It is known that, for a transcendental entire function f, the Hausdorff dimension of J( f ) satisfies 1% dim J( f )% 2. For each d ` (1, 2), an example of a transcendental entire function f with dim J( f ) ̄ d is given. It is then indicated how this function can be modified to produce a transcendental meromorphic function F with one pole with dim J(F ) ̄ d. These appear to be the first examples o...

We prove that every rational angled hyperbolic triangle has transcendental side lengths and that every rational angled hyperbolic quadrilateral has at least one transcendental side length. Thus, there does not exist a rational angled hyperbolic triangle or quadrilateral with algebraic side lengths. We conjecture that there does not exist a rational angled hyperbolic polygon with algebraic side ...

modern scientific cosmology, having grounded itself in materialism, rebuts any theocentric explanation of the world as unnecessary and irrational. stephan hawking, being a prominent figure in this field, seeks to demonstrate that the world has come to existence by chance or necessity through an antitheistic argument based on big bang theory. regarding the metaphysical dimensions of the discours...

intelligence, spirituality and, consequently, spiritual intelligence (sq) have different definitions. intelligence means the abilities of the individual, which, based on the value system, is used for problem solving and adaptation to the environment. spirituality follows transcendental rules, to improve the infra-ego to the level of ego and improving the ego to the level of ultra-ego, as well a...

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Abstract As an expression of the complex global religious entanglements, esoteric knowledge did appeal also to Eastern Europe, in Romania being particularly imprinted by local discourses and practices characteristic Orthodox Christianity. This paper attempts briefly sketch indigenization “currents” such as alchemy, spiritualism, Theosophy, Anthroposophy, Traditionalism etc. Romania. Apart from ...

The percentage of participants in the Transcendental Meditation programme was found to be a reliable predictor of increased social order, as reflected by a decrease in crime rate, in cities of the Kansas City metropolitan area between 1974 and 1976. It was further found that crime rate began to decrease when numbers practising Transcendental Meditation reached one percent of a city's population...

Transcendental Brauer elements are notoriously difficult to compute. Work of Wittenberg, and later, Ieronymou, gives a method for computing 2-torsion transcendental classes on surfaces that have a genus 1 fibration with rational 2-torsion in the Jacobian fibration. We use ideas from a descent paper of Poonen and Schaefer to remove this assumption on the rational 2-torsion.