Herndon Math Services

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@RizwanJee-il7di 25 күн бұрын

Sir what's the difference between a mapping and a well defined mapping

@RizwanJee-il7di 25 күн бұрын

Sir what's the difference between mapping and a function?. Please reply as soon as possible

@Team-1-Solo 3 ай бұрын

Thank you lol!

@emd4390 3 ай бұрын

why don’t the textbooks explain it like this? the paragraph it had was gibberish

@UtsmanAffan-cs3nt 4 ай бұрын

Really helpful! Thanks!

@DoesnotMatter-t9l 5 ай бұрын

Could you make a full lecture on real analysis? You explanation are easy to digest, , thank you keep going

@Victual88 5 ай бұрын

Thanks!

@cxnifer 6 ай бұрын

worked through velleman's proof's, gallian's modern algebra, and abbott's understanding analysis. feel like this explanation is better than those different views!

@HerndonMath 6 ай бұрын

Thank you and you are going to make me blush!😊

@JoshTheAlgebraGuy2949 7 ай бұрын

Hi! It’s Josh, the kid who likes Group/Galois Theory of quadratics! :)

@HerndonMath 7 ай бұрын

Hi Josh! I hope you get to enjoy some algebra today 🙂

@KhaledA.Al-Sharo 8 ай бұрын

In problem 2, you might add 5 or more ordered pairs. So, the problem might ask for the smallest possible number of ordered pairs needed to make it an equivalence relation. Thank you.

@adeshnirmal-bx4cm 8 ай бұрын

That was great sir 🎉

@isaiah8577 8 ай бұрын

Thank you Jake, however I am absolutely cooked this semester to a point far past that of no return. It is certainly over for me, this class is not even required for me I am just stupid.

@jian-was-here 8 ай бұрын

I’m taking discrete math and this is much more helpful than the textbook

@jesusisloard504 9 ай бұрын

sur i have a question ... is that the same meaning (purity of function ) and ( well defined )?

@jeremyrussial6554 10 ай бұрын

Jake thanks so much for this video - I'm in a discrete math class and this cleared up a lot of confusion.

@karinablanchard9511 Жыл бұрын

Thank you! I’m literally taking an elementary abstract algebra course in a few days and I’ve had a lot of trouble over the years trying to find a simple explanation for what “ well defined” means. This is a breath of relief.

@HerndonMath Жыл бұрын

You're welcome! I'm happy I could help.

@vijaysinghchauhan7079 Жыл бұрын

Is well-defined implicit in a function?

@HerndonMath Жыл бұрын

Yes, it's part of the definition of a function.

@IshanSingh-i7s Жыл бұрын

Great video this concept makes so much sense now and you explained it without making me feel dumb lol, really appreciate it!

@rgentil32 Жыл бұрын

professor, you teach in a very simple style, very useful. appreciate it :) I am taking Topology for the first time and trying to review ideas

@OmPatel-dp5gk Жыл бұрын

What I personally find helpful while this video is explained is to think about uniqueness and existence throughout

@monkeygenerator6394 Жыл бұрын

Thank you mate

@sarsax123 Жыл бұрын

amazing video!!

@loladeopeyemi9754 2 жыл бұрын

that was great thanks :)!!

@HerndonMath 2 жыл бұрын

You're welcome and thanks for letting me know! :)

@hlokomani 2 жыл бұрын

bro just saved my life

@aritramahapatra6959 2 жыл бұрын

Sir when we say set as well defined

@gaargant 2 жыл бұрын

Good video! I would also mention that if the output is not in the co-domain it is not well defined.

@kevinpostillon8846 2 жыл бұрын

So, a bijective function is the same as a "well-defined" function? Or not necessarily ...

@HerndonMath 2 жыл бұрын

Those are different concepts. A function is well-defined if every element of the domain goes to exactly one element of the codomain. A function is a bijection if every element of the codomain comes from exactly one element of the domain. They are sort of "mirror image" concepts you get by flipping the domain and codomain. All functions are well-defined (it's part of the definition of being a function), but not all functions are bijections.

@kevinpostillon8846 2 жыл бұрын

Great content!

@HerndonMath 2 жыл бұрын

tyvm!

@thenewdimension9832 2 жыл бұрын

Please make writing area visible .

@maxpercer7119 2 жыл бұрын

mathematics is the (careful) study of cartoons

@realnameverified416 2 жыл бұрын

At 4:00 why is p choose k a multiple of p? Thanks for the video!

@HerndonMath 2 жыл бұрын

This is because 0<k<p. Start from 2:02 in the video. The key details are given starting around 2:26 in my notebook. And you're welcome for the video!

@realnameverified416 2 жыл бұрын

@@HerndonMath p(p-1)! has a prime factor p and k!(p-k)! is a product of numbers <p and therefore doesn't have a factor p. Makes perfect sense! Your explanation is very good, I was just very tired and missed that somehow. Thanks!

