ความคิดเห็น •

  • @manuelalejandrogarcialaine4726
    @manuelalejandrogarcialaine4726 4 ปีที่แล้ว +2391

    Mathemathician: *gets triggered*
    Physicist: Something bad is about to happen, I can feel it
    Engineer: Seems nothing wrong with this video

    • @pouzivateljutube2995
      @pouzivateljutube2995 4 ปีที่แล้ว +139

      Nope, engineers are outraged about 0:31

    • @rhythmmandal3377
      @rhythmmandal3377 4 ปีที่แล้ว +60

      As mathematician at heart: Reeeeeeeeeeeeee.
      As a professional engineer: I I I'm not triggered really I'm not.

    • @leif1075
      @leif1075 4 ปีที่แล้ว +13

      I'm not sure i get this video..the first example is correct but for the minus sign.and actually if the constant c has a negative sign then minus ngative is positive it is correct..

    • @V-for-Vendetta01
      @V-for-Vendetta01 4 ปีที่แล้ว +2

      @@rhythmmandal3377 literally the same lol

    • @rhythmmandal3377
      @rhythmmandal3377 4 ปีที่แล้ว +1

      @TheSearchingTruth I envy you.

  • @etherealsalad2698
    @etherealsalad2698 4 ปีที่แล้ว +1321

    honestly the pauses in the music made me more uncomfortable than anything on the screen did

    • @PapaFlammy69
      @PapaFlammy69 4 ปีที่แล้ว +139

      haha XD 2nd mission accomplished :'D

    • @neilgerace355
      @neilgerace355 4 ปีที่แล้ว +10

      The Wii did that to people

    • @exedlore
      @exedlore 4 ปีที่แล้ว +16

      @@neilgerace355 *Wii* like to do this to people

    • @etherealsalad2698
      @etherealsalad2698 4 ปีที่แล้ว +6

      @@PapaFlammy69 i had to mute the video in order to get through LOL this is what i get

    • @PapaFlammy69
      @PapaFlammy69 4 ปีที่แล้ว +12

      xDDD

  • @Exachad
    @Exachad 4 ปีที่แล้ว +657

    The e^x integral with respect to e, almost made me puke.

    • @PapaFlammy69
      @PapaFlammy69 4 ปีที่แล้ว +49

      xD

    • @Supremebubble
      @Supremebubble 4 ปีที่แล้ว +29

      Imagine writing f(x) = integral of e^x de in class :D

    • @mskiptr
      @mskiptr 4 ปีที่แล้ว +12

      @@Supremebubble So that f(x)(e) = e^(x+1)/(x+1) + C
      where f : ℝ → (ℝ → ℝ) ?
      Nice, higher order functions!

    • @Vajrapani108
      @Vajrapani108 3 ปีที่แล้ว +2

      Made me puke

    • @ewenlbh
      @ewenlbh 3 ปีที่แล้ว

      @@mskiptr Curryfication!

  • @cauchyscouch6819
    @cauchyscouch6819 4 ปีที่แล้ว +551

    Okay who taught an engineer to use LaTeX?

  • @FGj-xj7rd
    @FGj-xj7rd 4 ปีที่แล้ว +286

    1:36 Man, the dream.

    • @ishansen6661
      @ishansen6661 4 ปีที่แล้ว +30

      Truly!!!!!!!!!! 🤣🤣🤣🤣🤣🤣🤣 Integral would have been much easire then😂😂😂

    • @bgbd182
      @bgbd182 4 ปีที่แล้ว +10

      Maybe that should be the postgrad's dream, after the freshman's and sophomore's

    • @pratikpatil9806
      @pratikpatil9806 3 ปีที่แล้ว +1

      So true

    • @CounterBalance567
      @CounterBalance567 3 ปีที่แล้ว +7

      Just imagine we don’t have to do By Parts... how good will our life be...

    • @Nova-lj4st
      @Nova-lj4st 3 ปีที่แล้ว +4

      What a simpler world that would be.....😌

  • @parthpawar7837
    @parthpawar7837 4 ปีที่แล้ว +386

    Ah yes, 3^(i3) + 1 = 0, beautiful.

    • @fetchstixRHD
      @fetchstixRHD 3 ปีที่แล้ว +3

      It took me so long to notice what the joke was, now I feel like a massive dumbass 🤦‍♀️

    • @tonaxysam
      @tonaxysam 3 ปีที่แล้ว +5

      Ah yes, my favorite equation

    • @user-en3sb3yr9m
      @user-en3sb3yr9m 3 ปีที่แล้ว +6

      @@fetchstixRHD hahahaha that triggers even me,a linguist

    • @kadirdumm8572
      @kadirdumm8572 3 ปีที่แล้ว +2

      Could someone explain

    • @fetchstixRHD
      @fetchstixRHD 3 ปีที่แล้ว +18

      @@kadirdumm8572: 𝑒 and π are "equal to" 3...

