You are really a good teacher love your teaching style to directly come on point of the topic not wasting the time of students like other teachers keep it up
Most people making UA-cam videos "teaching" have many flaws; poor explanations, unclear examples, strong accents etc... this video was so clear I only needed to watch once and as a result, I’m now a subscriber! Thank you and keep the videos coming. They are needed...
Thank you, but this is not an ASMR channel, so I am a bit confused. Do you mean that you are using these videos as ASMR? That’s quite interesting to me if so.
Exactly! It is unintentional ASMR... I watching without thinking...magic of digital...just relaxing...actually in my scull and university I was perfect in math and high math....always worry how to pass exams...but now interesting just to watching...:)
Very interesting, thank you for sharing that. I have considered doing ASMR-focused math lessons before as I know a lot of people would like that, I’m just not sure it’s something I’d be particularly good at, especially as someone who doesn’t feel anything from ASMR videos. I’m glad you find ASMR value in the lessons I have already done!
Yes it is work! Specially some people relaxing from writing, sounds and visual... so if you starting your asmr channel it is would be unique...also like in your other video writing on computer math with different colours of ink...looks soft...little bit lower sound level of talking...and it is perfect asmr...
Yes one of my thoughts has been that with the digital writing, which I much prefer, we lose the sound of writing, which is a nice sound. But despite that, it might be worth trying for a few videos to see how it goes. Thanks for the pointers and the comments, I’m keeping the idea near the front of my mind.
Set SetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSet
Okay so i have been finding a vid for power set and couldn't find one.. But when i saw ur vid on this topic.. I understood this so well. U teach better then my teacher...
Showed up in my morning feed, was nice to see you deal with the empty set, but my OCD is going off because you didn't finish it of with 2^0 = 1, which is the cardinality of the empty set, containing just the empty set itself.
Glad to help, and thank you for watching! I’m always creating new math lessons to try to be as helpful as I can both for my audience, and for those who may find the channel in the future. So, please let me know if you have any lessons you’d like to see on the channel! Sometimes I get requested lessons out as quickly as a day or two later, though it is certainly not a guarantee, haha. All depends on my schedule!
I hope it helps, thanks for checking out the channel! Let me know if you have any questions and I can try to help clear them up here in the comments or do a video lesson on it! I also just started a live show on the channel, the next episode is this Thursday at 7pm EST, and you can drop by and ask math questions and get them answered live if you're interested! :)
Thanks for lessons, I will be needing help from your platform in understanding the mathematical economics for the program I am my MSc in financial economics .
I opened a new tab for like 10 seconds and came back to google meet i didnt know what the hell my teacher is talking about, This vid helped me alot at my exams
ok let me first start by saying how helpful this video lesson is😭❤, but in minute 3:19 you put the empty set inside the brace. I was taught in school that you shouldn't put empty set in the braces. Anyways, THANK YOU A LOT!☺👍
Thank you for watching and for your comment, I am glad it was helpful for you! The empty set is just a set, and sets are allowed to contain sets, so there is nothing wrong with making the empty set an element of another set (or putting it inside the braces, so to speak). I suspect what you were taught is to not put the empty set inside the braces as a way of writing the empty set, which people sometimes do by accident. By that I mean, that 0 with a line through it is a way of writing the empty set, it is a set all on its own. If you then put it inside braces, the whole thing is no longer the empty set, it is the set containing the empty set. So if you were learning about the empty set, your teacher may have said to not put it in the braces if you're trying to write the empty set, because that isn't the empty set. But I was trying to write the set containing the empty set, which is why I put it inside the braces. Does that make sense? Thanks again and be sure to let me know if you have any video requests, I am always down to do set theory lessons, and any other requests are great too!
@@WrathofMath Wow! thank you so much! So, can I pick whichever I want? I have to tell my math teacher about this. He cuts marks when we put the empty set in the braces ;( For a math video, can you please make one about graphs (as many types of graphs 😅 cuz I'm horrible at graphs)? and maybe show more methods in your math lessons😮? Do you make physics videos? btw I have another question🙈 is there a difference between { } and an empty set (a 0 with a line through)? Thank you so much sir, you save students' marks!!😭💕💕... I go to hell (school🌋🔥) to learn math for 45-60 mins from Mon-Fri and learn more from a quick and easy 5 minute video😩 P.S. sorry this was long lol😆
I’m not sure what you mean. You asked “Can I pick whichever I want?” so I think you might have misunderstood me. The empty set can only be written as { } or as the 0 with a line through it. What I was saying is that there is nothing wrong with the empty set being placed in another set, but if you do that, the object as a whole is no longer the empty set. So to try to clarify what I am saying, this: { } is the empty set. We can put it into another set, and have something like { { } }. But this: { { } } is not the empty set, it is the set containing the empty set. There is nothing wrong with putting the empty set into another set, but when you do that, what you have is no longer the empty set, it is a set that contains the empty set. You ask about graphs, do you mean plots, like graphs of functions? Or do you mean graph theory graphs that have vertices and edges? By show more methods do you mean something like showing different ways of solving the same problem? I try to include/mention different ways of solving problems when I think it is relevant, but I also like to keep my lessons as short and focused as possible. If I ever do a lesson on something that you would like to see done a different way, let me know and I might be able to discuss the method you are interested in! I have not made any physics videos but I plan to eventually! If you have any specific requests in that area, let me know and I might do one. No worries about the long comment, I appreciate all comments and I myself have a habit of writing very long comments. I appreciate your kind words and I am glad to be able to help! It is often the case that short online videos are far more helpful for students than classes in school, which is very frustrating for students. In many ways, I think the current form of public education is gravely flawed, which creates quite a market for alternative education methods, like all of those here on UA-cam. Thanks for watching!
