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Relation Database

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  1. Relation Database Definition
  2. Relation Database Definition

Set up, operate, and scale a relational database in the cloud with just a few clicks.

Applies to: SQL Server 2016 (13.x) and later Azure SQL Database Azure SQL Managed Instance. This article describes how to create foreign key relationships in SQL Server 2019 (15.x) by using SQL Server Management Studio or Transact-SQL. You create a relationship between two tables when you want to associate rows of one table with rows of another. Amazon Relational Database Service (Amazon RDS) makes it easy to set up, operate, and scale a relational database in the cloud. It provides cost-efficient and resizable capacity while automating time-consuming administration tasks such as hardware provisioning, database setup, patching and backups.

Amazon Relational Database Service (Amazon RDS) makes it easy to set up, operate, and scale a relational database in the cloud. It provides cost-efficient and resizable capacity while automating time-consuming administration tasks such as hardware provisioning, database setup, patching and backups. It frees you to focus on your applications so you can give them the fast performance, high availability, security and compatibility they need.

Amazon RDS is available on several database instance types - optimized for memory, performance or I/O - and provides you with six familiar database engines to choose from, including Amazon Aurora, PostgreSQL, MySQL, MariaDB, Oracle Database, and SQL Server. You can use the AWS Database Migration Service to easily migrate or replicate your existing databases to Amazon RDS.

Easy to administer

Amazon RDS makes it easy to go from project conception to deployment. Use the Amazon RDS Management Console, the AWS RDS Command-Line Interface, or simple API calls to access the capabilities of a production-ready relational database in minutes. No need for infrastructure provisioning, and no need for installing and maintaining database software.

Highly scalable

You can scale your database's compute and storage resources with only a few mouse clicks or an API call, often with no downtime. Many Amazon RDS engine types allow you to launch one or more Read Replicas to offload read traffic from your primary database instance.

Available and durable

Amazon RDS runs on the same highly reliable infrastructure used by other Amazon Web Services. When you provision a Multi-AZ DB Instance, Amazon RDS synchronously replicates the data to a standby instance in a different Availability Zone (AZ). Amazon RDS has many other features that enhance reliability for critical production databases, including automated backups, database snapshots, and automatic host replacement.

Fast

Amazon RDS supports the most demanding database applications. You can choose between two SSD-backed storage options: one optimized for high-performance OLTP applications, and the other for cost-effective general-purpose use. In addition, Amazon Aurora provides performance on par with commercial databases at 1/10th the cost.

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Secure

Amazon RDS makes it easy to control network access to your database. Amazon RDS also lets you run your database instances in Amazon Virtual Private Cloud (Amazon VPC), which enables you to isolate your database instances and to connect to your existing IT infrastructure through an industry-standard encrypted IPsec VPN. Many Amazon RDS engine types offer encryption at rest and encryption in transit.

Inexpensive

Impresso pro 1 8 7 – transform photos into paintings. You pay very low rates and only for the resources you actually consume. In addition, you benefit from the option of On-Demand pricing with no up-front or long-term commitments, or even lower hourly rates via our Reserved Instance pricing.

Featured RDS customers

Featured RDS Partners

Apps Associate is an APN Partner and Oracle expert who can migrate enterprise workloads to the cloud, freeing customers to focus on higher-value initiatives. Join our webinar to hear how Apps Associates helps customers move to Amazon Aurora.

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Rackpace is an APN Partner that can help you implement modern application development best practices with Amazon Aurora so you can keep pace with customer and business requirements. Read the ebook to learn how Rackspace helped TotalTrax automate processes and meet increasing demand.

Use cases

Web and mobile applications

Relation

Web and mobile applications that are built to operate at very large scale need a database with high throughput, massive storage scalability, and high availability. Amazon RDS fulfills the needs of such highly demanding applications with room for future growth. Since Amazon RDS does not have any licensing constraints, it perfectly fits the variable usage pattern of these applications.
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Airbnb chose Amazon RDS because it simplifies much of the time-consuming administrative tasks typically associated with databases. Airbnb uses Multi-Availability Zone (Multi-AZ) deployment to further automate its database replication and augment data durability. Airbnb was able to complete its entire database migration to Amazon RDS with only 15 minutes of downtime.

