Professor Tony Padilla on the epic number, TREE(3). Continues at: https://youtu.be/IihcNa9YAPk
More links & stuff in full description below ↓↓↓
Graham's Number: http://bit.ly/G_Number
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Videos by Brady Haran
Patreon: http://www.patreon.com/numberphile
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Some good additional reading on Tree(3):
https://cp4space.wordpress.com/2012/12/19/fast-growing-2/
https://en.wikipedia.org/wiki/Kruskal%27s_tree_theorem
https://mathoverflow.net/questions/93828/how-large-is-tree3
Main video: https://youtu.be/3P6DWAwwViU
Featuring Professor Tony Padilla.
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
A run-down of Brady's channels: http://www.bradyharan.com
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Catch a more in-depth interview with Ben Sparks on our Numberphile Podcast: https://youtu.be/-tGni9ObJWk
Check out Brilliant (and get 20% off) by clicking https://brilliant.org/numberphile
More links & stuff in full description below ↓↓↓
Golden seeds limited edition T-Shirt: https://teespring.com/NP-Seeds
More Golden Ratio stuff: http://bit.ly/Golden_Ratio
More Ben Sparks Numberphile videos: http://bit.ly/Sparks_Playlist
Ben's Twitter: https://twitter.com/SparksMaths
Ben's website: www.bensparks.co.uk
Geogebra file Ben used: https://www.geogebra.org/m/YThycjQK#material/T8eKzDu5
Note on this video: Ben uses "one over a number" quite often during the video to make a fraction of a turn between 0 and 1, but the same effects apply if you turn more than a complete turn (e.g. sqrt(2) = approximately 1.414... of a turn, i.e. 1 whole turn and 0.414... of a further turn).
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/
And support from Math For America - https://www.mathforamerica.org/
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Videos by Brady Haran
Patreon: http://www.patreon.com/numberphile
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
The Daddy of Big Numbers (Rayo's Number) - Numberphile
Professor Tony Padilla is back with another epic number. Our Big Number playlist of previous videos: http://bit.ly/Big_Numbers
More links & stuff in full description below ↓↓↓
Busy Beavers on Computerphile: https://youtu.be/CE8UhcyJS0I
With thanks to Agustín Rayo himself. Read more from Prof Rayo at: http://web.mit.edu/arayo/www/bignums.html
And see his website at: https://arayo.scripts.mit.edu/home/
Tony Padilla: https://twitter.com/DrTonyPadilla
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/
And support from Math For America - https://www.mathforamerica.org/
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Video by Pete McPartlan and Brady Haran
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Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
An introduction to tree algorithms. This video covers how trees are stored and represented on a computer.
Support me by purchasing the full graph theory course on Udemy which includes additional problems, exercises and quizzes not available on YouTube:
https://www.udemy.com/course/graph-theory-algorithms
Algorithms repository:
https://github.com/williamfiset/algorithms
Video slides:
https://github.com/williamfiset/Algorithms/tree/master/slides
===============================================================================
Developer tools I used in the creation/testing of the content in these videos:
1) Sublime text, my favorite lightweight code editor (https://www.sublimetext.com).
NOTE: I'm often asked about the color scheme I use, find it here: https://github.com/williamfiset/dotfiles/tree/master/sublime
2) Kite, a free AI-powered coding assistant that provides smart code completions while typing:
https://www.kite.com/get-kite/?utm_medium=referral&utm_source=youtube&utm_campaign=williamfiset&utm_content=description-only
===============================================================================
0:00 Introduction
3:08 Representing trees on a computer
4:48 Rooted trees
5:28 Binary trees
6:06 Binary search trees
7:05 Storing rooted trees
Hi, again people! I played with small frequencies between 1-10 Hz this time. I had to use a square wave as my speaker wouldn't produce enough vibration on sine waves to have any moving light reflections. Unfortunately, video lost some of its sparks by reducing framerate from 50 which it was recorded at, to 24 FPS for youtube, it's all about FramePace ;-). I will keep that in mind when recording next time. Enjoy the video, and subscribe for more!
music used:
Take Off and Shoot a Zero by Chris Zabriskie is licensed under a Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/)
Source: http://chriszabriskie.com/stuntisland/
Artist: http://chriszabriskie.com/
You can actually see sound waves as they travel through the air thanks to a clever photographic trick.