@@WrathofMath okkkkaaaay now I get it :0 so the 0 with a line through is a set by itself and { } is a set by itself. so { } is not an empty set when we put a 0 with a line through, and a { { } } is not an empty set. It's the set containing the empty set. (sorry for my bad explanation) That's how I under stood it. and also please ignore the suggestion i gave about having different methods😂 now that I think of it I want the easiest and fastest way to solve questions :D so pls ignore that😅😆 Hmmm I never knew how many graph lessons there are until you asked which one exactly lol😂 OK so there is a lesson we'll have really soon about "Relations and Functions" it's the lesson that includes stuff like slopes, domain, relation, range etc. BUT this includes things like R = {(x , y): y=|x|} it includes other lessons like: A) Sum of Functions B) Difference of Functions C) Product of Functions , etc... a video will really help me and other students ;)😛 YAY! you should actually make physics video but maybe make a whole channel about it cuz your UA-cam channel name is "Wrath of Math" ✌ videos like: 1) The first condition of equilibrium 2) Average Velocity and Instantaneous Velocity 3) Graphical Study of Motion 4) Graphical Study of uniform motion 5) The effect of Force related to shape on a body 6) Effects of Force Related to the Change in motion state of a body 7) Hooke's Law of Elasticity but there are sooooo many calculations in these soooo much😩 (these are too many requests but there are not many helpful physics videos here 🙀) Thank you a lot! I'm definitely subscribing and turning the post notification on! you're really nice to spend time and actually reply to your comments❤
Exactly! The 0 with a line through it is a set, and it is the same as { }, they’re both the empty set. As long as I am understanding you correctly, it sounds like you have got it down! I always try to provide the best, or most illuminating way to solve a problem in the context of the current lesson. Sometimes in a lesson I will go through a problem in a slow way that I normally wouldn’t on my own, but once you do similar problems enough, you can really speed up your own process. That is some great material on functions! I already have a lesson on relations and one on functions here on the channel that you might find helpful. But certainly I can address some of those other topics in their own videos as well. I will probably try to limit myself only to physics topics that are heavily mathematical, so that it is in keeping with the channel brand, and like you say, many physics topics are very mathematical and have many computations in them, so there is a lot of material that could be covered. Thanks so much for subscribing and for your comments! I appreciate all the requests; I am always asking for more requests! I will get working on some of these lessons once I return home from Baltimore, which will be next week. Thanks for watching!
Thank you very much! Wrath of Math is growing every day, I’m excited to keep growing the channel and reaching more people, and new lessons are coming very soon. If there are any lessons you’d like to see, let me know!
Also, a small suggestion, kindly increase the speed of your explanation, I understand that you are making videos for every kind of learner, yet it is what I felt.. Just explain the brewed content in the first 1 min and then explain briefly... It would suit people who are skimming for the answers... Also add a nice thumbnail to the videos...
