In the analytic theory of continued fractions, a chain sequence is an infinite sequence {an} of non-negative real numbers chained together with another sequence {gn} of non-negative real numbers by the equations where either (a) 0 β€ gn < 1, or (b) 0 < gn β€ 1. Chain sequences arise in the study of the convergence problem β both in connection with the , and also as part of the theory of positive definite continued fractions. The infinite continued fraction of Worpitzky's theorem contains a chain sequence. A closely related theorem shows that converges uniformly on the closed unit disk |z| β€ 1 if the coefficients {an} are a chain sequence. (Wikipedia).
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
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 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
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 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 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 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 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
Sequences, On-Sequences and Clips | Algebraic Calculus One | Wild Egg
What exactly is a sequence? In this video we introduce a precise understanding of this important concept, and then also venture towards "on-going" or "boundless" or "infinite" sequences. We also introduce the idea of a "clip" of a sequence, which is a partial representation of a sequence
From playlist Algebraic Calculus One from Wild Egg
Biological Sciences M121. Immunology with Hematology. Lecture 07. Antibody Structure & B-Cells.
UCI BioSci M121: Immunology with Hematology (Fall 2013) Lec 07. Immunology with Hematology -- Antibody Structure & B-Cells -- View the complete course: http://ocw.uci.edu/courses/biosci_m121_immunology_with_hematology.html Instructor: David A. Fruman, Ph.D. License: Creative Commons CC-BY
From playlist Biological Sciences M121: Immunology with Hematology
Protein evolution (Lecture - 01) by Lucy Colwell
Winter School on Quantitative Systems Biology DATE:04 December 2017 to 22 December 2017 VENUE:Ramanujan Lecture Hall, ICTS, Bengaluru The International Centre for Theoretical Sciences (ICTS) and the Abdus Salam International Centre for Theoretical Physics (ICTP), are organizing a Winter S
From playlist Winter School on Quantitative Systems Biology
Stable Homotopy Seminar, 11: Stable Model Categories and Triangulated Categories
(Note: I messed up the first recording and had to re-record the first 20 minutes of this.) I show that cofiber sequences agree with fiber sequences in Spectra, or indeed in any pointed model category where suspension is invertible. The homotopy category of such a model category is a highly
From playlist Stable Homotopy Seminar
DeepMind's AlphaFold 2 Explained! AI Breakthrough in Protein Folding! What we know (& what we don't)
#deepmind #biology #ai This is Biology's AlexNet moment! DeepMind solves a 50-year old problem in Protein Folding Prediction. AlphaFold 2 improves over DeepMind's 2018 AlphaFold system with a new architecture and massively outperforms all competition. In this Video, we take a look at how
From playlist Papers Explained
Charles Weibel: K-theory of algebraic varieties (Lecture 2)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Charles Weibel: K theory of algebraic varieties Abstract: Lecture 1 will present definitions for the Waldhausen K-theory of rings, varieties, additive and exact categories, and dg c
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Arthur Mallay Lesk, The architecture of proteins - 8 maggio 2019
https://www.sns.it/it/evento/the-architecture-of-proteins Colloquio della Classe di Scienze Arthur Mallay Lesk (Penn State University) The architecture of proteins Abstract Proteins present us with a great variety of three-dimensional structures, selected to adopt unique folding patter
From playlist Colloqui della Classe di Scienze
30. Immunology 1 β Diversity, Specificity, & B cells
MIT 7.016 Introductory Biology, Fall 2018 Instructor: Adam Martin View the complete course: https://ocw.mit.edu/7-016F18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63LmSVIVzy584-ZbjbJ-Y63 Professor Martin introduces the topic of immunity, defined as resistance to d
From playlist MIT 7.016 Introductory Biology, Fall 2018
Γlvaro Torras Casas (8/5/20): The Persistence Mayer-Vietoris spectral sequence
Title: The Persistence Mayer Vietoris spectral sequence Abstract: In this talk, I will give a brief introduction to the persistent Mayer-Vietoris spectral sequence. The original motivation for studying this object comes from the need to parallelize persistent homology computations. The st
From playlist AATRN 2020
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