A transcendental number is one that is not the root of any non-zero polynomial having integer coefficients. It immediately follows that no rational number q is transcendental, since q can be written as a/b where a and b are integers, and thus q is a root of bx − a. Furthermore, the transcendentals are a proper subset of the irrationals, since for example the irrational √ 2 is a root of x − 2. T...

α is algebraic if there exists p ∈ Z[x], p 6= 0 with p(α) = 0, otherwise α is called transcendental . Cantor: Algebraic numbers are countable, so transcendental numbers exist, and are a measure 1 set in [0, 1], but it is hard to prove transcendence for any particular number. Examples of (proported) transcendental numbers: e, π, γ, e, √ 2 √ 2 , ζ(3), ζ(5) . . . Know: e, π, e, √ 2 √ 2 are transce...

This study tested the prediction that increased coherence of collective consciousness would be found in cities upon reaching the threshold level of one percent participation in the Transcendental Meditation (TM) program, and that this increased coherence would be reflected in decreased rates of suicides and auto accidents. The sample consisted of an experimental group of cities which reached th...

Longitudinal reductions in biological age were observed in participants in the Transcendental Meditation and TM-Sidhi programme. Over an eighteen-month period, average biological age decreased from 7.5 years younger than chronological age to 10.6 years younger. Duration of practice of the Transcendental Meditation and TM-Sidhi programme was correlated with the degree to which both biological an...

Bhaskar's Views on Transcendental-Critical Research in Education M. Poorkarimi, Ph.D. A.R. Saadeghzaadeh, Ph.D. K. Baagheri, Ph.D. M. Mehrmohammadi, Ph.D. To explain Bhaskar's views on the very essence of transcendental-critical research and the way it can be conducted in the field of education a deductive approach is taken. This type of research assumes a structured uni...