Arithmetic functions | Integer sequences
In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers. An integer sequence may be specified explicitly by giving a formula for its nth term, or implicitly by giving a relationship between its terms. For example, the sequence 0, 1, 1, 2, 3, 5, 8, 13, ... (the Fibonacci sequence) is formed by starting with 0 and 1 and then adding any two consecutive terms to obtain the next one: an implicit description. The sequence 0, 3, 8, 15, ... is formed according to the formula n2 − 1 for the nth term: an explicit definition. Alternatively, an integer sequence may be defined by a property which members of the sequence possess and other integers do not possess. For example, we can determine whether a given integer is a perfect number, even though we do not have a formula for the nth perfect number. (Wikipedia).
Introduction to Sequences (Discrete Math)
This video introduces sequences for a discrete math class. mathispower4u.com
From playlist Sequences (Discrete Math)
What is an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is the definition of an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is the formula for the rule for the nth term of a arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Finding the rule of the sequence using multiplication and addition
👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence
From playlist Sequences
What is the difference between finite and infinite sequences
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
This video introduces sequences. http://mathispower4u.yolasite.com/
From playlist Infinite Series
Finding the rule for our sequence using multiplication and subtraction
👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence
From playlist Sequences
How to find the rule of a arithmetic sequence given two values in the sequence
👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence
From playlist Sequences
Lecture 4 - Floors and Ceilings
This is Lecture 4 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2004.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Is there a sequence that includes every integer? - Week 1 - Lecture 16 - Sequences and Series
Subscribe at http://www.youtube.com/kisonecat
From playlist Ohio State: Calculus Two with Jim Fowler: Sequences and Series | CosmoLearning Mathematics
PotW: 5 Integers whose sum and product are less than 10 [Combinatorics]
Is this problem as easy as abc? For the written solution, check out the blog! https://centerofmathematics.blogspot.com/2019/11/potw-5-integers-whose-sum-and-product.html
From playlist Center of Math: Problems of the Week
Graph Theory: 44. Degree Sequence of a Tree
In this video I provide a proof of a necessary and sufficient condition for a sequence of positive integers to be a degree sequence of a tree. Bits of Graph Theory by Dr. Sarada Herke. Links to the related videos: http://youtu.be/aNKO4ttWmcU - Graph Theory: 42. Degree Sequences and Graph
From playlist Graph Theory part-8
Florian Pausinger: Part 3: Greedy energy minimization and thevan der Corput sequence
VIRTUAL LECTURE Recording during the meeting "Discrepancy Theory and Applications". Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywo
From playlist Jean-Morlet Chair - Tichy/Rivat
Real numbers Cauchy construction
Cauchy Construction of the Real Numbers In this video, I will show you how to construct the real numbers, but in a cool way! This approach does not use Dedekind cuts or Decimal expansions, but instead Cauchy sequences. Watch this video and be amazed! Dedekind Cuts: https://youtu.be/ZWRnZ
From playlist Sequences
Worldwide Calculus: Theorems on Sequences
Lecture on 'Theorems on Sequences' from 'Worldwide Integral Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Worldwide Single-Variable Calculus for AP®
Émilie Charlier: Logic, decidability and numeration systems - Lecture 1
Abstract: The theorem of Büchi-Bruyère states that a subset of Nd is b-recognizable if and only if it is b-definable. As a corollary, the first-order theory of (N,+,Vb) is decidable (where Vb(n) is the largest power of the base b dividing n). This classical result is a powerful tool in ord
From playlist Mathematical Aspects of Computer Science
Predicting the rules behind - Deep Symbolic Regression for Recurrent Sequences (w/ author interview)
#deeplearning #symbolic #research This video includes an interview with first author Stéphane d'Ascoli (https://sdascoli.github.io/). Deep neural networks are typically excellent at numeric regression, but using them for symbolic computation has largely been ignored so far. This paper use
From playlist Papers Explained
Given two terms find the rule of the arithmetic sequence
👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence
From playlist Sequences
1.11.4 Cantor's Theorem: Video
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015