Types of Numbers in Math | ASMR whisper

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Description: The first major advance in abstraction was the use of numerals to represent numbers. This allowed systems to be developed for recording large numbers.
ASMRtist mentioned (Decaf-math): / @decafmathasmr
The ancient Egyptians developed a powerful system of numerals with distinct hieroglyphs for 1, 10, and all the powers of 10 up to over 1 million. A stone carving from Karnak, dating from around 1500 BC depicts 276 as 2 hundreds, 7 tens, and 6 ones; and similarly for the number 4,622. The Babylonians had a place-value system based essentially on the numerals for 1 and 10, using base sixty, so that the symbol for sixty was the same as the symbol for one, its value being determined from context.
There's counting numbers like these that our ancestors used, there's the more abstract "zero" that generally took longer for the Egyptians, Babylonians, Indians, Chinese, Meso-Americans, and Greeks, then came numbers in the opposite 2-dimensional direction, known as negative integers.
The next step was dividing one integer by another, called a fraction, that can also be expressed as a finite decimal. Seems rational. Then came weirdly irrational numbers that could not be expressed as a decimal with a definite end. The Egyptians and Pythagoreans knew how strange it was that a number multiplied by itself to get exactly 2, did not exist in finite form. It's decimal does not repeat and does not end. Like pi, it goes on into infinitely more precise values, never reaching exactly 2.00000... when squared.
That's not to even mention the square root of a negative number, which get's us into the realm of complex numbers.
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[@ASMRShortbread]

Everyone needs to know about this channel; what you do is so unique. Thank you for bringing knowledge and relaxation to the asmr community. A few nights ago I watched your Guy Fawkes video and then proceeded to binge watch some of your older uploads. I am about to go on my lunch break and this will be filling it! Thank you. 💜

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Thats really kind shortbread. Thank you

[@cessily89]

This channel is my happy place.

[@KutuluMike]

There are numbers beyond the complex, e.g. the quaternions (which are formed by extending the complex numbers the same way the complex numbers extend the reals). That process can be repeated basically forever, but the quaternions in particular were used to develop electromagnetic theory, and show up in 3-d graphics all the time.

[@hazza2585]

Your ASMR style is so unique!

[@lisapudsey668]

It's seriously the best feeling listening to this. The whisper.. the subject matter.. rain patter.. so nice!

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i'm sick out of my mind and the first 10 seconds immediately made my eyes roll back thanks for this one my dude

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Get better soon

[@user-wm7fu2ef2x]

Wow I never knew about how unique the design of buildings is it is actually quite fascinating and beautiful just learning about this

[@BMGISA]

Most relaxing math class ever! This style of teaching should be in all schools. Thank you for sharing 🙂

[@jaiboibiscuit2363]

i'm a pure mathematics undergrad in the UK, and i have some cool (but also rather abstract and wacky) extensions to ideas about numbers that go beyond even the complex numbers for you, which i've come across in my algebra lectures: 1. the "hamiltonian quaternions" extend the notion of the square root of minus one, by defining three different solutions to the equation x^2 = -1. these are called i, j and k. there are some deep and perhaps surprising links between the way these numbers are defined, and practical applications of them in, for example, the way computer graphics are generated. you can read about them here on wikipedia: en.wikipedia.org/wiki/Quaternion 2. the "weyl algebra" is arguably even more abstract, but finds surprising applications in the mathematics governing particle physics (more specifically, it's relevant to the heisenberg uncertainty principle in quantum mechanics). we introduce two letters, P and Q, which can be thought of as being fairly abstract in nature and "solve the equation" PQ - QP = 1. numbers in the weyl algebra are built up using Q and P as building blocks, e.g. Q*P^2 + 3Q - P. the wikipedia article is pretty technical but can be found here: en.wikipedia.org/wiki/Weyl_algebra in both of these sets of numbers, the order in which we perform multiplication matters (if you've come across matrices, you will be familiar with this idea). in the quaternions, i*j = -j*i, and in the weyl algebra PQ = 1 + QP. further understanding either of these new classes of numbers more fully (and accessing the denser bits of their respective wikipedia articles) may require a little background knowledge about the theory of mathematical structures known as sets, groups and rings and the axioms according to which they are defined. some discussion of any of these areas might make for a really interesting video idea if you're up for it :)

[@LetsFindOut1]

thats even better. thanks for the info j. Ill have to dive into that further next time

[@Tony-cm8lg]

You've also got the one point compactification of the reals, I think they call it the extended reals. The point compactifiction of the complex numbers throigh the reimann sphere. Those are both extensions of the reals and complex in a sense Going way beyond that there are the transfinite numbers and conways surreal numbers

[@cpl_]

What’s more relaxing then math I didn’t do my math homework help

[@kissakala1667]

Due to the current COVID19 situation, it has been impossible for me to find company to study with, and from time to time I get really lonely doing everything alone. This video reminds me of the feeling of studying together. I'm currently struggling to find motivation to work with probability theory, and the feeling of not doing this alone does it for me. Thank you for your videos.

[@Zammy-gj8xn]

Wonderful video! Absolutely loved it - I will say one thing though just to peak your interest...at 22:40, I would say that there are actually many many more numbers that Mathematicians study. Examples of such numbers include quaternions and octonions (the quaternions are an extension to the complex numbers, in the same way that complex numbers are an extension to the real numbers,, and the octonions are an extension to the quaternions). Other number systems include the surreal numbers, the hyperreal numbers, and the p-adic numbers (which have been incredibly important in proving results in Numbers Theory - p-adic numbers were utilized, for instance, in Andrew Wiles' proof of Fermat's Last Theorem). As a professor of mine once said, "the p-adic numbers can do everything the real numbers can do, but better!"