tumblr.com/follow/skunkbear
skunkbear.tumblr.com
Twitter:
@cadamole
@nprscience
Produced by Adam Cole
Hands shot by Meg Vogel
Schlieren images provided by Mike Hargather (http://infohost.nmt.edu/~mjh/people.html)
Amber Kates
Bobby Gold
J. W. Tang, A. Nicolle and J. Pantelic
MUSIC:
"Eileen" by Lee Rosevere
http://freemusicarchive.org/music/Lee_Rosevere/Music_for_MOBA/LeeRosevere_MOBA_09-Eileen
Ever since Leo dragged us into his multi-layer Inception dreamscape it seems like the world is going Meta mad. But what exactly IS meta-ness? And why do we love it so much?
Join me as I dive into my favourite meta topics: Multi-layer abstractions of robots imitating humans. Ships on ships. Metaphysics and Metahumor.
Link to MetaMetaPhysics book: https://www.amazon.co.uk/Metametaphysics-New-Essays-Foundations-Ontology/dp/0199546002
Link to /TotallyNotRobots: https://www.reddit.com/r/totallynotrobots/
Link to GPT2: https://openai.com/blog/better-language-models/
And thanks to Slate Star Codex for alerting me to the reddit marriage between GPT & Totally Not Robots and thus inspiring this video! https://slatestarcodex.com
-------
Live Curiously with Liv Boeree is a series of videos exploring the fringes of science, philosophy and futurism. In other words, all the stuff that keeps me up at night!
Mathematician Hannah Fry didn’t like data – until she found out Wikipedia’s secret. Watch this extract from Wingspan Production's latest programme; The Joy of Data.
Follow me twitter: https://twitter.com/WikiGalaxy for news or updates on me or my projects!
LinkedIn: fr.linkedin.com/pub/owen-cornec/83/659/245/
Available at wiki.polyfra.me
Science is a network, each paper linking those that came before with those that followed. In an exclusive analysis, researchers have delved into Nature's part of that network. We explore their results, taking you on a tour of 150 years of interconnected, interdisciplinary research, as represented by Nature's publication record.
Explore the network yourself: https://www.nature.com/articles/d41586-019-03165-4
Read more: https://www.nature.com/collections/eidahgdici/
Sign up for the Nature Briefing: An essential round-up of science news, opinion and analysis, free in your inbox every weekday: https://go.nature.com/371OcVF
Learn the basics of what a Graph Database is and the type of function it plays in a Data Management Architecture.
Here's the whitepaper: https://www.intricity.com/whitepapers/data-detective-board-whitepaper
Talk with a Specialist: https://www.intricity.com/intricity101/
Get your first box of KiwiCo free by going to https://www.kiwico.com/smarter
Click here if you're interested in subscribing: http://bit.ly/Subscribe2SED
⇊ Click below for more links! ⇊
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GET SMARTER SECTION
If I did this right then these are Amazon affiliate links to purchase a snatch block. (I have no idea what I'm doing)
$22 - black 8 ton - 5 stars - https://amzn.to/2DMR4s8
$25 - red 8 ton - https://amzn.to/355WoTi
$29 - orange 10 ton https://amzn.to/2OWQFdb
We discussed Snatch Blocks on this episode of the No Dumb Questions podcast:
https://www.nodumbquestions.fm/listen/2019/9/21/067-the-lost-city-of-nineveh
If you'd like to 3D print the Snatch Blocks and pulleys we use in this video they are here: https://www.thingiverse.com/thing:4022579
Read Plutarch's account of Archimedes:
http://www.math.pitt.edu/~sph/osher-course/plutarch-on-archimedes.pdf
The wikipedia page on Block and Tackle is really good:
https://en.wikipedia.org/wiki/Block_and_tackle
I thought this was a great video about why you should put blankets on your winch cable: https://www.youtube.com/watch?v=gPba-34ARZY
Chris Hadfield is a veteran Canadian Astronaut and a great friend of science. He engages the public often and is a great follow on twitter: https://twitter.com/Cmdr_Hadfield
He can be contacted for speaking engagements here:
https://chrishadfield.ca/
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GET STUFF SECTION: (Affiliate Links)
❓Mystery Item: https://amzn.to/35hEZrZ
Things I use and like:
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Also, if you’re interested in a Smarter Every Day shirt etc. they’re really soft and you can get there here: https://www.smartereveryday.com/store
~~~~~~~~~~~~~~~~~~~~~~~~~~
Jeremy Fielding has his own YouTube channel which you can enjoy here!
https://www.youtube.com/channel/UC_SLthyNX_ivd-dmsFgmJVg
A special thank you to @MurkyWanders on Twitter for videoing the Atlantis exhibit for us.
