Singularities Explained | Infinite Series

[@MaxMcAdams]

"HELLO MATT THIS IS VERY A NICE ROOM" "YES KELSEY IT IS GOOD TO BE IN THE SAME ROOM TOGETHER"

[@kaysengriffin6522]

i dont mean to be so off topic but does anyone know a trick to log back into an Instagram account..? I was dumb lost the password. I love any tricks you can offer me

[@azdgariarada]

Kelsey and Matt sittin' in a tree, discussing sing-u-lar-i-ties!

[@sMASHsound]

and both of them dumbfound me... lol i swear, when that girl starts to speak on this show, i see encylopedias coming out....

[@PersimmonHurmo]

I love how they put space time soundtrack when Matt entered!

[@peaceistherealmuscle]

Wow, this channel has only been around for less than 6 months, and I'm already in love with it. You're doing fantastic work, Kelsey. Keep it up!

[@keithdemars1953]

The description or definition of singularity through the time zones on equator advancing to the North Pole was great for engaging others that have never given it a thought. So far I have 2 blown minds when describing.

[@KarnKaul]

Matt and Kelsey together is just epic! My contribution towards natural infinities: a string on being plucked vibrates with all - a "singularity" - of its harmonics, it's just that the fundamental frequency has the greatest amplitude, and hence is dominant over all the others. This is also why the top-end notes on any stringed instrument sound really tinny and much less "full" than open strings: there's very little audible resonance. - Source: nerd who plays guitar.

[@Pfhorrest]

Wow, the doomsday equation predicts infinite population on a Friday the 13th? Why do I suspect that the math didn't just happen to work out that way...

[@pbsinfiniteseries]

Yeah. Apparently it's also the birthday of the guy who invented the equation, so... questionable... In mathematical modeling, one makes so many choices for variables/rates/etc.

[@MalcolmCooks]

my favourite part was when matt used his spacetime powers to astral project into the studjo

[@linguaphilly]

I love how the camerawork/editing at 4:10 somehow implies that Matt's been awkwardly standing there for that whole time

[@richchrono7693]

I love math, and it's so refreshing to hear an explanation of mathematics containing the vastly underutilized term "schmooshed". Absolutely perfect application here; clear and concise. Kelsey rocks!

[@jacobhelbig6967]

To the thing with dividing by zero: I saw a Numberphile Video about that topic, where the process of dividing was explained: You take the first value and subtract the second one, until the result reaches zero. If the second value equals zero, you would have to subtract it an unending/infinite amount of times, until the result reaches zero.

[@zairaner1489]

You mean you saw ONE way of explaining it?

[@sapiense-science-cerveau]

Numberphile is an amazing math channel, and that video too. But still, for the division by zero, I'll stick to the graphical (and mode intuitive) explaination. The graph of y=1/x shows well the absurdity : right at zero, y would have be equal to both +inf (coming from the righ) AND -inf (from the left)... that would mean either the two are equals, either a number can be another one, and neither are true. Alternative intuitive explaination : y=inf for x= (1/inf), witch is infinitely close, but not equal, to zero.

[@fessniff8187]

I thought she was gonna bring out Stephen Hawking

[@billclinton4913]

She missed the chance.

[@pierfrancescopeperoni]

I thought Roger Penrose.

[@hulaanmo2132]

LOL SAME

[@dreamingpixles]

Was referred here by Space Time and I already like this channel :)

[@ChristieNel]

The cuter a cat gets, the crazier people get. So what happens when you have an infinitely cute cat? Does it break the internet?

[@othmantayach9449]

Christie Nel no but your brain can no longer comprehend or resist the unlimited cuteness of the cat

[@FlankyFrankie]

Yes.

[@scramblingbalam]

No because it's not cat cuteness but "cat cuteness entropy" (or CCE) and as cat cuteness increases the we re-normalize based on expected cuteness, which increases at the same rate, so the internet doesn't blow up

[@mizbaibnbasher6269]

It breaks universe

[@EvolBob1]

Infinite cuteness doesn't reside with cats. It is here: kzbin.info/www/bejne/iXzFmX6Qd8l0jck Warning - You may not be able to handle this level of cuteness.

