The fact those series weren't giving log,exp,trig or finite polymials made me think there weren't pretty. Studying them presently just make me understand that Euler too may be discovered the exp function as a series before giving it that cool notation. For those who haven't done advanced maths, those special functions usually look not natural. But when we see that a function is born as a series which is solution to a differential equation, all of them there for become natural. For me the most terrifying of all is the hypergeometric function that has 4 inputs. 😂
It feels weird to think about the idea that functions born as a series for diff eqs also are born as mappings of sets with certain properties between eachother
Wow ! My first 3 favourite functions (gamma, beta, Bessel) used in a single video. But if my 4th function (zeta) involved it would have been more satisfied
Grazie per u video informativu 😍👏.....Pensu chì BTC è ETH sò più prubabile di ritruvà a resistenza à l'upside è poi vai più bassu. Ma cum'è sempre, a situazione cambia ogni ghjornu è tuttu ciò chì pudemu fà hè di cummerciu in modu rispunsevule, monitorizà i mercati è rivalutà e nostre strategie spessu. Vogliu ringrazià Martin Davis Trader per avè datu l'educazione criptografica cum'è aghju guadagnatu comodamente 9,34 BTC .....
Aghju intesu parlà di Martin Davis pocu fà nantu à una altra piattaforma, micca quì in RUclips. Pls, cumu possu cuntattà ellu? Sò seriamente stancu di perde u cummerciu di soldi 😰
Ciò chì m'impressiona più di Martin Davis hè quantu spiega u cuncettu basu di vincere prima di permette di utilizà i so signali di cummerciale. Questu viaghja assai per assicurà e cummerci vincenti......👍
Extremely beautiful as is your habit! You introduced two special functions I have no idea of... Food for thought and further digging for me... That's intriguing! Thanks! I think you have some discord between your mind on the one hand and your tongue and hands on the other, they are competing and jumping ahead of each other 😂😂 At 3:25 you missed the one half before the Beta function then at 6:15 you corrected it inadvertently and later at 15:25 you had the same conflict, which you realised and corrected immediately... No harm done. I really enjoy your videos Kamal jan. Keep up with the good work!
@@maths_505 I dosed off while watching After I woke up i continued without even brushing just to question which multiverse I'm in after seeing this 16:04 .For one minute I just stared at the abyss .And asked what??, just to find out it's old school arithmetic error (which initially I thought I did wrong due to aftermath of sleep )
Hi,
"terribly sorry about that" : 2:22 , 5:13 , 10:52 , 12:34 , 14:46 , 16:47 , 17:31 ,
"ok, cool" : 2:30 , 3:21 , 5:29 , 7:20 , 10:17 , 12:50 .
The fact those series weren't giving log,exp,trig or finite polymials made me think there weren't pretty. Studying them presently just make me understand that Euler too may be discovered the exp function as a series before giving it that cool notation. For those who haven't done advanced maths, those special functions usually look not natural. But when we see that a function is born as a series which is solution to a differential equation, all of them there for become natural. For me the most terrifying of all is the hypergeometric function that has 4 inputs. 😂
It feels weird to think about the idea that functions born as a series for diff eqs also are born as mappings of sets with certain properties between eachother
Very violent result. It's cool those monstrous series expansion are denoted with pretty inoffensive letters.
@@leroyzack265 😂
Wow ! My first 3 favourite functions (gamma, beta, Bessel) used in a single video. But if my 4th function (zeta) involved it would have been more satisfied
That would have madr it complex for sure 😉
bro just pulls out random greek letter functions and expects us to decipher what it means
Shout-out to all the Balrogs watching from the deep places of the earth
I watch from the depths
Love them nested functions! Respect. 👊
Excellent, Akhy, very nice integral🙂
Lovely result , i hope for more videos .
Grazie per u video informativu 😍👏.....Pensu chì BTC è ETH sò più prubabile di ritruvà a resistenza à l'upside è poi vai più bassu. Ma cum'è sempre, a situazione cambia ogni ghjornu è tuttu ciò chì pudemu fà hè di cummerciu in modu rispunsevule, monitorizà i mercati è rivalutà e nostre strategie spessu. Vogliu ringrazià Martin Davis Trader per avè datu l'educazione criptografica cum'è aghju guadagnatu comodamente 9,34 BTC .....
Aghju intesu parlà di Martin Davis pocu fà nantu à una altra piattaforma, micca quì in RUclips. Pls, cumu possu cuntattà ellu? Sò seriamente stancu di perde u cummerciu di soldi 😰
Telegram hè attivu;( 🚀🚀
@MartinDtrader✊🤙
Grazie per l'infurmazioni... Mi cuntatteraghju u più prestu pussibule. Vogliu ancu avè una bona cunniscenza è piantà di perde.
Ciò chì m'impressiona più di Martin Davis hè quantu spiega u cuncettu basu di vincere prima di permette di utilizà i so signali di cummerciale. Questu viaghja assai per assicurà e cummerci vincenti......👍
trigg snacc
Excellent
i respectfully disagree
well that took a while but it was worth it!
Indeed
I thought u will solve the two summation into a cool constant 😅
Visto così,penso che avrò bisogno di 2/3 giorni per la soluzione...ma ci riuscirò
epic
Could you possibly use the complex trig functions for this out of curiosity?
That could work
@@maths_505 I’m going to kiss you baby girl 😘🎻
@@historicallyaesthetic2899💀
wasn't very relevant to my current calculus course but i seemed to enjoy it as much as i could o7
Welcome to the channel bro
Meanwhile me who got (pi-2+2cos1+2sin1) ....
Extremely beautiful as is your habit! You introduced two special functions I have no idea of... Food for thought and further digging for me... That's intriguing! Thanks!
I think you have some discord between your mind on the one hand and your tongue and hands on the other, they are competing and jumping ahead of each other 😂😂 At 3:25 you missed the one half before the Beta function then at 6:15 you corrected it inadvertently and later at 15:25 you had the same conflict, which you realised and corrected immediately... No harm done.
I really enjoy your videos Kamal jan. Keep up with the good work!
Maybe it would behave a little better if you integrated from 0 to 2pi
hi bro
Hey mate
@@maths_505 I dosed off while watching
After I woke up i continued without even brushing just to question which multiverse I'm in after seeing this 16:04 .For one minute I just stared at the abyss .And asked what??, just to find out it's old school arithmetic error (which initially I thought I did wrong due to aftermath of sleep )