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Let G be a graph, and suppose each edge of G is independently deleted with fixed probability 0<=p<=1. Then the probability that no connected component of G is disconnected as ...

A shift in phase.

The Rhind papyrus is a famous document from the Egyptian Middle Kingdom that dates to 1650 BC. It was purchased by Henry Rhind in Egypt in 1858, and placed in the British ...

An (n-2)-dimensional face of an n-dimensional polytope.

If the fourth moment mu_4!=0, then P(|x^_-mu_4|>=lambda)<=(mu_4+3(N-1)sigma^4)/(N^3lambda^4), where sigma^2 is the variance.

An operator definition of a function. A Rodrigues formula may be converted into a Schläfli integral.

A 1×n matrix [a_(11) a_(12) ... a_(1n)].

A surface possessing a saddle point.

Consider a game, first proposed by Nicolaus Bernoulli, in which a player bets on how many tosses of a coin will be needed before it first turns up heads. The player pays a ...

A point at which two noncrossing branches of a curve meet with different tangents.