  • @Gameboygenius
    @Gameboygenius 4 ปีที่แล้ว +244

    πʲᵉ where j stands for Jens, the mathematical cringe guy, e stands for engineer and π stands for 3.

  • @HAL-oj4jb
    @HAL-oj4jb 4 ปีที่แล้ว +234

    Watching this feels like proving somthing inside a fever dream

  • @thetheoreticalnerd7662
    @thetheoreticalnerd7662 4 ปีที่แล้ว +290

    For the people who don’t get the one at 1:03; the funny symbol is the partial derivative sign and is normally used to differentiate an for one variable in specific, in this case it was x. But since the function f(x) was only in terms of x, then there is no need to take the partial derivative, just differentiate it normally!

    • @SeenAGreatLight
      @SeenAGreatLight 2 ปีที่แล้ว +7

      Oh thank you, I always had trouble with those in college, and I still trip over 'em.

    • @zasharan2
      @zasharan2 ปีที่แล้ว

      That one took me a sec to realize what was wrong

    • @thecoolnewsguy
      @thecoolnewsguy 11 หลายเดือนก่อน +1

      ​@@zasharan2it's not wrong but there's no need to write it in this case

    • @zasharan2
      @zasharan2 11 หลายเดือนก่อน +1

      @@thecoolnewsguy oh yeah i guess that's true lol

    • @choglock4138
      @choglock4138 11 หลายเดือนก่อน

      and written like this, f(x) is just a number, so we're taking the derivative of a number, which makes it even more cursed

  • @muhammedmrtkn
    @muhammedmrtkn 4 ปีที่แล้ว +444

    Mathematician with a sense of humor lol

    • @alexandrubragari1537
      @alexandrubragari1537 4 ปีที่แล้ว +26

      *sense of horror, i'm badly triggered

    • @inyobill
      @inyobill 4 ปีที่แล้ว +9

      Ooooo, I sense a contradiction. A mathematician with a sense of humor, but he's German, and _everybody_ knows Germans have no sense of humor, sooooo, ...

    • @kevintang4932
      @kevintang4932 4 ปีที่แล้ว +4

      unheard of

    • @volkaneyupoglu4282
      @volkaneyupoglu4282 4 ปีที่แล้ว

      matematik kanallı izleyen türk mü

    • @volkaneyupoglu4282
      @volkaneyupoglu4282 4 ปีที่แล้ว

      gel bi sarılalım knk

  • @akshittyagi6482
    @akshittyagi6482 4 ปีที่แล้ว +465

    Seriously what is wrong with you? Can't believe TH-cam allows sh*t like this. Those horrific images have scarred me for life. I dont think I'll ever be able to forget them.

    • @Nylspider
      @Nylspider 4 ปีที่แล้ว +22

      Okay the sarcasm is a bit much but yeah I'm very uncomfortable

    • @whatthehellisthis6245
      @whatthehellisthis6245 4 ปีที่แล้ว +10

      Totally agreed with you

    • @fishyc43sar
      @fishyc43sar 2 ปีที่แล้ว +1

      Did you get out of the trauma yet?

    • @akshittyagi6482
      @akshittyagi6482 2 ปีที่แล้ว +3

      @@fishyc43sar A bit, I still get nightmares from time to time

    • @Fang-tastic306
      @Fang-tastic306 ปีที่แล้ว

      Dude are you out of your trauma yet ?

  • @HakanTheUltimateHoca
    @HakanTheUltimateHoca 4 ปีที่แล้ว +167

    I like when the boundries of the integral are also little integrals

    • @sadchicken5282
      @sadchicken5282 4 ปีที่แล้ว +24

      İ like when the antiderrivative is an integral and the boundries

    • @user-en5vj6vr2u
      @user-en5vj6vr2u 4 ปีที่แล้ว +8

      I like when the components of a vector are all integrals

    • @pleaseenteraname4824
      @pleaseenteraname4824 4 ปีที่แล้ว +5

      No

    • @alberteinstein3612
      @alberteinstein3612 3 ปีที่แล้ว +2

      That would actually be a fun problem, having the limits of integration be definite integrals that you must solve to find out the limits before you can actually integrate the main function

    • @fisch37
      @fisch37 2 ปีที่แล้ว +1

      @@alberteinstein3612 isn't that just three consecutive tasks? It gets more interesting if you can't get a number for one of the limits, however (like with the Pi- & Gammafunction)

  • @user-jn4qk3qi4g
    @user-jn4qk3qi4g 4 ปีที่แล้ว +149

    Engineer: I don’t get the joke...?

    • @sharpfang
      @sharpfang 3 ปีที่แล้ว +2

      You the guy who rubber-stamped building the "skyscraper" with units given in inches, not feet? pi^je + 1 =0 is totally good enough, but 3^i3 wouldn't pass the inspection.

  • @Melanie12047
    @Melanie12047 4 ปีที่แล้ว +119

    0:03 technically this is valid because we are adding a bunch of big sigmas and NOT sums (the big sigma is just a dummy variable)

    • @ishansen6661
      @ishansen6661 4 ปีที่แล้ว +10

      Yep friend I support I also thought the same.

    • @bee_irl
      @bee_irl 4 ปีที่แล้ว +14

      @Lolopopolo Yep, same for using d as integration dummy variable

    • @Supremebubble
      @Supremebubble 4 ปีที่แล้ว +6

      Almost all of them are perfectly valid, just... off.

    • @leomorris420
      @leomorris420 4 ปีที่แล้ว +3

      same goes for 1:10

    • @watch_2011
      @watch_2011 8 หลายเดือนก่อน

      S(n) = sum(1 < sigma < n, sigma)
      = sum(1 < s < n, s)
      = 1 + 2 + ... + (n-1) + n

  • @tomkerruish2982
    @tomkerruish2982 4 ปีที่แล้ว +128

    sqrt(a^2 + b^2) = a + b is perfectly valid... in a field of characteristic 2.

    • @thephysicistcuber175
      @thephysicistcuber175 4 ปีที่แล้ว +17

      Is it true in F1 though?

    • @tomkerruish2982
      @tomkerruish2982 4 ปีที่แล้ว +13

      @@thephysicistcuber175 Vacuously, yes.

    • @thephysicistcuber175
      @thephysicistcuber175 4 ปีที่แล้ว +12

      @@tomkerruish2982 Understandable, have a nice day.

    • @BiscuitZombies
      @BiscuitZombies 4 ปีที่แล้ว +9

      Explain?

    • @tomkerruish2982
      @tomkerruish2982 4 ปีที่แล้ว +23

      @@BiscuitZombies In (college-level) algebra, you encounter various mathematical structures, including one type known as fields. Broadly speaking, a field is a set whose elements can be added, subtracted, multiplied, and divided. Examples are the rationals (Q), the reals (R), and the complex numbers (C). Other examples are given by the integers modulo a prime number p (generally written as F_p). If you add together p copies of any element of F_p, you get 0. This is what is meant by a field having a characteristic of p, or sometimes simply said to have a finite characteristic. (The familiar fields I mentioned earlier - Q, R, C - are said to have characteristic 0. Confusingly, a field of characteristic 0 is not considered to have a finite characteristic. Go figure.) There are other examples of fields having a characteristic of p (infinitely many, in fact), but the characteristic of a field must always be a prime number.
      (Deep breath.) Now that that's out of the way, if a and b are elements of a field of characteristic 2, then (a+b)^2 = (a+b)*(a+b) = a*a + a*b + b*a + b*b = a*a + 0 + b*b = a^2 + b^2, as the middle two terms cancel. (I neglected to mention that the definition of a field includes the usual commutative, associative, and distributive properties of addition and multiplication - something which cannot be assumed in general.) They cancel because, whatever a*b (= b*a) is, adding it to itself results in 0.
      I hope this answers your question. Sorry for its length, but I don't know what level you're at.

  • @justasaiyanfromearth5252
    @justasaiyanfromearth5252 4 ปีที่แล้ว +97

    0:21 Engineers: Yeah, it's beautiful. _Sheds_ _a_ _tear_

  • @benjaminbrady2385
    @benjaminbrady2385 4 ปีที่แล้ว +14

    I've read maths papers which put the dx before the integrand unironically and I still am recovering from AIDS

  • @ianmathwiz7
    @ianmathwiz7 4 ปีที่แล้ว +59

    I'm not sure what's worse: that the Euler identities are wrong, or that e is being used in the exponent.

    • @charlieliu5158
      @charlieliu5158 4 ปีที่แล้ว +13

      pi=e, that's the meme of it.

    • @artemiostriantafyllou7986
      @artemiostriantafyllou7986 4 ปีที่แล้ว +8

      Euler? Who's that bloke? I only know of Relue's identity.

    • @midorithursday
      @midorithursday 4 ปีที่แล้ว +2

      e = 2, pi = 3, so e^pi < pi^e

    • @JayZX2000
      @JayZX2000 4 ปีที่แล้ว +4

      hey π = e = 3

  • @flowerwithamachinegun2692
    @flowerwithamachinegun2692 4 ปีที่แล้ว +41

    Video: Shows integral of e^x
    Me: Ok that's not too bad
    Video: with respect to e
    * heavy breathing *

  • @leomorris420
    @leomorris420 4 ปีที่แล้ว +28

    1:35 if only it were that easy... IF ONLY T_T

  • @gergodenes6360
    @gergodenes6360 4 ปีที่แล้ว +74

    1.) Sum of Sigma from Sigma=1 to n = n(n+1)/2
    2.) Integral of 1 dx = x+c
    3.) (Integral of 1 dx) x = x^2 + c_1 x = x^2/2 - c, this implies c = c_2 x - x^2/2
    4.) Integral of e^x de = x e^(x-1)
    5.) Assuming i is a variable, i = (2n+1) pi j / (3 ln(3)), where n is an integer, and j is the imaginary unit
    7.) Assuming pi is a variable, this has no real solutions. Assuming e is a variable, the solutions are x > pi and 0

    • @PapaFlammy69
      @PapaFlammy69 4 ปีที่แล้ว +4

      eBic

    • @good_guy_SG
      @good_guy_SG ปีที่แล้ว +4

      Shouldn't the 4th one be (e^(x+1))/(x+1)?

    • @shashwatmishra104
      @shashwatmishra104 11 หลายเดือนก่อน

      I am genuinely triggered

    • @stas4017
      @stas4017 11 หลายเดือนก่อน

      ​@@good_guy_SGyes it should :)

    • @stas4017
      @stas4017 11 หลายเดือนก่อน +1

      also (a + b)^p = a^p + b^p for all a and b in the field Fp and pretty sure in any field with charF = p

  • @bzboii
    @bzboii 4 ปีที่แล้ว +13

    minus C really did something to my brain, triggered all the way back from AP calc when we had "PLUS C" drilled into our pubescent craniums

  • @mazdoctorxd
    @mazdoctorxd 4 ปีที่แล้ว +61

    This is some Keter class cognito hazard right here😂😂😂

    • @alperakyuz9702
      @alperakyuz9702 4 ปีที่แล้ว +3

      I need clearance to use class D amnestics on myself sir.

    • @mazdoctorxd
      @mazdoctorxd 4 ปีที่แล้ว +2

      alper akyuz permission granted, go ahead😂😂😂

    • @alperakyuz9702
      @alperakyuz9702 4 ปีที่แล้ว +2

      @@mazdoctorxd permission granted for what sir?

    • @mazdoctorxd
      @mazdoctorxd 4 ปีที่แล้ว +3

      alper akyuz report to the site director for debriefing... it’s better you ask no more regarding this😂😂😂

    • @-minushyphen1two379
      @-minushyphen1two379 4 ปีที่แล้ว +3

      Dr. [REDACTED] will not be pleased with this

  • @sidchuownz
    @sidchuownz 4 ปีที่แล้ว +21

    I tutor high schoolers in math. Sqrt[a^2+b^2]=a+b actually triggers me so much, especially students who are taking calculus class.

  • @jamiewalker329
    @jamiewalker329 4 ปีที่แล้ว +52

    0:02 Seems perfectly legitimate. I would encourage the use the lower case sigma, or better still, the greek letter pi, for the summation index.
    0:27 I think this is a really important detail to show students learning functions - they become too attached to the label given to the member of the domain. if f(x) = 3x + 1 then f(y) = 3y +1 and f(!) = 3! + 1 = 7 and so on. So it doesn't really matter on the symbol used to denote the argument - what an excellent way to demonstrate this by using a different typeface for x.
    0:31 Student is clearly mathematically capable, but has written the 9's backwards. Clearly 9^pi < pi^9
    0:38 I would suggest to the reader to raise both sides to the power of four to verify this for himself.

    • @hyperstone9
      @hyperstone9 4 ปีที่แล้ว +28

      f(!) = 7
      I'm dying

    • @robertr5634
      @robertr5634 3 ปีที่แล้ว +4

      0:27 I think that the equation is not written in italics. Many people get triggered by this

    • @axuwu6939
      @axuwu6939 ปีที่แล้ว +1

      Your point about i = -1 is giving me more of an aneurism than the entire video combined, because you’re not wrong. You’re not wrong and it hurts.

    • @spoon_s3
      @spoon_s3 10 หลายเดือนก่อน

      Omg you said “himself” how awful you are (jk)

  • @SeenAGreatLight
    @SeenAGreatLight 2 ปีที่แล้ว +8

    I'm a recently graduated engineer, and what terrifies me most is...
    *some of the integrals looked right to me.*

  • @lppunto
    @lppunto 4 ปีที่แล้ว +42

    0:12 I mean this is perfectly correct, I could even see it used unironically (in physics especially)

    • @user_2793
      @user_2793 2 ปีที่แล้ว +4

      Yeah I always do this when there are bra-kets within the integral

  • @diegoberastain3612
    @diegoberastain3612 4 ปีที่แล้ว +8

    I don't understand this video, I'll return in a year to feel the pain.

