Sequences and series | Functions and mappings | Functional equations | Fractals | Fixed points (mathematics) | Dynamical systems

Iterated function

In mathematics, an iterated function is a function X → X (that is, a function from some set X to itself) which is obtained by composing another function f : X → X with itself a certain number of times. The process of repeatedly applying the same function is called iteration. In this process, starting from some initial object, the result of applying a given function is fed again in the function as input, and this process is repeated. For example on the image on the right: L = ( K ), M = ( K ) = ( K ),with the circle‑shaped symbol of function composition. Iterated functions are objects of study in computer science, fractals, dynamical systems, mathematics and renormalization group physics. (Wikipedia).

Iterated function
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Comparing Iterative and Recursive Factorial Functions

Comparing iterative and recursive factorial functions

From playlist Computer Science

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Functions of equations - IS IT A FUNCTION

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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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

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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

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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

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Using the vertical line test to determine if a graph is a function or not

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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Determine if the equation represents a function

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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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

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What is a function?

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

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Iterators: The Next Iteration

Iterators are a generalization of lists that are accessed one element at a time. Iterators allow us to work with data whose length is infinite or unknown, and they avoid the explicit generation of all elements at the same time, by using incremental generators. First presented a year ago, t

From playlist Wolfram Technology Conference 2022

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DjangoCon 2019 - Lazy Looping: The Next Iteration by Trey Hunner

DjangoCon 2019 - Lazy Looping: The Next Iteration by Trey Hunner In this talk we'll learn about the properties of iterators, learn how to create our own iterators with generators, and take a look at how iterators and generators allow us to write our looping code in a fundamentally differe

From playlist DjangoCon US 2019

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Loop like a native: while, for, iterators, generators

Ned Batchelder Python provides powerful primitives for iterating over your data in ways that let you express yourself clearly and directly. But even programmers familiar with the tools don't use them as fully as they could. This talk will cover Pyt

From playlist Python Programming Language

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DeepMind x UCL RL Lecture Series - Approximate Dynamic Programming [10/13]

Research Scientist Diana Borsa introduces approximate dynamic programming, exploring what we can say theoretically about the performance of approximate algorithms. Slides: https://dpmd.ai/approximatedynamic Full video lecture series: https://dpmd.ai/DeepMindxUCL21

From playlist Learning resources

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Python Itertools | Itertools in Python | Python Tutorial for Beginners | Edureka

🔥Edureka Python Certification Training: https://www.edureka.co/python-programming-certification-training This Edureka video on Python Itertools is a part of Python Tutorial for Beginners which will help you understand the Python itertools module along with various tools to create the Iter

From playlist Python Programming Tutorials | Edureka

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Model Based Reinforcement Learning: Policy Iteration, Value Iteration, and Dynamic Programming

Here we introduce dynamic programming, which is a cornerstone of model-based reinforcement learning. We demonstrate dynamic programming for policy iteration and value iteration, leading to the quality function and Q-learning. This is a lecture in a series on reinforcement learning, follo

From playlist Reinforcement Learning

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Python Tutorial: Itertools Module - Iterator Functions for Efficient Looping

In this Python Programming Tutorial, we will be learning about the itertools module. The itertools module is a collection of functions that allows us to work with iterators in an efficient way. Depending on your problem, this can save you a lot of memory and also a lot of work. Let's get s

From playlist Python Tutorials

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MSPTDA 18: DAX Iterators, Table Functions, Grain, Cardinality, Materializing Tables Excel & Power BI

Zipped folder with all files for this video: https://people.highline.edu/mgirvin/AllClasses/348/MSPTDA/Content/DAX/FilesUsedInVideo18.zip Class web site with files for download: https://people.highline.edu/mgirvin/AllClasses/348/MSPTDA/Content/DAX/DAX.htm pdf Notes: https://people.highl

From playlist Excel Data Analysis Tricks

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How to determine if an ordered pair is a function or not

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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Iterator And Generator In Python | Python Generators And Iterators Explained | Python | Simplilearn

The video will give you a brief introduction to Generators and Iterators in Python. You will get introduced to generators in python, learn the advantages of using generators and get familiar with the utility of the next() function. You will also have hands-on demonstrations on them. The vi

From playlist Python For Beginners 🔥[2022 Updated]

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