[@refusedstone7710]

a mirrored mirror?? or infinite mirror? (please don't be harsh.. i know I'm probably way off as it is a visual representation and not physical) just trying to work my brain a little... When you can't even afford Community College on loans, and thirst for knowledge these videos are EVERYTHING. THANK YOU.

[@SashyGryphyth]

Asking questions is simply an intelligent thing to do. Enjoying it is a downright blessing.

[@TheMasonX23]

Great video, I'm loving this new channel! :) One request would be for you to cover Fourier transforms, as I occasionally use them (and find them fascinating theoretically), but only partially understand them. Being self taught, I often rely on KZbin as a substitute for formal education haha. You weren't kidding about interacting with these on a daily basis. I'm a programmer for The Universim, and we have spherical planets (roughly 300m diameter), and they cause all sorts of issues, often due to projecting rectangular coordinate systems (which many algorithms require) onto the sphere. This amounts to "squaring the circle", which even the Greeks proved to be impossible. The polar singularities and "international date line" discontinuities in particular have given me a lot of grief when I had to implement a "Time of Day" display that gave the 24 hour/AM PM time at the players' position. There were a lot of complaints about the time "jumping" when near these areas, which I tried to explain to my boss were "correct" in that our own time system, which I was trying to emulate, also has them. I think a more elegant solution would be to use the dot product(sunDir, position.normalized) to display the "amount" of day, with 1 at noon, 0 at sunset/sunrise, and -1 at midnight, but the problem is that this lacks "AM/PM" data. Oh well, another challenge, I guess as a programmer/practical mathematician this is kind of what I live for haha :P

[@tranl1050]

4:15 he looks done

[@ivan98VCF]

hahahahahaha

[@rossthebesiegebuilder3563]

Yeah, I'm used to seeing him deliver complex physics lectures, so it was strange to watch him stand perfectly still with his mouth hanging open like he's totally out of it.

[@MihailMahov]

I don't understand even a word of this, but She is extremely beautiful ! It's a pleasure just to watch your enthusiasm and lovely smile, Kelsey .

[@mdmobashshir432]

The fact that no one can draw a circle in the physical world, ends this debate. What's good is still talking about perfect circles and spheres and weird and arbitrary shapes with just one's imagination is MATH, and that's why IT is lovable.

[@antipode3141592]

Infinite Series and Spacetime are my two favorite KZbin channels right now, and it's not close. So glad these math and physics concepts are being explored here!

[@yannicksobkowiak273]

There is a saying, that says you should tell a smart girl how beautiful she is, and a beautiful girl how smart she is Now i don't know which to comment.. **blushes** You are *gorgeous*!

[@lock_ray]

we have a singularity of desperate right here

[@mushroomsamba82]

infinite thirst

[@Qman621]

**cringes**

[@quarkyquasar893]

Replies are just the best. xD Plus sorry to tell you mate but she might not even see this comment.

[@yannicksobkowiak273]

sorry for complimenting...

[@ericb9931]

Discovering this channel as well as Space Time has been great... I'm 27, graduated HS with a 1.4GPA, dropped out of community college... now I study Physics and Philosophy for fun, since History and Politics have become child's play... I never thought I'd have a thirst for knowledge

[@iheartlreoy8134]

A guitar string. You strum it and it rings but as it continues to ring it appears to ring faster until it is still like a sin graph that has an increasingly small period over time.

[@davidwuhrer6704]

Not really. That string is like a pendulum, and while it will never come to rest even as its amplitude approaches 0, its frequency remains constant. If it didn't, playing the guitar would be very different.

[@katrinal353]

Well, that only happens until the waves synchronize, therefore amplitude peaks of the combined wave become more visible.

[@eduardolopes243]

Look for the Euler Disk in YT... it's worth it.

[@Quantiad]

Don't ever, EVER, replace Kelsey with Matt again; not even for a moment.

[@chulupytheone]

There are some infinities that are in the math and help us get real physical quantities, for example a derivative of a path over time it tends to 0/0 or infinity/ infinity, but it gets a real finite number. Another example is when you solve differential equations, by applying Fourier transformations you can see the equation as a polynome in a complex plane, e.g. a*d''x/dt + b*d'x/dt + cx = d -> a *p^2 + b*p + c = D. In order to go back to the real variables, we need to take a contour integral of D divided by this polynome, which goes to infinity at its roots, or so called poles. We need to integrate by a contour that surrounds these singularities, carefully avoiding them, but the answer of that integral is the residue of that function or the limit of that function when the point approaches the singularity! i.e. Res (f(z)) at pj = Lim z-> pj of (z-pj)f(z) Check en.wikipedia.org/wiki/Residue_theorem en.wikipedia.org/wiki/Residue_(complex_analysis) It would be great to have a video on the way these singularities are needed to get real answers in the physical world.

[@CyanKash]

It's very inspiring to see such intelligent and invested people who are also young. Thanks PBS!

[@YuzuruA]

In a programa about mathematics and physics, it lacked chemistry...

[@aaronsmith5864]

Paul King its a play on words m8 it was supposed to be funny.

[@g7924]

nice

[@ArgoIo]

You mean applied physics, Paul.

[@nadzianyx]

Same thing, Lorenz. When paint is applied to a wall, you use only as much as you need :P

[@ArgoIo]

Ever heard of Theoretical Chemistry?

[@unclerick1568]

The writers for PBS do a great job of being simple and complex at the same time.

[@meatrace]

This channel is amazing!

[@ScaricoOleoso]

Back in the Navy we each had what we called a happiness factor: days in divided by days left. One's last day in the service was a happiness singularity. :)

[@keithlauderjr1691]

SHORT!😋

[@JM-us3fr]

No mention of the residue theorem? Oh well, one step at a time

[@Rubbergnome]

Man, I love that theorem. Damn. So beautiful.

[@pbsinfiniteseries]

It's true, the residue theorem is pretty spectacular. We'll get there... :)

[@danielsoltesz8523]

Well, that's pretty hardcore stuff, so I'd be more surprised if it would be mentioned. Although I have to admit, even as a discrete mathematician, that one of my favorite theorems is the Cauchy integral formula. (From which the residue theorem can be easily derived.) It would be very nice to have a whole video about it.

[@Rubbergnome]

PBS Infinite Series I forgot you guys actually respond to comments. Cheers for the amazing channel(s), I am a huge fan!

[@abstractapproach634]

QED love the name! I waited two years too get my linear algebra teacher to tell me what it meant.

[@umenjaplooona]

found this Channel only yesterday and simply had to binge watch it all, awesome for US math Nerds, love it!:D

[@ophello]

Those two were definitely not in the same shoot together.

[@Neonvarun]

Well they were

[@Neonvarun]

THEY BOTH WERE IN EACHOTHERS VIDEOS.

[@abc3631]

Love how she articulates. I could hear her all day

[@Itisjustasaganow]

she is very smart and beautiful 😄😍

[@georgekostas3324]

Thank you, I'm flattered.

[@BRAINROTTDAVE]

no ring on that finner, I'm kinda dumb & opposites attract.

[@vlad-pm2zr]

and funny

[@eval_is_evil]

Brad Trevenen I know right ?

[@BabelRedeemed]

This is my favorite of this channel so far. Thanks!

[@AliHSyed]

this is like when the Teenage Mutant Ninja Turtles showed up on Power Rangers...

[@LC-yo3bj]

hahahhahahaha

[@withinmyself]

What? That never happened.. Did it?

[@marissajustice2411]

this comment is kind of perfect.

