This is tragic. I just learned that this professor, Alfonso Gracia-Saz, passed away due to COVID-19 complications. Rest in peace. You truly helped me in my journey towards mastery of calculus.
Thanks Mat I really needed this cause nowI have online school I couldn't use Khan Academy for sets and notation or any book I had on Algebra because I am taking college algebra
Im in 7th grade but I'm doing 8th grade math and this video is so helpful because my teacher just quickly goes through the lesson thinking that I would understand him with 5 minuets of talking and 85 min of individual work(I have 90 min of class)
1:41 in and I already understand it better then what the onramps the course for college algebra in high school has taught and mostly because I have to read it online
it doesn't have a symbol, example, a set with a symbol with three dots on the end on the elements, it means that set has a symbol but its elements are infinite,
By default, I normally always use the symbol "is a subset of and may be equal" unless there is a reason not to. In this case, we know they are not equal. The statement is still true.
What about the sideways U in a 'is a subset of' symbol with a line under it meaning 'or equal' .... but instead of opening towards the right (as in this video) it opens to the left?! Thanks
@@ieatpancreas2005 It's also called braces. I am not sure if it is an official thing, but I have parsed many lectures and I have come to the consensus that I most likely is due to the fact that many professors and mathematics use "curly braces" instead of "curly brackets". I know that most commonly the curly brackets are called such in programming, especially in c++, JavaScript, and c.
if you watch khann academy and the organic chemistry tutor you prolly know what I'm about to say..but I'm gonna say it anyways... WHAAATT?? Still searching on youtube for math help? Are the videos from 2016 really helpful?
Going to take this down because I have understood just was having a bad day. I am homeschooled and have to UA-cam things every week day of my life. Surely you can understand that everything piles up in my head and don’t understand every little thing. Being home schooled is a hard thing. Btw sorry for wasting these few seconds of your life but I need to let go sometimes and I’m sorry this time it landed on you
@@its_my_gaming3229 If you went back to the early 19th century, you would be right. But nowadays both conventions are used. Some mathematicians prefer one, some prefer the other. I think that algebraists and number theorists tend to prefer to include 0, whereas analysts tend to prefer to exclude 0. But even that is not always true. Look at the second paragraph in the Wikipedia page, for example: en.wikipedia.org/wiki/Natural_number Or, see this discussion among mathematicians on Stack Exchange where people argue for both definitions: math.stackexchange.com/questions/283/is-0-a-natural-number There is no correct answer: we can choose to define it one way or the other. The only thing that matters is this: when you read a book or paper, or when you discuss math with a person, be aware of the convention they use. That is all.
@@its_my_gaming3229 in CS theory courses at uoft we treat 0 as a natural number - many reasons for that, like array indices, induction, length of collections, etc - and it’s especially beneficial when we need to prove algorithms (either runtime or correction). Like whoever’s running the channel said, it’s a convention, nothing more nothing less, and if I were to make a proof public I’ll include in the header smth like “we’re counting 0 as a natural number”
This is tragic. I just learned that this professor, Alfonso Gracia-Saz, passed away due to COVID-19 complications. Rest in peace. You truly helped me in my journey towards mastery of calculus.
damn he died this month too.
aw thats so upsetting, my prayers go out for his friends and family
Thats sad man. RIP. I prayers for his family and friends.
That is so sad, I just came across his videos. Rest In Peace
where is the source
Rest in Peace proffesor alfonso, listening to your voice again through this video almost brought tears to my eyes.
You made this topic so simple to understand, thank you so much and rest in peace sir.
Wow, I just watched this video and I was going to say I was having trouble and you just helped me out a ton. This is tragic. Rest in Peace.
Rest in peace professor🙏🙏 u truly helped us all, may you find peace in heaven❤️
Wait he is dead?
@@vybz8243 he died from covid unfortunately:(((
I have never seen a more helpful video. It can give me a head start on my math lessons for the beginning of this whole new year. Heartfelt Thanks!
