This has got to be the best introduction to modular math I’ve ever seen. Straight to the point and by someone that knows what they’re talking about. I’ve noticed that the people who break it down like this are really good at what they do and the people that try to sound “smart” don’t really understand what they’re trying to teach. Thank you.
I've watched many videos and went to many websites to just understand what is mod. Honestly I didn't understand anything till Ive seen ur video. I think it's fair to say you have the best modular arithmetic intro video
Wow! The modular Arithmetic can be a nightmare but this congruence topic was explained in the most simple way that I have seen. Very nice ...thanks for posting this👍
the values in the mod space can be thought of as a circle made up of m-1 terms so 14%12 like a 12hr clock and so you send up on 2 after you move 14 spaces
The wikipedia page on this is a good read. Think of it like a clock, we have 24 hours, but just 12 on an analog clock, so we would say its 5 o'clock, but it could be 05:00 or 17:00, thus 5 and 17 are congruent in mod 12. And thus AM/PM etc etc... You basically create an imaginary limit to infinity where numbers start looping around; like when we say 48 hours or 72 hours, we know how many days that are, because we only have 24 hours in a day, thus 48 hours has to be 2 days. So for example 14 is congruent to 6 in mod 8, because we start counting again at 8.
I just wanna say you 'thank you man! You know I was thinking about it for 3 days that how to solve these types of questions and wonder behind the logic of this.
I thought modular arithmetic was a rocket 🚀 science until I found your video. Now, modular arithmetic is easy peasy like drinking water 😆. Top man, thanks a lot
The best explanation so far. I think it would be better if we could change the symbols and wrote "mod 2" or simply 2 above the congruence symbol. That way things would be much clearer.
i was simply curius about cryptography and i saw this. Had no idea what the f was that until now thanks. (it looked simpliest of them all so i clicked it)
You could also think of the modular value (is that correct terminology?) as the remainder. 5 in mod 2 would be 1 because 2 goes evenly into 5 twice, meaning the remainder would be 1. 2 goes evenly into 3 once, also meaning that the remainder is 1.
Modular value sounds legit to me, and yes, it comes from the remainder. I will cover that a little later. For now I just wanted to give everyone a visual representation. I've noticed, that for many students, it's all to easy to get lost in the math, and not see the pattern when jumping straight to the remainder, especially when converting negative numbers to "modular values". Thanks for the comment. :)
The numbers you have specified as mods's (For Example: mod(2)= {0,1}) are actually the remainders of the division done. 5/2's remainder is 1, that is why we place a 1 on top of it.
In my lecture notes, I was given the following definition: a is congruent to b modulo n if and only if n divides a - b. At first I was dumbstruck, but now everything is starting to click. Thanks, and have an excellent day!
This has got to be the best introduction to modular math I’ve ever seen. Straight to the point and by someone that knows what they’re talking about. I’ve noticed that the people who break it down like this are really good at what they do and the people that try to sound “smart” don’t really understand what they’re trying to teach. Thank you.
Facts
fr
True
❤
It took me a solid hour of scratching my head then I found your video series and understood it all in 10 minutes, thanks a lot.
Bruh I've been scratching my head for ages.
Thank God for people like you that can simplify and teach knowledge. Keep it up, you are a blessing to human kind.
You're the only person who made me subscribe to the channel without asking to subscribe.
3 and 5 have the same value when we are dealing with mod 2 . great explanation sir . HATS OFF!!!
1
So much easier than the other videos explaining the same thing. Thank you!
man you really made my life easy after watching this video. all the best for you and please do not stop! the world really needs you
Wow, just amazing tutorial. You explained the basic modular arithmetic in the most clear way possible.
Coming here to learn modulo after 6years of you posting it and learning it under a few minutes. Thanks a lot for breaking it down
Probably the best introduction to modular arithmetic ever created
That number line changed how I understand modulos. Thanks!
OMG!!! thank you so much!! In only less than 5 min I got what I had been trying to understand with my book for over an hour!!!! :D
Amazing jop, I am taking cs 70 at Berkeley and this has made my life 10000 times easier
you taught this way better than my professor ever could from a 90 min lecture in under 5 minutes!! thank you!!!!!
I know I am 8 years late but this helped so much!!!! You have a way of explaining really well.
I cannot pass here without let my point of view about the the greatest video i've not seen before! I'm i'm learnig from Mozambique
I've watched many videos and went to many websites to just understand what is mod. Honestly I didn't understand anything till Ive seen ur video. I think it's fair to say you have the best modular arithmetic intro video
Best video on UA-cam about modular arithmetic thank you sir
Standing Ovation bro, bloody good explain. Thank you.
I can never thank you enough for this video, it just saved me before my final!!!! Thank you!
Finally! Thanks for this video. You explained it clearly than my Prof
The best intro to modular arithmetic
Thank you so much! being an online college student was confusing but this video helps a lot when it comes to cryptography
Thank you so much for providing this! It's a big help!
My textbook absolutely SUCKS at explaining this topic.
Best explanation I've ever seen. Thanks you so much.
Best Introduction for the Modular Arithmetic
Ok, I now actually get how it works now, I have an exam tomorrow so this is in the nic of time! THANK YOU
Excellent!! Best description I’ve ever seen for modulo math.
Wow! The modular Arithmetic can be a nightmare but this congruence topic was explained in the most simple way that I have seen.
Very nice ...thanks for posting this👍
the values in the mod space can be thought of as a circle made up of m-1 terms
so 14%12 like a 12hr clock and so you send up on 2 after you move 14 spaces
I did never think of modular this way. Very good explanation.
ur explaining is much more easier than fricking 2hs annoying ass class. thanks.
