How to find the coordinate vector given a basis and a vector.
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This is my video series about Linear Algebra. I hope that it will help everyone who wants to learn about it.
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(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
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When working with vectors we often implicitly use the standard basis. For example, the vector x = [2; -3] tells us the coordinates with respect to the standard basis {[1; 0], [0; 1]}.
At other times it is desirable to work with different coordinate systems that are represented by a different basis. We denote the vector x with respect to the basis B as [x]B.
In this problem we’re provided a basis B and the [x]B. We then compute the vector x, the coordinates of [x]B with respect to the standard basis.
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In coordination games, there are two Nash equilibria. Find out why and how one of them can be selected. Learn more about economic games in the free ebooks The Economy, Unit 4.13: https://tinyco.re/TE-4-13 and ESPP, Unit 2.12: https://tinyco.re/ESPP-2-12.
CORE is a global community of learners, teachers and researchers that is transforming how economics is learned by bringing recent advances in the field to bear on societal challenges such as the future of work, climate change and inequality, using free interactive online resources and implementing the best new teaching techniques. Find out more at https://www.core-econ.org.
The second half of my 7 hour conversation with Carl Shulman is out!
My favorite part! And the one that had the biggest impact on my worldview.
Here, Carl lays out how an AI takeover might happen:
– AI can threaten mutually assured destruction from bioweapons,
– use cyber attacks to take over physical infrastructure,
– build mechanical armies,
– spread seed AIs we can never exterminate,
– offer tech and other advantages to collaborating countries, etc
Plus we talk about a whole bunch of weird and interesting topics which Carl has thought about:
– what is the far future best case scenario for humanity
– what it would look like to have AI make thousands of years of intellectual progress in a month
– how do we detect deception in superhuman models
– does space warfare favor defense or offense
– is a Malthusian state inevitable in the long run
– why markets haven’t priced in explosive economic growth
– & much more
Carl also explains how he developed such a rigorous, thoughtful, and interdisciplinary model of the biggest problems in the world.
Links
Catch part 1 here: https://youtu.be/_kRg-ZP1vQc
Transcript: https://www.dwarkeshpatel.com/carl-shulman-2
Apple Podcasts: https://bit.ly/3r1HBJk
Spotify: https://bit.ly/437t50c
Follow me on Twitter: https://twitter.com/dwarkesh_sp
Carl’s blog: http://reflectivedisequilibrium.blogspot.com/
Sponsor
This episode is sponsored by 80,000 hours. To get their free career guide (and to help out this podcast), please visit 80000hours.org/lunar.
Timestamps
(0:00:00) – Intro
(0:00:47) – AI takeover via cyber or bio
(0:32:27) – Can we coordinate against AI?
(0:53:49) – Human vs AI colonizers
(1:04:55) – Probability of AI takeover
(1:21:56) – Can we detect deception?
(1:47:25) – Using AI to solve coordination problems
(1:56:01) – Partial alignment
(2:11:41) – AI far future
(2:23:04) – Markets & other evidence
(2:33:26) – Day in the life of Carl Shulman
(2:47:05) – Space warfare, Malthusian long run, & other rapid fire
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Timestamps:-
• 00:00 – Introduction
• 00:46 – Nervous Tissue
• 3:23 – Neuron
• 14:21 – Types of Neurons
• 18:02 – Types of Nerve Fibres
• 22:34 – Neural System
• 33:28 – Nerve Impulse
• 40:57 – RMP
• 57:58 – Generation of Nerve Impulse
• 1:05:21 – Conduction of Nerve Impulse
• 1:11:26 – Transmission of Nerve Impulse
• 1:21:01 – Brain
• 1:26:06 – Cranial Meninges
• 1:31:40 – Cerebrum
• 1:57:03 – Mid Brain
• 2:03:55 – Cerebellum
• 2:11:17 – Spinal Cord
• 2:16:28 – Autonomic Nervous system
• 2:20:48 – Reflex action
• 2:32:07 – Sensory Receptors
• 2:39:11 – Eye
• 3:00:40 – Ear
There are many other important topics of Biology that we are going to cover in upcoming videos for JEE/NEET and Class 11th Boards exam. Stay tuned with Physics Wallah English.
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Do you want to improve your coordination? Try these 4 easy brain exercises to boost the synapses in your brain that regulate coordination.
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Millions of people suffer silently from mental health related issues. Yet our society still places taboos around openly talking about relevant mental health topics like loneliness, depression, and anxiety. As a result, our young adults don’t know how to talk about it constructively, where to turn to, or what resources they have to combat this real-life threat to their wellbeing.
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Based on Economic Development, 13th Edition, Chapter 4, Sections 4.1 – 4.2
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Fall 2020 – Hacettepe University – 4th year
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This is a video lesson which looks at the role of nerves and hormones in multicellular organisms. For more Biology video lessons check out www.anytimeeducation.com
Let’s learn the mechanism of reflex actions
More free lessons & practice -https://www.khanacademy.org/science/in-in-class9th-physics-india
Khan Academy is a nonprofit organization with the mission of providing free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help!
Created by Mahesh Shenoy
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Coordination has a critical role in a child’s skill level in a number of activities as they grow and develop – ranging from performance in sports to academic performance and even attitudes about school and education.
Watch physical therapist Kendra VanWasshenova and her assistants Michael and Elena demonstrate some kid-friendly coordination exercises you can try at home!
