Some examples and use cases from the internet:

Some examples and use cases from the internet:

• Jul 9, 2015 ... experimental treatment or not. Mathematically, this is formulated as checking the following inequality involving a Bayesian posterior probability ...
• Dec 19, 2007 ... and checking the following inequality : vW 1,p. 0. (?)/Ker B ? C (fY p(?) + g. W. ? 1p ,p. (?1). ). (15). Proof
• Jan 27, 2011 ... We checkt to see of the point is in fact inside the circle, this is done by checking the following inequality. x^2 + y^2 < R^2. We keep track of the ...
• ing property by checking the following inequality : prog ? prog · m1 · prog · m2 · prog. The less than or equal operator (?) is defined such that a ? b is.
• As we have done in the theorem 2.2, ...

• since g is nondecreasing on the range of f, and therefore,. \begin{align}g(t)\mu( A_t)&= The desired inequality follows from dividing the above inequality by g(t).
• Theorem 2 of Hoeffding (1963) is a generalization of the above inequality when it is known that Xi are strictly bounded by the intervals [ai,bi]: \begin{align} ...
• Poincaré ...
• ... "greater than" points, you would have shaded to the right. In all, we have seen four ways, with a couple variants, to denote the solution to the above inequality: ...
• is the average value of u over ?, with |?| standing for the Lebesgue measure of the domain ?. When ? is a ball, the above inequality is called a (p,p)