Exponentials their origins and destiny

Ordinary differential equations and their exponentials

In the context of Synthetic Differential Geometry, we discuss vector fields/ordinary differential equations as actions; in particular, we exploit function space formation (exponential spaces) in the category of actions. c © Central European Science Journals. All rights reserved.

Human embryonic stem cells assemble and fulfill their developmental destiny.

How do we study the endocrine cell differentiation of the placenta? The accepted course of action dictates that you use primary trophoblast cell cultures derived from human placentas. This is accomplished using methods to isolate cytotrophoblasts that possess the potential to spontaneously differentiate into endocrinologically active syncytial trophoblast within a prescribed period of time (1)....

Ophiolites and Their Origins

Ophiolites are the remnants of ancient oceanic crust and upper mantle that were tectonically emplaced into continental margins. They display the only evidence for magmatic, tectonic, and hydrothermal processes associated with seafl oor spreading prior to 170 Ma because no oceanic lithosphere older than this age is preserved in the modern oceans. The occurrence of sheeted dikes, side-byside tabu...

On Generalized Gaussian Quadratures\ for Exponentials and Their Applications

We introduce new families of Gaussian-type quadratures for weighted integrals of exponential functions and consider their applications to integration and interpolation of bandlimited functions. We use a generalization of a representation theorem due to Carathéodory to derive these quadratures. For each positive measure, the quadratures are parameterized by eigenvalues of the Toeplitz matrix con...

Bivariate Exponentials, Dual Counting Processes and Their Intensities