Craig Corson merely a casual observer. 7 is divinity, God is very even. 11 is unity with the Elohim, all things are connected by a double helix, electricity, DNA. Some numbers are magical, look at what Mandelbrot did with the Fibonacci sequence.
Wait so the "i" "j" and "k" we use instead of column vectors are actual things. I just thought it was because computers don't deal well with column vectors or at least they're hard to input. I knew about complex numbers but this video actually kind of blew my mind. Cool I guess. Ps. I don't even want to deal with the "e"s
@Z3U5 I assumed that based on the video but I never knew otherwise. Maths is interesting that way. Stuff that seems so far apart is somehow intimately linked like complex numbers and vectors
:( Your Brain ran into a problem and needs to restart. We're just collecting some error info, and then we'll restart for you. Who knew brains could have a PC BSoD? XD
Today's fact: In 1965, a patent was filed for a "birthing apparatus" which would spin pregnant women around at as much as 7G until their baby was flung out from the centrifugal force.
Quaternions are used in 3d computer rendering. I had to learn how it was implemented while working with a 3d library for work related purposes. Apart from the initial learning curve (kinda steep I admit) it's straightforward and logical in its use.
Appreciate video content! Sorry for the intrusion, I would appreciate your initial thoughts. Have you heard the talk about - Lantslay Bigger Man Domination (just google it)? Ive heard some amazing things about it and my old buddy Taylor after many years said ta ta to the annoying small pe.nis issue with it.
I really think this channel needs more attention, it’s so amazing. I absolutely love seeing theses videos in my sub box. Knowledge is the most undervalued infinite resource there is. Period.
Maren, you are amazing at explaining topics like this. Most youtubers would overdo make it sound "so exciting!" as if everyone watching is on antidepressants and lives for nothing more than to "learn more science!." You seem genuinely interested in the topics, not just trying to force us to "love science!"...I already do...because of gret educators like you. Just wanted to say thank you, and I really hope you realize how good you are at this, even if you don't write the scripts you're presentation is genuine and honest, and I know many of us on youtube appreciate that. So glad you're with Seeker. Ok I'm done ranting, have a good day Maren. -Ryan
Hey, thanks so much for this Ryan! I really appreciate the feedback, and I'm so glad you like the videos. And I actually do write the scripts as well! If you'd like more Maren in your day you can find on Instagram @marenbea, on Twitter @marenbeatrice, and on RU-vid at Maren Hunsberger! Hope to see yo around :)
Maren Hunsberger I agree with Ryan! Your shirt was awesome, too. I always check Seeker to see if you're hosting. Keep up the great work! Are you American? just curious because so many youtube hosts are british these days, haha. Have a great day, Oregon-Nate
@@nw_naterhoadarmer1556 Thanks so much! I love this shirt too :) I am American but I did some of my growing up in Europe and I went to grad school in London--you can hear me talk about it in one of my recent vids of my personal channel--it's an FAQ about me
Wow I must have missed this video when it came out. I love quaternions! I’ve studied their algebra, and they are definitely unusual. They also have an analog of an “integer-like” subset of numbers, and they even have some kind of unique factorization into primes
There's also the Sedenions which are 16 dimensional and you can keep going infinitely higher. But the Octonions are the largest that form a normed division algebra over the reals.
Quaternions can be pretty useful in 3D game coding, as they can eliminate some of the issues that can crop up when using other coordinate systems. At the same time, they can be annoying to deal with themselves.
I want to measure position, orientation, and value of a force vector on a known plane in 3D space. Looks like I need to measure on 4 axis (two force and two torque) which really confuses me. The 3 axis case is pretty simple, but having 4 would be really great. Gravity messes things up further -.- Wonder if quaternions would be useful in this case ... but I guess its doable without them and my math is just to bad.
Wow, his vidoes about quaternions are fascinating. And the web tool they made!!! I have played around with it for hours now. Still very confused but I kinda start to feel how they work. Actually I feel like it somehow deepens my understanding of linear algebra, which is really really great, as I am not exactly good at it. But it is still something like the memory of a dream ... it floats away when I want to point at it.
Don't forget - the Earth is moving in several directions, and at very high speeds. If you don't want to end up in empty space, you will need more than a way to travel through time. Take it from one who knows.
YOUR BRAIN CAN NOT HURT BUT THEN AGAIN YOU MIGHT BE THE ONLY ONE THAT HAS ONE THAT CAN. THAT WOULD MEAN YOU ARE NOT A NORMAL HUMAN BEING. ONE WOULD WONDER IF YOU ARE HUMAN.
2 Questions: If the spacial dimensions can be bent by mass are they really fundamental universal dimensions or is there something more fundamental? Why do we not have dimensions of space that allow other properties of the universe such as fields? For example gravitational/Electrical / Strong and weak nuclear etc. When describing a point in space you have only just started to describe it with the first 4 dimensions.
I've been thinking about multiple temporal dimensions for about a year now, but I've never been able to workout what the math for something like that would look like. I recently came across a video by a mathematician who invented something called triplex numbers, and that's the avenue where something like multiple time axes would be found. They're kind of an extension of the split complex numbers, but I'll admit I didn't fully understand them. It was pretty interesting stuff though.
Standard geometric algebras can do multiple temporal dimensions with ease. Quaternions, octonions, triplex, split complex, etc. are another way of doing it that's a more limited subset. Geometric algebra proper is far more powerful.
Please more explanations like this about math. I'm a big picture guy and love science and theories in physics but am limited by my lack of understanding numbers.