I have not actually heard of fuzzy sets before, I will learn more about them at a later date and do a lesson on them when I feel I can teach it effectively. This will probably not be able to benefit you, but hopefully it will benefit others in the future. Thanks for the recommendation! I appreciate that you found the explanation a little slow, I have actually not got that feedback before that I can recall. I do try to make my lessons easy for all to understand, but at the same time, I know some people will need more guidance than others if they are less comfortable or familiar with a topic. For this reason, I have done things like split up videos on similar topics (for example, set intersection and union), but have also recorded a separate lesson that goes over both of them in the same lesson a little faster. Doing something like that obviously takes more time, however, and has the downside of covering the same topic(s) twice instead of adding new topics to the channel. Additionally I think it best, when recording a lesson, to lean towards explaining too much than to risk explaining too little. The reason being that someone who doesn't need that much explanation on a topic can skip ahead and fast forward through explanations and examples they do not need, and still learn from the video, that is, they can take the "excess" explanation out. But if my explanation is not clear enough for someone, they cannot add more explanations and examples into the video in the same way that the other group can take them out. If you find my explanations a bit too slow, and for anyone else who does, I would say try any combination of the following things. 1) Skip through explanations and examples you do not need. If you are on a computer, the "L" key will fast forward 10 seconds, "K" will pause, and "J" will rewind 10 seconds. To make sure that works correctly, you just have to make sure your browser is "focused" on the page playing the video (this is for PC users, but I am not sure about Mac). To do this, simply click the white space to the left of the video. If you are on mobile, double tapping the left side of the video will rewind 10 seconds, double tapping the right side will fast forward ten seconds. Try using those shortcuts to more easily skip parts of lessons you do not need/want! 2) In all of my lesson descriptions, I try to type out an explanation of the content covered in the video. This can be a bit hard sometimes as math notation cannot always be clearly written in a UA-cam description, but for some lessons you might find simply reading the description to be enough to understand the material. This will almost always be quicker than watching the video. It is there to supplement the video, or replace it, as needed by the viewer. 3) In my experience the quickest way to learn a math concept is to read it. A definition will usually do if it is a field I am familiar enough with. If you are finding video lessons to be more in depth than you need, or to go slower than you would like, maybe you'd be fine just reading the definition of something rather than listening and watching an in depth explanation with examples. For example (there could be some irony here), if you understand the basics of set theory well enough but do not know any set operations, the written definition of union is probably more than enough for you to understand what the union of two sets is. Thus, reading the definition would be a more efficient and preferable method of learning than to watch a video lesson on it. My point being, sometimes just Googling what you want to learn and clicking on one of the first text-based results will be the quickest way to learn something. Especially if it is something you once knew but you need a quick refresher. I realize this response may be more comprehensive than you expected (again I sense some irony), but I write my comment replies with the expectation that more than just the OP will read them, so should anyone else also find my lessons too slow, I hope these suggestions will either help make my lessons work for them, or help them find a different solution to learning mathematics on their terms. I also want to mention that I don't try to make my lessons slow, per se, I just try to make sure I am in depth, comprehensive, and deliberate with all that I say about the topic at hand. I appreciate the feedback on the thumbnails. I actually used to use more stylized custom-made thumbnails if you look at my older lessons. The reason I stopped is that it takes a lot of extra time to make those thumbnails, and the end product, while it looks nice, has the weakness of not communicating to the prospective viewer what style of video it is. By that, I mean if you look at the old thumbnails, you would not know that the video is an overhead shot of a hand working on paper on a table. Some people might prefer such style of lessons, while others may not, so I wanted to let the viewer know upfront what type of videos the lessons are. That way, they will have a better idea of what they are getting before they click. I do like the look of the old thumbnails, however. And I am happy to say that I am going back to a more stylized thumbnail soon that has the lesson title on it and all that, but will also accurately portray the style of the video. So stay tuned for that! Sorry for the novel, I can really ramble on in these comment sections. Thanks for the feedback!
Haha, these days if I pronounced something strangely I might just start the whole thing over! This video seemed to go over pretty well though, so I am glad I kept it! Let me know if you ever have any questions!
Thanks for watching and for the question! Remember that if a set S has cardinality n, then the cardinality of the power set of S is 2^n. With that in mind, A union B is a set. What is cardinality of A union B? From that information, you can figure out the cardinality of the power set! Does that help?
@@WrathofMath um.. hello?! i have homework, and it says, how many elements are there in power set if; ___ does that mean i count all the elements of all the subsets of the original set?
What if the set A has sets within the set, such that A = {1, {1}, {2}. {{1}, 2} }. What would the power set look for for those elements that are in sets of themselves already? Would they be in another set?
Sure. In set theory (as usually axiomatized, e.g. ZF or ZFC) all elements are sets. For example, natural numbers are defined as follows: 0 is the empty set, 1 is the set {0} (set whose only element is the empty set), 2 is {0,1}, 3 is {0,1,2}, and so on. Observe that any natural number n is a set with exactly n elements, and it's a set of all numbers less than itself. Also observe that n+1 is obtained by taking the set n, and adding n itself to it as a new element: n+1=n∪{n}. So under this definition, P(0)={0}, and P(2)={0, {0}, {1}, {0,1}} - you can write these elements again as sets.
is the {{ } part of the power set counting? Because our math teacher given us a question and he said that it need to be 32 power sets and i gave all the answer and there is still 4 missing to complete 32 power sets... do i need to put in the {{ }so it counts as 1 power set?
I am not sure what you mean by “the {{}”. Two subsets people often miss when constructing the power set of A are the empty set: { }, and the set A itself. If your power set is missing 4 elements (meaning you have missed 4 subsets of the set being considered), then 2 of the elements you are missing could be { } and the set itself, but I could not give you any idea what the other 2 may be. Have I misinterpreted your question? If you have a more general question about subsets/power sets, I can try to answer that, but if you simply are missing two elements in your power set, you will simply have to look closely and track them down. I will say, however, to have you write out, by hand, the power set of a set with cardinality 5, is a massive waste of time. Reading your question again, I see you said 32 “power sets”, not 32 subsets, so I might have totally misinterpreted your question.
