The Effects of Tsundere Explained via Trigonometrical Graphs

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I am such a genius. With easy math, I can show the effects a tsundere female has on a target male, in comparison to that of a normal female. For further analysis, I even included the effect of the tsundere on a bystander male.

Behold the great graph of tsundereness!

If you don’t understand such a simple diagram, you must either stupid or an artist. If you’re the latter, let me teach you this fancy thing you will never have learnt in school called math.

See, we have a sine curve. It starts at 0, when the x-axis of the graph (labeled as time in this case) is 0. Then it oscillates between 1 and -1 in a smooth series of crests and troughs. Sounds familiar right? Sounds like a TSUNDERE! Just like how everyone’s favourite anime character type swings between angry/violent and lovely. But the thing is, most tsunderes are far more polar than a 1 and -1, so adding a 3 in front of the sinx curve increases the amplitude by a factor of 3. This is in stark contrast to a NORMAL girl (there are no normal girls in anime, but let’s just assume normal as someone without insane mood swings). A normal girl has a graph of y=1, which is a straight, horizontal line. It does not ever go into the negative regions and is really steady.

I forget to mention that here we use Happiness as the y axis.

So, in other words, a normal girl will never give you as much happiness as a tsundere in terms of the absolute greatest at one time. See how the tsundere graph reaches 3, while the normal graph is permanently at 1.The catch is that a tsundere also has just as many -3s as 3s. For people who have tasted the tsundere not as an onlooker but in the actual relationship, he will find himself suffering a lot yet really sticking with her for the +3 moments. Such a person might find a normal girl boring as the happiness never reaches that high a level.

Our 3rd graph shows an onlooker guy viewing a tsundere girl wreaking destruction onto a hapless male. This is like most otakus who watch shows like Tsuyokiss or even Haruhi. To onlookers, they do not suffer the wrath of the tsundere, so to them, even the -3s are just as nice, interesting and sweet as the 3s. Haruhi making Kyon carry stuff and do work is sweet right? Since we aren’t the ones doing the work. So their graph is an absolute |3sinx|, where the negative sections are made positive as well. This is why tsunderes are great to watch in shows.

Wow this is the power of math!!

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34 Responses to “The Effects of Tsundere Explained via Trigonometrical Graphs”  

  1. 1 Crest 49 comments

    You are an artist too! Such beautiful art with brilliant math, that’s art itself!

  2. 2 lametastic 3 comments

    It’s SCIENCE!!!

    No, actually, it’s MATHS!!! And Maths are an art.

  3. 3 jinyamato 110 comments

    this actually makes sense!!!! Its an art to discuss such a topic with beatiful maths… so are you contridicting yourself

    on another note, no wonder i like tsunderes, this all makes sense

  4. 4 Ez 3 comments

    LOL!

    Nice one man! That graph totally rocks. Tsundere Ftw! xD

  5. 5 Kresnik 33 comments

    I don’t think that tsundere wave is y = C*Sin(x), where C is the constant for mood swings is complete. Instead, it should be y = C*Sin(x) k, with 1 &lt k &lt C, where k = normalcy rate. That way, the happiness will always greater than the suffering.

    Tsundere is a winner, but have somebody seen one in real life?

  6. 6 Hinano 112 comments

    Nice graph lol

  7. 7 nutcase23 35 comments

    “Math for Otakus”

    Get it now!

  8. 8 double 115 comments

    10-year series for Otakus, anyone?

  9. 9 jpmeyer 100 comments

    I haven’t had calc in like 6 years, but it would appear to me that tsundere is WORSE for happiness than normal:

    The integral of y=1 is C
    Meanwhile, the integral of C sinX is -cosX C

    Unless you have a pretty big C for your second integral, normal is going to give you a higher net happiness.

  10. 10 jpmeyer 100 comments

    Crap I wish I could edit my posts. I mean “-cosX C”

  11. 11 jpmeyer 100 comments

    Or I didn’t forget the plus sign but rather the HTML is eating it somehow.

  12. 12 Kabitzin 94 comments

    -cos X &43; C perhaps?

  13. 13 Kabitzin 94 comments

    Wow, no character entities allowed either, that is harsh.

  14. 14 LianYL 781 comments

    And when I posted Tsunderes with phasors, no one understood.

  15. 15 PS 20 comments

    you read XKCD don’t you?

