Reichenbach’s Transcendental Probability

The Transcendental Meditation Program and a Compound Probability Model as Predictors of Crime Rate Change

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 Elitism

On Transcendental Numbers

Transcendental numbers play an important role in many areas of science. This paper contains a short survey on transcendental numbers and some relations among them. New inequalities for transcendental numbers are stated in Section 2 and proved in Section 4. Also, in relationship with these topics, we study the exponential function axioms related to the Yang-Baxter equation.

Algebraic and Transcendental Numbers

To begin with, recall that a complex number α is said to be a root of a polynomial P (X) if P (α) = 0. A complex number α is said to be algebraic if there is a nonzero polynomial P (X), with integer coefficients, of which α is a root. The set of algebraic numbers is denoted by Q̄. A complex number α which is not algebraic is said to be transcendental. The following numbers are obviously algebrai...

Deciding polynomial-transcendental problems

This paper presents a decision procedure for a certain class of sentences of first order logic involving integral polynomials and a certain specific analytic transcendental function trans(x) in which the variables range over the real numbers. The list of transcendental functions to which our decision method directly applies includes exp(x), the exponential function with respect to base e, ln(x)...