Primer

Primer Merchandise: https://store.dftba.com/collections/primer
Support Primer on Patreon: https://www.patreon.com/primerlearning

For discussion and updates
- Discord: https://discord.gg/NbruaNW
- Reddit: r/primerlearning
- Twitter: @primerlearning
- Facebook: facebook.com/primerlearning

Streaming myself working on these monstrosities:
- Twitch: https://www.twitch.tv/primerjustin

This video is presented under a Creative Commons Attribution-NonCommercial-ShareAlike License. More at:
https://creativecommons.org/licenses/by-nc-sa/4.0/

Made with Unity
Thanks to Same Van Cise and Sebastian Lague for helping me learn Unity. You can find some of their work here:
https://vancisesam.com/
https://www.youtube.com/user/Cercopithecan 

Music by Mathieu Keith. For business inquiries: mathieu.keith@gmail.com

Several other inputs into the graphics are from public domain contributions to blendswap.com

Thanks to supporters on Patreon, especially:
Zachariah Richard Fournier
Vladimir Duchenchuk
Noah Healy
Jason Han
Jordan Scales
Jacob Maes
Marcial Abrahantes
Luc Cedric R.
Kairui Wang
Feimeng Zheng
Erik Broeders
Tamas Gombkoto
Sean Barker
Leonardo Kluppel
Eric Helps
Bas Velner
Victor Moisescu
Tudor Lincu
Josh White
Ben Komalo
Ben Kamens
Charly Cardeño
Aymeric Duigou--Majumdar
Wyatt Nelson
Will Robinson
Tom
ThePotatoGuy
Tengou
Talon Howitt
Sam Van Cise
Ryan Mahuron
Roy Steves
Rikard Eide
Ramon Leon
potted_penguin
Philippe Panzini
Paul Straw
Niko
Nicky Case
Morgan Baglin-Clarke
Mitchell Douglass
Michael Wang
Michael Jones
Max Kaye
Matthäus Pawelczyk
Martin Obretenov
Lotus
Lee Berman
Krum Valkov
Kevin Holesh
ketura
Jonathan Sterkenburg
Jeff
Jason Prado
Jason Louro
Jacob Luedecke
Garrett F
EndyStar
Elliot Press
Edono Dondolo
DanSoc
Daniel Schramm
Daniel Kjellevold Steinsland
Daniel Giavedoni
Colin Winhall
Christy Serbus
Chris Loftus
Chris
Brian
Ben McGill
Anselm Eickhoff
Andreas Carbel
ALoneCoder
Alexander Mahone
Alex Garber
Alex Beardsley
Alec Burns
3blue1brown

Simulating Foraging Decisions

More than you ever wanted to know about Hamilton's rule:
https://users.ox.ac.uk/~grafen/cv/oseb.pdf

For discussion and updates
- Twitter: @primerlearning
- Discord: https://discord.gg/NbruaNW
- Reddit: r/primerlearning

Plush blobs and other merch: https://store.dftba.com/collections/primer
Support these videos on Patreon: https://www.patreon.com/primerlearning

This video is presented under a Creative Commons Attribution-NonCommercial-ShareAlike License. More at:
https://creativecommons.org/licenses/by-nc-sa/4.0/

Made with Unity and Manim
https://github.com/Helpsypoo/PrimerUnity
https://www.manim.community

Music by Mathieu Keith. For business inquiries: mathieu.keith@gmail.com

Several other inputs into the graphics are from public domain contributions to blendswap.com

