Argh.

[Nanuq]

It seems that it's an endless wait for my new watch to arrive in the mail. But on second thought... is it really?

The cumulative distribution function of the normal distribution is expressed in terms of the density function as follows:

where the standard normal cdf Φ is just the general cdf evaluated with μ = 0 and σ = 1:

The standard normal cdf can be expressed in terms of a special function called the error function, as

and the cdf itself can hence be expressed as

The inverse standard normal cumulative distribution function, or quantile function, can be expressed in terms of the inverse error function:

and the inverse cumulative distribution function can hence be expressed as

For large x the standard normal cdf is close to 1 and is close to 0. The elementary bounds

in terms of the density are useful. Using the substitution v = u2/2, the upper bound is derived as follows:

Similarly, using and the quotient rule,

Solving for provides the lower bound.

Meaning... it will get here when it gets here.

[georgegrasser]

TTK quantum theory?

[Cats]

Might not be his theory but he certainly has heard from it

cats