Check out my new math rap channel for more math education in a rhythmic package! ua-cam.com/video/L68v_W40SYo/v-deo.html
What is the song's title that plays at the end of this tutorial
Dude. The ability to explain a topic simply that would first appear complex is the trait of one who understands it well. Thank you for explaining.
Thanks for watching!
This is awesome. A topic I didn't understand throughout my first year. You took minutes to explain and I understood. Thanks so much.
So glad it helped, thanks for watching!
Understood in just one go. Thanks!
No problem, glad it helped!
My favorite part is when he said “set”
That was a pretty exciting part, I figured the viewer wouldn’t see it coming! Thanks for watching!
Huh? :)
@@WrathofMath the sarcasm 💀
He set you up for that one
@@user-qn8lh7ej9g lmao.. this man do be liking a reply of a reply of a comment 1.2 years later
You are really a good teacher love your teaching style to directly come on point of the topic not wasting the time of students like other teachers keep it up
Thanks a lot, glad it helped!
Most people making UA-cam videos "teaching" have many flaws; poor explanations, unclear examples, strong accents etc... this video was so clear I only needed to watch once and as a result, I’m now a subscriber! Thank you and keep the videos coming. They are needed...
Thanks so much for the kind words and for subscribing, I am glad the video was clear! More on the way and let me know if you ever have any questions!
Thats unusual!
Wow! I’m so glad I found your channel, I’ve been finding so many wonderful ASMR channels recently! Looking forward for your new videos!
Thank you, but this is not an ASMR channel, so I am a bit confused. Do you mean that you are using these videos as ASMR? That’s quite interesting to me if so.
Exactly! It is unintentional ASMR... I watching without thinking...magic of digital...just relaxing...actually in my scull and university I was perfect in math and high math....always worry how to pass exams...but now interesting just to watching...:)
Very interesting, thank you for sharing that. I have considered doing ASMR-focused math lessons before as I know a lot of people would like that, I’m just not sure it’s something I’d be particularly good at, especially as someone who doesn’t feel anything from ASMR videos. I’m glad you find ASMR value in the lessons I have already done!
Yes it is work! Specially some people relaxing from writing, sounds and visual... so if you starting your asmr channel it is would be unique...also like in your other video writing on computer math with different colours of ink...looks soft...little bit lower sound level of talking...and it is perfect asmr...
Yes one of my thoughts has been that with the digital writing, which I much prefer, we lose the sound of writing, which is a nice sound. But despite that, it might be worth trying for a few videos to see how it goes. Thanks for the pointers and the comments, I’m keeping the idea near the front of my mind.
This guy cuts the crap and gets straight to the point, thank you
So briefly and precisely explained. Thank you!
My pleasure - thanks for watching!
Thanks man!You saved my life today in 4 min and 4 seconds !
So glad it helped, Ash! Thanks for watching and let me know if you ever have any questions!
Thank you very much! I tried learning about power sets on Wikipedia for 26 minutes and learned here in about 3 (:
So glad it helped! Sometimes a quick video is just what you need, thanks for watching and let me know if you ever have any lesson requests!
When I was reading the definition I was like SET WHAT SET WHO, SET UP?! Thanks for helpin a brotha out we out here.
Set SetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSet
setsetsetsetsetsetsetsetset
SetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSetSet
Okay so i have been finding a vid for power set and couldn't find one.. But when i saw ur vid on this topic.. I understood this so well. U teach better then my teacher...
Showed up in my morning feed, was nice to see you deal with the empty set, but my OCD is going off because you didn't finish it of with 2^0 = 1, which is the cardinality of the empty set, containing just the empty set itself.
Thanks, this helped me understand the power set better. I've never done this before so its helped.
Glad to hear it! Thanks for watching and let me know if you ever have any lesson requests!
thank you so much sir - tomorrow is my maths exam at school and you really save my skin, the video was very helpful 😊
Glad to help!
Beautifully explained! Thanks a ton!
No problem, I am glad it helped! Thank you for watching, and be sure to let me know if there are any other lessons you'd like to see on the channel!
In just one video, my fundamentals about power set and subset got cleared. Thank you Sir 🙏.
You are saving me in my university maths degree. THANKS.
Glad to help, and thank you for watching! I’m always creating new math lessons to try to be as helpful as I can both for my audience, and for those who may find the channel in the future. So, please let me know if you have any lessons you’d like to see on the channel! Sometimes I get requested lessons out as quickly as a day or two later, though it is certainly not a guarantee, haha. All depends on my schedule!
AHHHHHH THIS HELPED ME UNDERSTAND POWER SETS SO MUCH BETTER THANK YOU SMMMMM
Came here for cardinality of a power set,got what i came here for🎉❤
Thanks, man! U were a great help for me to revise this in one go. :)
Glad to hear it, thanks for watching!
this helped me so much! thank you!
I’m glad it helped, thanks for watching!