This was very helpful, thanks! I've been lost on this stuff for about a month in my class.
thank you for explaining it in such simple terms, that really helped me understand this.
Many videos are complicated and i cannot understand them properly but in this video i understand it quickly. Thank youuu, keep it up:))
literally the first video I have liked on youtube ever
You have lessened my burden..thank you..
This video is excellent. Thank you for explaining this so clearly!
The wikipedia page on this is a good read. Think of it like a clock, we have 24 hours, but just 12 on an analog clock, so we would say its 5 o'clock, but it could be 05:00 or 17:00, thus 5 and 17 are congruent in mod 12. And thus AM/PM etc etc... You basically create an imaginary limit to infinity where numbers start looping around; like when we say 48 hours or 72 hours, we know how many days that are, because we only have 24 hours in a day, thus 48 hours has to be 2 days. So for example 14 is congruent to 6 in mod 8, because we start counting again at 8.
I just wanna say you 'thank you man! You know I was thinking about it for 3 days that how to solve these types of questions and wonder behind the logic of this.
You are a king for this.
Thanks. Only explanation where it clicked for me
Great video. After looking on Google at explanations of modular arithmetic, to no avail, you're video has helped greatly. Cheers.
Did not need to watch another video after this. Thanks a million
Thank you! Your explanation was so much easier than my course material.
Actually your course material is hard
I thought modular arithmetic was a rocket 🚀 science until I found your video. Now, modular arithmetic is easy peasy like drinking water 😆. Top man, thanks a lot
My teacher has 1 hour for this and you explained it in 4 minutes and 47 seconds.
WOW!!!!!I can sleep with a smile ,Finally
If you can't explain a topic in 5 minutes or less you don't have a good enough understanding of the topic yourself.
Wonderfully done!
Wow i can't believe this is so easy now i realize thank you
this the simplest explanation and I love it 😍
Thank you I didn't know cryptography and now I know it and I know that it's very cool...
Thank you again!
I really like your video simple and easy to learn
I think you just got one more subscriber.
THIS SAVED MY LIFE THANK U
Wow, looked so much until I found this. gr8 intro !!
Beautiful explanation. Thank you very much!
I'm studying for my CISSP cert and the book was terrible in explaining this, thank you for this!!
Very easy to understand sir.
Thanks a lot
Helpful for my math master sessions. Thank you!🎉🎉🎉🎉🎉🎉
Brilliant video, this is really easy to understand.
The best explanation so far. I think it would be better if we could change the symbols and wrote "mod 2" or simply 2 above the congruence symbol. That way things would be much clearer.
Your video make me understand modular arithmetic.
This explanation is fantastic
Damn lesson 2 the one I need
i was simply curius about cryptography and i saw this. Had no idea what the f was that until now thanks. (it looked simpliest of them all so i clicked it)
Maybe u didn't realise u have the best video. But that's just how it is from my view. You should be very proud of urself
Sweet ...this is what I was looking for...why it is made difficult
Thx man
helped for university exam,thanks you sir.
So easy to understand, thanks for the intro
Directionality is fascinating.
Good teaching. Thanks from Texas!
Супер. Наконец-то стало понятно что за модули блин тут используются.
Thanks so much. Very clear video.
Thank you so much
it helped me with programming
Another good method to explain mod is by using circles (spiral like) instead of an axis, it can be more visual to see the paterns this way
Remainders?
You could also think of the modular value (is that correct terminology?) as the remainder.
5 in mod 2 would be 1 because 2 goes evenly into 5 twice, meaning the remainder would be 1.
2 goes evenly into 3 once, also meaning that the remainder is 1.
Modular value sounds legit to me, and yes, it comes from the remainder. I will cover that a little later. For now I just wanted to give everyone a visual representation. I've noticed, that for many students, it's all to easy to get lost in the math, and not see the pattern when jumping straight to the remainder, especially when converting negative numbers to "modular values". Thanks for the comment. :)
'For any programmers'
mod div is very helpful when it comes to programming too.
Are you sure it's not
3(mod 2) = 5(mod 2)
You know what he's using the Congruence not the Equals.
Albert John Nguyễn cryptography, not mathematics
awesome video once again. such a simple explanation!
Great job! Finally it makes sense to me
Thanks a lot for the intro 😄
thanks for teaching mod it was really helpful
The numbers you have specified as mods's (For Example: mod(2)= {0,1}) are actually the remainders of the division done. 5/2's remainder is 1, that is why we place a 1 on top of it.
is 5 congruent to 1 in mod 2 also or just 3? also thx for the explanation
Thanks for this video! Great explanation :)
This helped me alot neat clean approach explanation this was helpful thankyou ❤️
Great tutorial thank you! Finally I understand :D
just subscribed! amazing video explained so well
Finally I understand. Thank you!
Thanks a lot. Finally it makes sense.
Amazing explanation, thank you!
Understood in the first go thanks to you
That's fantastic! Thanks for checking out this lesson! I wish you the best in your studies.
this will help for JEE, thanks
you made my day.....I have struggled with RSA😂
I am happy to have made your day! I would like to make a video on RSA some day.
This helped me a lot! Worked for me really well! Thanks!
In my lecture notes, I was given the following definition: a is congruent to b modulo n if and only if n divides a - b. At first I was dumbstruck, but now everything is starting to click. Thanks, and have an excellent day!
Thankyou great introduction.
So normal math is mod ♾️?
better than university of london :')
perfect explanation thank you
understand this better than my uni prof
This just blew my mind in so many ways holy fuck!!!