Thank you all for making this such an amazing experience! Y'all are awesome! Send me all your fun math things (especially if they're about the heat equation) on Twitter at @kelseyahe. I'm excited to join you all in the comment section here, and see what wild and beautiful mathematics Tai and Gabe are going to show us. -- Kelsey

@GustavoValdiviesso

6 жыл бұрын

Hi Gabe! Glad to see you back! Your fans missed you.

@jjc327

6 жыл бұрын

Nooooooooooooo! You will be sorely missed.

@jacobkluza9047

6 жыл бұрын

PBS Infinite Series thaks for all your effort and time !

@TheEVEInspiration

6 жыл бұрын

Goog luck and make great things happen!

6 жыл бұрын

What is your dissertation about specifically?

"Before I say goodbye to you all" *_Never says goodbye_*

@JustForComments666

6 жыл бұрын

What Inferno Cop said plus why would you care about the adoration of other people? That's sad

@alihesham8167

3 жыл бұрын

never gonna say goodbye never gonna tell a lie and hurt you a rickroll

Gabe!

@y__h

6 жыл бұрын

Glad to see you too back again!

@bridgetown1966

6 жыл бұрын

yeah. love that dude.

@TheJaredtheJaredlong

6 жыл бұрын

I always wonder what happened to him after space time.

@racpa5

6 жыл бұрын

I thought he was the Jon Stewart of the physics world.

@GREENSP0RE

6 жыл бұрын

He's back!

Good luck with the research :-)

I will miss you . You were an AMAZING host!

Thanks, Kelsey! Best of luck on your dissertation. I hope to eventually see videos from Dr. Houston-Edwards! The Heat Equation has many applications outside thermodynamics. In electronics, for example, the charge distribution on a sheet of graphite. I'd also like to hear more about the equivalent discrete version, for example, the voltage applied to a grid of resistors. Welcome back Gabe, and hello Tai-Danae! Can't wait to see what you share with us!

@pbsinfiniteseries

6 жыл бұрын

Thanks BobC! Since the beginning, you've been so involved in the channel's community. I've really appreciated your thoughtful comments. -- Kelsey

Sad to see kelsey go, but gabe's good i liked him on spacetime

@beepinlim8270

6 жыл бұрын

Me 2

@vrnvorona

6 жыл бұрын

I didn't though, matt is much better. kelsey is coool, but sad she is gone.

@enterprisesoftwarearchitect

6 жыл бұрын

Yeah - he said he was going to the Nation Science Foundation, I thought. He made PBS SpaceTime what it is - got right to the heart of the matter quickly ... not an hour-long hype-filled documentary. Matt is great, but more fluff than Gabe. Kelsey never told us about her tattoo, did she?

@dumdum93

6 жыл бұрын

I don't hate Matt but his presentations are boring IMO, Gabe's episodes back in Space Time are much more exciting.

Best of luck with your dissertation.

GABE!! Man I missed you. It is crazy how the first PBS video I watched was your last. I'm so glad you are back.

@IanFarias00

6 жыл бұрын

Words cannot describe my happiness when I saw Gabe! Although I'm a mathematician, PBS Space Time is my favorite show of all time ^^

@pronounjow

6 жыл бұрын

@Sam Knob Get your ears cleaned out.

@ratlinggull2223

6 жыл бұрын

Sam Knob KZread has the speed setting

@MC-mx1mt

6 жыл бұрын

Sam Knob i like how he speaks fast. Makes me wanna rewatch and rethink about the stuff he talked. And when i understands it, it's very satisfying.

@MC-mx1mt

6 жыл бұрын

Sam Knob everyone's preference is different, no one is blaming you for not liking Gabe...I just stated why I like Gabe more than Matt...because he makes things more interesting to watch...for me anyways.

You'll be missed. Good luck with your work!

NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

@mrraven7445

6 жыл бұрын

I'm gonna have to wait a day or two to watch this I'm genuinely sad.

@igoronline

6 жыл бұрын

OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

@TomeAM

6 жыл бұрын

you sir just won the internet

@AI-mu8he

6 жыл бұрын

you don't know what you have till it is gone

@spamtongspamton9900

4 жыл бұрын

how did he win the Nobel prize

Thank you for all of the amazing videos!

Good luck, I wish you the best! We'll miss you!

This will be.... Hard. We won't forget you, ever. Hope to hear from you soon.

