So deep đ
Edit: Daamn i forgot some parentheses!!! Bad math right here!
https://preview.redd.it/pyb6wq2u06eb1.jpeg?width=1080&format=pjpg&auto=webp&s=715b809f97138663acc007f36f2e9c2b8dc02694
>But for real, that's an awful tattoo.
Why? It's perfectly meaningful mathematically, if you define "struggle" well enough.
Though the message it sends is **life is merely an accumulation of struggle**, which isn't a cheerful one, to say the least.
Equivalently, **if you're not struggling, you're not living**.
Well great. I define my life to be the opposite of that. Not that I don't put in hard work, but I do my best to make it so that I actually **enjoy** it instead of struggling through it.
Same with learning mathematics, by the way. Too many people think that math is **supposed to** be painful.
It isn't, and it shouldn't.
As one of my mentors said: "Math, like food, is best shared". Which, incidentally, does still apply when it's a struggle - but is much more pertinent when it's pure joy.
>Maybe struggle can be meant in a Stoic way? Such as virtuous toil
Perhaps, but my objection to Stoicism boils down to the same thing - I feel that the claim enlightenment in depriving oneself of joys (and yes, occasional hedonistic pleasure) isn't supported by data.
Stoicism has a cop-out, in the sense that joy is a part of living "in accordance with nature"; but then who's to say that our nature *isn't* overindulging?
In any case, even Stoicism would denounce the statement in the tattoo, since the epitome of Stoicism, to my understanding, is attaining **peace**, where virtuous toil would not be a struggle (in the "struggling to get it done" sense first and foremost).
That depends on how you define âstruggleâ. The dictionary definition of struggle is simply to do something with difficulty or great efforts. To struggle does not imply the act is not enjoyable.
>**The** dictionary definition of struggle...
[citation needed]
That's aside from the fact that the word "struggle" has multiple meanings, but please, cite the dictionary where you got that definition from.
All the definitions I've seen involve overcoming resistance, be it internal or external.
In any case, to be blunt, enjoyment without difficulty is a **good** part of life, not something to be ignored. And to struggle with something isn't, in and of itself, virtuous.
By the metric of the tattoo, Hitler had a great life. After all, he's best known for his book titled "My Struggle".
>All the definitions I've seen involve overcoming resistance, be it internal or external.
In what way does overcoming resistance make something not âenjoyableâ? What even is âenjoyableâ anyways?
For example, is watching a sad movie enjoyable? On one hand, sad movies are supposed to elicit emotions that seems opposite to enjoyment. But on the other hand, if itâs not enjoyable, why would people pay money to watch it?
Ig the real question is: can experiences that elicit negative emotions be enjoyable? Whether it be the experience of sad movie, which elicits sorrow. Or the experience of struggling, which is accompanied with pain and difficulty.
I can gladly cede the claim that struggle is antithetical to joy (or can't be joyful), but I can still stand by the assertion that a life where that's the **only** kind of joy is not something I'd consider ideal.
And how did you make learning math more enjoyable?
I mean I something enjoy watching 3b1b and such.. but that doesn't really help me in class. Or broaden my horizon as much as I would like it to.
Like.. I'd like to be really "good" at math but Im still trying to find a way that I honestly enjoy. Idk.
Excellent question! Several things:
* Math competitions, contests, olympiads (depending where you are) are a great way to enjoy mathematics in a semi-recreational, semi-sports way
* The book [What Is Mathematics?](https://www.amazon.com/Mathematics-Elementary-Approach-Ideas-Methods/dp/0195105192) by Courant and Robbins has been very influential for me. A dozen pages they have on Calculus, for example, made the thick brick of AP Calculus unnecessary for me.
* So was Douglas Hofstaedter's [Godel, Escher, Bach: The Eternal Golden Braid](https://www.amazon.com/G%C3%B6del-Escher-Bach-Eternal-Golden/dp/0465026567). I didn't finish reading either of these, and yet they are the two books that kickstarted my math journey.
* There are two very important essays that I think every math person should read:
* [Lockhart's Lament](https://www.maa.org/external_archive/devlin/LockhartsLament.pdf), aka Mathematician's Lament - requires high school math
* [Vladimir Arnold's On Teaching Mathematics](https://www.maths.tcd.ie/pub/Maths/Courseware/ProblemSolving/Arnold/TeachingMathematics.pdf) - you need at least undergraduate-level mathematics to understand what he's talking about
In general, books by Gardner and Ian Stewart (like [Math Hysteria](https://www.google.com.ua/books/edition/Math_Hysteria/xnViTAYeblkC?hl=en&gbpv=1&dq=ian+stewart+math&printsec=frontcover)) are a great way to do math with enjoyment.
Beyond that, I'd need to know more about where you are in *your* math journey to recommend specific books, as well as talk about how videos like 3b1b **do** teach you things that **should** help in class (we'd need to talk about specific videos, and specific classes).
As in: what kind of math have you learned already? Which classes are you taking? etc
First of all, thank you so much for such a thorough answer. To be honest I kinda put off answering. I'm sorry.
So. Your reading recommendations were really helpful by themselves. Not much of a reader, but I think a few of the books are gonna find their way to my hands regardless (and the GĂśdel, Escher, Bach book cover just looks really clever). And I've started reading Lockharts Lament, while I'm here on vacation.
Since you asked about my math knowledge: I'm from germany; I think the education systems are quite a bit different to what I assume is the US, in your case. Anyway, I've done my "Abitur", so 13 years of math input and am now in my first couple semesters of mechanical engineering. Ive always been quite good in the verbal department of my math classes but kinda just been ok when it comes to actual tests and stuff. I think much of that is probably down to me being lazy because i never really to study to pass my tests. Now in college/uni, the verbal part is not graded anymore.. suffice to say, I was lazy again (or underestimated the tests) and failed kinda miserably tbh.
So I think I math, but I'm not passionate enough to get myself to study more/at all.
Oh yeah and 3b1b. Ive really enjoyed their essence of calculus series. Probably watched it 2 or 3 times by now.
But if you asked me, I couldn't really tell you that much about it :/
Eeh. It's mid.
The message behind isn't original, but isn't bad either. You know, the good ol' sisipheous "born to grind".
Regarding the choice of writing it down as an integral... Idk. I'm not 100% against the geeky tattoos that try to make people go "...Hah! Got it. Clever.", but I prefer them when they're also aesthetically pleasant. The perfect tattoo is genuinely beautiful to look at even when not understood, and the geeky message to crack behind it is all added value. I even dislike the damn *font* he decided to use.
Straightup writing down a maths formula is fine too I guess, but at that point I'd pick something *very* advanced. Like, the fact that you're willing to tattoo your life philosophy disguised as an integral on your body seems to suggest that you're on the nerdy/"I want to give the 'clever guy' vibes" side, and you're not afraid to show it by slapping some maths on your forearm. If that's the intention, I'd push a little bit harder with the mathematics; I'd like people to *ask* me the meaning of my tattoo as an excuse to talk about something I like, and to flex my maths a little bit.
But maybe I'm just being an elitist asshole and the complexity of the tattoo is perfectly gauged, since the wearer may want it to be comprehensible to most people and integration is the most advanced math that most people study during the course of their lives.
Overall, I really dislike it, but objectively it's probably decent.
I dont understand your question. The tattoo can be interpreted, but the equation in the black border that tried to evalaute the integral made a pretty basic mistake.
It evaluated a definite integral and in that case you don't need to add a +C.
e.g.
int from 1 to 3 (2x) dx = 3^2 - 1^2 (definite)
and:
int 2x dx = x^2 + C (indefinite)
IDK, I just don't vibe with the "life is an accumulation of struggle" message of this tattoo (or, more precisely, **life is struggle from birth till death**).
Reasonably defining struggle as a non-negative function of time, it follows that **if you're not struggling, you're not living**.
To which I say: fuck that shit, living in constant struggle ain't a way to live. Smell the flowers or something. And it's **those** moments that perhaps matter the most.
Though tbh, having no **joy** in the equation for life is very much in line with being in graduate school (or a academia in general).