[@LetsFindOut1]

wow thanks. math is a fascinating phenomena. its not quite nature, but also not quite purely a human abstraction

[@justinswag3403]

HEY PLEASE MORE *MATH* VIDEOS!!! IM MAJORING IN MATH AND LOVE ASMR SO THIS IS GREAT :)

[@MrTekillaDrunk]

The most relaxing math class I've ever had! Unfortunately (or fortunately) I slept

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This channel highly underrated

[@Cap626]

I actually understood all of this and was sometimes doing it with you, only because this is what we are learning rn 💀

[@DogInatutu]

I dont understand any of this, but I was relaxed either way. Thanks dadboi!

[@DecafMathASMR]

hiii, loved this, Rich. this asmr makes my brain melt and of course the topic being math makes it that much better haha. yes there are things beyond, like quaternions! I've forgotten so much though lol, but I've been meaning to revisit things (in a more relaxed way of course :)) I love your love of learning. Look forward to any math we do together, and am thankful for each time that you put yourself out here on your channel.

[@DecafMathASMR]

oh, and thanks for the shout-out! 💚 glad to have a friend in you as an asmr-mathem-artist (...??)

[@LetsFindOut1]

thanks decaf. look forward to it. we'll sort out a good topic eventually.

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This is like liquid gold!soooo sooooo good...

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Best ASMR channel. Keep it up!

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This motivates me to do my math homework for some strange abstain reason

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I'm so happy I clicked on this video. Thank you for your skilled time.

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thankyou for linking this newer video to the other :) amazing work 'a like before i even listen' always :)

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love your videos that much

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Been a while, but I'm here again. One of my ol favorites to relax and eventually fall asleep to 😌

[@LetsFindOut1]

nice. i enjoyed making this one. thanks the comment eb

[@colinmcmillan6708]

Hey, I just wanted to let you know that there are lots of other types of numbers outside of the complex numbers. They're pretty esoteric, so it makes sense that they didn't come up in your research, but they're really interesting! Some examples are quaternions, which describe rotations in three-dimensional space; and transfinite numbers, which are used to describe the size and ordering of infinite sets. They might make for an interesting wikipedia dive :)

[@LetsFindOut1]

whoa i had no idea. that would be a fun rabbit hole to peek into

[@frankp2371]

Would love to see you do this exact same video in soft spoken.

[@sky3819]

Looooove your math videos!

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thanks for the love sky

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Thanks for this! I believe Euler is pronounced oiler ... either way, I love the video and glad I stumbled onto your work a few weeks ago. Rock on!

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[@LetsFindOut1]

always a pleasure mr. 209

[@banrions]

Math has never been my thing, but turns out you whispering about it to me is.

[@culley9331]

A man of math I see

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I love math! subbed on the spot!

[@LetsFindOut1]

thanks :)

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Hello, I'm back 😀 Ohhh, I've missed these videos!

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Wow man..where do you get these facts? You are one of the genuine ASMR artists on KZbin...keep going bruv!

[@LetsFindOut1]

🙏

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Thank You :)

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Why u gotta do this Rich? I just got up for work!

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I prefer when there is music in the background

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The perfect video for my major lmao

[@Drewellify]

The best one

[@lukaskarpovicius5323]

Relaxing.....

[@sunifi8546]

In math class watching this 😂

[@seanimal3]

Thanks for reminding me why I hated math 😂

[@cup_halfempty]

for once in my life, math is relaxing. wow.

[@Arthurfdlp]

I holded 10 secondes awake haha

[@haleyhoudini]

When Inplay this video horizontally on my phone, a little frenchie pug type dog shows up in the bottom right hand corner.

[@ClaytonPZ]

Why was it goigg all speedy in 1:15. Great video though

[@tehCostHD]

I thought it was (1+root(5))/2

[@MrCubFan415]

It is.

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i love asmr but when i saw math i was like oh heck nah lol i took a math test today welp lol

[@kiannajohn3279]

29:31

[@7billionegosproductions958]

Hey man, like yer videos, but when you said you were gna draw the Empire State, it looks more like you drew the Chrysler bldng

[@LetsFindOut1]

oh. im a dummy

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Naaah bud

[@BradsPitts.]

S E E M S R A T I O N A L

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I am so, so, so sick and tired of Lipton ice tea ads. Vile beverage

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You do realize you have 2x times the number of sybs ASMrtica has...right

[@harlan5339]

Fuck I don’t wanna get up now

[@Lorezion]

I😃SUCK😃AT😃MATH😃

[@baertomeneguzzi9181]

First!

[@MikeSmithMeh]

I've only ever had one communism app ad and it was on this video. What does it mean, Rich?

[@LetsFindOut1]

all numbers must file into the same category... transcendental gulag

[@reesewolf6565]

Just thought I'd let you know that what you called the empire State building is actually the Chrysler building

[@LetsFindOut1]

Lol im so dumb. Thanks for the clarification reese

[@reesewolf6565]

@@LetsFindOut1 no worries man. Awesome video still

[@LetsFindOut1]

Thanks

[@AmirKMilbes]

I didn’t like the background noise, hissing.