@HerndonMath 2 жыл бұрын

@@realnameverified416 We've all been there 🙂

@angelofdarkness243 2 жыл бұрын

Thanks for the video. It blew up a light of my brain.

@HerndonMath 2 жыл бұрын

Thanks for letting me know! That's nice to hear.

@rushikanagla690 2 жыл бұрын

Sir wonderful keep uploading ur research works for us its really very very very superb and interesting! Ur fan and student from india 🙏👏😊

@jos2294 2 жыл бұрын

I still don't get why the infimum is always 0?

@HerndonMath 2 жыл бұрын

The main point is that between any two real numbers a and b in the domain there is a third real number c between a and b with f(c)=0. I hope that helps!

@jos2294 2 жыл бұрын

@@HerndonMath Thank you so much for the reply, is there a proof of this property? I know its the density property but f(c)=0 is something im not accustomed to

@HerndonMath 2 жыл бұрын

The "f(c)=0" part is true because of the function we are working with. There's not a name for this property. If I had to say it in English it would be, "Between any two points the function f is 0 at least once."

@jos2294 2 жыл бұрын

@@HerndonMath Alright I see now sorry for the trouble I appreciate this! I got confused for a bit

@dusatochhawng6562 2 жыл бұрын

Simple and very helpful

@HerndonMath 2 жыл бұрын

Thanks! I appreciate that.

@Rxneem 3 жыл бұрын

Thank you so much sir. it really helped!

@amnahali8171 3 жыл бұрын

Nice

@wolwerino962 3 жыл бұрын

thank you so much for making this available on internet because I couldn't feel this concept myself and now I am clear...Thank You

@HerndonMath 3 жыл бұрын

Your comment made my day. Thanks!

@kavitareckwar2295 3 жыл бұрын

Thankyou sir. Please share some more examples of Riemann integration.

@ost7487 3 жыл бұрын

Good

@Devilzlegacy 3 жыл бұрын

I have a discrete math midterm in 4 days and this was the only explanation that finally made sense, thank you!!

@HerndonMath 3 жыл бұрын

You're welcome :) I hope your midterm goes well!

@govilbusi943 3 жыл бұрын

Very well explained..simple and to the point. We look for more such videos.❤️ frm India

@HerndonMath 3 жыл бұрын

Thanks so much. It made me happy to read your comment.

@HerndonMath 3 жыл бұрын

You can download the real analysis topic list and follow along with the video. Download links are here: PDF version: drive.google.com/file/d/1t5Wi2RjENRF_-faG8SfvSd3tca2IMqLf/ Google Doc version: docs.google.com/document/d/1DLxfID3R7YC5BCHVX51coK8fXpRLyo8ocnX7KG8I4NQ/ Happy studies!

@covariance5446 3 жыл бұрын

The view of the handwritten notes is so nice! If you don't mind my asking, what kind of webcam/document camera are you using? Do you currently have it mounted on something or are you using some sort of stand that comes with the camera?

@HerndonMath 3 жыл бұрын

I'm delighted that you asked! I think way too much about my setup and it's good to know that something about it is working. :) I'm using a document camera made by InSwan. The model number is INS-1A. It has a built in stand that's adjustable, and in general it has been a very nice camera to use. Here's a link to the manufacturer's page: www.inswan.com/ins-1

@covariance5446 3 жыл бұрын

@@HerndonMathHey, Thanks for the quick and helpful response! It is indeed working quite well! And thanks for the link! The quality is especially impressive given its affordable price! :)

@LoveMathEdu 3 жыл бұрын

Your teaching is great but the font is quite small.

@HerndonMath 3 жыл бұрын

Thanks! I appreciate the feedback. Font will be bigger next time.

@demendoncabraga 3 жыл бұрын

You are like wine, man. Prettier everyday ;) Good luck with your KZbin Channel! Subscribed! PS: I am pretty sure your name is not *Dr.* Jake Herndon. Haha.

@HerndonMath 3 жыл бұрын

It is my name! I finished the PhD in 2019. Maybe I haven't mentioned it. It's been awhile since we talked.

@demendoncabraga 3 жыл бұрын

@@HerndonMath I guess you did not get my attempt of a joke. I imagine (hope! ha) that *Dr.* is your title, not part of your name. I definitely have not changed my name to Dr. Bruno de Mendonça Braga. Not yet at least! :) Anyway, nice channel! I hope thinks are going well!

@HerndonMath 3 жыл бұрын

@@demendoncabraga Okay, I get it now. I'm going to insist that I have many names. Dr. Herndon is one of them :) I watched your ODE playlist last night. I learned a lot and it reminded me how much I miss you. Take care, Braga.