Arithmetic sequences are a fundamental concept in mathematics that allows us to study ordered sets separated by a constant difference. They help us understand linear patterns in various real-world ...

Sequences are ordered lists of objects that follow specific patterns or rules. Each number in the sequence is called a term. Sequences can be classified as arithmetic or geometric. Arithmetic ...

% ARITHMETIC_ENCODE_RECURSIVE Recursive function for arithmetic encoding. % Takes a lower bound a, an upper bound b, a probability distribution p and % a message. Returns the encoded message as a ...

Abstract: An exact recursive formula is derived to describe the structure of an ideal first-order /spl Sigma/-/spl Delta/ output sequence as a function of its input. Specifically, it is shown that ...

A finite series is a summation of a specified number of terms in a sequence, often represented mathematically as the sum of a_i, where i ranges from 1 to n. The subject of finite series proves to be ...

In this note a recursive type condition for positivity of the angle between past and future for q-variate stationary sequences is provided. In the case q = 2 it gives a simple different proof of a ...

Abstract: This study proposes modular arithmetic erasure channels (MAECs), a novel class of erasure-like channels with an input alphabet that need not be binary. This class contains the binary erasure ...