Ecommerce applications

Amazon RDS offers small and large ecommerce businesses a flexible, secured, highly scalable, and low-cost database solution for online sales and retailing. Amazon RDS provides a managed database offering helping ecommerce companies meet PCI compliance and focus on building high quality customer experiences without worrying about managing the underlying database.

To avoid the complexities of building a new production database from scratch, Instacart turned to Amazon RDS for their new same-day grocery delivery service. The company can now add millions of new items to its database every month and its engineering team can focus on developing new features and improving the overall customer experience.

Mobile and online games

Mobile and Online games need a database platform with high throughput and availability. Amazon RDS manages the database infrastructure so game developers don't have to worry about provisioning, scaling, or monitoring database servers. Amazon RDS provides familiar database engines that can rapidly grow capacity to meet user demand.

Bandai Namco Studios uses Amazon RDS to provide better performance, lower costs, better security, and greater availability for their arcade, social and mobile games. Bandai Namco saw the benefit in terms of reductions in overhead, especially when it came to adding, modifying, and removing server resources.

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Relation, tuple, and attribute represented as table, row, and column respectively.

In relational database theory, a relation, as originally defined by E. F. Codd,[1] is a set of tuples (d1, d2, .., dn), where each element dj is a member of Dj, a data domain. Codd's original definition notwithstanding, and contrary to the usual definition in mathematics, there is no ordering to the elements of the tuples of a relation.[2][3] Instead, each element is termed an attribute value. An attribute is a name paired with a domain (nowadays more commonly referred to as a type or data type). An attribute value is an attribute name paired with an element of that attribute's domain, and a tuple is a set of attribute values in which no two distinct elements have the same name. Thus, in some accounts, a tuple is described as a function, mapping names to values.

A set of attributes in which no two distinct elements have the same name is called a heading. It follows from the above definitions that to every tuple there corresponds a unique heading, being the set of names from the tuple, paired with the domains from which the tuple's domain elements are taken. A set of tuples that all correspond to the same heading is called a body. A relation is thus a heading paired with a body, the heading of the relation being also the heading of each tuple in its body. The number of attributes constituting a heading is called the degree, which term also applies to tuples and relations. The term n-tuple refers to a tuple of degree n (n ≥ 0).

E. F. Codd used the term 'relation' in its mathematical sense of a finitary relation, a set of tuples on some set of n sets S1, S2, .. ,Sn.[4] Thus, an n-ary relation is interpreted, under the Closed World Assumption, as the extension of some n-adic predicate: all and only those n-tuples whose values, substituted for corresponding free variables in the predicate, yield propositions that hold true, appear in the relation.

The term relation schema refers to a heading paired with a set of constraints defined in terms of that heading. A relation can thus be seen as an instantiation of a relation schema if it has the heading of that schema and it satisfies the applicable constraints.

Sometimes a relation schema is taken to include a name.[5][6] A relational database definition (database schema, sometimes referred to as a relational schema) can thus be thought of as a collection of named relation schemas.[7][8]

Relation Database Definition

In implementations, the domain of each attribute is effectively a data type[9] and a named relation schema is effectively a relation variable (relvar for short).

In SQL, a database language for relational databases, relations are represented by tables, where each row of a table represents a single tuple, and where the values of each attribute form a column.

Examples[edit]

Below is an example of a relation having three named attributes: 'ID' from the domain of integers, and 'Name' and 'Address' from the domain of strings:

ID (Integer)Name (String)Address (String)
102Yonezawa AkinoriNaha, Okinawa
202Nilay PatelSendai, Miyagi
104Murata MakotoKumamoto, Kumamoto
152Matsumoto YukihiroOkinawa, Okinawa

A predicate for this relation, using the attribute names to denote free variables, might be 'Employee number ID is known as Name and lives at Address'. Examination of the relation tells us that there are just four tuples for which the predicate holds true. So, for example, employee 102 is known only by that name, Yonezawa Akinori, and does not live anywhere else but in Naha, Okinawa. Also, apart from the four employees shown, there is no other employee who has both a name and an address.