The concepts were explained really clear, thank you!
thank you so much for showing everyone what it means to be a great teacher, and helping students. have a great bless day sir.
your way of explanation is easy to understand for the students like me who have a hard time learning about this topic, and thank you for that.
Thank you so much .this video helps me so much. You explain it better than my teacher.
Thank you! Understand now!!!!!
Great, concise content. Thanks!
شرح جميييل
Good explanations
clear and concise, good job
Thank you this help me on my test
Thank you so much i kinda understand it now
Watch on 0.75x playback speed
Cool
Thanks Mat I really needed this cause nowI have online school I couldn't use Khan Academy for sets and notation or any book I had on Algebra because I am taking college algebra
thanx for clearing the basics ....
Rest in peace ☮️☮️☮️☮️☮️
simplicity at its best
Thank you ！
beautiful explanation. i like it. nice. very very nice
Im in 7th grade but I'm doing 8th grade math and this video is so helpful because my teacher just quickly goes through the lesson thinking that I would understand him with 5 minuets of talking and 85 min of individual work(I have 90 min of class)
Very Helpful Thanks
Just checking in to double check on my assignment before handing in. Thanks!
Nerd
@@marvilux2939 bruh wtf
@@marvilux2939 wtf-
@@marvilux2939 most nerds are smart your irrelevant opinion says a lot about you,im guessing your not a nerd so your quite the dunce then?
thank you so much!!
Thank you ❤️
Nice teaching keep it up
Thanks a lot
Very well explained sir
what is the prof using to display his written notes on the screen? is that a projector (the one we use to display transparencies?) or something else?
Yes, I use a document camera., similar to the one used to display transparencies.
rest in peace
Thank you sir 🙂🙂🙂
Thank you.
quick clear and so useful thank you so much, sir!
1:41 in and I already understand it better then what the onramps the course for college algebra in high school has taught and mostly because I have to read it online
same bro ;( it doesnt't help my teacher doesn't post her zooms either
Very helpful
thank you i get it now
Nice explanation
3:40 I noticed you didn't include a second two in the new set. Is it correct to assume a union is to produce a new set of unique elements?
Yes. Sets do not have repeated elements.
Thanks !!!!!!!
Rest In peace ✌️
Ily thanks
Op explanation 👍
Good explanations! The set of counting numbers are incorrect.... they start with 1!!!
what if the set is infinite how do you write its symbol?
it doesn't have a symbol, example, a set with a symbol with three dots on the end on the elements, it means that set has a symbol but its elements are infinite,
Ty ❤
THANK YOU! SO BRIEF AND TO THE POINT
NoDistractions what does n mean
So those sets at the end, since you used "may be equal symbol", do you mean they may be equal?
By default, I normally always use the symbol "is a subset of and may be equal" unless there is a reason not to. In this case, we know they are not equal. The statement is still true.
@@mat1378 Thank you!!
Thankyouu💓💓
Thank you Soooo much today is my Exam and I am now fully prepaired fir it thank you so much
He is dead
thank u
Thanku sir
Thanks. This helped.🤗🥺🤞
What about the sideways U in a 'is a subset of' symbol with a line under it meaning 'or equal' .... but instead of opening towards the right (as in this video) it opens to the left?! Thanks
That symbol means the thing on the right is a subset of the thing on the left. The symbol is also read as "is a superset of".
I understand 👍👊
this literally helped me in my exm :))
Galing mo naman sis
❤️❤️❤️❤️❤️❤️
RIP alfonso
👑🥇🙏
This things for which class
Soooooo helpful thank you
What’s Up
What does n mean
@@Kelsey-Lilly-White intersection which is common between the sets
😊😊
thnx helped soo much for my boards.
thnk u god
what about the member? Ex. A is a member of B?
He will never answer or reply u ever in ur life due to one reason
🙏🙏
RIP PROF
Thx bro
Nice vedio
How do you solve A ∈ k on a triangle 😭
Thank u
itsjoanna j
What does n mean
Natural actually starts from 1 right??
