Complexity classes | Mathematical logic hierarchies | Computability theory | Effective descriptive set theory
In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene–Mostowski hierarchy (after mathematicians Stephen Cole Kleene and Andrzej Mostowski) classifies certain sets based on the complexity of formulas that define them. Any set that receives a classification is called arithmetical. The arithmetical hierarchy is important in recursion theory, effective descriptive set theory, and the study of formal theories such as Peano arithmetic. The Tarski–Kuratowski algorithm provides an easy way to get an upper bound on the classifications assigned to a formula and the set it defines. The hyperarithmetical hierarchy and the analytical hierarchy extend the arithmetical hierarchy to classify additional formulas and sets. (Wikipedia).
The successor - limit hierarchy | Data Structures in Mathematics Math Foundations 180
Addition, multiplication and exponentiation are just the first three arithmetical operations on a fascinating ladder of operations which ascends to dizzying heights. Here we introduce this fascinating successor-limit hierarchy using the notions of successor and diagonal limit that we discu
From playlist Math Foundations
What is an arithmetic sequence
👉 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
👉 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
An exploration of the Hierarchy of Operations for the SoME1 competition by 3Blue1Brown.
From playlist Summer of Math Exposition Youtube Videos
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
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
What are the formulas for arithmetic and geometric sequences
👉 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
Anders Hansen: What is the Solvability Complexity Index SCI....
Anders Hansen: What is the Solvability Complexity Index (SCI) of your problem? - On the SCI Hierarchy and the foundations of computational mathematics Abstract: This talk addresses some of the fundamental barriers in the theory of computations. Many computational problems can be solved as
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
Wolfram Physics Project: Axiomatization of the Computational Universe Tuesday, Feb. 16, 2021
This is a Wolfram Physics Project working session about the axiomatization of the Computational Universe. Begins at 1:36 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announceme
From playlist Wolfram Physics Project Livestream Archive
November 1, 2006 lecture by William Dally for the Stanford University Computer Systems Colloquium (EE 380). A discussion about the exploration of parallelism and locality with examples drawn from the Imagine and Merrimac projects and from three generations of stream programming systems.
From playlist Course | Computer Systems Laboratory Colloquium (2006-2007)
Distinguished Visitor Lecture Series Finding randomness Theodore A. Slaman University of California, Berkeley, USA
From playlist Distinguished Visitors Lecture Series
The successor-limit hierarchy and ordinals II | Data structures Math Foundations 183
This video is a continuation of MF181, in which we reviewed and extended the successor-limit hierarchy of very big arithmetical operations. In this video we want to compare this hierarchy with ordinal numbers in modern set theory. Sadly, modern set theory is a theory without a proper fou
From playlist Math Foundations
Exception Handling In Java | Exception Handling In Java With Examples | Java Tutorial | Edureka
🔥 Java Certification Training: https://www.edureka.co/java-j2ee-training-course This Edureka tutorial on “Java Exception Handling” will give you a brief insight into Exceptions in Java and its various methods to handle the Exceptions along with examples. Through this video, you will learn
From playlist Java Tutorial For Beginners | Edureka
How to determine if an sequence is arithmetic or not
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. 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 seque
From playlist Sequences
Infinite Sets and Foundations (Joel David Hamkins) | Ep. 17
Joel David Hamkins is a Professor of Logic with appointments in Philosophy and Mathematics at Oxford University. His main interest is in set theory. We discuss the field of set theory: what it can say about infinite sets and which issues are unresolved, and the relation of set theory to ph
From playlist Daniel Rubin Show, Full episodes
Pablo Azar Massachusetts Institute of Technology April 2, 2012 We study a new type of proof system, where an unbounded prover and a polynomial time verifier interact, on inputs a string xx and a function ff, so that the Verifier may learn f(x)f(x). The novelty of our setting is that there
From playlist Mathematics
1966 Control Data Corporation CDC 3600 Supercomputer, Computer History Film
A unique 1966 film by CSIRO showing how computers can help with classification of data, utilizing a Control Data Corporation CDC 3600 Supercomputer. - Nicely filmed and narrated, it covers the whole cycle of data collection, formatting, input, verification, processing and output in a v
From playlist Computers of the 1960's
How to find the rule of a arithmetic sequence given two values in the sequence
👉 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