This method is so easy!! thanku for this video👍
You’re very welcome, I’m glad it helped! Thank you for watching and let me know if you have any video requests!
OMG I GOT 50/50 ON MY PERIODICAL TEST BECAUSE OF YOUUUUU THANSKSKSKSKSKSKABAJJA
It's your hard work paying off - good job!
Beautiful hands 😂❤!
Students shouldn't be like me😂😂.
Thank you soooooooooo muchhhhhhhhhhhhh sir.
Thank you so much for this brief and precise explanation. Stay blessed
Magnificient video, greetings from Turkey
Thank you! Much love from here in the US!
Very easy explanation and straight forward to understand . Thanks a lot !
You're very welcome and thank you for watching! Let me know if you ever have any video requests!
Expectation: me: i did not skip ads for u
Reallity: me: i did not skip ads cuase the ad said video well be played after ad
Very true
LMAOAOOOAOAO I LOVE THIS VIDEO ITS FUNNYYYY YET EDUCATIONAL 😭😭😭
This is a very clear explanation. Thanks.
Glad you found it clear, thanks for watching!
Your teaching is on par with MathAntics!
Thanks so much!
Very good explanation I was learning for my test and found your video it helped me❤️from🇮🇳🇮🇳
Helped alot that's why I get bored in school not on UA-cam
Thanks man.... I can now finally understand power sets...
You're welcome, I'm glad to hear it helped!
Thank you so much ❤️ from Bangladesh 🇧🇩🇧🇩
My pleasure! Thanks so much for watching!
In the world where competent people live, however, power sets usually come with matching and rationally placed sets of brackets.
The way uu teach is really ...........
Fabulous 🤩🤩
Thank you, Saniya!
Your way of teaching is really amazing
Greeting from UK
Thank you, glad to help!
Gotta watch this to advance my studies in Grade 7!
Hope this works :)
I hope it helps, thanks for checking out the channel! Let me know if you have any questions and I can try to help clear them up here in the comments or do a video lesson on it! I also just started a live show on the channel, the next episode is this Thursday at 7pm EST, and you can drop by and ask math questions and get them answered live if you're interested! :)
@@WrathofMath Okay! :)
Thanks for lessons, I will be needing help from your platform in understanding the mathematical economics for the program I am my MSc in financial economics .
I opened a new tab for like 10 seconds and came back to google meet i didnt know what the hell my teacher is talking about,
This vid helped me alot at my exams
So glad it helped, thanks for watching!
Thanks. I have to write a program to find the powerset and I didn't even know what a power set was.
Sir, thank you so much 😍😍
No problem! Thanks for watching!
this really helped me a lot bruh.... thumbs up!
Glad to hear it, thanks for watching! Let me know if there are any other lessons you would like to see on the channel.
Thanks able to understand better than when I read it from a textbook
Thanks for watching, I am glad it helped! Let me know if you have any video requests!
if set A contained {2,4} and the set was squared ( A^2) do you just multiply the set by itself which comes out to (4,16) ?
Thank you so much sir.You explained it really amazing.😊
Glad it was clear, thank you for watching!
Nice 😄 explanation..... ☺☺ . You made me understand in one go... Keep it up sir
Thanks for watching and I'm glad it helped! I'm keeping it up as best I can - new lessons every 2 days :)
Thank you Sir 🇮🇳
My pleasure, thanks for watching!
ok let me first start by saying how helpful this video lesson is😭❤, but in minute 3:19 you put the empty set inside the brace. I was taught in school that you shouldn't put empty set in the braces. Anyways, THANK YOU A LOT!☺👍
Thank you for watching and for your comment, I am glad it was helpful for you! The empty set is just a set, and sets are allowed to contain sets, so there is nothing wrong with making the empty set an element of another set (or putting it inside the braces, so to speak). I suspect what you were taught is to not put the empty set inside the braces as a way of writing the empty set, which people sometimes do by accident. By that I mean, that 0 with a line through it is a way of writing the empty set, it is a set all on its own. If you then put it inside braces, the whole thing is no longer the empty set, it is the set containing the empty set. So if you were learning about the empty set, your teacher may have said to not put it in the braces if you're trying to write the empty set, because that isn't the empty set. But I was trying to write the set containing the empty set, which is why I put it inside the braces. Does that make sense?
Thanks again and be sure to let me know if you have any video requests, I am always down to do set theory lessons, and any other requests are great too!
@@WrathofMath Wow! thank you so much! So, can I pick whichever I want? I have to tell my math teacher about this. He cuts marks when we put the empty set in the braces ;(
For a math video, can you please make one about graphs (as many types of graphs 😅 cuz I'm horrible at graphs)? and maybe show more methods in your math lessons😮? Do you make physics videos?
btw I have another question🙈
is there a difference between { } and an empty set (a 0 with a line through)?
Thank you so much sir, you save students' marks!!😭💕💕... I go to hell (school🌋🔥) to learn math for 45-60 mins from Mon-Fri and learn more from a quick and easy 5 minute video😩
P.S. sorry this was long lol😆
I’m not sure what you mean. You asked “Can I pick whichever I want?” so I think you might have misunderstood me. The empty set can only be written as { } or as the 0 with a line through it. What I was saying is that there is nothing wrong with the empty set being placed in another set, but if you do that, the object as a whole is no longer the empty set. So to try to clarify what I am saying, this: { } is the empty set. We can put it into another set, and have something like { { } }. But this: { { } } is not the empty set, it is the set containing the empty set. There is nothing wrong with putting the empty set into another set, but when you do that, what you have is no longer the empty set, it is a set that contains the empty set.
You ask about graphs, do you mean plots, like graphs of functions? Or do you mean graph theory graphs that have vertices and edges?
By show more methods do you mean something like showing different ways of solving the same problem? I try to include/mention different ways of solving problems when I think it is relevant, but I also like to keep my lessons as short and focused as possible. If I ever do a lesson on something that you would like to see done a different way, let me know and I might be able to discuss the method you are interested in!
I have not made any physics videos but I plan to eventually! If you have any specific requests in that area, let me know and I might do one.
No worries about the long comment, I appreciate all comments and I myself have a habit of writing very long comments. I appreciate your kind words and I am glad to be able to help! It is often the case that short online videos are far more helpful for students than classes in school, which is very frustrating for students. In many ways, I think the current form of public education is gravely flawed, which creates quite a market for alternative education methods, like all of those here on UA-cam. Thanks for watching!
@@WrathofMath okkkkaaaay now I get it :0 so the 0 with a line through is a set by itself and { } is a set by itself. so { } is not an empty set when we put a 0 with a line through, and a { { } } is not an empty set. It's the set containing the empty set. (sorry for my bad explanation) That's how I under stood it.
and also please ignore the suggestion i gave about having different methods😂 now that I think of it I want the easiest and fastest way to solve questions :D so pls ignore that😅😆
Hmmm I never knew how many graph lessons there are until you asked which one exactly lol😂 OK so there is a lesson we'll have really soon about "Relations and Functions" it's the lesson that includes stuff like slopes, domain, relation, range etc. BUT this includes things like
R = {(x , y): y=|x|}
it includes other lessons like:
A) Sum of Functions
B) Difference of Functions
C) Product of Functions , etc...
a video will really help me and other students ;)😛
YAY! you should actually make physics video but maybe make a whole channel about it cuz your UA-cam channel name is "Wrath of Math" ✌
videos like:
1) The first condition of equilibrium
2) Average Velocity and Instantaneous Velocity
3) Graphical Study of Motion
4) Graphical Study of uniform motion
5) The effect of Force related to shape on a body
6) Effects of Force Related to the Change in motion state of a body
7) Hooke's Law of Elasticity
but there are sooooo many calculations in these soooo much😩 (these are too many requests but there are not many helpful physics videos here 🙀)
Thank you a lot! I'm definitely subscribing and turning the post notification on! you're really nice to spend time and actually reply to your comments❤
Exactly! The 0 with a line through it is a set, and it is the same as { }, they’re both the empty set. As long as I am understanding you correctly, it sounds like you have got it down! I always try to provide the best, or most illuminating way to solve a problem in the context of the current lesson. Sometimes in a lesson I will go through a problem in a slow way that I normally wouldn’t on my own, but once you do similar problems enough, you can really speed up your own process.
That is some great material on functions! I already have a lesson on relations and one on functions here on the channel that you might find helpful. But certainly I can address some of those other topics in their own videos as well.
I will probably try to limit myself only to physics topics that are heavily mathematical, so that it is in keeping with the channel brand, and like you say, many physics topics are very mathematical and have many computations in them, so there is a lot of material that could be covered.
Thanks so much for subscribing and for your comments! I appreciate all the requests; I am always asking for more requests! I will get working on some of these lessons once I return home from Baltimore, which will be next week. Thanks for watching!
I used to study from indian utube class 11 tutors. I found u easier than them
I'm glad you find my lessons helpful! Thanks so much for watching :)
Nice explanation you really helped me for my examination
Thank you! I am glad it helped!
You are the man.
Thank you!
thanks for amazing concept clearance💗❤️
My pleasure! Thanks a lot for watching!
Can you answer this
1. A set with 5 elements
2. B set with 9 elements
3. B= {5 (10,15) 20}
4, { }
5. D= {4, 8,12, 16, 20, 24, 28}
Is power set and power relation different ?
Ur explanation is too nice
Glad it was clear, thanks for wacthing!
beautiful explanation by experienced teacher
Thanks a lot for watchiing!
Thanks my math teacher teaches us everyday but i dont learn anything because he wants us to answer questions when he has not even taught the lesson
Well I am glad this helped! Thanks for watching!
Nice explanation... Your channel should have got more subscribers.. And it has got a very nice name... Wrath of Math...
