The one with the ench. table reminded me that I can never find the grindstone in JEI because my brain always wants to search for something like "disenchanting wheel" instead of its actual name...
I believe Phoenix's puzzle answer is a skeleton riding a skeleton horse. Taking the derivative of something is, in this video anyway, akin to stripping away a layer of it (as we sort of saw with the ice), so the derivative of a living entity can be seen as the skeleton of that entity (its skin was stripped away). The -1 exponent means the horse can be brought to the bottom of the equation, leaving a skeleton on top and a skeleton-horse on the bottom, which looks like a skeleton horse jockey.
Ya, I was starting to think something like this too, and also you could say it as “skeleton over skeleton horse”, and why else would the skeleton be over it unless its riding it
*Solution to Pheonix's puzzle:* The derivative of a horse is obviously a donkey. If you name a donkey "Dinnerbone" you get its inverse -- an upside-down donkey. The derivative of Steve can also be written as the slope, or direction, Steve is heading towards at any time. What is Steve trying to do? Kill the Ender Dragon. Therefore, we can multiply our terms to get a Dragon riding an upside-down Donkey. -shrek moment-
The answer to the horse one is Steve/Horse. d/dx by horse is all raised to the power of -1 so you take the reciprocal, which simplified is (dx*horse)/d. You then have a fraction of dx/d multiplied by d/dx, so both terms cancel. This leaves (1/horse)*Steve which simplifies to Steve/horse. I have my first maths A level paper tomorrow so thanks for the revision lol.
Thats cool and all but it doesn't change the fact that there are 940 million cows and 3.5 million inhabitants of Uruguay, this means that if the cows invaded uruguay each uruguayan would have to fight of roughly 284 cows each
the nether puzzle probably took the abs() of the y-coordinates instead of the dimension and assumed that the nether is below the overworld, but the dimension solution is a lot cleaner imo
I was thinking about the same thing as you too. But if we assumed that the end is above the overworld, then the end will also have a positive y value. Therefore, Phoenix' answer is more elegant imo
• So we have: (d×horse/dx)^(-1) × (d×steve/dx) • First we do the ^(-1) which makes it: (dx/d×horse) × (d×steve/dx) • If we multiply these we have: (dx×d×steve)/(dx×d×horse) • simplify: steve/horse • so we have Steve over horse • therefore it's Steve riding a horse
“Hey guys, for fun numerically solve the Lane-Emden Equation for polytropic indexes between 0 and 5” -PhoenixSC, probably “Next episode we’ll derive the Friedmann equations inside of Minecraft from first principles” “I made an N-body dark matter simulation to prove hierarchical galaxy formation inside of Minecraft”
This is not only genuinely funny but also legitimately helpful for remembering how the different symbols of mathematics work, I’m in college taking math classes and this is actually helpful! Like so he sees so he can make more!
For the absolute value of the nether, your answer was certainly correct on the technical side but the original answer probably was based on a popular theory that the nether is below the overworld: If we put the nether right below the overworld's coordinate system, then the coordinates in the nether is in the range [-192, -64] in our overworld-nether coordinate system. Taking absolute value of the range changes it to [64, 192] which are overworld coordinates. As Y=64 is the surface/sea level, solution would be the overworld surface which was the original answer.
mathematics can be taught us in any way, not only minecraft, the only place where you can't learn maths properly is schools, because we are forced to study in schools so we don't like to go to school, and if we don't like to go to school the power of learning decreases, in that state you can only mug up things and remember it temporarily, nobody forces us to play games, if we learn something on our wish or on something/in some place where you like to do/be then you will be able to learn while having fun, but shools, schools just try their best to take the fun elements from the students, schools just torcher, put fear in your mind, give depression
For the absolute value of the nether I thought the aether made more sense, but since both the end and the aether came from the idea of a sky dimension, I guess the end makes sense too. Phoenix is really a good math teacher though
the aether doesnt actually exist, this implies that it would be represented as 'i' (or 'j' if you're an engineer) for those who don't know, 'i' is used to represent the square root of -1, a number which cannot exist, thus it is an imaginary number, hence 'i' edit: so therefore the square root of the nether is the aether
What I actually did was "Nether has negative connotations and the overworld has positive ones." So when I made it I had the overworld be the answer. But Phoenix's solution is much cleaner.