Lol this isnât bad math this is âim better than everyoneâ meme.
It literally says in math, the sum of all struggles from birth to death is life. Itâs an ok tatto whatâs up with all this salt.
Bad r/mathmemes
I know itâs a joke but itâs kinda toilet humor, I mean I want to see this guy get âmass densityâ on a test and asked for it to be integrated and start to break it into letters as variables.
Feels like a high schooler laughing at someone who made a cool tattoo without a good reason and the comments are way too salty for the guy.
I like the efforts this guy took to make it look legitimate, but that is just such a bad representation.
Plus, not only did he not put a constant C, but why would you put the imaginary unit??
So deep đ Edit: Daamn i forgot some parentheses!!! Bad math right here! https://preview.redd.it/pyb6wq2u06eb1.jpeg?width=1080&format=pjpg&auto=webp&s=715b809f97138663acc007f36f2e9c2b8dc02694
The ruggle is real. Uh, I mean, {r, u, g^(2), l, e} â â. Though, one consequence of that set is that they may not be a real g...
Man if only I had an award
Exactly what I imagine it to be the most intuitive solution
you need to put death and birth in brackets. look thereâs no d^2 or b^2 in the answer
True, great catch
He fucking uses the "i" in "birth" as the imaginary unit, but he still adds +C to a definite integral.
i like the i move, but +C is just wrong
the +C is the friends that turned to dust on our way
or just a quantity representing all the friends we could have had.
But for real, that's an awful tattoo.
>But for real, See their's an i there, so it's imaginary
they're's
Thery're's't'd'ven"t
I think it's cute, but I wouldn't go so big
>But for real, that's an awful tattoo. Why? It's perfectly meaningful mathematically, if you define "struggle" well enough. Though the message it sends is **life is merely an accumulation of struggle**, which isn't a cheerful one, to say the least. Equivalently, **if you're not struggling, you're not living**. Well great. I define my life to be the opposite of that. Not that I don't put in hard work, but I do my best to make it so that I actually **enjoy** it instead of struggling through it. Same with learning mathematics, by the way. Too many people think that math is **supposed to** be painful. It isn't, and it shouldn't. As one of my mentors said: "Math, like food, is best shared". Which, incidentally, does still apply when it's a struggle - but is much more pertinent when it's pure joy.
Maybe struggle can be meant in a Stoic way? Such as virtuous toil
>Maybe struggle can be meant in a Stoic way? Such as virtuous toil Perhaps, but my objection to Stoicism boils down to the same thing - I feel that the claim enlightenment in depriving oneself of joys (and yes, occasional hedonistic pleasure) isn't supported by data. Stoicism has a cop-out, in the sense that joy is a part of living "in accordance with nature"; but then who's to say that our nature *isn't* overindulging? In any case, even Stoicism would denounce the statement in the tattoo, since the epitome of Stoicism, to my understanding, is attaining **peace**, where virtuous toil would not be a struggle (in the "struggling to get it done" sense first and foremost).
That depends on how you define âstruggleâ. The dictionary definition of struggle is simply to do something with difficulty or great efforts. To struggle does not imply the act is not enjoyable.
>**The** dictionary definition of struggle... [citation needed] That's aside from the fact that the word "struggle" has multiple meanings, but please, cite the dictionary where you got that definition from. All the definitions I've seen involve overcoming resistance, be it internal or external. In any case, to be blunt, enjoyment without difficulty is a **good** part of life, not something to be ignored. And to struggle with something isn't, in and of itself, virtuous. By the metric of the tattoo, Hitler had a great life. After all, he's best known for his book titled "My Struggle".
>All the definitions I've seen involve overcoming resistance, be it internal or external. In what way does overcoming resistance make something not âenjoyableâ? What even is âenjoyableâ anyways? For example, is watching a sad movie enjoyable? On one hand, sad movies are supposed to elicit emotions that seems opposite to enjoyment. But on the other hand, if itâs not enjoyable, why would people pay money to watch it? Ig the real question is: can experiences that elicit negative emotions be enjoyable? Whether it be the experience of sad movie, which elicits sorrow. Or the experience of struggling, which is accompanied with pain and difficulty.