  • @nnniv
    @nnniv 4 ปีที่แล้ว +26

    What the heck Papa!?
    My brain hurts after watching this

  • @user_2793
    @user_2793 4 ปีที่แล้ว +10

    I felt physical cringe at 1:11

  • @unnamedC
    @unnamedC 4 ปีที่แล้ว +11

    Why is 0:42 in this video when a and b are obviously elements of a field of characteristic 2?

  • @garvett6660
    @garvett6660 4 ปีที่แล้ว +30

    Finally, a video with some rigorous math!

  • @dhruvmehtacaesium
    @dhruvmehtacaesium 4 ปีที่แล้ว +3

    This video needs to be age-restricted, can't let the kids see those scary integrals!

  • @neekonsaadat2532
    @neekonsaadat2532 4 ปีที่แล้ว +14

    You know you're a nerd when you're rolling on the floor because of this magic :)

  • @EminTuralic
    @EminTuralic 4 ปีที่แล้ว +24

    Man the one with e^x de got me laughing
    Also the the one where x isn't italic in f(x)...

  • @nakulgoyal2879
    @nakulgoyal2879 4 ปีที่แล้ว +5

    1:14 what an absolute (intellectual) madlad

  • @Rougarou99
    @Rougarou99 4 ปีที่แล้ว +36

    This makes me more uncomfortable than my liberal arts classes.

  • @kingarth0r
    @kingarth0r 4 ปีที่แล้ว +8

    That second one we use in physics a lot.

    • @Gameboygenius
      @Gameboygenius 4 ปีที่แล้ว +2

      ∫dx? It looks fine at first glance, but it's implied that you WILL forget the +C.

  • @helloitsme7553
    @helloitsme7553 4 ปีที่แล้ว +8

    0:12 is technically correct but we mathematicians are way too used to certain notation

    • @sttlok
      @sttlok 2 ปีที่แล้ว

      But shouldn't there be parentheses to indicate that x is part of the integral too?

    • @Diaming787
      @Diaming787 ปีที่แล้ว

      @@sttlok No, because it's only the product of dx and x. No need parentheses.

    • @sttlok
      @sttlok ปีที่แล้ว

      @@Diaming787 Ik that now haha

    • @Diaming787
      @Diaming787 ปีที่แล้ว

      I prefer that actually, because the integral dx behaves more like an operator acting on the left side of where the integrand would go.

    • @sttlok
      @sttlok ปีที่แล้ว

      @@Diaming787 I hope you never write a textbook haha

  • @exedlore
    @exedlore 4 ปีที่แล้ว +9

    Came for the discomfort, stayed for the humor - and the *WII* music just made it better. Had a good laugh yesternight while I took a break from studying! 😂😊

  • @abhisekpal5026
    @abhisekpal5026 2 ปีที่แล้ว +3

    Integration of d dd was hilarious 😂

  • @JoonasD6
    @JoonasD6 4 ปีที่แล้ว +14

    Nope, made me 50 % giggle my ass off and 50 % just "yeah, that's legit and I could give this to my students" (or criticizing that if we leave the realm of Riemann integrals, some could make sense).
    I know I'm going one step too far commenting to a joke, but, yo, flammy! 0:18 should have cursive *e*. Unless you're doing that deliberately in which case I applaud for anyone making a typographical joke.
    Also: 0:43 Isn't that supposed to evaluate to \sqrt{E/m}??

  • @alphastar5626
    @alphastar5626 ปีที่แล้ว +3

    1:16 funny thing is that "je" in french means "i" in english (as "myself")

