Search Results for ""

The lower-trimmed subsequence of x={x_n} is the sequence V(x) obtained by subtracting 1 from each x_n and then removing all 0s. If x is a fractal sequence, then V(x) is a ...

The Sierpiński carpet is the fractal illustrated above which may be constructed analogously to the Sierpiński sieve, but using squares instead of triangles. It can be ...

The depth of a box is the horizontal distance from front to back (usually not necessarily defined to be smaller than the width, the horizontal distance from side to side).

For a given function f(x) over a partition of a given interval, the lower sum is the sum of box areas m^*Deltax_k using the infimum m of the function f(x) in each subinterval ...

The width of a box is the horizontal distance from side to side (usually defined to be greater than the depth, the horizontal distance from front to back).

Math genius Charles Eppes refers to the game of chomp in the Season 4 episode "Chinese Box" (2007) of the television crime drama NUMB3RS.

For a given bounded function f(x) over a partition of a given interval, the upper sum is the sum of box areas M^*Deltax_k using the supremum M of the function f(x) in each ...

The Goffinet dragon is the fractal obtained by plotting all points spanned by powers of the complex number p=0.65-0.3i (Trott 2004, p. 9).

A number of fractal curves are associated with Peano. The Peano curve is the fractal curve illustrated above which can be written as a Lindenmayer system. The nth iteration ...

The upper-trimmed subsequence of x={x_n} is the sequence lambda(x) obtained by dropping the first occurrence of n for each n. If x is a fractal sequence, then lambda(x)=x.