In information science, formal concept analysis (FCA) is a principled way of deriving a concept hierarchy or formal ontology from a collection of objects and their properties. Each concept in the hierarchy represents the objects sharing some set of properties; and each sub-concept in the hierarchy represents a subset of the objects (as well as a superset of the properties) in the concepts above it. The term was introduced by Rudolf Wille in 1981, and builds on the mathematical theory of lattices and ordered sets that was developed by Garrett Birkhoff and others in the 1930s. Formal concept analysis finds practical application in fields including data mining, text mining, machine learning, knowledge management, semantic web, software development, chemistry and biology. (Wikipedia).
Logic: The Structure of Reason
As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be
From playlist Logic & Philosophy of Mathematics
How to evaluate an expression three terms
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Recursively Defined Sets - An Intro
Recursively defined sets are an important concept in mathematics, computer science, and other fields because they provide a framework for defining complex objects or structures in a simple, iterative way. By starting with a few basic objects and applying a set of rules repeatedly, we can g
From playlist All Things Recursive - with Math and CS Perspective
Basic Methods: We note the different methods of informal proof, which include direct proof, proof by contradiction, and proof by induction. We give proofs that sqrt(2) is irrational and that there are infinitely many primes, among others.
From playlist Math Major Basics
How to Identify the Elements of a Set | Set Theory
Sets contain elements, and sometimes those elements are sets, intervals, ordered pairs or sequences, or a slew of other objects! When a set is written in roster form, its elements are separated by commas, but some elements may have commas of their own, making it a little difficult at times
From playlist Set Theory
GTAC 2016: Using Formal Concept Analysis in Software Testing
Fedor Strok, Yandex/NRU HSE
From playlist GTAC 2016
Propositional Logic and the Algebra of Boole | MathFoundations273 | N J Wildberger
We give an overview of classical Propositional Logic, which is a branch of philosophy concerned with systematizing reason. This framework uses "atomic statements" called "propositions", and "relations", or "connectives", between them, prominently AND, OR, NOT, IMPLIES and EQUIVALENT, and t
From playlist Boole's Logic and Circuit Analysis
SEM114 - Theories of Word Meaning
In this E-Lecture Prof. Handke discusses several approaches towards the definition of word meaning, among them semantic fiels, componential analysis, meaning postulates and cognitive approaches, such as semantic networks and frames.
From playlist VLC103 - The Nature of Meaning
Learning to simplify a rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Legal Theorems of Privacy - Kobbi Nissim
Computer Science/Discrete Mathematics Seminar I Topic: Legal Theorems of Privacy Speaker: Kobbi Nissim Affiliation: Georgetown University Date: April 13, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
CERIAS Security: Categories of Digital Forensic Investigation Techniques 1/6
Clip 1/6 Speaker: Brian Carrier · Purdue University This talk examines formal concepts of digital forensic investigations. To date, the field has had an applied focus and little theory exists to formally define analysis techniques and requirements. This work defines an extended finite
From playlist The CERIAS Security Seminars 2006
Project Integration Management | CAPM® Certification Training
CAPM® Certification training course, with the continuation from part 1, this video starts with lesson 4 and 5 respectively – Project Integration Management and Project Scope Management. 🔥Free CAPM Course: https://www.simplilearn.com/capm-basics-skillup?utm_campaign=CAPM&utm_medium=Descript
From playlist CAPM Training Videos
John Harrison - Formalization and Automated Reasoning: A Personal and Historical Perspective
Recorded 13 February 2023. John Harrison of Amazon Web Services presents "Formalization and Automated Reasoning: A Personal and Historical Perspective" at IPAM's Machine Assisted Proofs Workshop. Abstract: In this talk I will try to first place the recent interest in machine-assisted proof
From playlist 2023 Machine Assisted Proofs Workshop
CERIAS Security: Categories of Digital Forensic Investigation Techniques 4/6
Clip 4/6 Speaker: Brian Carrier · Purdue University This talk examines formal concepts of digital forensic investigations. To date, the field has had an applied focus and little theory exists to formally define analysis techniques and requirements. This work defines an extended finite
From playlist The CERIAS Security Seminars 2006
Klaus Fredenhagen - Quantum Field Theory and Gravitation
The incorporation of gravity into quantum physics is still an essentially open problem. Quantum field theory under the influence of an external gravitational field, on the other side, is by now well understood. I is remarkable that, nevertheless, its consistent treatment required a careful
From playlist Trimestre: Le Monde Quantique - Colloque de clôture
Introduction to Predicate Logic
This video introduces predicate logic. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
CERIAS Security: Categories of Digital Forensic Investigation Techniques 3/6
Clip 3/6 Speaker: Brian Carrier · Purdue University This talk examines formal concepts of digital forensic investigations. To date, the field has had an applied focus and little theory exists to formally define analysis techniques and requirements. This work defines an extended finite
From playlist The CERIAS Security Seminars 2006
QED Prerequisites Geometric Algebra: Introduction and Motivation
This lesson is the beginning of a significant diversion from QED prerequisites. No student needs to understand Geometric Algebra in order to begin the study of QED. However, since we have pushed the formal structure of Maxwell's Equations as far as I know how to go, I think it makes sense
From playlist QED- Prerequisite Topics
Learn how to evaluate an algebraic expression, 3x^2 - 2yx - x + 4; x = -1 and y = -2
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations