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Videos uploaded by user “3Blue1Brown” for the 2015
A Curious Pattern Indeed
 
01:49
A teaser for some future videos regarding a pattern which lures an unsuspecting doodler into thinking it will be powers of two.
Views: 374090 3Blue1Brown
Music And Measure Theory
 
13:13
A connection between a classical puzzle about rational numbers and what makes music harmonious.
Views: 397405 3Blue1Brown
Circle Division Solution
 
08:53
An explanation of a neat circle puzzle involving combinatorics, graphs, Euler's characteristic formula and pascal's triangle. Music: Wyoming 307 by Time for Three
Views: 346064 3Blue1Brown
How to count to 1000 on two hands
 
02:34
Typically when we think of counting on two hands, we count up to 10, but fingers can contain much more information than that! This video shows how to think about counting in binary.
Views: 158946 3Blue1Brown
Euler's Formula and Graph Duality
 
07:27
A description of planar graph duality, and how it can be applied in a particularly elegant proof of Euler's Characteristic Formula. Music: Wyoming 307 by Time For Three
Views: 199908 3Blue1Brown
Euler's Formula Poem
 
01:04
A poem about why e to the pi i equals -1, based on this video: http://youtu.be/F_0yfvm0UoU Full text of the poem here: http://3blue1brown.com/poems/epii Music: "Sundays" by Time for Three, http://www.tf3.com/
Views: 64418 3Blue1Brown
Understanding e to the pi i
 
06:14
Improved version here: https://youtu.be/mvmuCPvRoWQ The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns one action into another. For more information on viewing exponential functions in this new light, check out this article: http://goo.gl/LPyc4R Music: "Wyoming 307" by Time For Three, http://www.tf3.com/
Views: 1355958 3Blue1Brown
What does it feel like to invent math?
 
15:08
An exploration of infinite sums, from convergent to divergent, including a brief introduction to the 2-adic metric, all themed on that cycle between discovery and invention in math. Music: Legions (Reverie) by Zoe Keating ------------------ 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 about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: https://www.youtube.com/playlist?list... Various social media stuffs: Patreon: https://www.patreon.com/3blue1brown Twitter: https://twitter.com/3Blue1Brown Facebook: https://www.facebook.com/3blue1brown/ Reddit: https://www.reddit.com/r/3Blue1Brown
Views: 1147521 3Blue1Brown
A Tau Day Sonnet
 
01:14
An ode to tau in sonnet form.
Views: 33231 3Blue1Brown

Bitcoin client types
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The miners are interested in finding a nonce which will create a hash with certain characteristics. Lastly, they have to find a random value that they included in the header, which makes the computed hash over that header a value below a particular target. In other words, they do not have to agree to change the protocol. Though there are a few gold diggers attempting to fill their pockets and certain projects that aren`t viable and shouldn`t be encouraged in any way. For users running a complete node, it is a fairly painless procedure to upgrade the software to the newest version. The process of locating a new block to extend the blockchain is known as mining. Proof-of-Work systems utilize cryptographic hashing algorithms to create the action of mining a block a complicated computation. Our software is totally incompatible with altcoins. Changes and modifications to how that it works need to be approved by consensus and every CPU gets a vote. To start with, it`s essential to realize that hardware wallet users control entirely their private keys. Whether you`re bullish or bearish on Bitcoin Gold, you ought not lose your coins as a result of careless mistakes! On the 1 hand, it may result in making a coin that solves all the pending issues. There`s no currency or digital asset named Bitcoin Core. Bitcoin Cash increases the range of transactions that may be processed per block. You could send any quantity of money, any place in the Earth, almost at no cost. You`ve made some great money already on the market, but you want more. For a wealthy individual, BTC`s price premium may be viewed as a plus. For someone without lots of money, BCH`s low price may look like a great deal for Bitcoin. If you have some concerns about the worth of Bitcoin after all forks, you need to be ready for a drop. The distinction is that not all of these suffer the chain split. The primary problem is Bitcoin imposes a hard limit on the magnitude of a block, the location where transaction information becomes stored. The end result is many straightforward wallets, called SPV wallets and very commonly found on your phone, will be quite confused about which chain is Bitcoin. In Bitcoin, the most important reason is known as the network effect.