  • @UrasSomer
    @UrasSomer 4 ปีที่แล้ว +12

    Why did I laugh so hard at this monstrocity

  • @benni_thien
    @benni_thien 4 ปีที่แล้ว +5

    1:26 I didn't expect something like this. xD

  • @IshanBanerjee
    @IshanBanerjee 4 ปีที่แล้ว +30

    1:11, after seeing it I shall not have a good night sleep tonight 😶

  • @0cgw
    @0cgw 4 ปีที่แล้ว +4

    The purpose of writing down equations is to communicate precise mathematical relationships between the quantities in the equation. For this reason, certain conventions have arisen over the years to aid good communication. Different publishers will have their own advice on these. What I present below is one such set of conventions.
    Quantities that do not vary are written in an upright typeface, so, for instance, numerical values, 0,1,2, e=2.712.., π=3.1415..., i=√(-1) are all in an upright font. The standard functions of mathematics do not change and so, sin, cos, tan, exp, log, Ei, J₀ would all be upright. Anything that varies is usually written in a slanted or italic font, so for the Bessel function Jₙ, the J would be upright, but the n would be slanted. The variable in a sum of integral varies and so should be in italics.
    The idea is to facilitate accurate communication. The good mathematician will try to avoid misundertandings and ambiguities in his or her writings.
    Let's take a look at the examples in the video:
    0:03 The summation sign has been used instead of a slanted capital sigma, as such it invites confusion, the same symbol (summation, which is an upright symbol) is being used as a substitute for big sigma. It is good advice to change the typeface at least, and (better) change the name of the dummy variable.
    0:06 Potentially okay (depending on context). If x is a differential form (or a measure) then this is okay. If it is not, then it likely to be a misformed integral, and hence incorrect mathematics.
    0:08 Better to use an upright d for the differential as this is a standard operator of mathematics. The spacing a little bit cramped.
    0:12 Nothing wrong with this, except the visual spacing could be tweaked. Especially for multiple integrals writing the measure next to the integral sign is a very useful thing to do as then it visually ties the limits on the integral to the integration variable. Having -c rather then +c is absolutely fine, especially if it is known (or guessed) that with a minus sign then c is positive. It can aid explanation.
    017: Strictly speaking this is okay, but the name of integration variable (which is correctly in italics) might lead to confusion, so it is best to change it in the interests of good communication. For the same reason, it is unwise to use "i" as an index of a sum in a complex variable problem, or the use "o" ever (it is too easily confused with 0, especially if hand-written).
    0:21: It's often difficult to write accurate mathematics in a text document.
    0:26: The upright typeface is odd here. I'm not aware of any standard mathematical function called f or x, though perhaps they exist in certain specialized areas.
    0:32: Typeface are wrong, as is the inequality.
    0:36: See 0:21.
    0:42: This is okay. It is written as an equation (that constrains a and b), not an identity, so it is as fine as writing a+b=0.
    0:46: No problem. If phi is the golden ratio, then it would be in an upright font, but that may not be the intention.
    0:51: Upright fonts for the standard functions.
    0:56: Not got a problem with this (other than using j instead of i).
    1:03: No problem, sometimes it is important to be clear about the variables a function should be regarded as being in terms of. Especially true for something like thermodynamics. Apply your notation in a way that conveys your meaning most clearly and accurately.
    1:11: The integration variable varies and so should be in italic type.
    1:16: Untrue (if I interpret the symbols correctly).
    1:20: Can only imagine this might be used in a table for instance, where for terms that might be there in other entries are missing in this one, and the author wanted to draw attention to the fact. Difficult to justify (!) otherwise.
    1:25: Okay... but you'd better define the thing, as it doesn't make sense as a field.
    1:31: An old notation for the second derivative was ddf/dx², which makes sense. This particular expression is ill-formed.
    1:35: Not a problem, but it is an equation, not an identity (e.g., it holds if either f or g identically zero up to a set of measure zero).

  • @toasticide816
    @toasticide816 4 ปีที่แล้ว +8

    My day is ruined and I shall now proceed to stare at a blank screen while I process what I saw. I need to follow you on twitter now

  • @haziqthebiohazard3661
    @haziqthebiohazard3661 4 ปีที่แล้ว +17

    1:05 y-you mean jmagjnary unjt
    or or is that the joke
    to be triggered at that ._.

    • @ishansen6661
      @ishansen6661 4 ปีที่แล้ว +3

      Well that "quaternions" search them on wiki and you know why he wrote "jmagjnary unit" 🤣🤣

    • @tomkerruish2982
      @tomkerruish2982 4 ปีที่แล้ว +1

      @@ishansen6661 Also, electrical engineers use j, since i is already used for current. Also also, I've seen Papa Flammy use J for the 2×2 matrix {{0,1},{-1,0}}, since I is already taken for the identity matrix.

  • @Manuel-pd9kf
    @Manuel-pd9kf 4 ปีที่แล้ว +15

    Amazing
    I want to die now.

  • @noway2831
    @noway2831 4 ปีที่แล้ว +6

    How could one find the inverse of an expression involving a definite integral expression? For example, what's the inverse of the gamma function?

    • @angelmendez-rivera351
      @angelmendez-rivera351 4 ปีที่แล้ว +1

      The Gamma function is not bijective, so it is not invertible. However, it is conceivable that a right-inverse may exist, just not a left-inverse.
      With that said, if you restrict yourself to a suitable subdomain of the function, then you can invert the function on such a domain. In this case, you would probably want to use the Lagrange inversion theorem accordingly.

