Smooth functions

Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number of continuous derivatives it has over some domain, called differentiability class. At the very minimum, a function could be considered smooth if it is differentiable everywhere (hence continuous). At the other end, it might also possess derivatives of all orders in its domain, in which case it is said to be infinitely differentiable and referred to as a C-infinity function (or function). (Wikipedia).

Smoothness
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SmoothLife6

This came as a surprise. Although it looks like an example with smooth time-stepping, it is not. It is with original, simple time-stepping. I'm not exactly sure what this means. Maybe my smooth time-stepping method is superfluous.

From playlist SmoothLife

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Smooth Transition Function in One Dimension | Smooth Transition Function Part 1

#SoME2 This video gives a detailed construction of transition function for various levels of smoothness. Sketch of proofs for 4 theorems regarding smoothness: https://kaba.hilvi.org/homepage/blog/differentiable.htm Faà di Bruno's formula: https://en.wikipedia.org/wiki/Fa%C3%A0_di_Bruno%2

From playlist Summer of Math Exposition 2 videos

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Game of Life generalized - SmoothLifeI

with smooth time-stepping.

From playlist SmoothLife

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Game of Life generalized - SmoothLifeL

with smooth time-stepping.

From playlist SmoothLife

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Game of Life generalized - SmoothLifeJ

with smooth time-stepping.

From playlist SmoothLife

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Game of Life generalization - SmoothLifeS

with smooth time-stepping.

From playlist SmoothLife

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11_3_7 A Smooth Function

Prerequisites of a smooth function.

From playlist Advanced Calculus / Multivariable Calculus

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Game of Life generalized - SmoothLifeH

with smooth time-stepping.

From playlist SmoothLife

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Game of Life generalized - SmoothLifeE

with smooth time-stepping

From playlist SmoothLife

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Manifolds 2.3 : Smooth Maps and Diffeomorphisms

In this video, I introduce examples and properties of smooth maps, and show the invariance theorems for diffeomorphisms. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet Playlist :

From playlist Manifolds

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How To Create 3D Stylized Character Model In Blender | Session 03 | #gamedev

Don’t forget to subscribe! In this project series, you will learn to create 3D stylized character model in Blender. This project is about modeling/ sculpting a base mesh character that you can use in your own games. You will be learning all of the skills to be able to output high-quality

From playlist Create 3D Stylized Character Model In Blender

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How To Create 3D Stylized Character Model In Blender | Session 02 | #gamedev

Don’t forget to subscribe! In this project series, you will learn to create 3D stylized character model in Blender. This project is about modeling/ sculpting a base mesh character that you can use in your own games. You will be learning all of the skills to be able to output high-quality

From playlist Create 3D Stylized Character Model In Blender

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How To Create 3D Stylized Character Model In Blender | Session 04 | #gamedev

Don’t forget to subscribe! In this project series, you will learn to create 3D stylized character model in Blender. This project is about modeling/ sculpting a base mesh character that you can use in your own games. You will be learning all of the skills to be able to output high-quality

From playlist Create 3D Stylized Character Model In Blender

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Robust Chaos revisited by Paul Glendinning

PROGRAM DYNAMICS OF COMPLEX SYSTEMS 2018 ORGANIZERS Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE: 16 June 2018 to 30 June 2018 VENUE: Ramanujan hall for Summer School held from 16 - 25 June, 2018; Madhava hall for W

From playlist Dynamics of Complex systems 2018

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Akhil Mathew - Some recent advances in syntomic cohomology (3/3)

Bhatt-Morrow-Scholze have defined integral refinements $Z_p(i)$ of the syntomic cohomology of Fontaine-Messing and Kato. These objects arise as filtered Frobenius eigenspaces of absolute prismatic cohomology and should yield a theory of "p-adic étale motivic cohomology" -- for example, the

From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)

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Erik van Erp: Lie groupoids in index theory 1

The lecture was held within the framework of the Hausdorff Trimester Program Non-commutative Geometry and its Applications. 9.9.2014

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

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Conditions for stokes theorem | Multivariable Calculus | Khan Academy

Understanding when you can use Stokes. Piecewise-smooth lines and surfaces Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/stokes-example-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the p

From playlist Multivariable calculus

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Game of Life generalization - SmoothLifeT

with smooth time-stepping.

From playlist SmoothLife

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Linear equations in smooth numbers - Lilian Matthiesen

Special Year Research Seminar Topic: Linear equations in smooth numbers Speaker: Lilian Matthiesen Affiliation: KTH Royal Institute of Technology Date: October 18, 2022 A number is called y-smooth if all of its prime factors are bounded above by y. The set of y-smooth numbers below x for

From playlist Mathematics

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