Composite data types | Type theory | Data types
In programming languages and type theory, a product of types is another, compounded, type in a structure. The "operands" of the product are types, and the structure of a product type is determined by the fixed order of the operands in the product. An instance of a product type retains the fixed order, but otherwise may contain all possible instances of its primitive data types. The expression of an instance of a product type will be a tuple, and is called a "tuple type" of expression. A product of types is a direct product of two or more types. If there are only two component types, it can be called a "pair type". For example, if two component types A and B are the set of all possible values of that type, the product type written A × B contains elements that are pairs (a,b), where "a" and "b" are instances of A and B respectively. The pair type is a special case of the dependent pair type, where the type B may depend on the instance picked from A. In many languages, product types take the form of a record type, for which the components of a tuple can be accessed by label. In languages that have algebraic data types, as in most functional programming languages, algebraic data types with one constructor are isomorphic to a product type. In the Curry–Howard correspondence, product types are associated with logical conjunction (AND) in logic. The notion directly extends to the product of an arbitrary finite number of types (a n-ary product type), and in this case, it characterizes the expressions which behave as tuples of expressions of the corresponding types. A degenerated form of product type is the unit type: it is the product of no types. In call-by-value programming languages, a product type can be interpreted as a set of pairs whose first component is a value in the first type and whose second component is a value in the second type. In short, it is a cartesian product and it corresponds to a product in the category of types. Most functional programming languages have a primitive notion of product type. For instance, the product of type1, ..., typen is written type1*...*typen in ML and (type1,...,typen) in Haskell. In both these languages, tuples are written (v1,...,vn) and the components of a tuple are extracted by pattern-matching. Additionally, many functional programming languages provide more general algebraic data types, which extend both product and sum types. Product types are the dual of sum types. (Wikipedia).
Building A Product From The Ground Up
For most seasoned business owners and aspiring entrepreneurs, the product development process often carries a mystical aura. Product development refers to the complete process of taking a product to market. It also covers renewing an existing product and introducing an old product to a new
From playlist Product Development
Webinar: If I build it, will they come? Understanding Product-Market Fit
Learn more at: https://stanford.io/370yNcZ So your company has a product idea. How do you know if this product is worth building? Will there be a demand for it? Enter: product-market fit. Put simply, product-market fit means that there are enough people out there who will buy what your c
From playlist Leadership & Management
What It Takes To Become A Great Product Manager
You have probably heard other people refer to Product Managers as the “CEO of the product.” I disagree because product managers simply don’t have any direct authority over most of the things needed to make their products successful: from user and data research through design and developmen
From playlist Product Development
You Want to Be a Product Manager? 12-Step Guide
Whether you’re making a career change or striving to break into the industry for the first time, the path to becoming a product manager can be successfully navigated if approached properly. Watch this video to learn about the steps you need to take in order to become a successful Product
From playlist Product Manager
Product Management: Transforming Opportunities into Great Products
Join Stanford Online course "Product Management: Transforming Opportunities into Great Products". https://stanford.io/3OeEOCW Game-changing products come from all sorts of companies, and often reshape industries overnight. But what do these products have in common? They’re all created an
From playlist Product Management
The dependent product as universal construction
In this video I elaborate on the general arrow theoretic characterization of dependent product (or the dependent product functor) that exists in a Cartesian closed category. This is the dependent product that gives dependent product types its name, and it arises in concrete cases in geomet
From playlist Logic
Every Programming Language in (another) 15 Minutes: Data Types
A very brief survey of the most essential concepts about data types common to most programming languages. PUBLICATION PERMISSIONS: Original video was published with the Creative Commons Attribution license (reuse allowed) ATTRIBUTION CREDITS: Original video source: https://www.youtube.
From playlist Software Development
Category theory for JavaScript programmers #9: products in other categories
http://jscategory.wordpress.com/source-code/
From playlist Category theory for JavaScript programmers
Product Manager Roles And Responsibilities | Who Is A Product Manager? | Simplilearn
This video on who is a product manager by simplilearn is dedicated to helping aspiring product managers and professionals to have a detailed understanding on who is a product manager, skills required to become a product management professional and the roles and responsibilities of a produc
From playlist Product Management
How To Create Billing System In C# and ASP .NET | Session 04 | #programming
Don’t forget to subscribe! This project series will guide on how to create a billing system in C and ASP.NET This tutorial will cover all the details (resources, tools, languages etc) that are necessary to create a complete and operational web-based billing system in C# and ASP.NET. You
From playlist Create Billing System In C# and ASP .NET
How To Create Billing System In C# and ASP .NET | Session 12 | #programming
Don’t forget to subscribe! This project series will guide on how to create a billing system in C and ASP.NET This tutorial will cover all the details (resources, tools, languages etc) that are necessary to create a complete and operational web-based billing system in C# and ASP.NET. You
From playlist Create Billing System In C# and ASP .NET
How To Create Billing System In C# and ASP .NET | Session 08 | #programming
Don’t forget to subscribe! This project series will guide on how to create a billing system in C and ASP.NET This tutorial will cover all the details (resources, tools, languages etc) that are necessary to create a complete and operational web-based billing system in C# and ASP.NET. You
From playlist Create Billing System In C# and ASP .NET
Using Data to Automate Knowledge Generation || Ella Bor
At Twiggle, we learn and understand users' queries and match their relevant products. To that end, we are building our own ontology of the world, and an advanced Natural Language Analyzer which aims to map both queries and products from across the e-commerce domain onto our ontology. Build
From playlist Data Science
How To Create Billing System In C# and ASP .NET | Session 06 | #programming
Don’t forget to subscribe! This project series will guide on how to create a billing system in C and ASP.NET This tutorial will cover all the details (resources, tools, languages etc) that are necessary to create a complete and operational web-based billing system in C# and ASP.NET. You
From playlist Create Billing System In C# and ASP .NET
Office 2016 Video #39: Access 2016: Create Database, Tables & Relationships, Import Excel Table too
Highline College Busn 216 Class: Computer Applications taught by Michael Girvin. Download files: https://people.highline.edu/mgirvin/AllClasses/216v2016/Content/05Access/Access.htm Topics in this Video: 1. (00:01) Introduction 2. (01:56) Create New Database 3. (03:52) Save and Default Tabl
From playlist Office 2016 Class: Excel, Word, PowerPoint, Access, Windows Explorer, The Basics
How To Create Billing System In C# and ASP .NET | Session 15 | #programming
Don’t forget to subscribe! This project series will guide on how to create a billing system in C and ASP.NET This tutorial will cover all the details (resources, tools, languages etc) that are necessary to create a complete and operational web-based billing system in C# and ASP.NET. You
From playlist Create Billing System In C# and ASP .NET
PHP Object Oriented Programming Video | PHP Tutorials | Simplilearn
🔥Post Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=PHPOOPVideoOct29-xrfxVzNEYZs&utm_medium=DescriptionFirstFold&utm_source=youtube 🔥Caltech Coding Bootcamp (US Only): https://www.simpl
From playlist PHP Object Oriented Programming Tutorial Videos
AI Product, Part 1: Principles
Principles of AI product development
From playlist AI Product Development (hands on)