In mathematics, and specifically in functional analysis, the Lp sum of a family of Banach spaces is a way of turning a subset of the product set of the members of the family into a Banach space in its own right. The construction is motivated by the classical Lp spaces. (Wikipedia).
Ever wondered what a partial sum is? The simple answer is that a partial sum is actually just the sum of part of a sequence. You can find a partial sum for both finite sequences and infinite sequences. When we talk about the sum of a finite sequence in general, we’re talking about the sum
From playlist Popular Questions
Can you evaluate this limit with a sum? Subscribe to my channel: https://youtube.com/drpeyam Check out my TikTok channel: https://www.tiktok.com/@drpeyam Follow me on Instagram: https://www.instagram.com/peyamstagram/ Follow me on Twitter: https://twitter.com/drpeyam Teespring merch: http
From playlist Integrals
Sum of 1/n^6 In this video, I calculate the sum of 1/n^6 using a powerful method called Parseval's identity, which can be used to calculate other fun sums as well. It's a must-see for everyone who likes calculus and integrals. Enjoy! Sum of 1/n^2: https://www.youtube.com/watch?v=YMleINbi
From playlist Integrals
Determining the sum of a geometric sum when there is no sum
👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term
From playlist Series
Finding the sum or an arithmetic series using summation notation
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
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From playlist Calc 1
Using sigma sum notation to evaluate the partial sum
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
What is the sum of an arithmetic series using the sum formula
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Learn to use summation notation for an arithmetic series to find the sum
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=BYR1fXW95zY&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
Larry Guth (MIT) - 1/3 Introduction to decoupling [MSRI 2017]
notes for this talk: https://docs.google.com/viewer?url=https://www.msri.org/workshops/803/schedules/21800/documents/3002/assets/27993 Introductory Workshop: Harmonic Analysis January 23, 2017 - January 27, 2017 Introduction to decoupling January 23, 2017 (02:00 PM PST - 03:00 PM PST) Sp
From playlist Number Theory
[BOURBAKI 2017] 17/06/2017 - 2/4 - Lillian PIERCE
The Vinogradov Mean Value Theorem [after Bourgain, Demeter and Guth, and Wooley] ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/InHe
From playlist BOURBAKI - 2017
Michal Pilipczuk: Introduction to parameterized algorithms, lecture I
The mini-course will provide a gentle introduction to the area of parameterized complexity, with a particular focus on methods connected to (integer) linear programming. We will start with basic techniques for the design of parameterized algorithms, such as branching, color coding, kerneli
From playlist Summer School on modern directions in discrete optimization
Bourgain’s Work on Restriction and Decoupling - Larry Guth
Honoring the Life and Work of Jean Bourgain Topic: Bourgain’s Work on Restriction and Decoupling Speaker: Larry Guth Date: June 1, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Karthik Chandrasekaran: lp-Norm Multiway Cut
In lp-norm multiway cut, the input is an undirected graph with non-negative edge weights along with k terminals and the goal is to find a partition of the vertex set into k parts each containing exactly one terminal so as to minimize the lp-norm of the cut values of the parts. This is a un
From playlist Workshop: Approximation and Relaxation
The Lp Norm for Vectors and Functions
In this video, we expand on the idea of L1 and L2 norms, introduced in the previous video to the more general Lp norm. We will get explain how the norms are calculated and try to get an intuition of the differences between the different Lp norms. Chapters 0:00 - Introduction 1:15 - Lp No
From playlist Approximation Theory
Functional Analysis - Part 23 - Dual space - Example
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Watch the whole series: https://bright.jp-g.de/functional-analysis/ Functional analysis series: https://www.youtube.com/playlist?list=PLBh2i93oe2qsGKDOsuVVw-OCA
From playlist Functional analysis
Lecture 14: Basic Hilbert Space Theory
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=EBdgFFf54U0&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
series of n/2^n as a double summation
We will evaluate the infinite series of n/2^n by using the double summation technique. Thanks to Johannes for the solution. Summation by parts approach by Michael Penn: https://youtu.be/mNIsJ0MgdmU Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo 💪 Support this channe
From playlist Sum, math for fun
Xu Zhendong - From the Littlewood-Paley-Stein Inequality to the Burkholder-Gundy Inequality
We solve a question asked by Xu about the order of optimal constants in the Littlewood-Paley-Stein inequality. This relies on a construction of a special diffusion semi-group associated with a martingale which relates the Littlewood G-function with the martingale square function pointwise.
From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”