    • @0cgw
      @0cgw 4 ปีที่แล้ว

      By the inverse function theorem, locally one can invert the gamma function about any point in the complex plane where the derivative does not vanish. There is no global inverse however since the derivative of the gamma function has a saddle point between 1 and 2.

  • @willofthewisps697
    @willofthewisps697 3 ปีที่แล้ว +1

    The only reason why I'm uncomfortable is because i don't understand any of these.

  • @mastershooter64
    @mastershooter64 4 ปีที่แล้ว +5

    the first 2 are correct right? i don't see any problem

  • @pleaseenteraname4824
    @pleaseenteraname4824 4 ปีที่แล้ว +3

    1:02 is a calc 1 student who once saw a video on multivariable calculus, but has no idea what partial derivatives are and just wants to flex

  • @CrabSpy
    @CrabSpy 4 ปีที่แล้ว +4

    Me, an electrical engineer: The imaginary unit is j, i is the symbol for current.

    • @pritivarshney2128
      @pritivarshney2128 4 ปีที่แล้ว

      FYI, j is the symbol for current density. It is used in Maxwell's Equation 4 (divergence × B) = mu_0 J + mu_0 epsilon_0 dE/dt) and in ohm's law (E = j(sigma)).

    • @CrabSpy
      @CrabSpy 4 ปีที่แล้ว

      @@pritivarshney2128 That's priti funny my dude

    • @pritivarshney2128
      @pritivarshney2128 4 ปีที่แล้ว

      @@CrabSpy Yep.

  • @MrRyanroberson1
    @MrRyanroberson1 4 ปีที่แล้ว +2

    you should totally do a video on 0:42, it's such a neat little graph, a lot like your logarithmic badboy series log(a+b) = log(a)+log(b)

  • @lukastefanac234
    @lukastefanac234 4 ปีที่แล้ว +1

    This hits home.

  • @martonvaitkus632
    @martonvaitkus632 3 ปีที่แล้ว

    Writing the differentials after the integral sign is pretty much standard in physics.

  • @dozzco2827
    @dozzco2827 4 ปีที่แล้ว +28

    Me: Haha oh Papa you're so damn funny
    Me Inside: Rigourously Screaming

    • @PapaFlammy69
      @PapaFlammy69 4 ปีที่แล้ว +2

      reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

  • @devanshsharma8638
    @devanshsharma8638 4 ปีที่แล้ว

    Just wanted to ask a problem what is differentiation of sinx with respect to dsinx

  • @diegoberastain3612
    @diegoberastain3612 4 ปีที่แล้ว +1

    I don't understand this, i'll be back in a year to feel the pain

  • @kashafhossain2040
    @kashafhossain2040 4 ปีที่แล้ว +1

    As an engineering student, this made me uncomfy as hell aaaaaa

  • @turquoisejpg5671
    @turquoisejpg5671 4 ปีที่แล้ว +1

    Just looks like my normal working whenever I try to make a derivation

  • @Train_Sounds
    @Train_Sounds 4 ปีที่แล้ว +3

    I don‘t think I want to see it after that triggering and incredibly uncomfortable day lol

  • @alicebobson2868
    @alicebobson2868 4 ปีที่แล้ว +6

    is this what hell looks like??

    • @PapaFlammy69
      @PapaFlammy69 4 ปีที่แล้ว +2

      hell isn't even half that bad ngl

    • @neilgerace355
      @neilgerace355 4 ปีที่แล้ว +1

      I don't know what it looks like, but it does sound like the Mii Plaza

  • @evanbond5164
    @evanbond5164 3 ปีที่แล้ว +1

    I would be upset of I knew anything beyond algebra

  • @alexnaselli
    @alexnaselli 2 ปีที่แล้ว

    I, an engineer :" dunno, seems fair to me"

  • @nicogutholz9399
    @nicogutholz9399 4 ปีที่แล้ว +1

    Well, seems like nightmares are my early birthday present this year...

  • @kademiller
    @kademiller 4 ปีที่แล้ว

    just woke up in my time zone-day can only get better from here right ?

  • @aryamangoel764
    @aryamangoel764 4 ปีที่แล้ว +2

    It is said that there are angels and demons, and then there's Papa Flammy in Mathematics.
    Kudos! 😂

  • @JoeyFaller
    @JoeyFaller 4 ปีที่แล้ว

    Good combination of bad maths, abuse of notation, and just correct maths that will trigger any warm blooded human

  • @jihad456
    @jihad456 3 ปีที่แล้ว +1

    Great that I have seen this before getting admission into high school. Now I won't feel triggered in the future.