Thank you for your wonderful work on Infinite Series, Kelsey! Your personable comment sections at the end of each video in particular will be missed. You've made this show feel like an intimate get-together where we share the wonderful world of mathematics with each other. I wish you the best with your dissertation!

@ProfessorPolitics

6 жыл бұрын

It was especially nice coming in here as someone who isn't a mathematician but who loves and appreciates mathematics. Her explanations would make things intuitive in a way that I could get and that I could get even more out of once I re-watched them after having learned more.

We'll miss you! Great run!

Congratulations on your future! Your work really helped to launch the show.

I hope the new hosts watch most or all of the old episodes, to see how to do things right. For me I found this series to be a perfect balance of starting with the basics but not dumbing things down. I felt neither confused nor felt like my time was wasted

@noelkahn4212

6 жыл бұрын

I agree, who knows what we'll do without her.

Thank you for the time you put into these! Best of luck with your dissertation!

PBS Infinite SpaceTime Series.

We hope u come back someday.. Good luck with your dissertation!!!

Best of luck on your dissertation!

Thanks for taking the time to make these videos, they've been excellent!

Happy to see Gabe is back, loved his fast talking videos.Makes you always wonder how many lines he just had before the show.

Calculus would been better to explain heat equation Good luck to your research You have been a wonderful host

Good luck with your dissertation! Thank you soo much for starting this channel! Glad to see Gabe back!!! Can't wait for the new episodes!!!

That video came right in time for me! I'm currently studing Fourier series as a solution to the heat equation! Nice explanation! Thank you very much for hosting this show, I hope that all go well with your dissertation and that maybe you could come back in the future! Live long and prosper!

Sorry to see you go. You were a great host! Thanks for sharing knowledge so well!

Please don't go! We love you.

Thank you for launching this series and for being an awesome host!

Thank you very much Kelesy, for getting this program going! I'm proud to be a supporter of it! Looking forward to learning more in the future and very happy to seeing the inclusion of physics to it. Very best wishes on your paper, hope I get a chance to see it some time in the future.

I hate when mathematicians use delta instead of nabla squared, you don't distinguish the laplacian from the diference that way :c

@ProfessorPolitics

6 жыл бұрын

I was a bit confused looking at it initially as a non-mathematician and non-physicist. I was like "where's the limit notation. Don't you need it on the left to make it work?" One of those things where it'd be nice if things were standardized across fields, I guess.

@__gavin__

6 жыл бұрын

Mathematicians wouldn't use a large delta to denote a difference though, at least not in the same context where we would be talking about laplacians. A little delta, a d or even a more explicit notation of the difference (eg. |x_1 - x_2| ) would be more applicable.

@seanehle8323

6 жыл бұрын

In physics, the lowercase delta is an infinitesimal change, whereas a capitol delta is a finite difference. I.e. the lowercase is the limit of the uppercase as it goes to 0 [units].

@EAdano77

6 жыл бұрын

In Riemannian geometry, nabla squared is actually something different from the Laplacian; technically, nabla squared is even misleading in the flat context of Rn since you are really taking the divergence of the gradient, not applying the gradient twice. So mathematicians generally take nabla squared to mean taking the gradient twice, which gives you the Hessian. We use delta to represent the trace of the Hessian, i.e. the Laplacian. I agree that the delta notation is unfortunate (it's far overused in different contexts, and in fact in spin geometry gets kind of annoying), but nabla squared is not really a better option. Then again, I like the delta more than the giant box used for the d'Alembertian operator in physics.

@jeffpeterson640

6 жыл бұрын

I think most mathematicians hate the nabla^2 notation because it is misleading as to how the Laplacian is constructed. The capital Delta symbol though hints at its function, which as Kelsey explained, is to compare the value at a point with those surrounding it on average, i.e. a change. The mathematicians I know prefer to write the Laplacian in its expanded form which is div(grad(...)) which better identifies its purpose and construction.

Please come back after your dissertation

Thank you for all of your amazing work. It’s been an awesome ride! Best of luck on your research. I’m excited to see where the new writers will take the show. They have a legacy to uphold!

You do you, Kelsey. Thanks for taking us along in this great series!

I hate to see you go but the dissertation, comes first. Go forth and Prove!

Aaah Gabe is back!

Thank you for all these episodes ! I hope your research goes well ! :)

Thank you Kelsey for all your hard work on this channel! It is very much appreciated.