Yep you’re right it does
RIP
Hi do you have any contacts
(the mysterious man explains how to solve math problems)
*YOU'RE FILLED WITH DETERMINATION*
The explanation is so wide so I gets now
Natural numbers donot include 0
GOOD!
Helen Liu
What does n mean
number of elements in a certain set.
Hopefully. I helped you out 1 year later
thx
Amber Li what does n mean
thank you for your curly braces
Brackets*
@@ieatpancreas2005 It's also called braces. I am not sure if it is an official thing, but I have parsed many lectures and I have come to the consensus that I most likely is due to the fact that many professors and mathematics use "curly braces" instead of "curly brackets". I know that most commonly the curly brackets are called such in programming, especially in c++, JavaScript, and c.
@@huh.6149 ah I didnt know that
THX BRO
Hehehheeh
if you watch khann academy and the organic chemistry tutor you prolly know what I'm about to say..but I'm gonna say it anyways...
WHAAATT?? Still searching on youtube for math help? Are the videos from 2016 really helpful?
*2006
@@mr.animegod_yt ssshhhh
These are University of Toronto’s prep videos for lectures...
@@umadbroyo2388 and? yea the video was helpful just wanted to entertain some people in comments :v
It is good to obey Jesus Christ. Jesus Christ is God.
You made my day with the way you explained this beautifully like a naked Chihuahua
ກຳລັງຫາຄຳຕອບl ride a blcycle to schoolຕອບໄຫ້ແນ່
What does n mean
K Lilly what n are you talking about? If N as in natural numbers then its just the set containing the counting numbers. (0, 1, 2, ...)
K Lilly n mean -intersection
Going to take this down because I have understood just was having a bad day. I am homeschooled and have to UA-cam things every week day of my life. Surely you can understand that everything piles up in my head and don’t understand every little thing. Being home schooled is a hard thing. Btw sorry for wasting these few seconds of your life but I need to let go sometimes and I’m sorry this time it landed on you
Wide n means intersection and in nA, n(AUB) etc. n means I guess elements of those?
@@Kelsey-Lilly-White at least you shouldn't go to south asian public schools, you are hella lucky
0 doesn't belongs to Natural number
It is a convention. Half of mathematics textbooks include 0 as a natural number. The other half don't.
@@mat1378 bro... after class 9... in every mathematic book ... 0 isn't a Natural number...in every country...
@@its_my_gaming3229 If you went back to the early 19th century, you would be right. But nowadays both conventions are used. Some mathematicians prefer one, some prefer the other. I think that algebraists and number theorists tend to prefer to include 0, whereas analysts tend to prefer to exclude 0. But even that is not always true.
Look at the second paragraph in the Wikipedia page, for example: en.wikipedia.org/wiki/Natural_number
Or, see this discussion among mathematicians on Stack Exchange where people argue for both definitions: math.stackexchange.com/questions/283/is-0-a-natural-number
There is no correct answer: we can choose to define it one way or the other. The only thing that matters is this: when you read a book or paper, or when you discuss math with a person, be aware of the convention they use. That is all.
@@its_my_gaming3229 in CS theory courses at uoft we treat 0 as a natural number - many reasons for that, like array indices, induction, length of collections, etc - and it’s especially beneficial when we need to prove algorithms (either runtime or correction). Like whoever’s running the channel said, it’s a convention, nothing more nothing less, and if I were to make a proof public I’ll include in the header smth like “we’re counting 0 as a natural number”
Sir plss how to solve discreption is not easy for me because im also grade 6
Im grade 5
What
Y
Awaj Pata nhi chal raha h
🤓🤓
"Are the video of 2016 still useful" wow the irony
So material
*Panic*
Cant understand you speak fastttt
There's something called play back
Boooooooooooooooooooooooooooooooooooooooooooooooooooooooooo!
Why boooo
rest in peace