[@calencor]

it did look for it

[@zephirol4638]

Evan Deubner: yup was a 1 off thing Goldar is getting shit on so he leaves Rita, Beebop finds Goldar and recruits him into shredders gang and splinter finds out so he recruits the Rangers through his old friend and fighting Rival Zordon.

[@ronaldderooij1774]

She has charisma and math talent, no doubt. Very well presented.

7:00 "pretty fast walker" Yes, with a rocket booster strapped to my back! I would need to walk 1670 kilometers per hour, 464 meters per second!

[@connorconnor2421]

r/theydidthemath

@@connorconnor2421 Not too surprising on this channel probably.

[@beckettman42]

Love both of these series and presenters. I hope their funding is not cut off.

[@whatthefunction9140]

Their baby would have great hair.

[@skatertrevor89]

Don't know why, but this made me laugh out loud :)

[@feynstein1004]

She's already married tho.

[@jhonnybravo894]

LOL

[@feynstein1004]

Jnan Mckenzie Social protocol suggests otherwise but okay

[@feynstein1004]

ㅤㅤㅤㅤㅤㅤ Lmao so edgy

[@CallMeTess]

n/0 actually approaches both infinity *AND* negative infinity. Approaching zero from the negative side of the number line gives you exponentially *lower* numbers.

[@ConnorMooneyhan1]

PBSception

[@Doping1234]

Singularities: Capacitance of a plate capacitor for plate distance -> 0, specific heat in a phase transition of first order (freezing, boiling), and if I'm not mistaken there's a solution for the velocity profile of fluids in a circular pipe with friction which has a singularity

[@tianchenzheng7464]

I just saw two videos about singularity uploaded at the same time lol.

[@AJourneyIntoPhysics]

Awesome video!!!! We finally understood what is ewxactly is a singularity both in math and physics...!!! I am definatelly going to steal this idea in my channel!!!!!!

[@erikziak1249]

The 1/x is nice, but you can approach 0 from both sides. So infinity and negative infinity are both a possible answer. Even with 1/x^2, which should be always positive in the "one-dimensional standard" mathematics, you have the same problem when introducing complex numbers with "imaginary" (I really hate this naming) units. What if we need to define a new "flavor" of infinities? I do not mean new cardinality or aleph number. Something completely new, a concept not yet existing. Some "symmetrical" infinity in two, three, more space dimensions, all the way to as many as many you need for your favorite interpretation of QM or string theory or whatever. Can there be anything more than the "i" unit? For the next "dimension" perhaps? I apologize if my questions are stupid. I am no mathematician.

[@kazedcat]

yes there is in higher dimensions. In quaternions you have i^2 = j^2 = k^2 = ijk = -1. i j and k are all different unit.

[@erikziak1249]

Philip Glenn de Catalina Thank you. I have too little knowledge to write anything useful. I will try not post in the future on this channel.

[@R.Instro]

+Philip Glenn de Catalina ... Aaaaaand now I can't get Acapella Science out of my head. "William Rowan Hamilton... My name is William Rowan Hamilton... & no one uses my quaternions, but just you wait... just you wait...."

[@rmsgrey]

In some flavours of geometry, you have a point at infinity (some also have a line at infinity) which lies at both ends of every straight line, so is kinda both positive and negative

[@eval_is_evil]

Philip Glenn de Catalina wow that's awesome

[@anuzis]

Excellent explanation with intuitive examples. Thanks for putting this together.

[@doit9854]

If computers could divide by zero & know to not accept more variables then there are defined elements in a set then it wouldn't be infinitely hard to protect computer systems. #segfault #bufferoverflow #cybersingularity

[@crienospmoht]

I admire all your videos very much, and I'm glad to see PBS doing so well. Quick tip, NEVER repeat the corny intro you did with Matt @ 4:15. That said I've watched quite a bit of this channel, and that's my only criticism, the rest is really good.

[@Jopie65]

With superconductivity, electrical resistance is exactly zero. Conductivity is 1/resistance, soooo...... 😄

[@danieljensen2626]

Johan 't Hart It's an approximation. Real super conductors don't actually have zero resistance or infinite conductivity, they just act a lot more like they do than most objects.