Hopefully, you will come back Kelsey and make beautiful videos together with Tai and Gabe.

Ok. I will miss you, I almost cry until I hear that it was about your dissertation. You will do great. You should have taken a sabbatical ;) Jokes aside, thanks for your dedication.

Gabe's back? Whoa. He should totally do cameos on Space Time. For old times' sake. :)

Good luck with your dissertation, and good luck to the new hosts. So glad this series is continuing on :)

Good luck on your dissertation! Writting the Dissertation is the moment when all the ideas come together and you find that by end the end of writting process you'll be more knowledgeable on your topic than at the beginning. Just writting organize ideas in a weird way.

My screen thanks you for not burning it Sad to be gone tho

Thanks for starting this awesome PBS series and the best wishes for your next project, from us all :)

Thank you for all of the amazing videos, and good luck in your research!

SAD! We love you

We'll miss you

Thank you for hosting this series!!! :D

Kelsey, it was so nice meeting you at the Joint Mathematics Meeting in Atlanta this past January. I'm very impressed (and grateful) that you managed to juggle being a PhD student and working on this outstanding youtube channel for so long! I totally understand your need to really focus now and finish your research. I do hope you return to making youtube educational content, as you have a real talent for it. Best of luck with the dissertation! Regarding the new hosts, I'm excited that we'll have a mathematician and a physicist involved on this channel, and look forward to seeing where things go from here. I'm hoping at least one of you are familiar with Geometric Algebra (GA) and its associated multivector calculus (a.k.a. Clifford analysis), and would perhaps consider making an episode on it. GA is some truly beautiful mathematics with a fascinating history. If you're interested, you can check out the GA crash course I made on my channel.

Oh shit it's Gabe

The heat equation is something I've done a lot of research on myself as well, mostly for numerical approximations in the realm of game design. It especially becomes interesting once you take into account other variables, but the idealised model is very interesting to start with, and surprisingly practical. However, one should take into account that typically we're dealing with a 4-dimensional problem, as heat diffuses within space. Additionally, there's numerical solutions involving particles, rather than (fixed) grids; Langrangian vs. Eulerian. That being said, do you personally work (a lot) with numerical solutions or are you only interested in non-numerical ones? Anyway, good luck with your dissertation.

I love this series ... please continue !

Thanks for making such an incredible show Kelsey! You started coming out with videos right as I took my first upper level math class, and I think these videos are part of what keeps me motivated to pursue a PhD. Thank you so much for all the incredible work and time you've put into this and good luck with your dissertation! We're all rooting for you here regardless of where you end up!

Yo Gabe is back. I love you Gabe. Now comes some beautiful stuff.

"Special Announcement!" "Must be good! :D" D:

Thank you for your work and for broadening my horizons ! You were a great writer and host!

It's been awesome! Good luck with your dissertation!

GABE IS BACK WOOOO Sad to see kelsey go tho.

Welcome back Gabe!

Thank you for the series. Good luck with your research!

I'm a highschooler who was looking for this video for a project requiring that an object stay at a constant temperature. Sometimes doing research on your own is so much more fun than learning from others!

heat equation???!!! *University "PTSD" intensifies*

@MagicGonads

6 жыл бұрын

PThd

NO! DON'TGO! :C

@khalidmadrane

6 жыл бұрын

Ruben mfbkdh de la semaine dernière à un moment de

@khalidmadrane

6 жыл бұрын

Msggfgfgfgfdbfffgug

What great episode! You really helped describe these equations in a very meaningful way (and I have a math degree)! Thanks and good luck

I love to hear Gabe talking, he reminds me of a teacher I had who was really intimidating. I used to shake really bad whenever I wanted to ask him something, but being such an amazing Physicist it totally worth it. Excellent video

I really enjoyed your videos. I knew that even if the title of the video didn't immediately interest me it would still be a good idea to watch it. Going to miss having you as host. It's nice to see Gabe again, I like the physics videos he did. I also got a good feeling about the new host :) I think we were left in good hands.

NOOOOOOOOOO! Translation: You have been fantastic; you will be missed here.

I have a PhD in Physics and I LOVE the way you explain this equation. With this reasoning it is easy to see why a solution of the heat equation can not oscillate in time. In this graph where the solution shows a "valley" and a "hill", at the moment that the values in the valley and the hill reach the equilibrium value, the solution stops evolving. Best luck with your dissertation! :-)

Good luck with your research! It was a fun ride, godspeed.

