The distribution of the roots of a second order transcendental polynomial is analyzed, and it is used for solving the purely imaginary eigenvalue of a transcendental characteristic equation with two transcendental terms. The results are applied to the stability and associated Hopf bifurcation of a constant equilibrium of a general reaction–diffusion system or a system of ordinary differential e...

NLCertify is a software package for handling formal certification of nonlinear inequalities involving transcendental multivariate functions. The tool exploits sparse semialgebraic optimization techniques with approximation methods for transcendental functions, as well as formal features. Given a box and a transcendental multivariate function as input, NLCertify provides OCaml libraries that pro...

When proving it is impossible to ‘square’ the circle by a ruler–and–compass construction we have to appeal to the theorem that π is transcendental. It is our goal to prove this theorem. Since the algebraic numbers are the roots of integer polynomials, they are countably many. Cantor’s proof in 1874 of the uncountability of the real numbers guaranteed the existence of (uncountably many) transcen...

In this article, an account is given of the relation between naturalism and transcendentalism in the current project of naturalizing phenomenology. This project usually takes the transcendental point of view to be in conflict with the naturalizing attitude and the contemporary sciences of cognition thus seem to require cutting Husserlian phenomenology from its anti-naturalist roots, i.e., natur...

The concept of “number” has formed the basis of civilzation since time immemorial. Looking back from our vantage point of the digital age, we can agree with Pythagoras that “all is number”. The study of numbers and their properties is the mathematical equivalent of the study of atoms and their structure. It is in fact more than that. The famous physicist and Nobel Laureate Eugene Wigner spoke o...

This study of the effects of the Transcendental Meditation program on drug abuse was performed to determine what therapeutic value the practice of the Transcendental Meditation technique has in reducing the use of nonprescribed drugs. Ten experimental and ten control subjects, matched for past drug use, were monitored for drug consumption over a three-month period. Subjects in the experimental ...

The combined effects of counseling and the Transcendental Meditation program were compared with the effect of the Transcendental Meditation program alone and counseling alone on three groups of young adults over an eight-week period. Changes in locus of control, present-orientation, and self-support were measured using the Adult NowickiStrickland Internal/External Locus of Control Scale and the...

This essay explores the practical significance of Michel Henry's "material phenomenology." Commencing with an exposition of his most basic philosophical intuition, i.e., his insight that transcendental affectivity is the primordial mode of revelation of our selfhood, the essay then brings to light how this intuition also establishes our relation to both the world and others. Animated by a radic...