⁣Inside Einsteins Mind: The Enigma of Space and Time

In celebration of the 100th anniversary of Einstein's general theory of relativity, leaders from multiple fields of physics discuss its essential insights, its lingering questions, the latest work it has sparked, and the allied fields of research that have resulted.

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Original Program Date: 05/30/2015
Host: Brian Greene
PARTICIPANTS: Gabriela González, Samir Mathur, Andrew Strominger, Cumrun Vafa, Steven Weinberg

Introduction with Brian Greene 00:00

Participant Introductions 04:25

What aspect of physics is so important that you would tattoo it on your body? 08:05

Steven Weinberg takes us from Newton to Einstein. 12:05

What was the observational support for Einstein theories? 19:20

Can Newtons ideas be extracted from Einstein's? 23:40

What did Einstein think about the Big Bang? 30:58

What did Hubble's observations discover? 33:39

What is the biggest unsolved problem in cosmology? 38:03

What is the history of Black Holes? 40:31

Einstein's thoughts on singularity. 47:33

What is a gravitational wave? 50:49

What does a gravitational wave sound like? 57:52

Combining General relativity and Quantum mechanics. 01:00:28

Cumrun Vafa on String theory. 01:10:50

Samir Mathur explains information loss at a black hole. 01:17:45

Black Holes to Wormholes. 01:28:45

Is the fabric of space time a physical thing? 01:32:24

What is the one question you would want answered in your lifetime? 01:36:37

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✅ In this video,

✔️ Class: 12th
✔️ Subject: Biology
✔️ Chapter: Organisms And Populations
✔️ Topic Name: Difference Between Exponential And Logistic Growth

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Paul Andersen explains how populations eventually reach a carrying capacity in logistic growth. He begins with a brief discussion of population size ( N ), growth rate ( r ) and exponential growth. He then explains how density dependent limiting factors eventually decrease the growth rate until a population reaches a carrying capacity ( K ). A mathematical simulation of this process is included along with a brief discussion of r and K selected species.

Intro Music Atribution
Title: I4dsong_loop_main.wav
Artist: CosmicD
Link to sound: http://www.freesound.org/peopl....e/CosmicD/sounds/725
Creative Commons Atribution License

All images are either Public Domain or Creative Commons Attribution Licenses:
"File:Frog in Frogspawn.jpg." Wikipedia, the Free Encyclopedia. Accessed April 19, 2013. http://en.wikipedia.org/wiki/F....ile:Frog_in_frogspaw
"File:Stress-coloured Brookesia Desperata Female with Two Recently Laid Eggs.png." Wikipedia, the Free Encyclopedia. Accessed April 19, 2013. http://en.wikipedia.org/wiki/F....ile:Stress-coloured_
Nevit. English: White Rabbit, 2011. Own work. https://commons.wikimedia.org/....wiki/File:Rabbit_nev

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This video discusses how all exponential growth eventually tapers off, through one mechanism or another.

Website: https://www.eigensteve.com/

Exponential Growth

Paul Andersen explains how populations experience exponential. He begins by address the major players; N (population size) and r (growth rate). He models population growth in rabbits through four generations. He then shows you how to use a spreadsheet and then algebra to predict future populations.


Intro Music Atribution
Title: I4dsong_loop_main.wav
Artist: CosmicD
Link to sound: http://www.freesound.org/peopl....e/CosmicD/sounds/725
Creative Commons Atribution License

All images are either Public Domain or Creative Commons Attribution Licenses:
Nevit. English: White Rabbit, 2011. Own work. https://commons.wikimedia.org/....wiki/File:Rabbit_nev

This algebra and precalculus video tutorial explains how to solve exponential growth and decay word problems. It provides the formulas and equations / functions that you need to solve it. This video contains plenty of examples and practice problems.

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Here is a list of example problems.
1. Population Growth of Rabbits on an island
2. Depreciation of car value
3. Appreciation of Home value
4. Exponential Growth Bacteria Problem - Finding how much will there if the bacteria doubles or triples every 20 minutes

IMPORTANT CORRECTION: The proper way to write the law of cosines is
C^2 = A^2 +B^2 - 2AB cos(Ψ)

Easy to understand explanation of integrals and derivatives using 3D animations.