Tweet Ideas to me at:
http://twitter.com/smartereveryday
Smarter Every Day on Facebook
https://www.facebook.com/SmarterEveryDay
Smarter Every Day on Patreon
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Smarter Every Day On Instagram
http://www.instagram.com/smartereveryday
Smarter Every Day SubReddit
http://www.reddit.com/r/smartereveryday
Ambiance, audio and musicy things by: Gordon McGladdery
https://www.ashellinthepit.com/
http://ashellinthepit.bandcamp.com/
If you feel like this video was worth your time and added value to your life, please SHARE THE VIDEO!
If you REALLY liked it, feel free to pitch a few dollars Smarter Every Day by becoming a Patron.
http://www.patreon.com/smartereveryday
Warm Regards,
Destin
Credits Goes to Bob tabor. He is one of the best tutors that I've found online.
Download Complete C# Course: https://www.freetrained.com/c-complete-course-for-beginners-to-advance/
Other Course By Bob Tabor:
1. JavaScript ES6 Programming Course For Beginners: https://youtu.be/ZIVm1WA1y0Y
2. Microsoft Azure Fundamentals Tutorial for Beginners: https://youtu.be/maAChYi05fg
---------------------------------------
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#c# #tutorial #for #beginners
Welcome to a brand new series covering all the basics of C#. In this playlist I'm going to cover the skills you need to get started with the programming language and then move into more specific skills, such as making Windows Applications, Unity3d Games and potentially Cross platform Mobile Apps.
Fundamentos de programación con C#, entrega 050 - Recursividad
Lista de reproducción: https://www.youtube.com/watch?v=iPupY75BEvo&list=PL0bfr51v6JJEvSoAnCNYHM9b-75JQSoad
↓↓ ENGLISH DESCRIPTION ↓↓
"Coding Better World Together" is a set of master lessons from the famous Uncle Bob (Robert Cecil Martin), where he gives us a broad vision of the importance and future of Software in today's society.
In this first lesson, Uncle Bob demonstrates the need to write a clean code and establishes the bases to achieve it, being these bases of a social and scientific nature. Making it clear that the future of programming is based on an ethical and polite code.
↓↓ DESCRIPCION EN ESPAÑOL ↓↓
"Coding Better World Together" es un conjunto de lecciones magistrales del famoso tío Bob (Robert Cecil Martin), donde nos brinda una visión amplia de la importancia y el futuro del software en la sociedad actual.
En esta primera lección, el tío Bob demuestra la necesidad de escribir un código limpio y establece las bases para lograrlo, siendo estas bases de naturaleza social y científica. Dejando en claro que el futuro de la programación se basa en un código ético y cortés.
0:00 Event Presentation
2:03 Presenter Introduces Uncle Bob
3:41 Uncle Bob Introduction / My Tribe
4:49 How Far is the Sun?
10:52 Introduction to Clean Code
12:21 The current Society works with Software
19:47 Volkswagen case / Introduction to the Ethics of Software Development
24:28 Why are Programmers so slow?
32:13 What is a Clean Code?
40:09 Analyzing some lines of code
43:43 Long code is not Good Code
49:25 Good Code / Refactored Function
52:40 Polite Code / Rules for writing a news paper article
55:25 Shrunk Code / The Rules of Functions
1:00:23 Shrunk Code / Drawing a Function
1:05:36 When and why was Java invented?
