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Parametric representations of lines | Vectors and spaces | Linear Algebra | Khan Academy Teacherflix 8 Views • 2 years ago

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/linear-algebra/ve

Parametric Representations of Lines in R2 and R3

Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_combinations/v/linear-combinations-and-span?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/intro-unit-vector-notation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channe....l/UCGYSKl6e3HM0PP7QR
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Counting and Matching Song | Number Songs for Preschool & Kindergarten | Kids Academy Teacherflix 8 Views • 2 years ago

Thousands of parents and educators are turning to the kids’ learning app that makes real learning truly fun. Try Kids Academy with
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Counting and Matching Song for Kids | Preschool, and Kindergarten | Kids Academy

The first lesson of Mathematics is counting. Every kid gets an introduction to mathematics with counting. This lets the kids be more creative and sharp thinkers as these mathematical activities get to advance with time. Toddlers and kids usually find mathematics as a bit difficult task. Good understanding and learning are very essential for the kids to have a proper grip on mathematics from the start. Frequently worksheets and books are used to make kids learn to count. Counting can be taught in different and easy ways. Kids are fond of playing than learning. That is why they can easily be taught while they play.
Matching games are also another efficient way of making toddlers and kids learn counting and shapes. They can match different shapes and figures to sharpen their mind and gain basic knowledge.
Following are some ideas to make children learn to count:
Teddy Numbers
• Teddy Numbers is a straightforward and exciting counting game for kids to learn in their preschool. Kids can learn to count up to 15 objects and have fun. They only have to do pick and drop an object.
• This game helps the children to not only learn to count but also recognize every number they count or pick and drop.
• The game has different levels for kids ranging from 2 to 5 years old.

Number and picture matching
This simple game is very efficient for learning counting and matching skills.
• Print a few pictures of different objects and every object should have two pictures for matching.
• Similarly, print a few numbers on a page and every number should have two printouts.
• This game will automatically let the children to learn about counting, different shapes of objects and to recognize them so they can be matched.

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AlphaFold - The Most Useful Thing AI Has Ever Done Teacherflix 6 Views • 7 months ago

The biggest problems in the world might be solved by tiny molecules unlocked using AI. Take your big idea online today with https://ve42.co/hostinger - code VE at checkout.

A huge thank you to John Jumper and Kathryn Tunyasuvunakool at Google Deepmind; and to David Baker and the Institute for Protein Design at the University of Washington for their invaluable expertise and explanations.

We’re incredibly grateful to Juanita Bagawan and Lucie Kerley at Google Deepmind, and Ian C. Haydon at the UW Institute for Protein Design for their assistance with some of the animation and imagery used in this video.

Special thanks to those at Google DeepMind Production Studios for their help interviewing John Jumper:
Director - Bernardo Resende
Director of Photography - Robert Messere
Senior Audio Technician - Perry Rogantin
Senior Production Coordinator - Sarah Ellen Morton
Studio Manager - Nicholas Duke

For more on this topic head over to our Patreon for the exclusive extended interview https://www.patreon.com/posts/patreon-with-cut-122274530?utm_medium=clipboard_copy&utm_source=copyLink&utm_campaign=postshare_creator&utm_content=join_link

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0:00 How to determine protein structures
3:50 Why are proteins so complicated?
5:34 The CASP Competition and Deep Mind
9:08 How does Alphafold work?
12:06 3 ways to get better AI
14:24 What is a Transformer in AI?
17:15 The Structure Module
18:35 Alphafold 2 wins the Nobel Prize
20:36 Designing New Proteins - RF Diffusion
22:58 The Future of AI

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Try Snatoms! A molecular modelling kit I invented where the atoms snap together.
https://ve42.co/SnatomsV

Sign up to the Veritasium newsletter for weekly science updates - https://ve42.co/Newsletter

