OwOmega 8:54 so they are way too real to even be real. **hyperreal** , you can technically count to omega then backward again in finite amount of time just do supertask god can totally do that it doesn't take long this comment wasn't meant to be serious so.. yeah was having fun learning math and counting in term of infinity
@manicmath35577 күн бұрын
@@Garfield_Minecraft HAHAHA thats really clever love the supertask joke HAHAH
@reversev97782 ай бұрын
Very cool vid
@reversev97782 ай бұрын
I think the half versine function is used more so I’d be inclined to say it’s closer to being a “main” function than this one
@manicmath35572 ай бұрын
@@reversev9778 good point!
@klaraaviete914810 ай бұрын
would -w (omega) be a hyperreal number? great video, thanks:)
@manicmath35572 ай бұрын
Oh yes! Hyperreals are just an extension of the reals and act like how real numbers work in algebra so you can of course have negatives!
@taupring11 ай бұрын
Completely agree with you. This is why (IMHO) math as humans have developed it is inconsistent, NOT specific enough, and actually stupid. It makes it so much harder for someone to learn because of this. So many things have just been added to math that what we need is a complete re-design and re-write of both the symbols and the rules/procedures, that incorporates all areas of math (algebra, geom, trig, calculus, etc) into one cohesive set of rules and symbols. I was so tired of it I started developing my own mathematics, which uses relative positions of elements to describe the actions taken to solve, where functions are a built in part of the normal math language and used consistently. In addition, my math presents as a meta language, not requiring variables to create equations, but allowing variables to be used to create a instance of the equations for a specific problem.
@mchikos2 жыл бұрын
This is great!
@manicmath35572 жыл бұрын
Thanks!
@eipimath2 жыл бұрын
Thanks for sharing! I posted a short video on deriving the law of cosines, It should apply for all angles (acute, obtuse, reflex, negative). Hope to get your thoughts.
@manicmath35572 жыл бұрын
Ooo ill check it out thanks!
@tomassajor63262 жыл бұрын
We’re so PROUD of you Josh!!!🙂
@tmlawson7512 жыл бұрын
Been trying to make sense of 'hypernormal' in mathematics to connect it with interdisciplinary subject. So far the closest thing that's written about it is in relation to hyperreal numbers. I understand neither!!!! XD but this is a great video.
@raifegeozay6872 жыл бұрын
there is also things like epsilon^2 it is other number line that is infinitely squished the infinitesimal line. in the same way you can have epsilon^3,epsilon^4 or even epsilon^omega (and its variants) or omega^2, omega^3,..., omega^omega,..., omega^omega^omega,...,omega^omega^omega^omega^... omega times (and of course its variants) and also uncountable infinitely big or uncountable infinitely small (and its variants)
@theuserings2 жыл бұрын
When we are saying like 3(5), that means we are adding 5 three times, or adding 3 five times. 3(5) = 5 + 5 + 5 Using that would also work for variables. 3(a + b) means we are adding a + b three times. So 3(a + b) = (a + b) + (a + b) + (a + b) Simplifying this will give us 3a +3b
@manicmath35572 жыл бұрын
Yes! Was trying to capture that idea in a visual form but i realised i need to change that explanation cos what happens if we multiply hy negative numbers, or fractions, or irrationals as another comment poonted out Still scrating my head thinkin abt it, but thanks for the comment n explanation!
@TheBurgosbrandon2 жыл бұрын
can you proof it with out a using geometry? and just algebra? and what about negative numbers?
@manicmath35572 жыл бұрын
Ooo thats a good idea! Yea looking back on this video it is not very good pr intuitive. I will try a revision thats a better explanation
@TheBurgosbrandon2 жыл бұрын
great proof but why is the proof for the distributive property in the last video using geometry and not algebra?
@manicmath35572 жыл бұрын
Yea i will try redoing it to show different proofs usijg geometry and algebra in a better done video. Thanks for the teedback and enjoying it! Deeply appreciate it
@Alice-to3wj2 жыл бұрын
Well done!
@rafaris22302 жыл бұрын
Great job, Joshua!
@idettax663 жыл бұрын
Hey I really like the quality and the confidence you display in this video! But I just want to clarify some stuff. You said that you can get things like omega +1 and absolon / 2. Since they are both the largest and smallest numbers respectively, does that mean that if you do anything to those numbers using basic functions like plus, minus and all that, it will always equal to itself? As in omega + 1 = omega.
@manicmath35573 жыл бұрын
Hello thanks for the feedback. I think my freezing was quite misleading when I said Epsilon was the smallest and Omega was the biggest. The thing is you can have number is smaller than Epsilon by halving Epsilon, or you can have something after than omega like omega plus 1. Omega isnt the biggest hyperreal. Its bigger than all the reals. But you can have hyperreals more or less than omega. And epsilon is smaller than all reals. But you can have hyperreals more or less than epsilon. Its just that if i had all the reals plus omega. Omega would be biggest in the bunch. But i can have bigger hyperreals than omega Also side note. omega plus 1 isnt actually bigger than omega. This is quite confusing but I will explain more when I talk about Cardinals and ordinals in another video. Omega isnt really a size but a position. So its not really that omega is big. Its that omega in terms of position cones after all the infinite real numhers. This sidenote is confusing but I will elaborate when I talk about it in the future Thank you so much for your feedback, I am not actually very confident in my speaking so this is nice to hear that I may be improving thank you for watching and have a great day
@idettax663 жыл бұрын
@@manicmath3557 oh I think I understand where you’re coming from. Although the concept of hyper reals are completely new to me, I have learnt about countable and uncountable infinities. So I guess it’s somewhat similar to this?