  16. 16 A Day Without Me 5 comments

    All this math is making my head hurt ;_; I’m just a social science major

  17. 17 JRaiKetchum 2 comments

    LOL! That’s great. Makes perfect sense. Now, can we get the quantum mechanical treatment to solve for the Tsunderic energy? XD

    -Rai

  18. 18 Martin 8 comments

    Combining Anime Blog Tsundere Theory with Anime Blog graph drawing? Absolute win! I mean, explaining why tsunderes are so damned entertaining with words is tough and long winded…and you achieve it in one neat graph. I have to say I’m seriously impressed.

    Well played, tj. ^_^

  19. 19 IcyStorm 17 comments

    What the hell, a post with graphs that isn’t by LK.

    In any case, it does make sense, even though overall the net happiness, like jpmeyer said, of me (or anyone) with a tsundere would be lower… but hey, we live for life’s highs! Makes for more excitement.

  20. 20 Tsubaki 518 comments

    Justifying princess’s attitude towards you eh? Lol.

  21. 21 bluemist 8 comments

    For someone who “tried” to date a tsundere, there is an alternative net effect for me where “y = |9000sinx|”

    Categorically speaking:
    “Your resistance only makes my ***** harder!”

  22. 22 dKiWi 73 comments

    Lol the tj_han Sinusoidal Tsundere model! But anyway, I want to suggest some slight changes to the model to allow it to apply to more tsunderes and normal girls:

    Instead of y = 1 for normal girls, how about y = n where n is a positive constant not exceeding 1.

    And instead of y = 3 sinx, how about y = t sinx, where t is a positive constant more or equal to 3t.

    Or to make the case even more general, we can use y = nt sinx, where t is a positive constant more than 1.

    If we use y = n and y = nt sinx,

    n = normality constant i.e. how normal/boring a normal girl is. Since its a positive constant, it can go below 1 and above 0.
    t = tsundere constant i.e. how tsundere a tsundere is in comparison to the normal girl. t can be any positive constant and extend even to 9000, to calibrate the graph according to how tsundere a girl is.

    And I’ve examined the graph a few times but still don’t understand why jpmeyer wants to find the area under the curve by integrating it. What the heck do you get when you integrate happiness anyway? XD

  23. 23 Helix 71 comments

    You forgot to mention that average happiness you get from a tsundere (amplitude / root 2) is higher than the average happiness you get from a normal girl (ie 1).

    I think.

  24. 24 jacobian 4 comments

    @jpmeyer:
    You integrated the wrong function.

    @tjhan:
    Been studying about rectifiers, I’m guessing?

  25. 25 Sir Meh 4 comments

    I am a maths student and I approve of this graph.

    Heh. No really, you just started something incredible.

  26. 26 Nekonron 12 comments

    Onlookers tsundere wave should be lower than the tsundere wave. Onlookers would kill to be in the shoes of those who have a relationship with a tsundere girl, so their happiness level should be lower than those actually dating the tsundere.

  27. 27 V2 74 comments

    hmmm…

    can you put that in “if-then-else” format?

  28. 28 G-Man 53 comments

    Dating a Tsundere sounds cool! I need to try it at least once, it’s probably worth the headache.

    I am G-man!

  29. 29 Yamibakeru 11 comments

    Makes sense. I happen for one to know a tsundere, but my girlfriend is a normal girl. And your hypothesis agrees very much with my empirical findings. Generalising your formula abit, y = ksin x, where k > 1, and is termed to be the maximum tsundere factor of a female. Naturally, it’s more fun to hang around the tsundere, but she can really breathe fire at times. My girlfriend, on the other hand, is more consistent. Can’t say much about the onlooker curve though.

  30. 30 tj_han 1440 comments

    Hey guys! I did this graph in a rush cos I had to leave for another country (albeit a backward one containing the likes of Kurogane and Owen S). Hehe. JP Meyer, you proved you’re no mathematician actually.

  31. 31 Victor 81 comments

    shldn’t it be y = 3sin x - 0.75?

  32. 32 Maruko 6 comments

    tsundere is a win 100%
    its not so hard to find such a girl in real life, I have met at least 2 or 3 among 100 others :D

  33. 33 Raistlin 1 comment

    nice explanation…perfect graph…brilhant!

  1. 1 Moe Computing Research Center (MCRC) - Tsundere Computer Development « Anime Academy


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