Thank you very much! Wrath of Math is growing every day, I’m excited to keep growing the channel and reaching more people, and new lessons are coming very soon. If there are any lessons you’d like to see, let me know!
Could you post more on Fuzzy sets and operations on it especially inference in fuzzy sets...
Also, a small suggestion, kindly increase the speed of your explanation, I understand that you are making videos for every kind of learner, yet it is what I felt.. Just explain the brewed content in the first 1 min and then explain briefly... It would suit people who are skimming for the answers... Also add a nice thumbnail to the videos...
I have not actually heard of fuzzy sets before, I will learn more about them at a later date and do a lesson on them when I feel I can teach it effectively. This will probably not be able to benefit you, but hopefully it will benefit others in the future. Thanks for the recommendation!
I appreciate that you found the explanation a little slow, I have actually not got that feedback before that I can recall. I do try to make my lessons easy for all to understand, but at the same time, I know some people will need more guidance than others if they are less comfortable or familiar with a topic. For this reason, I have done things like split up videos on similar topics (for example, set intersection and union), but have also recorded a separate lesson that goes over both of them in the same lesson a little faster. Doing something like that obviously takes more time, however, and has the downside of covering the same topic(s) twice instead of adding new topics to the channel.
Additionally I think it best, when recording a lesson, to lean towards explaining too much than to risk explaining too little. The reason being that someone who doesn't need that much explanation on a topic can skip ahead and fast forward through explanations and examples they do not need, and still learn from the video, that is, they can take the "excess" explanation out. But if my explanation is not clear enough for someone, they cannot add more explanations and examples into the video in the same way that the other group can take them out.
If you find my explanations a bit too slow, and for anyone else who does, I would say try any combination of the following things.
1) Skip through explanations and examples you do not need. If you are on a computer, the "L" key will fast forward 10 seconds, "K" will pause, and "J" will rewind 10 seconds. To make sure that works correctly, you just have to make sure your browser is "focused" on the page playing the video (this is for PC users, but I am not sure about Mac). To do this, simply click the white space to the left of the video. If you are on mobile, double tapping the left side of the video will rewind 10 seconds, double tapping the right side will fast forward ten seconds. Try using those shortcuts to more easily skip parts of lessons you do not need/want!
2) In all of my lesson descriptions, I try to type out an explanation of the content covered in the video. This can be a bit hard sometimes as math notation cannot always be clearly written in a UA-cam description, but for some lessons you might find simply reading the description to be enough to understand the material. This will almost always be quicker than watching the video. It is there to supplement the video, or replace it, as needed by the viewer.
3) In my experience the quickest way to learn a math concept is to read it. A definition will usually do if it is a field I am familiar enough with. If you are finding video lessons to be more in depth than you need, or to go slower than you would like, maybe you'd be fine just reading the definition of something rather than listening and watching an in depth explanation with examples. For example (there could be some irony here), if you understand the basics of set theory well enough but do not know any set operations, the written definition of union is probably more than enough for you to understand what the union of two sets is. Thus, reading the definition would be a more efficient and preferable method of learning than to watch a video lesson on it. My point being, sometimes just Googling what you want to learn and clicking on one of the first text-based results will be the quickest way to learn something. Especially if it is something you once knew but you need a quick refresher.
I realize this response may be more comprehensive than you expected (again I sense some irony), but I write my comment replies with the expectation that more than just the OP will read them, so should anyone else also find my lessons too slow, I hope these suggestions will either help make my lessons work for them, or help them find a different solution to learning mathematics on their terms. I also want to mention that I don't try to make my lessons slow, per se, I just try to make sure I am in depth, comprehensive, and deliberate with all that I say about the topic at hand.
I appreciate the feedback on the thumbnails. I actually used to use more stylized custom-made thumbnails if you look at my older lessons. The reason I stopped is that it takes a lot of extra time to make those thumbnails, and the end product, while it looks nice, has the weakness of not communicating to the prospective viewer what style of video it is. By that, I mean if you look at the old thumbnails, you would not know that the video is an overhead shot of a hand working on paper on a table. Some people might prefer such style of lessons, while others may not, so I wanted to let the viewer know upfront what type of videos the lessons are. That way, they will have a better idea of what they are getting before they click.
I do like the look of the old thumbnails, however. And I am happy to say that I am going back to a more stylized thumbnail soon that has the lesson title on it and all that, but will also accurately portray the style of the video. So stay tuned for that!
Sorry for the novel, I can really ramble on in these comment sections. Thanks for the feedback!
"I pronounced 'as' in a very stranger manner" pls that made me laugh so hard
Haha, these days if I pronounced something strangely I might just start the whole thing over! This video seemed to go over pretty well though, so I am glad I kept it! Let me know if you ever have any questions!
Awesome sir. Your explanation is very effective
Glad it helped! Thanks for watching!
Thank you! That helped me a lot while solving some coding problems :)
Glad to hear it, thanks for watching!