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References and Credits:
How AI Revolutionized Protein Science, but Didn’t End It. (Jun 2024) via Quanta Magazine - https://ve42.co/airev
Jumper, J., Evans, R., Pritzel, A. et al. (Jul 2021). Highly accurate protein structure prediction with AlphaFold. Nature - https://ve42.co/alphafoldtwo
Senior, A.W., Evans, R., Jumper, J. et al. (Jan 2020). Improved protein structure prediction using potentials from deep learning. Nature - https://ve42.co/alphafold
R Zwanzig, A Szabo, B Bagchi (Jan 1992). Levinthal's paradox. PMC, National Institute of Health - https://ve42.co/levparadox
Khatib, F., DiMaio, F., Foldit Contenders Group. et al. (Sept 2011). Crystal structure of a monomeric retroviral protease solved by protein folding game players. Nature - https://ve42.co/proteinfoldingsolved
DeepMind co-founder: Gaming inspired AI breakthrough. (Dec 2020) via BBC - https://ve42.co/aibreakthrough
3Blue1Brown. (Apr 2024). Transformers (how LLMs work) explained visually | DL5 via Youtube - https://ve42.co/transformers
AlphaFold impact stories. via Deepmind Blog - https://ve42.co/foldimpact
Quanta Magazine. (Oct 2024). How AI Cracked the Protein Folding Code and Won a Nobel Prize via Youtube - https://ve42.co/proteinfolding
Looking Glass Universe. (Apr 2024). how AlphaFold *actually* works via Youtube - https://ve42.co/foldworks
Google DeepMind. (Nov 2020). AlphaFold: The making of a scientific breakthrough via Youtube - https://ve42.co/alphafoldvideo
Nobel Prize. (Dec 2024). 2024 Nobel Prize lectures in chemistry | David Baker, Demis Hassabis and John Jumper via Youtube - https://ve42.co/nobelchem
The AlphaFold2 Method Paper: A Fount of Good Ideas. (Jul 2021) via moalquraishi.wordpress - https://ve42.co/Alphafoldpaper
Why Don't We Have More Protein-Protein Drug Molecules? (Dec 2009) via Science - https://ve42.co/proteindrugmol
Data sonification. via Carla Scaletti - https://ve42.co/datasonification

Images & Video:
Available here - https://ve42.co/alphafoldvisuals

And if you want to learn more about how we have been making antivenom check out our previous video How Horses Save Humans From Snakebites - https://ve42.co/veantivenom

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Directed by Sumeet Kulkarni
Written by Sumeet Kulkarni, Derek Muller and Zoe Heron
Edited by Jack Saxon
Animated by Ivy Tello, Emma Wright, Andrew Neet and Fabio Albertelli
Illustrated by Jakub Misiek
Filmed and demos done by Sumeet Kulkarni
Additional research by Geeta Thakur, Vincent Cheng and Emilia Gyles
Produced by Sumeet Kulkarni, Derek Muller, Zoe Heron, Rob Beasley Spence and Tori Brittain
Thumbnail contributions by Ren Hurley, Peter Sheppard and Ben Powell
Additional video/photos supplied by Getty Images and Storyblocks
Music from Epidemic Sound

How The Immune System ACTUALLY Works – IMMUNE Teacherflix 4 Views • 7 months ago

To preorder IMMUNE click here: https://kgs.link/ImmuneBook –– It’s available in English and German and at online retailers it should be available in pretty much all countries too.

Sources & further reading:
https://sites.google.com/view/....sources-immunesystem

The human immune system is the most complex biological system we know, after the human brain, and yet, most of us never learn how it works. Or what it is. Your immune System consists of hundreds of tiny and two large organs, it has its own transport network spread throughout your body. Every day it makes hundreds of billions of fresh cells.

It is not some sort of abstract entity. Your immune system is YOU. Your biology protecting you from the billions of microorganisms that want to consume you and from your own perverted cells that turn into cancer. It's so manifold that it is impossible to cover in one video, so we’ll make a series looking at different aspects of it.

Today, what happens when your body is invaded and your first lines of defenses are engaged in a fight for life and death?

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