Functions and mappings | Types of functions | Basic concepts in set theory
In mathematics, an injective function (also known as injection, or one-to-one function) is a function f that maps distinct elements of its domain to distinct elements; that is, f(x1) = f(x2) implies x1 = x2. (Equivalently, x1 ≠ x2 implies f(x1) ≠ f(x2) in the equivalent contrapositive statement.) In other words, every element of the function's codomain is the image of at most one element of its domain. The term one-to-one function must not be confused with one-to-one correspondence that refers to bijective functions, which are functions such that each element in the codomain is an image of exactly one element in the domain. A homomorphism between algebraic structures is a function that is compatible with the operations of the structures. For all common algebraic structures, and, in particular for vector spaces, an injective homomorphism is also called a monomorphism. However, in the more general context of category theory, the definition of a monomorphism differs from that of an injective homomorphism. This is thus a theorem that they are equivalent for algebraic structures; see Homomorphism § Monomorphism for more details. A function that is not injective is sometimes called many-to-one. (Wikipedia).
What is an Injective Function? Definition and Explanation
An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez
From playlist Functions
Definition of an Injective Function and Sample Proof
We define what it means for a function to be injective and do a simple proof where we show a specific function is injective. Injective functions are also called one-to-one functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affil
From playlist Injective, Surjective, and Bijective Functions
Abstract Algebra | Injective Functions
We give the definition of an injective function, an outline of proving that a given function is injective, and a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Definition of a Surjective Function and a Function that is NOT Surjective
We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht
From playlist Injective, Surjective, and Bijective Functions
The Definition of an Injective(One to One) Function and Explanation
The Definition of an Injective(One to One) Function and Explanation
From playlist Functions, Sets, and Relations
The Composition of Injective(one-to-one) Functions is Injective Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof that the composition of injective(one-to-one) functions is also injective(one-to-one)
From playlist Proofs
Injective, Surjective and Bijective Functions (continued)
This video is the second part of an introduction to the basic concepts of functions. It looks at the different ways of representing injective, surjective and bijective functions. Along the way I describe a neat way to arrive at the graphical representation of a function.
From playlist Foundational Math
How to Prove a Function is Injective(one-to-one) Using the Definition
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to prove a function is injective. Injective functions are also called one-to-one functions. This is a short video focusing on the proof.
From playlist Proofs
Injective(one-to-one), Surjective(onto), Bijective Functions Explained Intuitively
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys A nice way to think about injective(one-to-one), surjective(onto), and bijective functions.
From playlist Functions, Sets, and Relations
C# Dependency Injection Tutorial | C# Dependency Injection Example | C# Tutorial | Simplilearn
This video on C# Dependency Injection tutorial will acquaint you with a clear understanding of the fundamentals of C# Dependency Injection. In this C# Tutorial, you will get better understanding on what is Dependency Injection. we will start with an introduction to C# Dependency Injection,
From playlist C# Training 🔥[2022 Updated]
Surjective, Injective, and Bijective Functions
This video introduces surjective, injective, and bijective functions.
From playlist Functions (Discrete Math)
DEFCON 17: The Making of the second SQL injection Worm
Speaker: Sumit Siddharth IT Security Consultant The "turbo" talk will focus on exploiting SQL injections in web applications with oracle back-end. Mostly exploiting Oracle sql injections in web applications is considered to be restricted to extraction of data only. Oracle database does no
From playlist DEFCON 17
DEFCON 18: Hacking Oracle From Web Apps 2/4
Speaker: Esteban Martínez Fayó Oracle Database Vault was launched a few years ago to put a limit on DBAs unlimited power especially over highly confidential data where it is required by regulations. This presentation will show how this add-on product for Oracle Database performs on this
From playlist DEFCON 18-1
3 Ways to Think About Injections and Surjections
Contact me for tutoring here: https://www.herndonmathservices.com/ In this video I explain a few different ways to think about injections and surjections. See the timeline for more info. Here are a few proofs that did not make it in the video: https://proofwiki.org/wiki/Injection_iff_Lef
From playlist Summer of Math Exposition Youtube Videos
Fundamentals of Mathematics - Lecture 27: Composition of Functions and Left/Right Inverses
course page: https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html Videography - Eric Melton (UVM)
From playlist Fundamentals of Mathematics
Determine if Functions Given in Two Line Notation are Surjective, Injective, and Bijective
This video explains how to determine if a function is surjective, injective, bijective or none of these.
From playlist Functions (Discrete Math)
Black Hat USA 2010: Hacking Oracle From Web Apps 2/5
Speaker: Sumit Siddharth This talk will focus on exploiting SQL injections in web applications with oracle back-end and will discuss all old/new techniques. The talk will target Oracle 9i,10g and 11g (R1 and R2) It is widely considered that the impact of SQL Injection in web apps with Ora
From playlist BH USA 2010 - WHERE DATA LIVES
CS224W: Machine Learning with Graphs | 2021 | Lecture 9.2 - Designing the Most Powerful GNNs
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3nGksXo Jure Leskovec Computer Science, PhD In this lecture, we aim to design a maximally expressive GNN model. Our key insight is that a maximally expressive GNN
From playlist Stanford CS224W: Machine Learning with Graphs
This video explains what a mathematical function is and how it defines a relationship between two sets, the domain and the range. It also introduces three important categories of function: injective, surjective and bijective.
From playlist Foundational Math