Awwww... I want you to be ma math teacher in my school 😢
Watching From India 🇮🇳🇮🇳🇮🇳
Thanks for your support!
@@WrathofMath welcome
Man!
you 're awesome.
the best explanation for this point...👍❤
Thanks a lot! Glad it helped!
Thank u for this video sir😊
You're very welcome! Let me know if you have any video requests! :)
Glad that u replied sir....It'll be great if we get some videos related to physics calculations . Just a request sir . 😊
Great video,thanks for the clear explanation
Glad to help, thanks for watching!
Thank you
You are great sir
Thank you! I am glad it helped.
Thanks a lot sir!
You're very welcome!
thank you for this! this is very helpful
Glad it helped, thanks for watching!
How to prove |A|=2^n by mathematical induction method?
You're the best. This helped a lot for my intro to programming math course.
Glad to hear it! Thanks for watching!
Thanks sir ,👌👍✌️👌 👍
You're welcome, thanks for watching!
Very nice explanation sir .
Thank you! Glad it was clear!
Much better than my uni lecture : )
Thank you, glad it was clear!
Thanks for solving my problem ❤️
My pleasure, thanks for watching!
@@WrathofMath most welcome
Hey, thanks for the video it helped a lot! It was extremely easy to follow as well :)
So glad it helped, thanks for watching! :)
Nice
Thanks a lot..... Understood everything.... Thanks a lot👍
Glad to hear it! Thanks for watching!
Wow 🤩🤩very nice😊... Thank you❤ soooo much sir
Thanks a lot for watching! :)
@@WrathofMath thank ❤you soooo much.... U, r hepled in my how work sir 🙂🙂🙂🥰🥰
Why we are using 2
Thank you very much! Extremely appreciated.
No problem, thanks for watching! Let me know if you ever have any video requests!
What is the cardinality of power set P of A union B
Thanks for watching and for the question! Remember that if a set S has cardinality n, then the cardinality of the power set of S is 2^n. With that in mind, A union B is a set. What is cardinality of A union B? From that information, you can figure out the cardinality of the power set! Does that help?
but also some books put 0 are also being one of the elements
nice vid i really undertand
Glad to hear it, thanks for watching!
I completely understand. TY
You’re welcome! Thanks for watching!
Thanks for making it easy to understand 🙂
My pleasure - I do my best! Thanks for watching and let me know if you ever have any questions!
@@WrathofMath um.. hello?!
i have homework, and it says, how many elements are there in power set if; ___
does that mean i count all the elements of all the subsets of the original set?
Thanks for such a video 🤗
I'm from Pakistan 🇵🇰
You're very welcome, I am glad it helped! Thank you for watching! 😊
🤗😍
What if the set A has sets within the set, such that A = {1, {1}, {2}. {{1}, 2} }.
What would the power set look for for those elements that are in sets of themselves already? Would they be in another set?
Sure. In set theory (as usually axiomatized, e.g. ZF or ZFC) all elements are sets. For example, natural numbers are defined as follows: 0 is the empty set, 1 is the set {0} (set whose only element is the empty set), 2 is {0,1}, 3 is {0,1,2}, and so on. Observe that any natural number n is a set with exactly n elements, and it's a set of all numbers less than itself. Also observe that n+1 is obtained by taking the set n, and adding n itself to it as a new element: n+1=n∪{n}.
So under this definition, P(0)={0}, and P(2)={0, {0}, {1}, {0,1}} - you can write these elements again as sets.
buddy what to do if we are asked to find the power of set A (0,0)
Really good job
Thank you from Brazil
You're very welcome! Thanks for watching, and let me know if you have any video requests! I don't have a big audience in Brazil, glad to see you! :)
is the {{ } part of the power set counting?
Because our math teacher given us a question and he said that it need to be 32 power sets and i gave all the answer and there is still 4 missing to complete 32 power sets...
do i need to put in the {{ }so it counts as 1 power set?
I am not sure what you mean by “the {{}”. Two subsets people often miss when constructing the power set of A are the empty set: { }, and the set A itself. If your power set is missing 4 elements (meaning you have missed 4 subsets of the set being considered), then 2 of the elements you are missing could be { } and the set itself, but I could not give you any idea what the other 2 may be. Have I misinterpreted your question? If you have a more general question about subsets/power sets, I can try to answer that, but if you simply are missing two elements in your power set, you will simply have to look closely and track them down. I will say, however, to have you write out, by hand, the power set of a set with cardinality 5, is a massive waste of time.
Reading your question again, I see you said 32 “power sets”, not 32 subsets, so I might have totally misinterpreted your question.
thank you teacher ❤
No problem! Im glad it helped, and thank you for watching!
allright...ready for my test...haha
Glad to hear it! Hope you did well.
yep
basically power set is subsetting all the possibilites of the elements of a set
You helped so much thank uu♥️♥️🤩
I'm glad to hear that, thanks a lot for watching!