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Digit Characteristics in the Collatz 3n+1 Iterations
Digit Characteristics in the Collatz 3n+1 Iterations

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Full text

7.4c student activity #1
7.4c student activity #1

1. Sequences as Functions
1. Sequences as Functions

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COMMON FACTORS IN SERIES OF CONSECUTIVE TERMS

The Yellowstone permutation
The Yellowstone permutation

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The asymptotic equipartition theorem

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Notes on finding the Nth term in sequences using factoring

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Impulse Response Sequences and Construction of Number

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Chapter 14. More Fortran Elements: Random Number Generators

... chapter, properties of random number sequences and methods for the production of random number sequences will be discussed. 14.2 Properties of Random Number Sequences Figure 14.1 shows a random sequence of 200 numbers with values between 0 and 1. One of the properties of a random sequence is that al ...
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Sums of Digits and the Distribution of Generalized Thue

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The law of large numbers and AEP

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Sequences and Geometric Series

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Predicting Enzyme Function from Sequence: A Systematic Appraisal

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The structure of the Fibonacci numbers in the modular ring Z5

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IRS1 in Type 2 Diabetes

Infinite Series - El Camino College
Infinite Series - El Camino College

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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.
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