1:08:52 Prose Code / Arguments
1:16:13 Avoid Switch Statements / Problems and Evolution of some programming languages
1:26:15 The Uncle Bob's wife message (funny moment)
1:27:22 Output Arguments No Side Effects / Garbage Collection
1:32:21 No Side Effects / Using Lambda
1:34:26 No Side Effects / Command and Query Separation
1:35:30 No Side Effects / Prefer Exceptions to returning error codes
1:37:05 DRI Principle (Don't Repeat Yourself)
1:39:21 Structured Programming / Edsger Dijkstra Vision vs Actual Vision of the programming
1:45:32 Science and Correct Software
↓↓ OUR MODEL OF SOCIETY ↓↓
- https://mutualwelfare.org
↓↓ NUESTRO MODELO DE SOCIEDAD ↓↓
- https://bienestarmutuo.org
↓↓ OUR CRIPTOCURRENCY FOR MONETARY FREEDOM - NUESTRA CRIPTOMONEDA PARA LA LIBERTAD MONETARIA ↓↓
- https://unitycoin.net
- PRESENTATION: https://unitycoin.net/presentation/
↓↓ OUR PAYMENT FRANCHISE - NUESTRA FRANQUICIA DE PAGOS ↓↓
- https://sbmlibre.com
↓↓ OUR SOCIAL PACT - NUESTRO PACTO SOCIAL ↓↓
- https://e-nation.org
- PRESENTATION: https://e-nation.org/presentation/
↓↓ OUR SOCIAL NETWORKS - NUESTRAS REDES SOCIALES↓↓
- Facebook: https://es-la.facebook.com/unitycoin/
- Twitter: https://twitter.com/unity_coin
14 Firefox Developer Tools You Might Not Know About
Check the tools awesome tools FireFox has in its collection of developer tools in this in-depth look at Firefox Developer tools you should know about.
Find out more with the written tutorial at Envato Tuts+: https://webdesign.tutsplus.com/articles/firefox-developer-tools-roundup--cms-32821?utm_campaign=yt_tutsplus_S36N8RGdY2U&utm_medium=referral&utm_source=youtube.com&utm_content=description
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Envato Tuts+
Discover free how-to tutorials and online courses. Design a logo, create a website, build an app, or learn a new skill: https://tutsplus.com/?utm_campaign=yt_tutsplus_S36N8RGdY2U&utm_medium=referral&utm_source=youtube.com&utm_content=description
► Subscribe to Envato Tuts+ on YouTube: https://www.youtube.com/tutsplus
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Envato Elements
All the creative assets you need under one subscription. Customize your project by adding unique photos, fonts, graphics, and themes: https://elements.envato.com/?utm_campaign=yt_tutsplus_S36N8RGdY2U&utm_medium=referral&utm_source=youtube.com&utm_content=description
► Download Unlimited Stock Photos, Fonts & Templates with Envato Elements: https://elements.envato.com/?utm_campaign=yt_tutsplus_S36N8RGdY2U&utm_medium=referral&utm_source=youtube.com&utm_content=description
Sácale chispas a Chrome Developer Tools (DevTools)
Charla que di en el Open Space de Biko2 (http://www.biko2.com) sobre las herramientas de desarrollo de Chrome. Doy un repaso a las características que más me ayudan en mi día a día como desarrollador web, aunque no me dió tiempo a repasarlas todas.
Los Dioses fardan de que son capaces de ver todos los rincones del Universo en un solo instante... Sin embargo, la Relatividad tiene algo que decir al respecto.
No te pierdas ningún video: solo tienes que... SUSCRIBIRTE, ¡es GRATIS!: https://www.youtube.com/user/QuantumFracture?sub_confirmation=1
¡Sígueme en TWITTER! https://twitter.com/QuantumFracture
¡Y también en FACEBOOK! https://www.facebook.com/QuantumFracture
¡Y (sí, como no) también en INSTAGRAM! https://instagram.com/quantumfracture/
Un fabuloso libro para entender con dibujos todo lo que ha ocurrido en el vídeo y además tener una maravillosa herramienta para comprender la Relatividad Especial es "An Illustrated Guide to Relativity" de Tatsu Takeuchi.