I wonder if AI in the future will be able to abstract concepts like this. This high level of mathematical description is something that computers can't yet do
you guys are doing really really great. please keep making these kinds of videos also, a request can you make a video on sterile neutrino and other quantum physics topics like unipolarity etc. that would be really great favour guys. thanks
Yeah, 3D graphics in general deal in 4D space, including 4D Matrices used for general grouping of translation, scaling and rotation operations (in which quaternions are converted to a 4x4 matrix usually, when doing the calcuation) When moving a 3D object on screen you pretty much put it in the 4th dimension, shift it a little there in whatever direction you want, then bring it back in to the third dimension.
This video was really helpful I am really curious to know more about math..! Isn't it amazing that we can bring real life to math...? That's really great....! Love it
Thanks to your RU-vid channel and videos my school got fourth out of 16 schools in the region for sweets for competition as well as getting the sportsmanship award. Thank you so much!
Can you guys do a detailed video of the E8 lattice structure and how it strangely correlates with the standard model of particle physics please? This is a good topic to talk about.
A couple things:A Team of Scientist Discovered (Thoughts of) The Human brain exist in 11 Dimensions just like the Number predicted in string theory. 2.Micho Kaiko did a book related to this Topic involving Higher Dimensions and the Unification of the Fundamental Forces of Nature basically the higher u go the More the Forces are easier to unify.
It's interesting that the dimensions which work with the mathematical numbers are 1d, 2d, 4d, and 8d. It comes with this 2ⁿ pattern (n>=0). And what makes it more interesting is, what about the other dimensions like us who are in the 3d? Does it mean we are in a much more complexity so that too impossible and hard to understand?
Wow, I am trying to discover new kind of numbers. The last interesting ones were hyperrreals and now, octonions. I was dissapointed with octonions. But in the end, happy because is possible to achieve my goal because I don't Know any kind of number that brokes my new... "hipothesys". It works for naturals, reals, complex, hiperrreals and now octonions. So thank you for show me how strong is it.
Neat. I guess these systems were primarily made for computer processing. They can keep adding variables to increase or decrease the amount of represented values for any system that needed numerical representation. So I guess the title was a bit misleading.
As an engineer, having one of the extra dimensions denoted by ‘j’ makes things one step more confusing. As we already use ‘j’ in place of ‘i’ due to ‘’i’ being used to indicate current.
Mathematical objects are how we understand the universe. Unlike some crazy mathematicians, the universe isn't mathematics. We are applying complex ideologies onto what we observe in order to align patterns, regularity, and predictability (thereby) onto reality. Like a map -> math isn't the thing; it is an approximation to that thing.
Robert Templeton so if we don’t use mathematics (which explains the laws of our universe and nature so well), how would you propose we try to understand it, if we don’t use the scientific method and base our understanding on empirical evidence, reason and sound understanding? 🤔
@@carlg5086 He didn't say we should use something else. He only said we use math to understand the universe, but that math is a human concept applied to the universe. Like the maps example he provided, maps are a human concept applied to the Earth, but the Earth itself is not a map.
Do Octonions defy Alan Turing's discovery that there are large numbers that cannot be represented with fewer digits than the number itself has? Could the variability of octonions be manipulated so that you could potentially represent previously unrepresentable numbers (at least up to a higher number than before) with smaller equations?
I know this sounds really stupid, but would we be seeing in 2D? Cuz if the screen we look at is 2D and with colour and other inaccurate stuff aside, it would kinda be indistinguishable if you didn’t move. Or would we be seeing 2.5D? For the depth bit?
Wow... This was an awesome topic. That can be possible that for 3d object to be real 4d spacial dimension are necessary. Maths and physics describing the reality?
Someone should do a study with one person learning a STEM subject for one year at whatever college(the more prestigious the better). The other person spends one year learning the same subject using only RU-vid videos at home. At the end of the year, both are administered a test to see how much useful knowledge is retained. I’d be super curious of the outcome. PS- I was going for brevity so save your scientific method critiques and “actually college is....” etc..
Good old vector calculus 😀 in engineering the most useless math class was differential equations. Still wonder what exactly we learned in that class. I felt matrix algebra much more fun and usable😀
At what level does scribing reading , trying to calculate , and slash or comprehending the equations actually begin to generate actual measurable exotic physical or reletavistic effects
Wait a second, does the validity of this math support the theory of E8 by implying particles work in 8 dimensional space? Is so, doesn’t the simple fact calculations using octonians to explain particle behavior have significant implications about the fabric of space and time itself?
From my understanding of quaternions, the i does not represent an imaginary number but rather the unit vector in the i direction. ijk are all unit vectors in their respective directions. It should be written as i with a ^ over it to denote unit vector and prevent any confusion. The same goes for j and k.
Wait a minute - my *_phone_* is doing math I don't understand?!? That's just 4 dimensions of wrong! Actually, as a casual computer programmer, I can say that we deal with higher dimensions all the time! It's no good trying to picture a 12-dimensional widget. It just means more levels of information. We can build things called "arrays" in computer memory. They can have any number of dimensions you want (up to whatever your program language can handle.) It's like an address. Your address has more than 3 dimensions: your name, street number, street name, city, zip code, etc. It simply means that it takes more pieces of information to specify something, that's all. Thanks for the video. 𝓡𝓲𝓴𝓴𝓲 𝓣𝓲𝓴𝓴𝓲.
This video satisfies my numeric OCD tendencies. Now for some early morning, pre coffee quantum mathematics calculations. I wonder what the calculation of making my coffee is? Loads of variables...Yippie!! 🤪🤘
I don't understand why, but I somehow found this video by using "quantum radar" as my search term in the youtube search bar. While I was in that search space (a place I consider to be similar to the hallway of doors in the Matrix Reloaded) I noticed that over 90% of the links there lead to Military centric channels. This bothered me because I want to hear more about how the thing works and less about how friend or foe can and might apply this tech. RU-vid needs to have some sort of advanced search filter that can help me search for what I want.
