The math behind cryptocurrencies.
Help fund future projects:
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters:
This video was also funded with help from Protocol Labs:
Some people have asked if this channel accepts contributions in cryptocurrency form. As a matter of fact, it does:
ENS: 3b1b.eth
2^256 video:
Music by Vincent Rubinetti:
Here are a few other resources I'd recommend:
Original Bitcoin paper:
Block explorer:
Blog post by Michael Nielsen:
(This is particularly good for understanding the details of what transactions look like, which is something this video did not cover)
Video by CuriousInventor:
Video by Anders Brownworth:
Ethereum white paper:
Timestamps:
0:00 - Introduction
2:25 - Ledgers and digital signatures
7:21 - The ledger is the currency
10:06 - Decentralization
12:26 - Cryptographic hash functions
14:38 - Proof of work and blockchains
19:42 - Double spending
21:41 - Block times, halvenings, and transaction fees
24:40 - Thanks
Thanks to these viewers for their contributions to translations
Italian: @lcl45
------------------
Animations are largely made using manim, a scrappy open-source python library.
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
Stream the music on Spotify:
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, 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:
Various social media stuffs:
Website:
Twitter:
Patreon:
Facebook:
Reddit:
![But how does bitcoin actually work? [LGNUSt6G]](https://i.ytimg.com/vi/bBC-nXj3Ng4/sddefault.jpg)
Losing Weight Made Easy: Unraveling the Secrets of Keto + ACV Gummies
The keto diet has gained immense popularity in recent years, and for good reason. By drastically reducing carbohydrate intake and focusing on high-fat foods, many individuals have successfully shed unwanted pounds. However, one crucial component often overlooked is its combination with Apple Cider Vinegar (ACV) gummies – an unbeatable duo that amplifies the fat-burning powers of this popular diet.
Breaking Down Weight Loss Barriers: The Science Behind Keto + ACV Gummies
When discussing effective weight loss methods, few diets come close to replicating the keto model. At its core lies a simple yet intriguing concept: turning one's body into an "on-demand" fat-burning machine by manipulating metabolism and promoting energy production in cells through mechanisms known as mitochondrial biogenesis (1). This phenomenon explains why low-carb dieters often experience significant improvements in weight loss during their first few weeks.
Furthermore, research has demonstrated that incorporating ACV into a diet can have numerous health benefits – among them improved appetite regulation, enhanced digestion efficiency (2), and decreased body mass index levels. Pairing these characteristics creates an exceptional formula designed to support sustainable weight loss while reducing cravings for unhealthy snacks common on low-calorie diets like keto.
Understanding the Role of Ketosis in Fostering Weight Loss
In exploring how ketones facilitate energy production, it becomes clear that a diet which promotes efficient ketone generation has several advantages. For one, when you train your body to become adapted at breaking down fatty acids for fuel (termed being "keto-adapted"), it develops remarkable endurance and stamina – crucial factors in maintaining muscle mass during prolonged calorie restriction phases associated with diets like keto.
Moreover, focusing on increasing fat loss without losing essential muscles allows dieters not only to achieve their ideal physique but also maintain higher levels of mitochondrial function throughout life. Given these inherent properties make ketosis such an efficient method for shedding pounds efficiently and healthily – integrating ACV into this weight management regimen undoubtedly amplifies results even more so by encouraging optimal digestion patterns required in processing vital nutrients during times when food intake may be reduced significantly.
Overcoming Common Weight Loss Challenges: What to Expect When Combining Keto + ACV Gummies
Those using the keto diet often encounter frustrating challenges that hinder their progress towards desired outcomes such as weight loss and improved overall well-being – particularly factors surrounding stress (the 'cortisol factor') influencing an individual's ability achieve or maintain significant body mass reductions even once successful initial adaptations have occurred due mostly hormonal resistance against typical interventions like healthy eating combined exercise habits seen amongst individuals who adhere whole food consumption pattern closely observed when implementing keto nutrition recommendations into routine practices daily without fail day and time consistently.
.
