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**experiment**E(S,F,P) is defined (Papoulis 1984, p. 30) as a mathematical object consisting of the following elements. 1. A set S (the probability space) of elements. 2. A ...A probabilistic

**experiment**is an occurrence such as the tossing of a coin, rolling of a die, etc. in which the complexity of the underlying system leads to an outcome that ...The first

**Morley**triangle DeltaA^'B^'C^', also simply known as "**Morley's**triangle", is the triangle constructed from pairwise intersections of the angle trisectors of a given ...The geometric centroid of the first

**Morley**triangle, which is also the center of**Morley's**circle, is called the first**Morley**center. It has triangle center function ...The first

**Morley**center is the center of**Morley's**circle. It has triangle center function alpha_(356)=cos(1/3A)+2cos(1/3B)cos(1/3C) and is Kimberling center X_(356).The first

**Morley**cubic is the triangle cubic with trilinear equation sum_(cyclic)alpha(beta^2-gamma^2)[cos(1/3A)+2cos(1/3B)cos(1/3C)]. It passes through Kimberling centers ...**Morley's**circle is the circumcircle of the first

**Morley**triangle. Its center is the first

**Morley**center, which has center function alpha_(356)=cos(1/3A)+2cos(1/3B)cos(1/3C), ...

The points of intersection of the adjacent angle trisectors of the angles of any triangle DeltaABC are the polygon vertices of an equilateral triangle DeltaDEF known as the ...

sum_(k=0)^(infty)[((m)_k)/(k!)]^3 = 1+(m/1)^3+[(m(m+1))/(1·2)]^3+... (1) = (Gamma(1-3/2m))/([Gamma(1-1/2m)]^3)cos(1/2mpi), (2) where (m)_k is a Pochhammer symbol and Gamma(z) ...

The second

**Morley**cubic is the triangle cubic with trilinear equation It passes through Kimberling centers X_n for n=1, 1134, 1135, 1136, and 1137....