Temporal exponentials

E-folding

In science, e-folding is the time interval in which an exponentially growing quantity increases by a factor of e; it is the base-e analog of doubling time. This term is often used in many areas of science, such as in atmospheric chemistry, medicine and theoretical physics, especially when cosmic inflation is investigated. Physicists and chemists often talk about the e-folding time scale that is determined by the proper time in which the length of a patch of space or spacetime increases by the factor e mentioned above. In finance, the logarithmic return or continuously compounded return, also known as force of interest, is the reciprocal of the e-folding time. The term e-folding time is also sometimes used similarly in the case of exponential decay, to refer to the timescale for a quantity to decrease to 1/e of its previous value. The process of evolving to equilibrium is often characterized by a time scale called the e-folding time, τ. This time is used for processes which evolve exponentially toward a final state (equilibrium). In other words if we examine an observable, X, associated with a system, (temperature or density, for example) then after a time, τ, the initial difference between the initial value of the observable and the equilibrium value, ΔXi, will have decreased to ΔXi /e where the number e ≈ 2.71828. * Te e-folding time * N(t) amount at time t * N(0) initial amount * Td doubling time * ln(2) ≈ 0.693 natural logarithm of 2 * r% growth rate in time t (Wikipedia).

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The protein folding revolution

Big leaps in our understanding of protein folding can open doors to new protein-based medicines and materials--designed from the ground up. Learn more: http://scim.ag/2a3mGvZ JOIN AAAS: http://scim.ag/2bxrxnH

From playlist News Features

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Virtual Origami

Origami attracts the minds of people all over the world. Some are interested in its geometric aspects, and others in artistic or recreational elements, so-called traditional origami. Although both origami categories rely on a single notion of paper folding, their methodologies differ due t

From playlist Wolfram Technology Conference 2022

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The satisfying math of folding origami - Evan Zodl

Dig into the mathematical rules and patterns of folding origami, the ancient Japanese art of paper folding. -- Origami, which literally translates to “folding paper,” is a Japanese practice dating back to at least the 17th century. In origami, a single, traditionally square sheet of pap

From playlist New TED-Ed Originals

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How To Fold A Shirt | HowStuffWorks Animations

The fine art of shirt-folding is always appreciated but often misunderstood. Learn how to fold a shirt like the pros in 7 easy steps.

From playlist HowStuffWorks Animations

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Ex: Paper Folding to Model Addition of Fractions with Unlike Denominators

This video explains how to model the addition of fractions with unlike denominators using paper folding. http://mathispower4u.com

From playlist Number Sense - Fractions

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Folding the Klein Quartic

https://github.com/timhutton/klein-quartic

From playlist Geometry

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Cut the letter E part 2

Part 1 is here: https://youtu.be/OGtrnIhy1JM Music by Bertrand Laurence http://www.bertrandlaurence.com used with permission. Find me on FaceBook: https://www.facebook.com/YouTubeTyYann

From playlist Tricks and Math Puzzles

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Matthew Gardiner: "Folding = Coding for Matter" - Solid 2014 Keynote

From the 2014 Solid Conference: Folding, the origami of nature, has emerged as a creative strategy for programming function into materials. In recent years, artists, designers, scientists and tech giants alike have embraced the concepts, aesthetics and efficiency of folding as a method to

From playlist Solid Conference 2014

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The inflationary paradigm (Lecture 2) by William Kinney

PROGRAM PHYSICS OF THE EARLY UNIVERSE (HYBRID) ORGANIZERS: Robert Brandenberger (McGill University, Canada), Jerome Martin (IAP, France), Subodh Patil (Leiden University, Netherlands) and L. Sriramkumar (IIT - Madras, India) DATE: 03 January 2022 to 12 January 2022 VENUE: Online and Ra

From playlist Physics of the Early Universe - 2022

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Class 7: Origami is Hard

MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class begins with several examples of box-pleating and maze-folding. Clarifications on NP-hardness are provided with a walkth

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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Overview of fancier slide rules (folded scales, extended scales, LL scales)

Want to "level-up" your slide-rule ability? This video is a short introduction to the more advanced scales found on scientific slide rules. I think it's one of my best videos. It gives an overview of folded scales (e.g. CF/DF), extended scales (e.g. ST/T2), and log-log scales (LL). This v

From playlist Learn the slide rule from Professor Herning

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Live CEOing Ep 160: Neural Networks in Wolfram Language

Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Neural Networks in the Wolfram Language.

From playlist Behind the Scenes in Real-Life Software Design

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Michele Vendruscolo - Protein function and disfunction I

PROGRAM: ICTP-ICTS WINTER SCHOOL ON QUANTITATIVE SYSTEMS BIOLOGY DATES: Monday 09 Dec, 2013 - Friday 20 Dec, 2013 VENUE: Biological Sciences auditorium, IISc Campus, Bangalore PROGRAM LINKhttp://www.icts.res.in/program/QSB2013 Biology is undergoing a revolution. Advances in experimenta

From playlist ICTP-ICTS Winter School on Quantitative Systems Biology

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Electrical Engineering: Ch 16: Laplace Transform (52 of 58) What is Convolution? Circuit Ex.

Visit http://ilectureonline.com for more math and science lectures! In this video I will find iout(t)=? using the graphical method of convolution. Next video in this series can be seen at: https://youtu.be/a54WNs0qjgg

From playlist ELECTRICAL ENGINEERING 16: THE LAPLACE TRANSFORM

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3D Printing

If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.

From playlist 3D Printing

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Christopher Bishop: Transcendental functions with small singular sets

HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 20, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM'

From playlist Virtual Conference

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The Journey of a 3D Printed Object

If you are interested in learning more about this topic, please visit https://www.gcflearnfree.org/thenow/what-is-3d-printing/1/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply

From playlist Technology Trends

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Polyfolds III -Helmut Hofer

Helmut Hofer Institute for Advanced Study April 4, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

Related pages

Integral | Exponential decay | Homogeneous differential equation | Temperature | Ordinary differential equation | Natural logarithm of 2 | Doubling time | Density | E (mathematical constant) | Compound interest | Exponential growth | Space | Linear differential equation