https://www.cambridge.org/core/books/an-illustrated-guide-to-relativity/3503D181BAA103D82EE4A44A35389011
Pero si queréis tirar por un aprendizaje más clásico (y también necesario) os dejo un par de libros clásicos:
Special Relativity (MIT Introductory Physics), A.P. French
https://www.iberlibro.com/9780393097931/Special-Relativity-M.I.T-Introductory-Physics-0393097935/plp
Classical Mechanics, Herbert Goldstein, Charles Poole y John Safko
https://en.wikipedia.org/wiki/Classical_Mechanics_(Goldstein_book)
El artículo de Wikipedia sobre las comprobaciones constante de que la velocidad de la luz es universal para todos los observadores
(es decir, que se mantiene la invarianza Lorentz; que no se produce una violación lorentziana) es bastante completo. Aunque podrías estar mejor actualizado:
https://en.wikipedia.org/wiki/Modern_searches_for_Lorentz_violation
Las animaciones aquí mostradas no pretenden ser precisas, sino mostrar aspectos cualitativos. Tienen propósitos educativos.
REFERENCIAS
Pirámides
Crédito: Jay Bergesen, flickr.com
https://www.flickr.com/photos/jaybergesen/3335698859/
Cisne
Crédito: Simon Cockell, flickr.com
https://www.flickr.com/photos/sjcockell/3463156557/
Acrópolis
Crédito: Paul Pela, flickr.com
https://www.flickr.com/photos/classicallang/4567629981/
Pelo Femenino
Crédito: Glen Bledsoe, flickr.com
https://www.flickr.com/photos/glenbledsoe/9768156616/
Gameboy
Crédito: THOR, flickr.com
https://www.flickr.com/photos/geishaboy500/100023863/
Valle
Crédito: William Marnoch, flickr.com
https://www.flickr.com/photos/williamjm/23702256065
Bacterias
Crédito: NIAID, flickr.com
https://www.flickr.com/photos/niaid/16843981465/
Nebulosa de Carina
Crédito: NASA Goddard Space Flight Center, flickr.com
https://www.flickr.com/photos/gsfc/4398656115/
Textura Planetaria
Crédito: Kevin Doolet, flickr.com
https://www.flickr.com/photos/pagedooley/25867444056/
Circulo
Crédito: Ghost of Kuji, flickr.com
https://www.flickr.com/photos/ghost_of_kuji/395419629/
Supernova
Crédito: ernenn, flickr.com
https://www.flickr.com/photos/ernenn/5273529766/
Pelo y Barba rubias de second life
Crédito: Drey Messmer, flickr.com
https://www.flickr.com/photos/andreymessmer/44165303480/
Casco Viquingo
Crédito: veganstraightedge, flickr.com
https://www.flickr.com/photos/veganstraightedge/3541277397/
Cthulhu 1
Crédito: nefasth, flickr.com
https://www.flickr.com/photos/nefasth/5800420944/
Cthulhu 2
Crédito: Miguel Discart, flickr.com
https://www.flickr.com/photos/miguel_discart_vrac_3/45604366895/
Shiva
Crédito: Rishikeshgoudstps, wikimedia commons
https://commons.wikimedia.org/wiki/File:Lord_shiva_google.jpg
Estatua de Atenea
Crédito: Andy Montgomery, flickr.com
https://www.flickr.com/photos/pamontgo/16045413922/
Peinado Geisha
Crédito: Lewis Minor, flickr.com
https://www.flickr.com/photos/31284576@N06/3044020055/
Tono Seleccionar
Game Sound Selection.wav
CC BY 3.0
Crédito: Bertrof, freesound.org
https://www.freesound.org/people/Bertrof/sounds/131658/
Tono Ping
Ping!
CC BY 3.0
Crédito: unfa, freesound.org
http://www.freesound.org/people/unfa/sounds/215415/
Campana Clin
Hand Bells, D, Single.wav
CC BY 3.0
Crédito: InspectorJ, freesound.org
https://www.freesound.org/people/InspectorJ/sounds/339813/
Gente Discutiendo
CrŽdito: sonsdebarcelona, freesound.org
https://www.freesound.org/people/sonsdebarcelona/sounds/221960/
Música:
Multidimensional, Sarah the Illstrumentalist, Epidemic Sound
Purple Clouds, Sarah the Illstrumentalist, Epidemic Sound
Meditative Moods 2, Gavin Luke, Epidemic Sound
#julioprofe explica cómo determinar el volumen de un sólido de revolución, usando el Método de los Discos.