Under the definition of body, the tuples of a body do not appear in any particular order - one cannot say 'The tuple of 'Murata Makoto' is above the tuple of 'Matsumoto Yukihiro', nor can one say 'The tuple of 'Yonezawa Akinori' is the first tuple.' A similar comment applies to the rows of an SQL table.

Under the definition of heading, the attributes of an element do not appear in any particular order either, nor, therefore do the elements of a tuple. A similar comment does not apply here to SQL, which does define an ordering to the columns of a table.

Relation variables[edit]

A relational database consists of named relation variables (relvars) for the purposes of updating the database in response to changes in the real world. An update to a single relvar causes the body of the relation assigned to that variable to be replaced by a different set of tuples. Relvars are classified into two classes: base relation variables and derived relation variables, the latter also known as virtual relvars but usually referred to by the short term view.

A base relation variable is a relation variable which is not derived from any other relation variables. In SQL the term base table equates approximately to base relation variable.

A view can be defined by an expression using the operators of the relational algebra or the relational calculus. Such an expression operates on one or more relations and when evaluated yields another relation. The result is sometimes referred to as a 'derived' relation when the operands are relations assigned to database variables. A view is defined by giving a name to such an expression, such that the name can subsequently be used as a variable name. (Note that the expression must then mention at least one base relation variable.)

By using a Data Definition Language (DDL), it is able to define base relation variables. In SQL, CREATE TABLE syntax is used to define base tables. The following is an example.

The Data Definition Language (DDL) is also used to define derived relation variables. In SQL, CREATE VIEW syntax is used to define a derived relation variable. The following is an example.

Relation Database Definition

See also[edit]

References[edit]

  1. ^E. F. Codd (Oct 1972). 'Further normalization of the database relational model'. Data Base Systems. Courant Institute: Prentice-Hall. ISBN013196741X. R is a relation on these n domains if it is a set of elements of the form (d1, d2, .., dn) where dj ∈ Dj for each j=1,2,..,n.
  2. ^C.J. Date (May 2005). Database in Depth. O'Reilly. p. 42. ISBN0-596-10012-4. .. tuples have no left-to-right ordering to their attributes ..
  3. ^E.F. Codd (1990). The Relational Model for Database Management, Version 2. Addison-Wesley. p. 3. ISBN0-201-14192-2. One reason for abandoning positional concepts altogether in the relations of the relational model is that it is not at all unusual to find database relations, each of which has as many as 50, 100, or even 150 columns.
  4. ^Codd, Edgar F (June 1970). 'A Relational Model of Data for Large Shared Data Banks'(PDF). Communications of the ACM. 13 (6): 377–87. doi:10.1145/362384.362685. The term relation is used here in its accepted mathematical sense
  5. ^Jeffrey D. Ullman (1989). Principles of Database and Knowledge-Base Systems. Jeffrey Ullman. pp. 410–. Retrieved 28 November 2012.
  6. ^Dennis Elliott Shasha; Philippe Bonnet (2003). Database Tuning: Principles, Experiments, and Troubleshooting Techniques. Morgan Kaufmann. p. 124. ISBN978-1-55860-753-8.
  7. ^Peter Rob; Carlos Coronel, Peter Rob (2009). Database Systems: Design, Implementation, and Management. Cengage Learning. pp. 190–. ISBN978-1-4239-0201-0. Retrieved 28 November 2012.
  8. ^T. A. Halpin; Antony J. Morgan (2008). Information Modeling and Relational Databases. Morgan Kaufmann. pp. 772–. ISBN978-0-12-373568-3. Retrieved 28 November 2012.
  9. ^Michael F. Worboys (1995). Gis: A Computing Perspective. Taylor & Francis. pp. 57–. ISBN978-0-7484-0065-2. Retrieved 22 November 2012.
  • Date, C. J. (2004). An Introduction to Database Systems (8 ed.). Addison–Wesley. ISBN978-0-321-19784-9.
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