Yes, more physics in math! I cant wait to hear some cool theoretical physics stuff :D

You did a great job on this channel. Thank you!

Good Luck Kelsey! thank you for all the wonderful videos! a big welcome to the new hosts!

You're leaving big shoes to fill.

Gabe's back, HA!

@ArgoIo

6 жыл бұрын

He's back! :D

Thank you so much for your hard work! After graduating, you've taught me so much and kept me connected with my math roots

Thank you for your time, research, and writing :) Will miss your videos :'( Good luck to you and kick butt on your research!

its nice to see gabe back to pbs!!!! Good luck with your research though

GABE LIVES ON

You are better than my lecturer a lot:) Thank you for your amazing teaching !

Thanks for all the great videos Kelsey! I'm looking forward to the new hosts, and meeting Ty (was that her name?). But oh man, Gabe talks a million words a second it seems. He explains things very well, but so fast (for me) I typically have to go back and watch it at least two or three more times. I'm not formally trained or taught in math though, so I already have to pay especially close attention to these videos to understand them.... Anyway, I'm excited for Gabe because I think he's awesome.

welcome back gabe :)

He's baaack I'm going to miss you but that was a great surprise

Thank you for making Math fun and interesting! Good luck with the dissertation.

Good luck on your research and dissertation Kelsey! I wish you all the best!

NOOOOO! 😢😭

Nooooooo!!!! Don't go

You helped me trust myself better with math, thank you, and best of luck with your awsome work!

Thank you for all you've tought us! You are a great teacher

These comments are going by so fast nobody will know I parse HTML with regexes.

@ferdinandkraft857

6 жыл бұрын

ProductionPresents - I noticed because of the unicorns screaming.

Gabe, this time speak a bit slowlier, please ... Sometimes it was quite difficult to follow your remarks at PBS ST

@bytefu

6 жыл бұрын

It's not really a big deal, if you have a pause button, you dont' have to watch videos like TV, being afraid to take a piss just in case you miss something. I see so many people complaining about his speech rate, but hey, come on. Writing on PBS ST is very good and Gabe's pronunciation is not bad at all.If you're not a native speaker, like me, just watch more videos and movies, it will benefit you enormously in the long run. Putting that aside, however good the writing on PBS ST, you still need to watch their videos a few times before they really sink in. Sometimes I have to pause even their videos with Matt. They try to make it accessible, but it's freaking physics, dude, you have to put some effort :)

@jonp3674

6 жыл бұрын

You tube videos have a speed control which can help. Click the gear icon at the bottom of the video and you can slow it down if you like.

@ferdinandkraft857

6 жыл бұрын

It was never a problem for me, and I'm not even a native speaker. He talks fast, but also very clear, so it's actually a feature not a bug.

Sad to see you go, but best of luck in the future, and thanks for all the great episodes! Gabe, it'll be good to see more of you, but if I could make a request? I found your delivery on Spacetime to be quite fast, and sometimes hard to keep up with. When I was able to keep up, I found your writing to be great, so I'm looking forward to more of it, but could you try to go a little slower for those of us who might be in a little over our heads? :)

I am a geophysicist and really appreciate the breakdown in mathematics. I can only imagine how challenging your work in heat diffusion is. Screw good, luck YOU are smart enough to make very important breakthroughs. You got this.

No more hottie mathematician. Sad face.

@gabrieldoudna6570

6 жыл бұрын

so I'm not the only one who thinks she's total eye candy? 0.0

@gredangeo

6 жыл бұрын

She's eye candy alright, but she has a great voice too, and great topics for me to keep watching. I hope the new hosts can match her.

@code-dredd

6 жыл бұрын

nooooooooooooooo.com/

@MrLDiabolo

6 жыл бұрын

ye. real hottie. and smart. 😍 😔

@bored_person

6 жыл бұрын

Are you all visually impaired? She's a 5.5/10 at best.

Good luck with your dissertation! And welcome, new hosts!

Thank you so much for this wonderful journey!

Well, bon travels, and thanks for hosting. A couple of spectacular replacements though!

Thank you... Your life, and time in creating this series have surely inspired many, and have in some way, bring something in the life of many.

I have watched a lot of this videos and often I can´t understand what is going on but I love it. I have wanted to always comment and thank you for the channel. But I always had too many questions that I didn´t know what to say. So since its your last episode I figured out what to say: Thanks for the show.