Made possible by support through Patreon:
abledbody
Alba Caparros-Roissard
AlecZero
Alex Garber
ALoneCoder
Anders Fjeldvær
Andrew Lang
Andrew Panin
Angela Tam
Anthony Eufemio
Aymeric Duigou--Majumdar
Ben
Ben Kamens
Ben Komalo
Brian Cloutier
Brodie Alexander
Christian Gruber
Christopher
Christy Serbus
cooper
Cowit
Cynical Manchild
Daniel Kjellevold Steinsland
Daniel Schramm
Duncan Kight
Edono Dondolo
Eric Helps
Erik Broeders
Fabian Aisenbrey
Fabien Espanol
Flavio Kindler
Gabriele Siino
Garrett
Ghost Goat
Guguke
Jacob Luedecke
Jason Prado
Jeff
Jeff Linse
Jeremy
John Shaffstall
Jon Mundle
Jorge Arroyo
José Hamilton
Josh White
Juan Camilo Chaparro
Kairui Wang
ketura
Kevin Holesh
Kevo
Krum Valkov
Lotus Moonveil
Luc Cedric R.
Marcial Abrahantes
Matt Welke
Matthäus Pawelczyk
Matthijs Ruijgrok
Mike Schmidt
Noah
Noah Healy
OuroCat
Philipp Lanwert
Ride To Vote
Rikard Eide
Roy & BreAnna Steves
Sam Shaw
Sam Van Cise
Sean Barker
Stevie Hryciw
sunny ho
Sven Le Moine Bauer
Talon Howitt
Timothy Furman
Tobias Kienzler
Trip Might
vigo oudenaarden
Vladimir Duchenchuk
Will Robinson
Zachariah Richard Fournier
3blue1brown

Simulating the Evolution of Sacrificing for Family

In this video, we go beyond equilibrium and think about how populations of replicators grow, or don't. The second in a series on evolution.

Made with Blender and python.

Special thanks to supporters on Patreon, especially:
Jordan Scales
Eric Helps
Ben Kamens

Support Primer on Patreon: 
https://www.patreon.com/primerlearning

For discussion and updates
- Discord: https://discord.gg/NbruaNW
- Reddit: r/primerlearning
- Twitter: @primerlearning
- Facebook: facebook.com/primerlearning

Streaming myself working on these monstrosities:
- Twitch: https://www.twitch.tv/primerjustin

Explanation of how exponential growth comes from a linear rate function. (Promised at 7:00)
https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-exp-models/v/modeling-population-with-simple-differential-equation

License information:
Creative Commons 4.0 (CC-BY-NC). More info at https://creativecommons.org/licenses/by-nc/4.0/

Speaking of attribution:

The music is "A remedy for melancholy" by Kai Engel, distributed under a CC-BY license via the Free Music Archive. http://freemusicarchive.org/music/Kai...

The chicken is from a public domain contribution to https://www.blendswap.com/

How life grows exponentially

Try catching cheaters yourself: https://primerlearning.org/

Support these videos on Patreon: https://www.patreon.com/primerlearning
Plush blobs and other stuff: https://store.dftba.com/collections/primer

Binomial probability example (the whole section on Khan Academy may be helpful)
https://www.khanacademy.org/math/statistics-probability/random-variables-stats-library/binomial-random-variables/v/probability-of-making-2-shots-in-6-attempts

For discussion and updates
- Discord: https://discord.gg/NbruaNW
- Twitter: @primerlearning
- Reddit: r/primerlearning

Made with Unity and Manim
https://github.com/Helpsypoo/PrimerUnity
https://www.manim.community/

Made possible by support through Patreon:
Anthony Eufemio
Jon Mundle
Zachariah Richard Fournier
Vladimir Duchenchuk
Spline
Christian Gruber
Kairui Wang
Luc Cedric R.
Erik Broeders
Anders Fjeldvær
Jeremy
Guguke
Shayn Osborn
Brian Cloutier
Eric Helps
Sean Barker
Stevie Hryciw
Ben Kamens
Tim Barber
Christy Serbus
Ghost Goat
Sam Shaw
Rikard Eide
Sam Van Cise
Kevin Holesh
Jason Prado
Jeff
Garrett
Daniel Kjellevold Steinsland
Alex Garber
Krum Valkov
Matthäus Pawelczyk
OuroCat
Jacob Luedecke
ketura
Gabriele Siino
Kevo
abledbody
Alba Caparros-Roissard
Jeff Linse
Timothy Furman
Andrew Lang
Flavio Kindler
John Shaffstall
Bez Noferesti