In computational complexity theory, R is the class of decision problems solvable by a Turing machine, which is the set of all recursive languages (also called decidable languages). (Wikipedia).
R programming for Beginners | R programming for data Science
R is a programming language and free software environment for statistical computing and graphics supported by the R Foundation for Statistical Computing. The R language is widely used among statisticians and data miners for developing statistical software and data analysis. This video is a
From playlist Programming
1.6 Arrays and matrices in R | statistical analysis and data science course Rstudio | Dimensional
In this chapter of the video series in the crash course in statistics and data science with R / Rstudio we will see the definition, utilization, and importance of arrays with R. Also, we discuss their extension from vectors to matrices. Part 1: Definition - What is an array? - Array or
From playlist R Tutorial | Rstudio
In this lesson we learn about the most basic compound data type in R: the vector. Vectors in R are essentially lists of values of the same basic data type. R vectors are great for data analytics and data science because many common functions are built to operate on entire vectors all at on
From playlist Introduction to R
R Programming: Introduction: List data structure (R Intro-02)
[My R notebook file script is here https://github.com/bionicturtle/youtube/tree/master/r-intro] Unlike atomic vectors, list (vectors) are flexible: each element can be a different type (char, integer, numeric, logical or even a sub-list!). List[i] returns the i-th element as a list, while
From playlist R Programming: Intro
In this lesson we learn about matrices: two-dimensional data structures in R with rows and columns. Matrices are a building block to learning about more complicated tabular data structures like data frames which are used extensively in data science. This is lesson 6 of a 30-part introduct
From playlist Introduction to R
Introduction to R: Data Frames
Data Frames in R are data structures that store tabular data with rows and columns similar to an excel spreadsheet. Data Frames are among the most common data structures for working with data in R and many data reading functions load data into R in the form of data frames. They are analogo
From playlist Introduction to R
Introduction to R: Reading and Writing Data
In the real world you'll typically access data that exists outside of R and then read that data into your programming environment to conduct your analysis. R contains a variety of functions, both built-in and available in packages to load in data in a wide variety of formats. In this les
From playlist Introduction to R
1.5 Matrices and operations in R | statistical analysis and data science course Rstudio | Algebra
In this chapter of the video series in the crash course in statistics and data science with R / Rstudio we will see the definition, utilization, and importance of matrices with R. Also, we discuss the different algebraic operations like sum, subtraction and multiplication, as well as inver
From playlist R Tutorial | Rstudio
You can go a long way in R doing data science using functions built into the base language or available in packages, but sooner or later you'll probably need to write custom code to perform an operation that is not available in a prepackaged function. In this lesson, we learn how to create
From playlist Introduction to R
Akhil Mathew - Some recent advances in syntomic cohomology (3/3)
Bhatt-Morrow-Scholze have defined integral refinements $Z_p(i)$ of the syntomic cohomology of Fontaine-Messing and Kato. These objects arise as filtered Frobenius eigenspaces of absolute prismatic cohomology and should yield a theory of "p-adic étale motivic cohomology" -- for example, the
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)
A Gentle Approach to Crystalline Cohomology - Jacob Lurie
Members’ Colloquium Topic: A Gentle Approach to Crystalline Cohomology Speaker: Jacob Lurie Affiliation: Professor, School of Mathematics Date: February 28, 2022 Let X be a smooth affine algebraic variety over the field C of complex numbers (that is, a smooth submanifold of C^n which can
From playlist Mathematics
Commutative algebra 63: Koszul complex
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We define the Koszul complex of a sequence of elements of a ring, and show it is exact if the sequence is regular. This gives
From playlist Commutative algebra
Eugene Gorsky - Algebra and Geometry of Link Homology 1/5
Khovanov and Rozansky defined a link homology theory which categorifies the HOMFLY-PT polynomial. This homology is relatively easy to define, but notoriously hard to compute. I will discuss recent breakthroughs in understanding and computing Khovanov-Rozansky homology, focusing on connecti
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
[Lesson 27.5 optional] QED Prerequisites Scattering 4.5 An application of Cauchy's Theorem
THis is a supplemental lecture to Scattering 4. In this lesson we practice using complex contour integration to evaluate one of the standard integrals used in the development of the formula of stationary phase. This lesson exercises the use of Cauchy's Theorem and Jordan's Lemma. Note: th
From playlist QED- Prerequisite Topics
Digression: The cotangent complex and obstruction theory
We study the cotangent complex more in depth and explain its relation to obstruction theory. As an example we construct the Witt vectors of a perfect ring. This video is a slight digression from the rest of the lecture course and could be skipped. Feel free to post comments and questions
From playlist Topological Cyclic Homology
Lecture 4: The Connes operator on HH
Correction: The formula we give for the Connes operator B is slightly wrong, there needs to be a '+' instead of a '-' in between the two summands. In this video, we discuss the Connes operator on Hochschild homology. Feel free to post comments and questions at our public forum at https:
From playlist Topological Cyclic Homology
Lecture 3: Classical Hochschild Homology
In this video, we introduce classical Hochschild homology and discuss the HKR theorem. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-muenster.de/IVV5WS/Web
From playlist Topological Cyclic Homology
Using Factors - Introduction to R Programming - Part 8
When working with categorical data or categories, it is useful to treat these as factor levels. Learn how to cast character strings or numbers as factors so that they are treated as categories. -- Learn more about Data Science Dojo here: https://datasciencedojo.com/data-science-bootcamp/
From playlist Introduction to R Programming
Samir Shukla (3/31/23): Vietoris-Rips complexes of hypercube graphs
In this talk, we discuss the Vietoris-Rips complexes of hypercube graphs. These questions on hypercubes arose from work by Kevin Emmett, Raúl Rabadán, and Daniel Rosenbloom related to the persistent homology formed from genetic trees, reticulate evolution, and medial recombination. A (fin
From playlist Vietoris-Rips Seminar