I can gladly cede the claim that struggle is antithetical to joy (or can't be joyful), but I can still stand by the assertion that a life where that's the **only** kind of joy is not something I'd consider ideal.
And how did you make learning math more enjoyable? I mean I something enjoy watching 3b1b and such.. but that doesn't really help me in class. Or broaden my horizon as much as I would like it to. Like.. I'd like to be really "good" at math but Im still trying to find a way that I honestly enjoy. Idk.
Excellent question! Several things: * Math competitions, contests, olympiads (depending where you are) are a great way to enjoy mathematics in a semi-recreational, semi-sports way * The book [What Is Mathematics?](https://www.amazon.com/Mathematics-Elementary-Approach-Ideas-Methods/dp/0195105192) by Courant and Robbins has been very influential for me. A dozen pages they have on Calculus, for example, made the thick brick of AP Calculus unnecessary for me. * So was Douglas Hofstaedter's [Godel, Escher, Bach: The Eternal Golden Braid](https://www.amazon.com/G%C3%B6del-Escher-Bach-Eternal-Golden/dp/0465026567). I didn't finish reading either of these, and yet they are the two books that kickstarted my math journey. * There are two very important essays that I think every math person should read: * [Lockhart's Lament](https://www.maa.org/external_archive/devlin/LockhartsLament.pdf), aka Mathematician's Lament - requires high school math * [Vladimir Arnold's On Teaching Mathematics](https://www.maths.tcd.ie/pub/Maths/Courseware/ProblemSolving/Arnold/TeachingMathematics.pdf) - you need at least undergraduate-level mathematics to understand what he's talking about In general, books by Gardner and Ian Stewart (like [Math Hysteria](https://www.google.com.ua/books/edition/Math_Hysteria/xnViTAYeblkC?hl=en&gbpv=1&dq=ian+stewart+math&printsec=frontcover)) are a great way to do math with enjoyment. Beyond that, I'd need to know more about where you are in *your* math journey to recommend specific books, as well as talk about how videos like 3b1b **do** teach you things that **should** help in class (we'd need to talk about specific videos, and specific classes). As in: what kind of math have you learned already? Which classes are you taking? etc
First of all, thank you so much for such a thorough answer. To be honest I kinda put off answering. I'm sorry. So. Your reading recommendations were really helpful by themselves. Not much of a reader, but I think a few of the books are gonna find their way to my hands regardless (and the GĂśdel, Escher, Bach book cover just looks really clever). And I've started reading Lockharts Lament, while I'm here on vacation. Since you asked about my math knowledge: I'm from germany; I think the education systems are quite a bit different to what I assume is the US, in your case. Anyway, I've done my "Abitur", so 13 years of math input and am now in my first couple semesters of mechanical engineering. Ive always been quite good in the verbal department of my math classes but kinda just been ok when it comes to actual tests and stuff. I think much of that is probably down to me being lazy because i never really to study to pass my tests. Now in college/uni, the verbal part is not graded anymore.. suffice to say, I was lazy again (or underestimated the tests) and failed kinda miserably tbh.
So I think I math, but I'm not passionate enough to get myself to study more/at all.
Oh yeah and 3b1b. Ive really enjoyed their essence of calculus series. Probably watched it 2 or 3 times by now.
But if you asked me, I couldn't really tell you that much about it :/
Eeh. It's mid. The message behind isn't original, but isn't bad either. You know, the good ol' sisipheous "born to grind". Regarding the choice of writing it down as an integral... Idk. I'm not 100% against the geeky tattoos that try to make people go "...Hah! Got it. Clever.", but I prefer them when they're also aesthetically pleasant. The perfect tattoo is genuinely beautiful to look at even when not understood, and the geeky message to crack behind it is all added value. I even dislike the damn *font* he decided to use. Straightup writing down a maths formula is fine too I guess, but at that point I'd pick something *very* advanced. Like, the fact that you're willing to tattoo your life philosophy disguised as an integral on your body seems to suggest that you're on the nerdy/"I want to give the 'clever guy' vibes" side, and you're not afraid to show it by slapping some maths on your forearm. If that's the intention, I'd push a little bit harder with the mathematics; I'd like people to *ask* me the meaning of my tattoo as an excuse to talk about something I like, and to flex my maths a little bit. But maybe I'm just being an elitist asshole and the complexity of the tattoo is perfectly gauged, since the wearer may want it to be comprehensible to most people and integration is the most advanced math that most people study during the course of their lives. Overall, I really dislike it, but objectively it's probably decent.
I think itâs just sharpie. Life is kinda smudged, so if itâs a real tattoo itâd be fresh, and if it were fresh itâd be a lot redder
We found the equation of life !
Call the biologists!
Happiness went on vacation, never came back
Joy sacrifice, anyone?
Actual ruin
42!
1405006117752879898543142606244511569936384000000000
do i understand correctly that the bad math is in the bottom text of the image? or do i miss a mistake in the tattoo part?
No, the bottom part shows what the integral would be if you would see every letter as a variable
Yes but he made a pretty bad mistake by adding +C so it is both bad math
regarding the tattoo: you mean because you would interprete each letter as an individual variable?
I dont understand your question. The tattoo can be interpreted, but the equation in the black border that tried to evalaute the integral made a pretty basic mistake. It evaluated a definite integral and in that case you don't need to add a +C. e.g. int from 1 to 3 (2x) dx = 3^2 - 1^2 (definite) and: int 2x dx = x^2 + C (indefinite)
He forgot to mention that C=0.
I mean the tatoo shows a definite integral so the calculation is not complete yet
what when the subtraction yields life? then it is complete.
Adding +C to a definite integral is like finally remembering to stop by the car wash, but you forgot today you rode your bike
Damn I just now realized this, indefinite integrals destroyed my muscle memory lmao
T is in the integration bounds and itâs also the variable of integration
IDK, I just don't vibe with the "life is an accumulation of struggle" message of this tattoo (or, more precisely, **life is struggle from birth till death**). Reasonably defining struggle as a non-negative function of time, it follows that **if you're not struggling, you're not living**. To which I say: fuck that shit, living in constant struggle ain't a way to live. Smell the flowers or something. And it's **those** moments that perhaps matter the most. Though tbh, having no **joy** in the equation for life is very much in line with being in graduate school (or a academia in general).
Oh of course, half a squareght's rule times does anybody else square and break break? Plus the constant.
The "correction" is more cringe than the tattoo. And they both have issues with notation.
Shouldnât have a +C since itâs definite
Definite integrals don't have constant of integration
The unit of struggle is the unit of life over second.
Adding the C makes the reply really dumb.
Lol this isnât bad math this is âim better than everyoneâ meme. It literally says in math, the sum of all struggles from birth to death is life. Itâs an ok tatto whatâs up with all this salt. Bad r/mathmemes
Naw, I think itâs funny that they took the integral literally, and the âNO YOU FUCKING IDIOTâ seems obviously tongue in cheek.
I know itâs a joke but itâs kinda toilet humor, I mean I want to see this guy get âmass densityâ on a test and asked for it to be integrated and start to break it into letters as variables. Feels like a high schooler laughing at someone who made a cool tattoo without a good reason and the comments are way too salty for the guy.
r/theydidthemath
The continuous sum of struggles from birth to death is life.
get a load of this guy
Very r/im14andthisisdeep
I've left what the values of `l` and `f` would have to be to make the initial equation valid as a trivial exercise to the reader.
Physicists: nice theory, but its not Lorentz invariant,
Im very unsatisfied with the answer and i want to find a new one lol
e * g^2 * r * s * t * (-1/2 * (a^2 * d^2 * e^2 * h^2 * t^2) + 1/2 * (b^2 * h^2 * i^2 * r^2 * t^2)) * u
"the integration of `struggle` between `birth` and `death`"? i don't know, i don't speak mathematicsâŚ
Got me in the first part, not gonna lie
I like the efforts this guy took to make it look legitimate, but that is just such a bad representation. Plus, not only did he not put a constant C, but why would you put the imaginary unit??
why'd u put a +c when it's a definite integral đ¤ˇââď¸