One of the biggest milk thistle benefits is that it preserves glutathione. The modern American diet, pollution, toxins, medications, stress, trauma, aging, infections and radiation all work to deplete liver capabilities and also glutathione in the body.
So we see that the Gamma function is a generalization of the factorial function. Since at integer points, the value of the Gamma function is given by the factorial, it follows that the Gamma function grows to infinity even faster than exponentials. Definition. For x,y positive we define the Beta function by. Using the substitution u = 1 - t it is easy to see that.
And then, from the fact the sum of two gammas (with the same scale parameter) equals another gamma, it follows that the gamma is equivalent to the sum of $k$ squared normal random variables. $$ N^2_\Sigma(x; k, \sigma^2) = \operatorname{Gamma}(x; \frac{k}{2}, 2 \sigma^2) $$. This was a bit surprising to me.