central themes in the course are analytic and harmonic functions and their properties, power series and Laurent series, isolated singularities, Cauchy´s integral theorem and residue calculus, the ...

Lastly, a universality theorem for the iterated integrals of the logarithm of the Riemann zeta-function has been established, further illustrating the deep connections between zeta functions and ...

Article subjects are automatically applied from the ACS Subject Taxonomy and describe the scientific concepts and themes of the article. These continuum models are based on systems of partial ...

Depending on how the solution to the simplified problem is calculated, Green’s function may result as an integral or an infinite series, but it is finally presented in a closed form, because it is ...

Vector functions; div, grad and curl operators and vector operator identities. Line integrals, double integrals, Green's theorem. Surfaces (parametric form, 2nd-degree surfaces). Curvilinear ...

have a good grasp of the basic elements of complex analysis, including the important integral theorems. You will be able to determine the residues of a complex function and use the residue theorem to ...

We deal with the problem of bridging the gap between two scales in neuronal modeling. At the first (microscopic) scale, neurons are considered individually and their behavior described by stochastic ...

We managed to protect weak reflections by using the Cauchy distribution as the prior constraint and Bayes’ theorem for application. The statistical analysis of the work area logging data show that it ...

GENERALIZED VECTOR AND DYADIC ANALYSIS presents a copious list of vector and dyadic identities, along with various forms of Green's theorems with derivations. In addition, this edition presents an ...

Please ensure you check the module availability box for each module outline, as not all modules will run in each academic year. Each module description relates to the year indicated in the module ...

Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States ...