Logical calculi

Relational calculus

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).

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From playlist Calculus Chapter 1

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The essential concepts of relational databases. Part of a larger series teaching programming. Visit codeschool.org

From playlist Relational Databases

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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

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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

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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

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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

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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

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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

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From playlist Topos theory seminar

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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

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Prove that R is an Equivalence Relation on Z: xRy if x + 3y is even

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From playlist Relations

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The Strange Case of the Umbral Calculus

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From playlist Summer of Math Exposition Youtube Videos

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Stepan Kuznetsov: Relational models for the Lambek calculus with intersection and unit

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From playlist Logic and Foundations

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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

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Math 1A/1B. Pre-Calculus: Relation Versus Functions

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From playlist Math 1A/1B: Pre-Calculus - Functions and Graphs

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Analyzing related rates problems: equations (Pythagoras) | AP Calculus AB | Khan Academy

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From playlist Contextual applications of differentiation | AP Calculus AB | Khan Academy

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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

Related pages

Relational algebra | Codd's theorem | Query optimization | Tuple relational calculus | Logical equivalence | Domain relational calculus