@manicmath35573 жыл бұрын
@@idettax66 yes thats kinda the idea. Vsauce made a video called How to count past infinity. Its so fun and great in explaining this concept. Also how omega plus one is technically not bigger than omega Here kzbin.info/www/bejne/iaO4aox6pL14bpo
@fuji_films3 жыл бұрын
Sin^(-1) of x actually is equal to (sin of x)^(-1). Maybe you're confusing with arcsin that on calculators is written at sin^(-1) of x or maybe you're thinking at sin of x^(-1) and that clearly is not (sin of x)^(-1).
@manicmath35573 жыл бұрын
Oh i think its a reguonal thing sorry. Cos in Singapoee arcsin is replaced by sin to minus 1 x. Which is kinda weird. Maybe I should amend the video since it is different in different countries. Thanks for the feedback!:)
@unconcernedbeast91903 жыл бұрын
5:14 so funny
@unconcernedbeast91903 жыл бұрын
wow . you should play more video games .horrible eye to hand coordination
@manicmath35573 жыл бұрын
@@unconcernedbeast9190 haha sorry if i slipped up something. I cant see very well cos of an eye condition so i have terrible hand eye coordination. Heck. Terrible eye coordination alone lol
@manicmath35573 жыл бұрын
@@unconcernedbeast9190 btw which part did i mess up. Maybe i could edit it to make it better? Thanks for the feedback
@unconcernedbeast91903 жыл бұрын
@@manicmath3557 i just find your drawing funny.
@unconcernedbeast91903 жыл бұрын
@@manicmath3557 thanks . i just realized displacement is the result of adding tow vectors.
@sacodonoel3 жыл бұрын
thats great my friend, you talk very good!, thats a kind of a one-shot-math! cheers!
@manicmath35573 жыл бұрын
Thanks for tye support!
@noskillman65073 жыл бұрын
thanks!
@sruthisruthi39063 жыл бұрын
Well done! Excited to see more from you 😊
@ma.luvimmacabale69513 жыл бұрын
Great job!
@Joshua-qm1hc3 жыл бұрын
good job 👍
@manicmath35573 жыл бұрын
Infinity isnt a nimber. When i said epsilon is one over infinity. I meant one over omega. Since okega is a proper way to denote infinite amount as a value
@manicmath35573 жыл бұрын
Dont do a drinking game for evert time i say 0 or you will definitely die of alchohol poisoning.
@sardineman89943 жыл бұрын
Cos(x) best girl
@LeBrokenAnkle3 жыл бұрын
That’s wild 🤯
@manicmath35573 жыл бұрын
Man i was gonna trt the trick on you welp
@LeBrokenAnkle3 жыл бұрын
@@manicmath3557 well good thing i watched this video 😂
@manicmath35573 жыл бұрын
@@LeBrokenAnkle alr dont tell khy
@Joshua-qm1hc3 жыл бұрын
nice 👍
@manicmath35573 жыл бұрын
Thank you
@manicmath35573 жыл бұрын
I aint cool enough ti uae DnD dice. All i used was monopoly dice 😆
@manicmath35573 жыл бұрын
There are more torgotten functions. But i feel the chord function along side sine cosine and tangent are MAIN functions. By definition they make complete sides of a triangle. However other functions like secant versine extsecant and other fynctions arent aMain functions to me. Since they arent full lengths if a triangle. But they are still showing the relationships between an angle and length so thetre technucally trig functions. I just see then as pseudo follow ups to the main one
@manicmath35573 жыл бұрын
At a point i said egyptian instead of indian. Got my cultures mixed up
@manicmath35573 жыл бұрын
When i say delta i meant signa. Heck i am now as inconsistent as functions
@manicmath35573 жыл бұрын
Dang that artistic table looks like capital pi
@manicmath35573 жыл бұрын
I said it as Sistributative property. Its actually Distributive. Theres no ta So i said it wrong woops
@goldminorguy3 жыл бұрын
hehe nice
@manicmath35573 жыл бұрын
Thanks winston!
@manicmath35573 жыл бұрын
I will soon make a olaylist for all the proofs of the oythagorean theorem. Yes all of em. Found a book that has all known proofs
@DesertBlaster3 жыл бұрын
the egg is the most common type of edible child
@manicmath35573 жыл бұрын
Goodness gracious my man
@manicmath35573 жыл бұрын
I don’t know why every l,video in which I talk i sound like I have a lisp.
@LeBrokenAnkle3 жыл бұрын
👍😎👍
@manicmath35573 жыл бұрын
Apoloyies for the length. And weird presentation. This involves moving geometry so animation is more appropriate. Trying to learn that on python.
@Ashutoshlakra3 жыл бұрын
💯 for adding the proof too!
@manicmath35573 жыл бұрын
Thanks! Hope you enjoyed it.
@LeBrokenAnkle3 жыл бұрын
Nice! This is really really helpful :)
@manicmath35573 жыл бұрын
Hello. Thank you stranger, i do not know you but thank you. Hmm…
@LeBrokenAnkle3 жыл бұрын
@@manicmath3557 😂
@CaptchaSamurai3 жыл бұрын
Feedback: I really like your energy: you clearly like the topic and I can feel it. Your style (dirty blackboard) is super cool, a little bit badass :D. However, I find the presentation chaotic/unclear. Some mathy ideas fit well to the blackboard, but here we are dealing with movement and gifs one can find on the web would be better to convey your knowledge. Keep it going!
@manicmath35573 жыл бұрын
Thanks so much for the feedbqck! I understand the chaotic part. I have been thinking on writing scripts more to save time and rambling. Also i have wanted to try animation since the math and visual geometry require some manipulation of movement. Feel like it would he more fluid like that Thanks so much and have a great day