In mathematical optimization, Himmelblau's function is a multi-modal function, used to test the performance of optimization algorithms. The function is defined by: It has one local maximum at and where , and four identical local minima: * * * * The locations of all the minima can be found analytically. However, because they are roots of cubic polynomials, when written in terms of radicals, the expressions are somewhat complicated. The function is named after (1924–2011), who introduced it. (Wikipedia).
Harvard AM205 video 4.9 - Quasi-Newton methods
Harvard Applied Math 205 is a graduate-level course on scientific computing and numerical methods. The previous video in this series discussed using the Newton method to find local minima of a function; while this method can be highly efficient, it requires the exact Hessian of the functio
From playlist Optimizers in Machine Learning
The History of Chemical Engineering: Crash Course Engineering #5
Today we’ll cover the fourth and final of our core disciplines of engineering: chemical engineering. We’ll talk about its history and evolution going from soda ash competitions to oil refineries and renewable energies. We’ll also discuss some newer and emerging fields like biotechnology an
From playlist Engineering
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
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 Weierstrass Definition of the GAMMA FUNCTION! - Proving Equivalence!
Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://shop.spreadshirt.de/papaflammy 2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg Gamma derive: https://youtu.be/0170T
From playlist Limits
Sigmoid functions for population growth and A.I.
Some elaborations on sigmoid functions. https://en.wikipedia.org/wiki/Sigmoid_function https://www.learnopencv.com/understanding-activation-functions-in-deep-learning/ If you have any questions of want to contribute to code or videos, feel free to write me a message on youtube or get my co
From playlist Analysis
The Urban Masterplanning Handbook (One of Three)
Eric Firley, co-author of the companion Urban Towers and Urban Housing Handbooks is an architect and urban designer. Currently Assistant Professor at the University of Miami School of Architecture.
From playlist Urban Design Group: Introduction to Urban Design
Quoting Dalibor Vesely, "drawings matter much more than building," Sir Peter Cook expands upon his recently published, Drawing: The Motive Force of Architecture, cataloging an arc of exemplary modern drawing. Throughout this and using examples from his own work, Cook identifies drawing's
From playlist 'Is Drawing Dead?' YSoA Symposium
(New Version Available) Inverse Functions
New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations
What are the Inverse Trigonometric functions and what do they mean?
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
Inverse Trigonometric Functions
We know about inverse functions, and we know about trigonometric functions, so it's time to learn about inverse trigonometric functions! These are functions where you plug in valid values that trig functions can possess, and they spit out the angles that produce them. There's a little more
From playlist Trigonometry
Back to Algebra: What are Functions?
That's enough with shapes, let's get back to equations and variables! I know you've missed it so. Jumping back into algebra, the first thing we want to do is understand what a function is, as this will be the main algebraic construct we concern ourselves with from now on. Let's learn what
From playlist Algebra 1 & 2
Hyperbolic Functions: Definitions, Identities, Derivatives, and Inverses
We've learned about trigonometric functions, which relate to the unit circle. So what are hyperbolic functions? Why, those relate to the hyperbola of course! They are a little strange, but once we go through some details they will start to make sense a little bit. Watch the whole Mathemat
From playlist Mathematics (All Of It)
Lilya Budaghyan : On APN and AB power functions
CONFERENCE Recording during the thematic meeting : « ALgebraic and combinatorial methods for COding and CRYPTography» the February 23, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given b
From playlist Combinatorics
Kotlin Functions Tutorial | Kotlin Functional Programming Explained | Kotlin Tutorial | Simplilearn
🔥Post Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=KotlinFunctionsTutorial-obN78NEd47g&utm_medium=DescriptionFF&utm_source=youtube 🔥Caltech Coding Bootcamp (US Only): https://www.simpli
From playlist C++ Tutorial Videos
Mathematical Functions and Properties
The Wolfram Language has over 250 mathematical functions, including well-known elementary and special functions that have played a crucial role in the development of science for decades. Although this set is almost complete, we are continuously implementing new functionality for mathematic
From playlist Wolfram Technology Conference 2020
Lecture 9.1 Periodic functions
Periodic functions are functions that repeat themselves at regular intervals. In this lecture, we discuss the properties of periodic functions.
From playlist MATH2018 Engineering Mathematics 2D
Artificial Satellites of Earth and Their Orbits
Our solar system is full of incredible objects, and some of them are manmade! Beyond the probes we've sent to observe other planets, we've put countless objects up into orbit to perform a variety of functions. What are these, where are they, and how do they work? Let's examine some of Eart
From playlist Astronomy/Astrophysics
Kazuo Murota: Extensions and Ramifications of Discrete Convexity Concepts
Submodular functions are widely recognized as a discrete analogue of convex functions. This convexity view of submodularity was established in the early 1980's by the fundamental works of A. Frank, S. Fujishige and L. Lovasz. Discrete convex analysis extends this view to broader classes of
From playlist HIM Lectures 2015