CONVERGENCE IN DISTRIBUTION !F)!F)!F)!F)!F)!F)!F)!F)!F)!F)!F)!F
... extracted some set of values from the original sequence. The proof of this statement is itself interesting, but we’ll simply take it as true and use it in the development that follows. Now… let’s find the subsequence of { Fn } that converges. Let x1, x2, x3, … be a listing of all the rational number ...
... extracted some set of values from the original sequence. The proof of this statement is itself interesting, but we’ll simply take it as true and use it in the development that follows. Now… let’s find the subsequence of { Fn } that converges. Let x1, x2, x3, … be a listing of all the rational number ...
Matlab Deliverable 1: The Mandelbrot Set
... found everywhere, and it’s likely that an image of the Mandelbrot set comes to mind when the word fractal comes up. Like most fractals, the Mandelbrot set is computed using a few very simple rules which can easily be programmed in Matlab. The fundamental rule of the Mandelbrot set can be stated math ...
... found everywhere, and it’s likely that an image of the Mandelbrot set comes to mind when the word fractal comes up. Like most fractals, the Mandelbrot set is computed using a few very simple rules which can easily be programmed in Matlab. The fundamental rule of the Mandelbrot set can be stated math ...
Sequence
In mathematics, a sequence is an ordered collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Formally, a sequence can be defined as a function whose domain is a countable totally ordered set, such as the natural numbers.For example, (M, A, R, Y) is a sequence of letters with the letter 'M' first and 'Y' last. This sequence differs from (A, R, M, Y). Also, the sequence (1, 1, 2, 3, 5, 8), which contains the number 1 at two different positions, is a valid sequence. Sequences can be finite, as in these examples, or infinite, such as the sequence of all even positive integers (2, 4, 6,...). In computing and computer science, finite sequences are sometimes called strings, words or lists, the different names commonly corresponding to different ways to represent them into computer memory; infinite sequences are also called streams. The empty sequence ( ) is included in most notions of sequence, but may be excluded depending on the context.