Congratulations for 100k, I came here since you only have 10k subs. Back then, i realize that you are a great teacher. Thanks for this high quality and free education :)
I really like the way you emphasized that the statements can be written in symbolic form or words, and that in the final draft it should be written in complete sentences.
it's only logical for us to come here on your video number 824 and subscriber count 100,000. Congratulations prof Penn, we are all so excited to continue watching this channel expanding even further and having it satisying our mathematical passions.
Hi Prof Penn..congratulations on achieving 100k subscribers! ..looking forward to seeing the next Vertex Operator Algebra video..but I see that the playlist has been removed. .hopefully you will continue because I have learnt so much!..thanks for all the time and effort you put into your videos! !..keep well!
Hello Sir. It's so interesting for me that you are gonna make videos on logical topics. I'm gonna start over my academic life and I've just planned to include Discrete Math in my studies (due to my current situation and coronavirus pandemic), I'm managing my studies on my own with no university. I've found your videos very helpful. Because of the contents and also because they make me feel I'm engaged in a programme. Thank you so much.
100k - congratulations!! (Be sure to get your UA-cam 100k sub plaque). Will you be posting your proof writing classes on YT? Thanks for helping me through real analysis.... more to come next semester.
I just saw your "My Favorite Equation" t-shirt. I had to prove that by induction in my real analysis class. We have proven that it is true for all natural numbers.
Can anyone help me understand? When we have two true statements joined by "or" operator, why is the combined statement true? I thought "or" operator worked like only one of the statement is true.
The or operator will result in true if at least one of the statements is true (it may be just one, or it could be both). There is a related operation called the exclusive or (often denoted xor) which will be true if and only if one statement is true and one is false. That seems to be the one you are thinking of.
or statement works just like it would in plain english. it helps if you imagine putting the word "either" at the start of the sentence. 'exclusive or' (aka XOR or sometimes EOR) is what if you get if you imagine putting "but not both" at the end of the sentence
Congrats on the 100k subs. Here's a nice problem from MIT bee that fits the occasion to celebrate with, int[sin101x * (sinx)^99 dx] The solution is: 1/100 [(sinx)^100 * sin100x]
How about the truth value of the following statement? "When preceded by its quotation yields a false statement" when preceded by its quotation yields a false statement. (Gödel, Escher, Bach is such a great book.]
It *was* a good place to stop, as you left out the conventional truth table for "if … then …", which is just as well: P: I didn't subscribe to your channel. (False!) Q: I'm a young healthy immortal billionaire. (Have a guess!) P → Q (True, by the truth table.) So if I hadn't subscribed … Well, it's too late now, so I guess I'll continue watching.
An even function is the one that satisfies f(-x)=f(x). In this case f(x) is not even because f(-x)=2(-x)=-2x=-f(x) which is not equal to f(x). Because this function satisfies the relation f(-x)=-f(x) it means it's what we call an odd function. If you think that f(x)=2x generates only even numbers that is false aswell, because the function's domain is all real numbers. For ex.: f(1.5)=2*1.5=3. 3 is not even. To make it only generate even numbers, you should specify the domain (x is an integer) and that would be true. So this statement reads as true: f(x) is an even number for x is an integer and f(x)=2x. Hope this clarifies things a bit :D
Michael Penn is making a statement. You should change your name to Michael Chalk, as you never use a pen. There, the puns are out of my system. Sorry about all that.
13:25 WE DID IT, FOLKS! 100K SUBS 🎊🎊🎊
Congratulations Michael for that achievement. I’m so happy for you! You deserve that silver button.
🍾🍾🍾!!!!
Yasssss
A very LOGICAL video, just like the logical choice to sub to you. Congrats on 100k.
Congratulations for 100k, I came here since you only have 10k subs. Back then, i realize that you are a great teacher. Thanks for this high quality and free education :)
Jesus Christ, what an absolute gold mine this channel is.
Congrats on your first 100k and let’s hope for many more to come!
I really like the way you emphasized that the statements can be written in symbolic form or words, and that in the final draft it should be written in complete sentences.
Congrats on your 100K subs, professor Michael
let it go to 50M sir
Congrats on your 100K subs, professor Michael :)
Congrats on 100k . And thank for this amazing video 🙏
it's only logical for us to come here on your video number 824 and subscriber count 100,000. Congratulations prof Penn, we are all so excited to continue watching this channel expanding even further and having it satisying our mathematical passions.