[@luisvasconcellos4549]

This channel is incredible, keep up with the good work! And more videos on the connections between math and the real world, specially the weird ones like complex numbers in geometry/cosmology, would be really cool as well.

[@PcGameGold]

10 minutes and 22 seconds of telling me how dumb I am!

[@asthmen]

Two simultaneous videos about singularities by PBS Spacetime and PBS Infinite Series, respectively ? I am fully on board with this.

[@lucidmoses]

Just out of curiosity. Does anyone know of something in reality that really is Infinite and not just a really a really really big number? Not the speculative like the Universe size and black holes. and not imaginary like going around a circle forever. I think it likely that infinite is just a man made concept that doesn't actually exist.

[@MalaPuzta]

time? does it work to you?

[@lucidmoses]

***** May I offer that in your example you may end up running into the planck length.

[@lucidmoses]

MalaPuzta That defiantly falls into the speculative camp. In fact, does the heat death of the universe end time?

[@EpicFishStudio]

I don't think there are others but number of digits of transcendental numbers in any number system

[@DrGerbils]

There are infinitely many locations between any two locations in space. Zeno's paradoxes arise from the fact that space is infinitely divisible.

[@empireempire3545]

I just wanted to say that You're doing a great job with the whole "Infinite Series" series... can i refer to it as IS^2? Me and my girlfriend love it very much! Keep it going!

[@sankeerthsarvade5486]

have a nic day to random scrolling guy;p

[@Timmyval123]

Sänkeérth Sarvade Thanks ! You too !

[@Quacky_Batak]

two of my favorite channels in one video @Space Time

[@donaldhobson8873]

The speed of the tip of a cracking whip goes to infinity without friction.

[@justunderreality]

One could argue that the 3 dimensions would allow the "wind ripple" to escape the infinite vortex. But your right... things like this or sonic booms get very close to describing an actual infinity.

[@pietrocelano23]

technically it goes to c, but that's the point

[@humangs]

It most certainly does not. First of all, because of special relativity, nothing material can ever surpass c. Also accelerating a finite mass to c requires infinite energy, so this could only work if the whip was a continuous medium, and just an infinitesimal point (with an infinitesimal mass) at the tip reached c. But we know that matter is not a continuous medium, but rather it's made of finite (and massive) point particles, none of which can ever reach c. So your statement is only true for a non-relativistic continuus approximation, and the fact that it predicts an infinite velocity proves that the approximation is clearly not working.

[@TheFunkyKettle]

Nope

[@NikolaosSkordilis]

No it doesn't.

[@sueanoimm]

You are amazing and i love your presentation. You look great, easy to listen to and understand even by a ESL speaker like me. And i love watching your hand gestures.

[@markholm7050]

When (if?)Ms Houston-Edwards does her PhD thesis, think about one or more videos surrounding her oral defense, and then, of course, her graduation.

[@sabinareefing5119]

One singularity is when the shunt field current on a DC motor approaches 0adc and the motor is rotating. Torque approaches 0, speed approaches x/0, and current will attempt to approach x/0. Never reaches it the fuse always blows but the math is there.

[@gilbertogarza9114]

smart and hot she's a keeper.

[@92587wayne]

I can give you a visual example of an Infinite Singularity. Take 8 mirrors and form an octagon with the reflective side to the inside. Place a mark on one of the mirrors. The mirrors being a close system, look at the series of dots from outside and you will see a series of dots in one of the mirror, with the reflected dots becoming smaller and smaller to the point that the dots are no long visible in the mirror.

[@abdalrahman6618]

Super hair style.....😤

[@mikecase2372]

A great example of a mathematical singularity leading to a breakthrough in physics is the 'ultraviolet catastrophe'. The mathematics described infinite energy being radiated from a black body in the short end of the electromagnetic spectrum. The singularity disappears if an additional condition is applied to the problem -- Max Planck's hypothesis that energy can be only transmitted in discreet values.

