This talk discards hand-wavy pop-science metaphors and answers a simple question: from a computer science perspective, how can a quantum computer outperform a classical computer? Attendees will learn the following:
— Representing computation with basic linear algebra (matrices and vectors)
— The computational workings of qbits, superposition, and quantum logic gates
— Solving the Deutsch oracle problem: the simplest problem where a quantum computer outperforms classical methods
— Bonus topics: quantum entanglement and teleportation
The talk concludes with a live demonstration of quantum entanglement on a real-world quantum computer, and a demo of the Deutsch oracle problem implemented in Q# with the Microsoft Quantum Development Kit. This talk assumes no prerequisite knowledge, although comfort with basic linear algebra (matrices, vectors, matrix multiplication) will ease understanding.
— Video timeline (thanks to user «noonesperfect»)
0:36 Question 1
1:13 Answer 1
1:29 Introduction to tetration
3:37 How exponentiation works in tetration
6:10 Python program for power tower iterations
8:40 Question 2
9:32 Python Program regarding question 2
10:37 Answer 2 and explanation
13:18 Power tower for infinite size converges or not? (Thumbnail question)
15:21 Question 3
16:28 Footage of Grants setup arrangement problem due to construction-work back at home.
16:49 Answer 3 and explanation
17:40 Checking logic behind 2 different problems of power towers whose answer converges to the same value (Is it even possible?)
19:42 Checking same logic using Desmos graph tool i.e. Cobweb Graph (Desmos graph link in description)
28:12 Question 4
28:51 Questions from audience tweets
29:15 Knuths Up Arrow Notation and Grahams Number (Check Numberphile video in description)
32:32 Answer 4 and explanation
37:29 Homework/Challenge Puzzle
39:20 Thumbnail question power tower logic
40:55 Audience questions from twitter
41:45 Power tower for complex numbers/Fractal set
45:19 Brainteaser
48:06 More questions from tweets
53:17 Notes for lock-down series in Grants Tweeter
— The live question setup with stats on-screen is powered by Itempool. itempool.com/
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then «add subtitles/cc». I really appreciate those who do this, as it helps make the lessons accessible to more people.
— 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: 3b1b.co/subscribe
From the statisticians forecasting sports scores to the intelligent bots beating human poker players, Adam Kucharski traces the scientific origins of the worlds best gambling strategies.
Watch the Q
Mistakes:
In the off-handed remarks on quaternions, I mentioned rotation in 4d would require 10 degrees of freedom. Thats wrong, what I should have said was it requires 6 degrees of freedom, and rotation in 5D is what requires 10 degrees of freedom.
— Video Timeline (Thanks to user «Just TIEriffic»)
0:00:00 Welcome
0:00:55 Q1: Prompt (Would you take an imaginary interest rate)
0:02:05 «e to the pi i for dummies» video shoutout
0:02:45 Q1: Results
0:03:30 Q2: Prompt (two banks, two rates)
0:04:55 Ask: Beauty of connections in math
0:06:00 Q2: Results
0:07:05 Desmos for Q2
0:09:10 Q3: Prompt (savings growth rate, 6% every 6mo)
0:10:35 Q3: Results
0:12:35 Desmos graph explored
0:14:45 Breaking down an interest rate
0:18:00 An interesting interest equation
0:19:20 Q4: Prompt (100*(1 0.12/n)^2 as n → ∞)
0:21:05 Ask: Quaternions
0:22:35 Q4: Results
0:24:50 Explaining Q4
0:26:40 Defining e
0:28:40 The definition of e from previous lectures
0:30:45 The imaginary interest rate
0:32:35 Graphing this relationship
0:33:50 The imaginary interest rate animation
0:37:55 Compounding continuously with i
0:40:45 The spring
Visit TED.com to get our entire library of TED Talks, transcripts, translations, personalized Talk recommendations and more.
Elon Musk discusses his new project digging tunnels under LA, the latest from Tesla and SpaceX and his motivation for building a future on Mars in conversation with TEDs Head Curator, Chris Anderson.
The TED Talks channel features the best talks and performances from the TED Conference, where the worlds leading thinkers and doers give the talk of their lives in 18 minutes (or less). Look for talks on Technology, Entertainment and Design — plus science, business, global issues, the arts and more. Youre welcome to link to or embed these videos, forward them to others and share these ideas with people you know. For more information on using TED for commercial purposes (e.g. employee learning, in a film or online course), submit a Media Request here: media-requests.TED.com
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then «add subtitles/cc». I really appreciate those who do this, as it helps make the lessons accessible to more people.
— 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: 3b1b.co/subscribe
Также ознакомьтесь с блогом Криса Олаха: colah.github.io/
Его сообщение о нейронных сетях и топологии особенно красиво, но, честно говоря, весь материал там замечательный.
И если вам это нравится, вы будете * любить * публикации на дистилляции: distill.pub/
«Но я уже прожорливо поглотил работы Нильсена, Ола и Уэлша», я слышу, как вы говорите. Хорошо, тогда посмотри на себя. В этом случае я бы рекомендовал продолжить работу над книгой «Глубокое обучение» Гудфеллоу, Бенгио и Курвиллом.
— 3blue1brown — это канал об анимации математики, во всех смыслах одушевленного слова. И вы знаете упражнение с YouTube, если хотите оставаться в курсе новых видеороликов, подписываться и щелкать по колоколу, чтобы получать уведомления (если вы в этом).
Если вы новичок в этом канале и хотите увидеть больше, это хороший плейлист: 3b1b.co/recommended
3blue1brown — это канал об анимации (во всех смыслах слова) математических идей. И, по традиции Youtube, если вы хотите быть в курсе всех новых видео, подписывайтесь и нажимайте на колокольчик, чтобы получать оповещения.
Если вы совсем недавно открыли для себя этот канал, вот отличный плейлист для начала: 3b1b.co/recommended
О матрицах можно думать как о трансформациях пространства, и понимание того как это работает является ключевым для понимания многих других идей в Линейной Алгебре, которые мы будем рассматривать дальше.
Подобные видео финансируются сообществом через Patreon.
Там вы сможете получить доступ к новым видео раньше всех. 3b1b.co/support
— 3blue1brown это канал с анимированной математикой, во всех смыслах слова «Анимированной». Это комбинация Математики и развлечения — в зависимости от Вашего настроения.
Если Вы первый на этом канале и хотите увидеть больше, начните с плейлиста:: goo.gl/WmnCQZ