Hi Prof Penn..congratulations on achieving 100k subscribers! ..looking forward to seeing the next Vertex Operator Algebra video..but I see that the playlist has been removed. .hopefully you will continue because I have learnt so much!..thanks for all the time and effort you put into your videos! !..keep well!
Gratulation to 100k subs :)
Hello Sir. It's so interesting for me that you are gonna make videos on logical topics.
I'm gonna start over my academic life and I've just planned to include Discrete Math in my studies (due to my current situation and coronavirus pandemic), I'm managing my studies on my own with no university.
I've found your videos very helpful. Because of the contents and also because they make me feel I'm engaged in a programme. Thank you so much.
Well deserved 100K subscribers. You are a born communicator
Congratulation Michael. You 100,000. Go on and go forth with maths.!
Congratulations, it’s a celebration.
100k subscriber 👍👍👍
Can you do some combinatoric problem please?
Anyway, congratulations for 100k sub.
100k - congratulations!! (Be sure to get your UA-cam 100k sub plaque).
Will you be posting your proof writing classes on YT?
Thanks for helping me through real analysis.... more to come next semester.
100k Thank yous👏🏼✨ Question: Is there a reason at 12:55 (~operators)”not even” is used instead of “odd” to describe f(x)=x squared? Anyone? 🤔
I just saw your "My Favorite Equation" t-shirt. I had to prove that by induction in my real analysis class. We have proven that it is true for all natural numbers.
Can anyone help me understand? When we have two true statements joined by "or" operator, why is the combined statement true? I thought "or" operator worked like only one of the statement is true.
The or operator will result in true if at least one of the statements is true (it may be just one, or it could be both).
There is a related operation called the exclusive or (often denoted xor) which will be true if and only if one statement is true and one is false. That seems to be the one you are thinking of.
@@zachary7067 Thank you very much.
or statement works just like it would in plain english. it helps if you imagine putting the word "either" at the start of the sentence. 'exclusive or' (aka XOR or sometimes EOR) is what if you get if you imagine putting "but not both" at the end of the sentence
Congrats on the 100k subs. Here's a nice problem from MIT bee that fits the occasion to celebrate with,
int[sin101x * (sinx)^99 dx]
The solution is: 1/100 [(sinx)^100 * sin100x]
Thank you for this, Mr. Penn!
I'm in a similar course in this semester, so this really helps.
Thank you.
congrats on 100k!!!
Plz can you make a Playlist on logic? Like a full introductory course
This is the most useful math class for programming
How about the truth value of the following statement?
"When preceded by its quotation yields a false statement" when preceded by its quotation yields a false statement.
(Gödel, Escher, Bach is such a great book.]
Congrats!!!
A good exercise is to implement all other operators from nand
All you need
Oooh, do Karnough maps next!
Is this mathematics?
I am in class 11 in India and I have been taught this in computer under topic boolean algebra
3rd
Use us as your practice students!
It *was* a good place to stop, as you left out the conventional truth table for "if … then …", which is just as well:
P: I didn't subscribe to your channel. (False!)
Q: I'm a young healthy immortal billionaire. (Have a guess!)
P → Q (True, by the truth table.)
So if I hadn't subscribed …
Well, it's too late now, so I guess I'll continue watching.
f(x)=2x is even
An even function is the one that satisfies f(-x)=f(x). In this case f(x) is not even because f(-x)=2(-x)=-2x=-f(x) which is not equal to f(x). Because this function satisfies the relation
f(-x)=-f(x) it means it's what we call an odd function. If you think that f(x)=2x generates only even numbers that is false aswell, because the function's domain is all real numbers. For ex.: f(1.5)=2*1.5=3. 3 is not even. To make it only generate even numbers, you should specify the domain (x is an integer) and that would be true. So this statement reads as true: f(x) is an even number for x is an integer and f(x)=2x. Hope this clarifies things a bit :D
Michael Penn is making a statement.
You should change your name to Michael Chalk, as you never use a pen.
There, the puns are out of my system. Sorry about all that.
Can we simplify that to : Michael ~Pen is making a statement (lose 2nd n for data reduction)?🥸
can you bring back back flips lol
first
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What a spam bruh
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I don't believe that JEE advanced problems are tough enough for a proper maths channel such as this one.
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Hello, I found them here: drive.google.com/file/d/1Ng4s_FcVEtWUnmqLa32Sc1OysQr1vZnP/view
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