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A relation R on a set S is reflexive provided that xRx for every x in S.

An open connected set is called a region (sometimes also called a domain).

A shift in phase.

Let a number n be written in binary as n=(epsilon_kepsilon_(k-1)...epsilon_1epsilon_0)_2, (1) and define b_n=sum_(i=0)^(k-1)epsilon_iepsilon_(i+1) (2) as the number of digits ...

A position in a game is safe for a player A if the person who plays next (player B) will lose.

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

A formula is called satisfiable if it takes at least one true value in some interpretation.

Schmidt (1993) proposed the problem of determining if for any integer r>=2, the sequence of numbers {c_k^((r))}_(k=1)^infty defined by the binomial sums sum_(k=0)^n(n; ...

In the American system, 10^(54).

To multiply the size of a d-D object by a factor a, c=a^d copies are required, and the quantity d=(lnc)/(lna) is called the similarity dimension.