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Epsilon is used with reference to sphericity. It is simply a value by which the degrees of freedom for the test of F ratio if multiplied.When epsilon is equal to 1 sphericity is met (hence no adjustment). When it is less than 1 the assumption the the covariances and variances are violated. Greenhouse Geisser epsilon is the most common.
A function f(x), of a variable x, is said to have a limiting value of f(xo) as x approaches x0 if, given any value of epsilon, however small, it is possible to find a value delta such that |f(x) - f(x0)| < epsilon for all x such that |x - x0| < delta.The second inequality can be one-sided.
Epsilon Tau Pi was created in 1999.
In the ancient system of Greek numbers it had the value 5. In calculus it is often used to represent very small values.
It can be just one more variable. In calculus, both delta and epsilon are used for quantities that can assume arbitrarily small values.