Mathematical series | Complex analysis | Combinatorics | Algebra | Mathematical analysis

Series multisection

In mathematics, a multisection of a power series is a new power series composed of equally spaced terms extracted unaltered from the original series. Formally, if one is given a power series then its multisection is a power series of the form where p, q are integers, with 0 ≤ p < q. Series multisection represents one of the common transformations of generating functions. (Wikipedia).

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3_1 Introduction to Series

Introductory talk on series. Defining a series as a sequence of partial sums.

From playlist Advanced Calculus / Multivariable Calculus

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Sections and unirulings of families over the projective line - Alex Pieloch

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Sections and unirulings of families over the projective line Speaker: Alex Pieloch Affiliation: Columbia Date: November 5, 2021 We will discuss the existence of rational (multi)sections and unirulings for pr

From playlist Mathematics

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3_6_2 Alternating Series

The alternating series. Test for convergence.

From playlist Advanced Calculus / Multivariable Calculus

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Producing algebraic curves in projective families via Floer theory - Alex Pieloch

We will discuss the existence of rational (multi)sections and unirulings for projective families f:X→CP1 with at most two singular fibres. In particular, we will discuss two ingredients that are used to construct the above algebraic curves. The first is local symplectic cohomology groups a

From playlist Mathematics

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Helmut HOFER - 3/4 Polyfolds and the construction of Symplectic Field Theory

Topics: 1 Strong bundle structure and the CR-section as Fredholm functor. 2 Polyfold packaging of the SFT problem. 3 Smooth Multisection functors and smooth weighted subcategories. 4 Construction of sc^+ multisection functors. 5 Auxiliary norms and compactness control. 16 j

From playlist 2015 Summer School on Moduli Problems in Symplectic Geometry

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What the heck is a Multiverse?

The idea of a multiverse (short for multiple universes) can seem absurd. After all, the definition of universe means everything, so what does it mean to have multiple universes? In this video, Fermilab’s Dr. Don Lincoln lists a couple possible definitions for a multiverse. The reality in

From playlist Speculative Physics

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What is a series?

Definition and examples of series. In this video, I define the notion of a series using partial sums, and give a couple of examples of series. I also show the fact used in many times in calculus that a series converges if and only if it is bounded, which is used many times in calculus. Enj

From playlist Series

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How to operate multiple operations with Multi-Digit Numbers!

Division Coming in the future if people want it enough

From playlist Summer of Math Exposition Youtube Videos

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Étale cohomology - 10/13/2020

Purity, the Gysin sequence, cohomology of projective space, elementary fibrations, statement of Artin comparison

From playlist Étale cohomology and the Weil conjectures

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Electronic measurement equipment and multimeters - Part 1

In this video series I show different measurement equipment (multimeters, etc) and why / how I use them. In later videos I'll explore different features and highlight pro's and con's. A list of my multimeters can be purchased here: http://astore.amazon.com/m0711-20?_encoding=UTF8&node=

From playlist Electronic Measurement Equipment

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Prealgebra Lecture 4.3: How to Multiply and Divide Fractions

https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 4.3: Multiplying and Dividing Fractions

From playlist Prealgebra (Full Length Videos)

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Worldwide Calculus: Theorems on Series III: Series with Positive and Negative Terms

Lecture on 'Theorems on Series III: Series with Positive and Negative Terms' 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®

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Direct Comparison Test - Calculus 2

This calculus 2 video tutorial provides a basic introduction into the direct comparison test. If the big series converges, then the smaller series must also converge. Likewise, if the small series diverges, the big series must diverge as well. That's the basic idea of the direct compari

From playlist New Calculus Video Playlist

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Calculus 2 - Geometric Series, P-Series, Ratio Test, Root Test, Alternating Series, Integral Test

This calculus 2 video provides a basic review into the convergence and divergence of a series. It contains plenty of examples and practice problems. My E-Book: https://amzn.to/3B9c08z Video Playlists: https://www.video-tutor.net Homework Help: https://bit.ly/Find-A-Tutor Subscribe:

From playlist New Calculus Video Playlist

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Worldwide Calculus: Theorems on Series II: Non-negative Series

Lecture on 'Theorems on Series II: Non-negative Series' 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®

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Direct Comparison Test for Series 3 Examples Calculus 2 BC

I introduce the Direct Comparison Test for Series to help determine if they converge or diverge. The three examples start at 2:39 10:18 15:00 Limit Comparison Test https://www.youtube.com/watch?v=8QyiLX4v4Gw Check out http://www.ProfRobBob.com, there you will find my lessons organized b

From playlist Calculus 2

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3_3 The Harmonic Series

An example of a harmonic series.

From playlist Advanced Calculus / Multivariable Calculus

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Intro to series + the integral test

Free ebook http://tinyurl.com/EngMathYT A lecture introducing series and the integral test. Plenty of examples are presented on how to tell if a series converges or diverges. The ideas are seen in university mathematics.

From playlist A second course in university calculus.

Related pages

Analytic function | Geometric series | Generating function transformation | Even and odd functions | Closed-form expression | Thomas Simpson | Power series | Linear differential equation | Kronecker delta