I think the derivative of both the horse and steve are their bones, and the inverting of the (skeleton) horse would put it on the bottom of the fraction, so by multiplying a skeleton with a 1/(skeleton horse) you'd get a skeleton horse jockey (or whatever that is called). Math representation: (d/dx.horse)^-1 * d/dx.steve = (skeleton_horse)^-1 * skeleton = 1/skeleton_horse * skeleton = skeleton_horse_jockey
Phoenix, as an engineering geek, I absolutely loved these puzzles! And yes, your final puzzle made total sense! A very sneaky (and overly complicated) way to indicate the elytra's inferior! 😉 Thanks for the great content, mate!
here are my guesses using my wonderfully bad calculus: - since the left side differentiates as the right becomes weaker, I'm guessing water? - the inverse of an enchantING table is a grindstone - stairs but as the height tends to zero would be slopes or something? - obviously the first two are equivalent, meaning cube root; the last is a rooted dirt block, i.e. a cube which is roots. - absolute value of nether? I dunno, maybe end if you negate everything, caves into floating islands - cube ROOT again, natural LOG, SINE = sign. - log of root pi (i.e. parrot) I guess? alright this is getting weird - reciprocal derivative of horse times derivative of steve? what the heck is this. wait a minute - obviously the ^-1 is to say d/dx(steve) is over d/dx(horse), so either its some variant of steve riding a horse, or it cancels out to d(steve)/d(horse), but what does that mean? almost reminds me of parametric stuff notes: - good - good - oh, rails, close enough - good - overthought it, but good - god I swear why didn't I realize the parrot was a POWER - come on why couldn't you give the answer
I think I have an answer to the question presented. For denotion H=Horse and S=Steve (d/dx H)^-1 is the same as 1/(d/dx H) given this, (d/dx H)^-1 * (d/dx S) is the same as (d/dx S)/(d/dx H) due to how derivatives cancel along same rates it would summarize to dS/dH, or the rate of Steve on a Horse (Steve is Riding a Horse). Little rusty on the calc but hope the insight helps
@@MY_NAME_IS_E2.WORSHIP_ME I am a science student and I think it's herobrine riding a donkey , never thought I would use calculus on a minecraft problem 😂 , also you don't need to feel stupid or anything , these puzzles are just for fun lol
Holy crap, how did this rekindle my calculus knowledge. I can not only remember but grasp concepts that I was taught years ago. I guess being out of school was extremely good for my brain
I'm proud of myself for getting nearly all of them! I admit to also thinking the overworld was the answer to the modulus puzzle, but that's because I interpreted it more as the Nether being the "negative" (read:evil) version of the overworld. I also didn't quite figure out that you wanted rails for that one integrals puzzle, but I got that you wanted the area under the curve
Nice! Yeah the only one I didn't get was the rails one lol, I couldn't think of a block that goes diagonally and is not jagged. The way I thought of the absolute value of nether one was I recalled that the End was originally supposed to be some sort of heaven dimension I think
That was my exact thinking when making it. The Nether has negative connotations and the overworld has positive ones. Phoenix's solution is much cleaner though.
the solution of the problem you suggested, after a few simplifications, is Steve riding the horse. Really cool. Process: first multiply the horse with the fraction in the parenthesis, then reverse the parenthesis to make it an exponent of 1, then simplify the fractions together.
Interesting Idea: The derivative of a horse is most likely a donkey, and the inverse of a donkey could be donkey with the name dinnerbone. The derivative of steve is probably the human player. So the most likely answer is an *upside down human donkey cyborg* -Yeah....
Skeleton riding a skeleton horse? idk if that's actually possible in minecraft bc i haven't played in a while but i thought that this would make quite a lot of sense.
For the horse one, I believe the answer is Steve Riding a horse. Let the horse be "A", and let Steve be "B". Simplifying (dA/dx)-1(dB/dx) gives you: ((d/dx)B) / ((d/dx)A) Aside from throwing all math and reason out the window, the simplified equation kind of looks like the answer would be Steve riding a horse
What I actually did was "Nether has negative connotations and the overworld has positive ones." So when I made it I had the overworld be the answer. But Phoenix's solution is much cleaner.
The answer (according to me): Negative power 1 means the derivative of horse is a denominator, or 1/(d/dx of horse) Multiplying by derivative of Steve basically gives Steve over horse. Literally.
@matthewmitchell3457 Nothing. The d/dx in the calculation is there as a fraction, not a derivative. Something something comedy. Come to think of it, this 9 month old comment should be recreated more elegantly. How about this: (H is horse, S is Steve) (d/dx * H)^(-1) * (d/dx) * S = 1/(d/dx) * 1/H * (d/dx) * S = S/H * (d/dx)/(d/dx) [rearranging] [If anything divided by itself is 1, then: (d/dx)/(d/dx) = 1] = S/H Steve over horse. That's it.
@@drenzine If that's true, it seems like a lame and cheap red herring to make the puzzle harder, if I'm honest. I mean, we're here talking about functions and inverses and derivatives, and the trick is just "Psych! All the context clues and mathematical conventions are telling you d/dx means one thing, but you were misled cause you didn't think to read my mind! Bet you feel stupid now!"
In my opinion abs of nether is overworld because it's under the overworld. So we can put them on the right and left side on the number axis, where nether = -1 and overworld = 1. But abs of end is also equal to overworld, because it's an "imaginary" world on the imaginary axis, so end = i
no math, it's from hardest to weakest. The strongest ice in the game is blue ice, then it's packed ice, then it's ice. The last one is "frosted ice", a state of ice that can only be accessed by a special command, and it's the ice from frost walker enchantment (thats my guess)
2:33 A skeleton horse named Dinnerbone or Grumm, being ridden by a Skeleton? Should I be proud that I understood every mathematical interpretation or concerned that I understood every Minecraft context with it?
H != 0 & X != 0 H = Horse, S = Steve (D*H / D*X)^-1 * D*S / D*X = = (H/X)^-1 * S/X = = X/H * S/X = = X*S / H*X = = S / H I don't get it ... Steve is divided by horse
Water is denser than ice (ice floats in water), so the thing that would continue the getting-less-dense trend would be steam or water vapour. Maybe a minecraft cloud?
1:49 is the answer the Aether? iirc the two lines are absolute values, which would make any number in between positive. Nether could be interpreted as negative, so Aether would be positive.
Indeed! Though it's also called "signum" frequently, while "sin" is always read as "sine" (except by the misinformed or really lazy who read it as a word... Which is how some of the sine variants started getting pronounced weirdly >_>)
Derivative of horse with respect to x is zero (assuming horse is a constant) 0^-1 is headache Derivative of steve with respect to x is zero (assuming steve is a constant) So we get 0^-1 * 0
I should clarify my position on calculus, Im from the UK and we were never taught this so it completely baffles me that people can comprehend this, if you're going to go into a high educational subject that needs calculus I can understand needing to learn it but imo I think most people only need to know basic equational maths and geometry and you'll be fine
Do you call the dining table a dine table? Do you call the dressing table a dress table? Then, why do you call the enchanting table, the enchantment table?
Let’s say change horse to H and Steve to Z, hence the equation (d/dx)(h)^-1=(d/dx)(z). To solve the equation (d/dx)(h)^(-1) = (d/dx)(z) for h and z, we can integrate both sides with respect to x. without additional information, we won't be able to determine unique solutions for h and z. So we proceed with the integration: ∫ (d/dx)(h)^(-1) dx = ∫ (d/dx)(z) dx To integrate the left side, we can use the chain rule: ∫ (d/dx)(h)^(-1) dx = ∫ (dh^(-1))/(dx) dx = ∫ (dh^(-1))/(dh) * (dh)/(dx) dx Since (dh^(-1))/(dh) = -h^(-2), the integral becomes: ∫ -h^(-2) dh = -1/h + C1 where C1 is the constant of integration. Similarly, integrating the right side gives: ∫ (d/dx)(z) dx = ∫ (dz)/(dx) dx = ∫ dz = z + C2 where C2 is another constant of integration. Now we have: -1/h + C1 = z + C2 Rearranging the equation, we can express h in terms of z: h = 1/(C1 - z - C2) = 1/(C1 - C2 - z) So, the solution for h in terms of z is h = 1/(C1 - C2 - z). Likewise, we can express z in terms of h: z = -1/h + C1 - C2 Hence, the solution for z in terms of h is z = -1/h + C1 - C2.
I haven't brushed up on my calculus in a bit but from what I can tell, phoenix's problem can be written as (the derivative of Steve) divided by (the derivative of horse), unless I'm interpreting it incorrectly. In this case the derivatives would cancel out giving an answer of Steve divided by horse, which can be interpreted in Minecraft terms as Steve riding a horse. Feel free to let me know if I got anything terribly wrong 😭 CORRECTION: So I was incorrect in saying the derivatives would cancel out, sorry about that 💀 Still, I feel like the interpretation of Steve riding a horse is correct, because I have no idea how it would be interpreted otherwise 🤷
Derivative notation is annoying. While they look like fractions, I don't think they cancel out like that in this case. The expression would simplify to (Steve)'/(Horse)', where ' denotes the derivative. Idk if this is an error on Phoenix SC's behalf, but it's written wrong if this is the intended solution. I interpreted it as Steve riding a dinnerbone horse, both moving. Edit: I might be incorrect. I was taught to never simplify derivatives like this, so I'm not actually sure if this is true. Edit #2: Nope, they don't simplify like this. With Steve = g(x) and horse = f(x), WolframAlpha gives (g'(x))/(f'(x)).
“The derivatives cancel out” lol I wish Edit: so stick with me, the derivative of horse is skeleton horse, the derivative of Steve is skeleton. Skeleton over skeleton horse is skeleton horseman??
I'm literally getting ready for bed right now it is 9 40 pm in Manitoba Canada and I am tired but I just couldn't sleep until I watched the latest phoenix sc video
2:12 i love how he doesn't say "steve with a parrot on his shoulder" he instead says "parrot on steve's shoulder." implying that the parrot is the more important thing.
Man I've been out of school and I miss math a lot (to a certain extent) but these bring me great enjoyment seeing math depicted this way. You made my day Phoenix. Very cool 👍
So basically with -1 as an exponent, the d/dx horse becomes 1/(d/dx horse). Then you cross multiply putting d/dx Steve as the numerator. Both of the d/dx cancel each other out so you're just left with Steve riding a horse.
@@ItsStormCentral not the intended answer, but there's still an interpretation that leads to _an_ answer being "de Steve on de Horse" Using the chain rule property of derivatives. But yeah, the intended answer is different from this line of thinking.
yes, I like this kind of stuff : I like math and I like minecraft Didn’t get the mangrove meme, because “ln” in french (I’m french) is not “natural log” but « logarithme népérien » (neperian log), and sign in french is « pancarte », which is not actually close to “sinus”
Minecraft is about killing wandering traders, not building School is about grades, not learning, But watching phoenix sc videos is the thing that you need to learn
So my thought is, the derivative of horse is a skeleton horse. The derivative of the player, is a skeleton. The inverse could be rewritten as (skeleton/skeleton_horse) implying the skeleton is riding the skeleton horse. So the answer is of course the skeleton horsemen!
3:14 (Nice, Pi) I already disagree, the integral counts area under a function, while a sum only sums up its values, therefore the answer should be the same set of stairs but filled with stone blocks to the bottom
I have an alternative answer to the final question that i haven’t seen anyone else come up with. To get this answer you have to ignore calculus and assume that “d” is a generic variable. in this case, the ds would cancel out, leaving you with (1/x * horse)^-1 *(1/x * steve) 1/x * horse = horse/x, and 1/x * steve = steve/x (horse/x)^-1 = x/horse, x/horse * steve/x = stevex/horsex, the xs cancel leaving you with steve/horse meaning steve is riding the horse.
Doing math with phoenix is a dream i never knew i had
I'd be everyone's math teacher if I could.
*using Minecraft
lol
@PhoenixSC maybe id actually pass math class lol
noice
@@PhoenixSC I still wouldn't like math tbh :/
This video literally doubled my knowledge of math, I now know 0% of math. Thanks Mr. SC!
If you know that 0 * 2 = 0, you must at least know _some_ math.
now give it to the next person
2x 0 is still 0 lol
@@Anqromeda that's the point
@@Anqromeda that's the point
As a person with 999 IQ, I can confirm you do need 1000 IQ to solve this puzzle.
and as someone who has 1001 IQ, i can confirm you need exactly 1000 IQ
Henya?
@@TheGuyWhoIsSitting Argue?
As a ___, I can confirm ___ 🤪🤪🤓🤓😐😐
@@小心臟スピー also as someone who has no iq, I can’t actually confirm if you need 1000 iq or not
This brings me back to the days when I used to do calculus in my head and ask my calculator what's 8+2, now I can't do either
8+2=10
10
so real
The one with the ench. table reminded me that I can never find the grindstone in JEI because my brain always wants to search for something like "disenchanting wheel" instead of its actual name...
💀
Phoenix SC is the type of guy to get a medical degree to heal a zombie villager.
No reply’s, lemme fix that
True 😂
"Do The math or i will get ANGRY
Me, a 24 year old adult that completely forgot his maths: 😢
It's spreading...
I believe Phoenix's puzzle answer is a skeleton riding a skeleton horse. Taking the derivative of something is, in this video anyway, akin to stripping away a layer of it (as we sort of saw with the ice), so the derivative of a living entity can be seen as the skeleton of that entity (its skin was stripped away).
The -1 exponent means the horse can be brought to the bottom of the equation, leaving a skeleton on top and a skeleton-horse on the bottom, which looks like a skeleton horse jockey.
Ya, I was starting to think something like this too, and also you could say it as “skeleton over skeleton horse”, and why else would the skeleton be over it unless its riding it
It's a trap!
I came to Alex riding a donkey by a similar route.
Yeah your solution makes sense, I couldn't figure out what the derivative could be at this point.
So that's what 1000iq sounds like...
*Solution to Pheonix's puzzle:*
The derivative of a horse is obviously a donkey.
If you name a donkey "Dinnerbone" you get its inverse -- an upside-down donkey.
The derivative of Steve can also be written as the slope, or direction, Steve is heading towards at any time.
What is Steve trying to do? Kill the Ender Dragon.
Therefore, we can multiply our terms to get a Dragon riding an upside-down Donkey.
-shrek moment-
I thought it’s Steve riding a horse
No your wrong. It was because the horse’s name was friday🙄
*Phionex
@@butter_0021 This had better be a goddamn joke
@@Eundo21 what? 💀
The answer to the horse one is Steve/Horse. d/dx by horse is all raised to the power of -1 so you take the reciprocal, which simplified is (dx*horse)/d. You then have a fraction of dx/d multiplied by d/dx, so both terms cancel. This leaves (1/horse)*Steve which simplifies to Steve/horse.
I have my first maths A level paper tomorrow so thanks for the revision lol.
steve riding horse
Cancelling out a d/dx just made me violently angry thank you
@@joshuanorman2same lmao
Steve’s always been a constant in the Minecraft community so derivative of Steve is 0 and the hole thing is 0
11/7 answer right here ngl
As an Australian i wanna say thank you for always uploading at lunch time
lol, its 10:30 in eastern us (est)
im still in class lol
Same. Except he streams at night
agreed frfr
@@HardPasta i had an exam so I finished early
Thats cool and all but it doesn't change the fact that there are 940 million cows and 3.5 million inhabitants of Uruguay, this means that if the cows invaded uruguay each uruguayan would have to fight of roughly 284 cows each
The horror, the horror!
The easiest way to stop that is building _one_ McDonald's
why uruguayans get attacked by animals so much
@@gooseosessooe one cow provides over 3,000 patties IIRC.
Bro, as an Uruguayan i can say thar we totaly would lose, just take a look at the emu wars, now imagine that but they emus can tank a bullet
the nether puzzle probably took the abs() of the y-coordinates instead of the dimension and assumed that the nether is below the overworld, but the dimension solution is a lot cleaner imo
I was thinking about the same thing as you too. But if we assumed that the end is above the overworld, then the end will also have a positive y value. Therefore, Phoenix' answer is more elegant imo
@@VB-bv1lb I'm pretty sure the end is supposed to be under the overworld in the void
The y-coords in the nether aren't negative tho, negative y-coords just implies a deeper cave biome
@@oodogla the end and nether are different dimensions so theres rlly nothing to go off of other than the dimension numbers
I though the overworld, since the nether is the negative of it
• So we have:
(d×horse/dx)^(-1) × (d×steve/dx)
• First we do the ^(-1) which makes it:
(dx/d×horse) × (d×steve/dx)
• If we multiply these we have:
(dx×d×steve)/(dx×d×horse)
• simplify:
steve/horse
• so we have Steve over horse
• therefore it's Steve riding a horse
“Hey guys, for fun numerically solve the Lane-Emden Equation for polytropic indexes between 0 and 5” -PhoenixSC, probably
“Next episode we’ll derive the Friedmann equations inside of Minecraft from first principles”
“I made an N-body dark matter simulation to prove hierarchical galaxy formation inside of Minecraft”
Bro chill
(Bro i have like 5x amount of likes than your comment but you're better so take this crown with you king)
holy shit
Phoenix is the type of guy to study complicated maths to solve a minecraft-related problem
Don't bring Sam's comment section into this
@@owenfeilds it can spread anywhere, not just sam, not just phoenix
@@akiyomer "markipier is the type of guy-"
It’s not complicated it just minimum education level
@@akiyomer lol
I'm terrible at math but when Phoenix explains it I understand everything.
bruh
Then whats 1 + 1?
@@БагакашвилиМлхаз 11
2:30 Must be a centaur, if we take the derivatives as parts of a horse/man, the negative exponent puts the man on top and the horse on the bottom.
You have no idea how happy I'd be to be able to have a taur as my player model.
Riding the horse?
I thought it was a skeleton horseman because minecraft
@@dograttargoduuuh nice
@@dograttargod I had the same idea
This is beautiful. Thanks for this. I think I missed out on this old school channel stuff when I joined, and would love more content like this.
This is not only genuinely funny but also legitimately helpful for remembering how the different symbols of mathematics work, I’m in college taking math classes and this is actually helpful! Like so he sees so he can make more!
As someone that's currently in the Calculus and Vectors course, a few of these made me audibly cackle
If only Phoenix posted this video 5 years ago when I was learning this stuff at school it would be great to show my high school math teacher
Fellow canadian?
lmfao this would have helped me slightly when I was a sophomore in Uni.
I don’t know what the d/dx will do with Steve or the horse, but definitely Steve is gonna be riding the horse
f'(x) is a special case of d/dx, but i still couldn't figure out the puzzle though.
Maybe zombie over zombie horse?
@@krimsonkoi4153 oh man you are like. THIS close 👌
Is it skeleton over skeleton horse then?
@@Mido_Jaara It is not a special case, just alternative notation.