[@visinedrip]

Question: Why are you infinitely cute? :D

[@williamlanghoff4424]

I still remember the first time I heard a professor say something "blows up in finite time," I thought the phrasing was funny. The 'resonance catastrophe' is a great example with a lot of important applications in engineering.

[@charlesjackson5291]

I am very impressed with this show. Thanks for the content. I have one quick suggestion; I would suggest that Kelsey fidget her hands a little less though. The content is interesting and enjoyable and Kelsey is well spoken and knowledgeable. keep it up!

[@touisbetterthanpi]

I would like it if you explored some more of the mathematical singularities. I think that could be really interesting :D

[@Gulpy3]

A singularity occurs when an outside object takes the place of the reference object. So In the North Pole example, once you reach the exact north pole (assuming this is actually possible), you become the North Pole because you took over the reference point, thus any equation using the old reference point becomes infinite because you're measuring from itself.

[@thisaccountisdead9060]

A Sorites Paradox can only be solved by crying - but the tears of laughter of a person near a black hole sound like tears of sadness to an observer away from a black hole due to the gravitational warping of time and space slowing down their laughter.

[@quarkyquasar893]

4:15 Matt pops up, his face is like damn, I hope she won't kill me with maths, I am too bored standing here all alone...

[@dogdaychess]

I bought a new car recently, and it shows you the current rate of fuel consumption (amount of fuel used per unit of distance) in real-time by displaying a bar on the dashboard display. The bar gets longer as your rate of fuel consumption increases. I noticed that when I slow down and stop at an intersection, the bar grows longer until it goes off the chart, and then disappears. It seemed counter-intuitive to me, since I'm not applying gas while I stop, but then I realized that as you slow down, your rate of fuel consumption (measured in litres per 100 km, for example) will tend to infinity, and when you stop, it becomes undefined. After all, when you are stopped, your car is still idling and consuming fuel. At a stop light, you will consume some amount of fuel to travel 0 distance, so your L/100km becomes infinity. Another example of everyday singularities!

[@MikeRosoftJH]

The classical example of infinity in physics was the ultraviolet catastrophe, where the theory predicted that energy radiated by an object at a particular wavelength was increasing as the wavelength becomes smaller; this a) didn't match the actual observation, and b) implied that the total amount of radiated energy was infinite. (The problem was resolved using quantum physics.)

[@JohnL90808]

I think another example of a singularity is when you close in two mirrors together approaching 0 degrees. The reflected image will multiply approaching infinity as you close the mirrors.

[@PhilipAndresen]

Another good singularity is actually from the Mercator projection of the earth. Specifically near the southern pole, antarctica blows up to be way larger than it should be, with the whole width of the very bottom of the map representing a single point on the earth's surface.

[@philp4684]

If the pun at 1:08 is deliberate, then my hat's off to you. It's very subtle.

[@mwill110]

I think it's worth clarifying out that the singularity in the north pole example is a "coordinate singularity". It results from the choice of coordinates and will go away if you use a different coordinate system, like if you were to use something other than latitude and longitude to describe points on the earth. The issue also comes up in black hole physics. The Swarzschild solution to a non-rotating black hole also has one of these coordinate singularities at some finite radius in addition to the real singularity at the center. people.bu.edu/pbokulic/blackholes/

[@tesseraph]

Zeno's Paradox is a singularity of sorts: the number of steps you'd need to move a fixed, finite distance tends toward infinity the closer you get to your original limit. Ex. If Zeno's trying to move 1 meter by moving half of the remaining distance each step, after each step it would take him more steps than before to move, say, 10 cm, until it's eventually infinite.

