Search Results for ""

The Moses circle is defined as the circle with center at the Brocard midpoint X_(39) that is tangent to the nine-point circle at the center of the Kiepert hyperbola X_(115). ...

The Wythoff array is an interspersion array that can be constructed by beginning with the Fibonacci numbers {F_2,F_3,F_4,F_5,...} in the first row and then building up ...

An interspersion array given by 1 2 3 5 8 13 21 34 55 ...; 4 6 10 16 26 42 68 110 178 ...; 7 11 18 29 47 76 123 199 322 ...; 9 15 24 39 63 102 165 267 432 ...; 12 19 31 50 81 ...

A ring is commutative if the multiplication operation is commutative.

A relation R on a set S is irreflexive provided that no element is related to itself; in other words, xRx for no x in S.

If a polynomial P(x) is divided by (x-r), then the remainder is a constant given by P(r).

A reflexive relation.

A set of four, also called a quartet.

A relation R on a set S is transitive provided that for all x, y and z in S such that xRy and yRz, we also have xRz.

The problem of determining how many nonattacking kings can be placed on an n×n chessboard. For n=8, the solution is 16, as illustrated above (Madachy 1979). In general, the ...