Tema: #Integrales → https://www.youtube.com/playlist?list=PLC6o1uTspYwHnjRu25BhpcDnzWQMt_1JK
REDES SOCIALES
Facebook → https://www.facebook.com/julioprofenet
Twitter → https://twitter.com/julioprofenet
Instagram → https://www.instagram.com/julioprofenet
SITIO OFICIAL → https://julioprofe.net/
SUSCRÍBETE: http://bit.ly/VN7586 (NO OLVIDES DAR UN ¨LIKE¨)
VISITA: http://math2me.com
FB: http://bit.ly/FBmath2me
G+: http://google.com/+math2me
Twitter: http://bit.ly/14ql1b7
(Video explicado por José Andalón)
Help us caption & translate this video!
http://amara.org/v/FV68/
Theoretical physicist Sean Carroll, PhD, is challenged to explain the concept of dimensions to 5 different people; a child, a teen, a college student, a grad student, and an expert.
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Physicist Explains Dimensions in 5 Levels of Difficulty | WIRED
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This video is about how Russian physicist Aleksandr Fridman corrected Albert Einstein about the expansion of the universe. Einstein thought that general relativity implied that space had to be static and unchanging, but he had made a technical error regarding the differentiation of the metric (in particular, I believe he mistook the determinant of the metric for a scalar rather than a tensor density of weight 2). Friedmann didn't make this differential geometric mistake, and the cosmologies he found from the Einstein Equations were more varied in their properties - they could be expanding, or contracting, or (with the cosmological constant), static.
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REFERENCES
Alexander Friedmann
https://en.wikipedia.org/wiki/Alexander_Friedmann
Einstein Wrongly Criticizes Alexander Friedmann
https://einsteinpapers.press.princeton.edu/vol13-trans/301
Alexander Friedmann Corrects Einstein
https://einsteinpapers.press.princeton.edu/vol13-trans/363
Einstein Admits his Mathematical Mistake
https://einsteinpapers.press.princeton.edu/vol14-trans/77
Interrogating the Legend of Einstein’s “Biggest Blunder”
https://arxiv.org/abs/1804.06768
Cosmological Considerations in the General Theory of Relativity
https://einsteinpapers.press.princeton.edu/vol6-trans/433
On the General Theory of Relativity (Einstein)
https://einsteinpapers.press.princeton.edu/vol6-trans/110
The Field Equations of Gravitation
https://einsteinpapers.press.princeton.edu/vol6-trans/129
The Einstein Field Equations
https://en.wikipedia.org/wiki/Einstein_field_equations
Presentation about the Sequence of Events
http://web.mit.edu/8.286/www/slides07/Einstein-and-Friedmann.pdf
Tensor Densities:
https://en.wikipedia.org/wiki/Tensor_density
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Created by Henry Reich
In this video, Karl Battams of the Naval Research Lab talks us through a visualization of the comets that SOHO has witnessed.
Since its launch nearly 20 years ago, NASA and the European Space Agency's Solar and Heliospheric Observatory has spotted 3000 comets. The mission's The Large Angle and Spectrometric Coronagraph (LASCO) instrument blocks out the bright solar disk, making it easier to see the corona of plasma and dust around the Sun, normally only visible during solar eclipses. This instrument also provides a very large field of view of the region around the Sun.
This visualization utilizes SOHO data from 1998 - 2010 and shows over 2000 comets. Comets that were first observed by SOHO carry no labels, and comets witnessed by not discovered by the spacecraft are represented with their labels. Trails on the comets are color coded based on family: yellow - unaffiliated comets, red - Kreutz group, green - Meyer group, blue - Marsden, cyan - Kracht, and magenta - Kracht 2.
To find the visualizations without narration or music, please visit http://svs.gsfc.nasa.gov/goto?4344
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Planets and stars can be really big, but they pale in comparison to some of the largest black holes out there. In this video, we take a look at the full size range of black holes, from collapsed stellar remnants the size of a city to the solar system-sized monsters that dominate galaxies.
Enjoy!
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Odyssey by Savfk (copyright and royalty free dramatic, orchestral, intense, epic soundtrack music) https://www.youtube.com/watch?v=XF8mFWPilPg
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