[@ulmeydasmile]

Aaaagh. After 10 seconds into one of your videos my brain starts to hurt from all the gestures. How can you sustain that many gestures per word over prolonged periods of time? I cannot not watch it and have my thoughts chasing each other about what it all means. Are you trying to tell me something? Are you secretly calling for help? Should I call the cops? Anywho, good stuffz. Thanks you for it

[@mannybobby7838]

Andre Ulmeyda you know most of these videos are edited. They seemed as if she doesn't take a break, but usually they do many takes or parts. Maybe focus more on her voice instead of her

[@quarkyquasar893]

"Are you secretly calling for help? Should I call the cops?" I am laughing from 15 minutes due to these 2 questions.

[@eval_is_evil]

Andre Ulmeyda you need to not be distracted by that, focus your mind :)

[@theutopianoutopioan464]

In almost all contexts, the word " singularity " basically means something that can't go any further, For example, a black hole's singularity is an object where density can't go higher, thus a gravitational singularity is the densest thing possible. The only type of singularity i can think of without the ' can't get any higher\ further ' characteristic, is a potential ' technological ' singularity, which I see more as an event horizon than an actual singularity

[@BrianSmith-jl8qn]

Episode Request: Please explore & explain how mathematicians have overcome singularities with creative and beautiful ideas, e.g. Complex Analysis

[@rer9287]

Math is just a language of logic. The result is, when a model in physics implies a singularity it can only mean the model is broken before it reaches that point. There is no room for confusion.

[@DanielFenandes]

Your hand gestures are mesmerizing

[@5eurosenelsuelo]

Great video and great collaboration

[@defeatSpace]

Someone should make a version of timekeeping that directly relates to the position of the sun in the sky at any given coordinate.

[@williamdeschamps4032]

I wish she was my math tutor or teacher in school, she has a great mind and easy way of explaining the complex.

[@Dominoes0]

I keep expecting Kelsey to break down into a rap to that infinitely-sick beat!

[@bxb77777]

why are you verified?

[@kishananuraag]

*how r u verified?

[@ralphinoful]

I think it's good to point out that there's a "weird" way to show that the sum of all natural numbers is -(1/12), even though it's a divergent sum. But physics uses this number to explain things (I'm not sure what), and using analytic continuation on the zeta function, at z(-1), you get -(1/12).

[@yourfellowcommuter2598]

Space Time brought me here. Liked the video on singularities. Think I'll go find out what a Markov chain is!

[@kevaljoshi4419]

one more application of mathematical singularity is in electronic oscillator circuit total gain of a feedback amplifier is given byG= A/1-AB where A is the gain of amp and B is the gain of feedback path for sustain oscillation we chose AB=1 so our G goes infinity and we get sustain oscillation

[@davidwilkie9551]

So my personal choice henceforth, is to declare timeing => math => physics => chem and everything else "clocked" in universal time, because the process described here-now of approaching infinity is eternal in nature, and the concept of the singularity is directly equivalent to the actuality of the local and distributed reciprocal, observable timespace vanishing point. It's all temporal imaging. (IMO-wording)

[@lorddiaboboss]

Very enjoyable, love the team work!

[@richardprogressive1305]

Wow. Very nice vid. It opened my eyes to infinity in maths in a realistic way

[@rkpetry]

Most scholars do not understand Einstein's theories well enough to explain them but they'll explain his equations and marvel at the imaginary results-for example: if time stops at the Schwarzschild radius then mass vanishes there because mass-energy is always in motion; Einstein didn't like it but LIGO confirms 1 - 0.954³³ of a black hole mass is outside, its hole.

[@nicodell6192]

Singularity Example: The Euler singularity when calculating the time derivative of world fixed position from body fixed velocities using a kinematic transformation, which can be overcome by working directly with a rotation matrix instead of the RPY angles themselves or using quaternions.

[@ScienceMaths2012]

A daily example of a finite time singularity is the way that a coin spins and comes to rest, known as the Euler disk, and btw the full mechanism is still unsolved.

[@ismireghal68]

As someone who has math in school but not physics(at least on that level)thank you for showing me applications to singularities.

[@KrisCadwell]

As anonymity approaches infinity, the resistance to directly expressing desires approaches zero.