Polynomials | Sequences and series
In mathematics, a polynomial sequence is a sequence of polynomials indexed by the nonnegative integers 0, 1, 2, 3, ..., in which each index is equal to the degree of the corresponding polynomial. Polynomial sequences are a topic of interest in enumerative combinatorics and algebraic combinatorics, as well as applied mathematics. (Wikipedia).
What is the formula for the rule for the nth term of a arithmetic sequence
π 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
π 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
π 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 difference between finite and infinite sequences
π 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 an arithmetic sequence
π 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 recursive formula and how do we use it
π 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 are the formulas for arithmetic and geometric sequences
π 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 alternate in sign sequence
π 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 a geometric sequence
π 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
Big O notation is simpler than you might think
Big O notation is a very popular topic, in contexts such as algorithms and P vs NP. In this video, I attempt to explain big O notation using only basic arithmetic, so that these other topics can be enjoyed by everyone! Timestamps: Intro: 00:00 Eventuality: 00:28 Deltas: 03:54 Stolz-Ces
From playlist Summer of Math Exposition Youtube Videos
Z Transform, a tool for solving difference equations
Difference equations, which are equations about sequences, can be solved easier with Z-Transform. Made by: Ali Hadizadeh Moghadam Background music: https://www.youtube.com/watch?v=neV3EPgvZ3g The original comic used in the intro made by: Hannah Hillam Keywords: Z-Transform, Difference Equ
From playlist Summer of Math Exposition Youtube Videos
A Non-flag Arithmetic Regularity Lemma and Counting Lemma - Daniel Altman
Special Year Informal Seminar Topic: A Non-flag Arithmetic Regularity Lemma and Counting Lemma Speaker: Daniel Altman Affiliation: University of Oxford Date: March 10, 2023 We will discuss a version of the Green--Tao arithmetic regularity lemma and counting lemma which works in the gener
From playlist Mathematics
Lecture 10 - Generating Functions
This is Lecture 10 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%2010.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Seminar on Applied Geometry and Algebra (SIAM SAGA): Elisa Gorla
For more information, see our website: http://wiki.siam.org/siag-ag/index.php/Webinar Date: Tuesday, September 14 at 11:00am Eastern time zone Speaker: Elisa Gorla, University of NeuchΓ’tel Title: Multivariate cryptography and the complexity of polynomial system solving Abstract: T
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
Solving difference equations in sequences It is known that a finite system of algebraic difference equations has a solution in the ring of sequences if and only if the difference ideal it generates contains 1. Moreover, there exists an algorithm that determines whether or not 1 lies in th
From playlist DART X
Polynomial Fitting for Sequences [Discrete Math Class]
This video is not like my normal uploads. This is a supplemental video from one of my courses that I made in case students had to quarantine. In this video, we discuss the discrete difference operator on sequences. We investigate how to tell if a sequence has a closed form given by a polyn
From playlist Finite Sums
Polynomial Progressions in Topological Fields and Their Applications to Pointwise... - Mariusz Mirek
Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: Polynomial Progressions in Topological Fields and Their Applications to Pointwise Convergence Problems Speaker: Mariusz Mirek Affiliation: Member, School of Mathematics Date: March 02, 2023 We will discuss mu
From playlist Mathematics
Lec 5 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 5: The z-transform Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES6-008S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
MAST30026 Lecture 16: Stone-Weierstrass theorem (Part 1)
The Weierstrass approximation theorem says that an arbitrary continuous function on a finite closed interval can be approximated uniformly by polynomials to any desired degree of accuracy. I proved this theorem using Bernstein polynomials. Lecture notes: http://therisingsea.org/notes/mas
From playlist MAST30026 Metric and Hilbert spaces
Finding the rule of the sequence using multiplication and addition
π 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