  • @Shlungoidwungus
    @Shlungoidwungus 4 ปีที่แล้ว

    That single element field hurt

  • @AnatoArchives
    @AnatoArchives 4 ปีที่แล้ว +1

    I showed this to my math teacher. She became a Physicist

  • @ianweckhorst3200
    @ianweckhorst3200 6 หลายเดือนก่อน

    I genuinely want to see some of these

  • @skylardeslypere9909
    @skylardeslypere9909 4 ปีที่แล้ว +3

    Ngl 3^(3i) and π^(ie) are both pretty close to -1

    • @julianw1010
      @julianw1010 4 ปีที่แล้ว

      of course, since pi=e=3

  • @sohambhattacharjee951
    @sohambhattacharjee951 3 ปีที่แล้ว

    Its like one of those videos that kill you within 3 days of watching it...only faster .

  • @dramwertz4833
    @dramwertz4833 4 ปีที่แล้ว +3

    Im not sure if i should laugh, cry out in pain or rage in anger XD

  • @vioco
    @vioco 11 หลายเดือนก่อน

    The thumbnail is actually how our elektromagnetics teachers notates sometimes.

  • @jeffreyhuang3249
    @jeffreyhuang3249 3 ปีที่แล้ว

    Ngl that -c is what I’m gonna use the next time a test rolls around

  • @isuryashashank
    @isuryashashank 3 ปีที่แล้ว

    Mathematicians after this: my life has been a lie. I will die

  • @CounterBalance567
    @CounterBalance567 3 ปีที่แล้ว +1

    Bro the integral of d dd had me laughing so hard

  • @ProjectBetterment
    @ProjectBetterment 4 ปีที่แล้ว

    My Wolfram Mathematica just crashed again, thanks to you, papa flammy.

  • @Lorenzo_der_Ritter
    @Lorenzo_der_Ritter 6 หลายเดือนก่อน

    I'm a 12th grade student in Germany, and a few months ago, when we had integrals in math, there was an exercise like at 0:08 in our book. Everyone was completely confused (including my teacher), but later I got to realise that the "dx" is not just a convention but actually means a multiplication by dx. So it actually does make sense, and it's equal to x + C

  • @manojkhatri6537
    @manojkhatri6537 4 ปีที่แล้ว +1

    What's this font? Is there any latex package for it?

    • @PapaFlammy69
      @PapaFlammy69 4 ปีที่แล้ว

      It is latex font lol

  • @futznation4230
    @futznation4230 4 ปีที่แล้ว +1

    I was not triggered for some of them at the starting but soon began to feel the extreme urge to curse

  • @Random12260
    @Random12260 4 ปีที่แล้ว +1

    I would argue the most beautiful formula is 21^2 - 21 = 420

  • @billzhuo8413
    @billzhuo8413 4 ปีที่แล้ว +3

    These are basically all my freshman's dreams.

  • @miammissophiapetrillo
    @miammissophiapetrillo 4 ปีที่แล้ว

    There is no lawful option but capital punishment for this kind of heinous crime.

  • @yurigouveawagner9432
    @yurigouveawagner9432 3 ปีที่แล้ว

    making sqrt(a² + b²) = a + b feels like I unplugged a usb drive without ejecting it first

  • @EnergiaRocket
    @EnergiaRocket 3 ปีที่แล้ว

    Me, an engineer: the music is very uncomfortable yes

  • @karangupta4978
    @karangupta4978 4 ปีที่แล้ว +1

    This is the same feeling when I play antichess.

  • @johnclever8813
    @johnclever8813 4 ปีที่แล้ว +5

    oh dear lord no
    EDIT: Yay, a heart! It’s three in the morning where I live, but I want to thank you nonetheless
    EDIT: what editing takes it away!?!? Noooooooo come backkkk

  • @Himarim
    @Himarim 4 ปีที่แล้ว

    I never felt so tortured in my entire life

  • @dedicatetv1425
    @dedicatetv1425 4 ปีที่แล้ว +1

    I kind of wanna hit my head against the wall to delete this video out of my memories.

  • @horsen_around
    @horsen_around 4 ปีที่แล้ว +2

    Damn, this Jens Fehlau guy is a savage!

  • @Noscope-wg3dt
    @Noscope-wg3dt 4 ปีที่แล้ว +2

    Jimagulinary unit 😡

  • @Altazor-fh9of
    @Altazor-fh9of 3 ปีที่แล้ว +1

    Most people consider euler's identity to be the most beautiful equation in mathematics:
    23^i + 1 ≈ 0

  • @einsteingonzalez4336
    @einsteingonzalez4336 4 ปีที่แล้ว

    OMG the most insane math video eveerrr!
    Thank you Mr Fehlau!