Phoenix didn't hesitate to make us feel dumb love it :)
Doing math with phoenix is a dream i never knew i had
For the absolute value of the nether, your answer was certainly correct on the technical side but the original answer probably was based on a popular theory that the nether is below the overworld:
If we put the nether right below the overworld's coordinate system, then the coordinates in the nether is in the range [-192, -64] in our overworld-nether coordinate system. Taking absolute value of the range changes it to [64, 192] which are overworld coordinates. As Y=64 is the surface/sea level, solution would be the overworld surface which was the original answer.
"mathematics can be taught using minecraft. that's a new invention!"
- someone probably
Taught
That someone is you as you have made a wise quote now you can live happy knowing you contributed to society
@@gendo1123 It could be applied to you too...
What the fuck is this comment? Did a human write it? Why did 50 people like it?
mathematics can be taught us in any way, not only minecraft, the only place where you can't learn maths properly is schools, because we are forced to study in schools so we don't like to go to school, and if we don't like to go to school the power of learning decreases, in that state you can only mug up things and remember it temporarily, nobody forces us to play games, if we learn something on our wish or on something/in some place where you like to do/be then you will be able to learn while having fun, but shools, schools just try their best to take the fun elements from the students, schools just torcher, put fear in your mind, give depression
For the absolute value of the nether I thought the aether made more sense, but since both the end and the aether came from the idea of a sky dimension, I guess the end makes sense too. Phoenix is really a good math teacher though
but the aether isn't in Minecraft(?)
I had a similar thought process. The nether is a bunch of sky in the ground, the end is a bunch of ground in the sky.
the aether doesnt actually exist, this implies that it would be represented as 'i' (or 'j' if you're an engineer)
for those who don't know, 'i' is used to represent the square root of -1, a number which cannot exist, thus it is an imaginary number, hence 'i'
edit: so therefore the square root of the nether is the aether
What I actually did was "Nether has negative connotations and the overworld has positive ones." So when I made it I had the overworld be the answer. But Phoenix's solution is much cleaner.
That would make more sense, but it was related to the integer values each dimension had
I think the derivative of both the horse and steve are their bones, and the inverting of the (skeleton) horse would put it on the bottom of the fraction, so by multiplying a skeleton with a 1/(skeleton horse) you'd get a skeleton horse jockey (or whatever that is called).
Math representation:
(d/dx.horse)^-1 * d/dx.steve =
(skeleton_horse)^-1 * skeleton =
1/skeleton_horse * skeleton = skeleton_horse_jockey
That makes way more sense than steve riding a horse (wich uses derivative as variables for some reason)
oh my god someone actually got it
phoenix dmed me about this at 1 in the morning
Good job that is correct :)
I completely forgot about the skeleton horse jockey!
Phoenix, as an engineering geek, I absolutely loved these puzzles!
And yes, your final puzzle made total sense! A very sneaky (and overly complicated) way to indicate the elytra's inferior! 😉
Thanks for the great content, mate!
here are my guesses using my wonderfully bad calculus:
- since the left side differentiates as the right becomes weaker, I'm guessing water?
- the inverse of an enchantING table is a grindstone
- stairs but as the height tends to zero would be slopes or something?
- obviously the first two are equivalent, meaning cube root; the last is a rooted dirt block, i.e. a cube which is roots.
- absolute value of nether? I dunno, maybe end if you negate everything, caves into floating islands
- cube ROOT again, natural LOG, SINE = sign.
- log of root pi (i.e. parrot) I guess? alright this is getting weird
- reciprocal derivative of horse times derivative of steve? what the heck is this. wait a minute -
obviously the ^-1 is to say d/dx(steve) is over d/dx(horse), so either its some variant of steve riding a horse, or it cancels out to d(steve)/d(horse), but what does that mean? almost reminds me of parametric stuff
notes:
- good
- good
- oh, rails, close enough
- good
- overthought it, but good
- god I swear why didn't I realize the parrot was a POWER
- come on why couldn't you give the answer
I think I have an answer to the question presented.
