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About But what is the Riemann zeta function? Visualizing analytic continuation

Unraveling the enigmatic function behind the Riemann hypothesis Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/zeta-thanks Home page: https://www.3blue1brown.com/ Posters/shirts for this visualization at http://3b1b.co/store Music by Vince Rubinetti: https://soundcloud.com/vincerubinetti/riemann-zeta-function Check out some of Vince's other work here: http://www.vincentrubinetti.com/ For those who want to learn more about complex exponentiation, here are a few resources: - My video on the topic: http://youtu.be/mvmuCPvRoWQ - Mathologer's: https://youtu.be/-dhHrg-KbJ0 - Better Explained: https://goo.gl/z28x2R For those who want to learn more about the relationship between 1+2+3+4+... and -1/12, I'm quite fond of this blog post by Terry Tao: https://goo.gl/XRzyTJ Also, in a different video "What does it feel like to invent math", I give a completely different example of how adding up growing positive numbers can meaningfully give a negative number, so long as you loosen your understanding of what distance should mean for numbers: https://youtu.be/XFDM1ip5HdU Interestingly, that vertical line where the convergent portion of the function appears to abruptly stop corresponds to numbers whose real part is Euler's constant, ~0.577. For those who know what this is, it's kind of fun to puzzle about why this is the case. Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld ------------------ 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://goo.gl/WmnCQZ Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown

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About YouTube Live View Counter

YouTube Live View Counter is the best way to check your Favorite Creator's Statistics updated in real-time! Data seen on Most Social Medias might be inacurate or delayed, that's why Livecounts.io came with idea for YouTube Live View Counter!

Everything is directly taken from official API Service provided by Social Networks. Every single count is updated every 2 seconds and is as accurate as possible.

To search for specific channel simply click "Change User" button below Follower Count Box, type your favorite creator's username and you're good to go! This IS NOT case-sensitive thus you type for example "MrBeast" or "MrBeAsT" and it should still work!

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The YouTube Live View Counter explained

What the YouTube Live View Counter does

The YouTube Live View Counter tracks the view count on a single video and refreshes it about every three seconds, the fastest cadence we run. When a big upload or a premiere goes live, YouTube's own view count updates in slow, lumpy jumps and freezes for stretches while it verifies views. This tool reads the public figure far more often, so you see the number climb in something close to real time.

Under the main view count you get three more live stats for the same video: likes, dislikes, and comments. The dislike figure is worth calling out. YouTube hid the public dislike count in 2021, and this counter brings back an estimate so you can still gauge how a video is landing, not just how many people opened it.

How to use it

Want the counter on a stream or a watch-party page? The embed option gives you a widget you can drop in. Want to race two videos, maybe a music video against its rival's? The compare tool puts both view counts side by side.

  1. 1Paste the video's URL, or search for it by title. A full YouTube link is the surest way to land on the exact video you mean.
  2. 2Confirm the right video from the results, since popular titles get copied and reuploaded constantly.
  3. 3Watch the view count climb. The likes, dislikes, and comments update alongside it, and the chart tracks the pace over time.

Why the count moves the way it does

View counting on YouTube is stricter than subscriber counting. YouTube checks that a view is a real person watching, not a bot or an accidental reload, which is why a brand-new video's count can stick at a suspiciously round number before it lurches forward. What you see here mirrors that. During a premiere or a viral spike the number races. Once the initial rush fades it settles into a steadier pace.

All of it is public. This is the same view count sitting on the video's page, pulled more often and shown without the delay YouTube adds when it is busy verifying. We do not inflate anything or add views. We just make the real number easier to watch as it changes.

Reading the chart

The chart under the counter plots every reading, so its slope is a live read on how fast the video is gaining views. A steep climb in the first hour is the sign of a video the algorithm is pushing hard. When the slope flattens, the initial rush is over. Turn on Advanced Metrics to add the total views gained since you opened the page and an average per-minute rate. That is the quickest way to tell a genuine breakout from a video that opened fast and then stalled.

The likes and comments moving in step with views tell you something too. A video gaining views but almost no likes is spreading without landing. Strong likes and comments alongside a climbing view count is the shape of a video people actually care about.

The moments people show up for

A new music video from a major artist is the classic case. Fans open the counter the second it drops to watch the first million, then the first ten million, roll in over the opening hours. Records get set and broken this way, and a live counter is the only place to feel the pace rather than read the recap.

The same goes for anything chasing a landmark. A video creeping toward a billion views pulls a crowd who want to catch the odometer flip. Creators use it too, watching how a fresh upload gathers views in its first hour to judge whether it is breaking out.

Common questions

Why does the count sometimes freeze? YouTube pauses public view counts while it verifies that new views are real, usually on fast-moving videos around round numbers. The counter reflects whatever YouTube is showing, so it freezes when YouTube does, then catches up in a jump.

Where does the dislike number come from? YouTube removed the public dislike count in 2021. The estimate here is built from the data that was public before the change plus ongoing signals, so treat it as a strong estimate rather than an exact figure. Likes and comments stay exact, because those are still public.

Does it work for any video, and is it free? Any public video works. Private, unlisted, or restricted videos that hide their stats cannot be tracked, because the numbers are not public. It is free, with no sign-up. Ads keep it running. Paste a video link and watch.

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