The relational calculus consists of two calculi, the tuple relational calculus and the domain relational calculus, that are part of the relational model for databases and provide a declarative way to specify database queries. The raison d'être of the relational calculus is the formalization of query optimization, which is finding more efficient manners to execute the same query. The relational calculus is similar to the relational algebra, which is also part of the relational model: While the relational calculus is meant as a declarative language which prescribes no execution order on the subexpressions of a relational calculus expression, the relational algebra is meant as an imperative language: the sub-expressions of a relational algebraic expressions are meant to be executed from left-to-right and inside-out following their nesting. Per Codd's theorem, the relational algebra and the domain-independent relational calculus are logically equivalent. (Wikipedia).
Calculus 1.1d - The word `Calculus`
A brief discuss of the word "Calculus" and its meaning and use
From playlist Calculus Chapter 1
Relational Databases (part 1 of 6)
The essential concepts of relational databases. Part of a larger series teaching programming. Visit codeschool.org
From playlist Relational Databases
Relational Databases (part 4 of 6)
The essential concepts of relational databases. Part of a larger series teaching programming. Visit codeschool.org
From playlist Relational Databases
Relational Databases (part 6 of 6)
The essential concepts of relational databases. Part of a larger series teaching programming. Visit codeschool.org
From playlist Relational Databases
Python Programming 6. Relational Operators
This is the sixth in a course of computer science video lessons introducing programming with Python. It covers the If statement in more detail, in particular, performing tests on numeric values with relational operators. These include: equal to, greater than , greater than or equal to, l
From playlist GCSE Computer Science
MySQL SQL Statements Tutorial 1
Here I explain what SQL is & show many statements in sql. I explain what a database is, what SQL is, explain RDMS, show you how to create a table and explain every SQL Data Type.
From playlist SQL Tutorial
Reflexive Relations and Examples
Let A be a set. A relation R on A is a subset of A x A. Let R be a relation on A. We say R is reflexive of aRa for all a in A. In this video we go over this definition more carefully and we do several examples where we determine if the relation is reflexive. I hope this helps someone who i
From playlist Relations
Understand Calculus In 10 Minutes – Part 2 Derivatives and Rate of Change
Recommended Book: https://amzn.to/3gNPSal Understand Calculus to include derivatives and rate of change. This video will cover a basic calculus problem using the first derivatives.
From playlist Calculus
Lecture 2: The Curry-Howard correspondence
This talk gives an elementary introduction to some central ideas in the theory of computation, including lambda calculus and its relation to category theory. The aim was to get to the statement of the Curry-Howard correspondence, but we ran out of time; at some point there will be another
From playlist Topos theory seminar
Two Equivalence Classes [a] and [b] Are Equal If and Only If a is Related to b
In this video I prove a statement surrounding relations. We have an equivalence relation on a set A and we have to show that the equivalence class of a is equal to the equivalence class of b if and only if a is related to b. If you enjoyed this video please consider liking, sharing, and
From playlist Relations
Prove that R is an Equivalence Relation on Z: xRy if x + 3y is even
In this video we define a relation R on the set of integers Z as follows: We say x R y if x + 3y is even. We prove that R is an equivalence relation on Z. To do this we show that R is reflexive, symmetric, and transitive. The pencils I used in this video: https://amzn.to/3bCpvpt The pape
From playlist Relations
The Strange Case of the Umbral Calculus
In the XIX century a toolbox of algebraic manipulations that look like nonsense became popular as a starting point for proofs of properties of numerical sequences, particularly the Bernoulli numbers and Euler numbers. This later on became known as the Umbral Calculus. In this video I show
From playlist Summer of Math Exposition Youtube Videos
Stepan Kuznetsov: Relational models for the Lambek calculus with intersection and unit
HYBRID EVENT Recorded during the meeting "19th International Conference on Relational and Algebraic Methods in Computer Science" the November 5, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other t
From playlist Logic and Foundations
Important Math Proof: The Set of Equivalence Classes Partition a Set
In this video I prove a very important result in mathematics. Given an equivalence relation R on a nonempty set A, the set S of equivalence classes of A is a partition of A. Stated another way, this result says we can write A as a disjoint union of equivalence classes. The pencils I used
From playlist Relations
Math 1A/1B. Pre-Calculus: Relation Versus Functions
UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Relation Versus Functions View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More cours
From playlist Math 1A/1B: Pre-Calculus - Functions and Graphs
Analyzing related rates problems: equations (Pythagoras) | AP Calculus AB | Khan Academy
Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/ab-4-4/v/related-rates-example-with-trigonometry A crucial part of solving related rates problems is picking an equation that correc
From playlist Contextual applications of differentiation | AP Calculus AB | Khan Academy
An introduction to the Tropical calculus | Data Structures in Mathematics Math Foundations 158
We give a short informal introduction to the Tropical calculus, which for us is a novel way of working with the algebra of sets and multisets. This involves defining rather unusual notions of addition and multiplication-- coming from union and addition respectively. **********************
From playlist Math Foundations