For denotion H=Horse and S=Steve
(d/dx H)^-1 is the same as 1/(d/dx H) given this,
(d/dx H)^-1 * (d/dx S) is the same as (d/dx S)/(d/dx H)
due to how derivatives cancel along same rates it would summarize to dS/dH, or the rate of Steve on a Horse (Steve is Riding a Horse).
Little rusty on the calc but hope the insight helps
Unless you studied thermodynamics at which point dS/dH is the change in entropy over the change in heat which means the answer is a Minecraft furnace
Are y'all math majors or am I just stupid
you got it, but try without the h=horse and s=steve substitution and then say it out loud :P
@@MY_NAME_IS_E2.WORSHIP_ME I am a science student and I think it's herobrine riding a donkey , never thought I would use calculus on a minecraft problem 😂 , also you don't need to feel stupid or anything , these puzzles are just for fun lol
@@xanderridley-smith3613 DIAMOND STEVE ON DIAMOND HORSE I SEEE
Holy crap, how did this rekindle my calculus knowledge. I can not only remember but grasp concepts that I was taught years ago. I guess being out of school was extremely good for my brain
I'm proud of myself for getting nearly all of them! I admit to also thinking the overworld was the answer to the modulus puzzle, but that's because I interpreted it more as the Nether being the "negative" (read:evil) version of the overworld. I also didn't quite figure out that you wanted rails for that one integrals puzzle, but I got that you wanted the area under the curve
Nice! Yeah the only one I didn't get was the rails one lol, I couldn't think of a block that goes diagonally and is not jagged. The way I thought of the absolute value of nether one was I recalled that the End was originally supposed to be some sort of heaven dimension I think
That was my exact thinking when making it. The Nether has negative connotations and the overworld has positive ones. Phoenix's solution is much cleaner though.
the solution of the problem you suggested, after a few simplifications, is Steve riding the horse. Really cool.
Process:
first multiply the horse with the fraction in the parenthesis, then reverse the parenthesis to make it an exponent of 1, then simplify the fractions together.
In actual mathematical terms, would that make Steve riding the horse a fraction, or just two whole numbers added together?
I guess you haven't taken calculus, cause you're wrong.
Oh God. The log one took me off guard, lol. Also I like the absolute value of Nether. And I'm glad You fixed it. These two are my favorite ones.
Interesting Idea:
The derivative of a horse is most likely a donkey, and the inverse of a donkey could be donkey with the name dinnerbone. The derivative of steve is probably the human player. So the most likely answer is an *upside down human donkey cyborg*
-Yeah....
please keep on doing these they’re actually really interesting
Skeleton riding a skeleton horse? idk if that's actually possible in minecraft bc i haven't played in a while but i thought that this would make quite a lot of sense.
he hearted your comment. you’re right i guess???
I thought it was just "d steve on d horse" which I personally find funnier
For the horse one, I believe the answer is Steve Riding a horse.
Let the horse be "A", and let Steve be "B".
Simplifying (dA/dx)-1(dB/dx) gives you:
((d/dx)B) / ((d/dx)A)
Aside from throwing all math and reason out the window, the simplified equation kind of looks like the answer would be Steve riding a horse
3:40 Overworld works if you think of the bedrock layer as the number zero. This made more sense before Caves & Cliffs.
What I actually did was "Nether has negative connotations and the overworld has positive ones." So when I made it I had the overworld be the answer. But Phoenix's solution is much cleaner.
me looking in the comments to see if anyone solved the last one...
These are really fun, especially the log of Steve with exponent Parrot.
The answer (according to me):
Negative power 1 means the derivative of horse is a denominator, or 1/(d/dx of horse)
Multiplying by derivative of Steve basically gives
Steve over horse. Literally.
But then what's the derivative for?
@matthewmitchell3457 Nothing. The d/dx in the calculation is there as a fraction, not a derivative. Something something comedy.
Come to think of it, this 9 month old comment should be recreated more elegantly. How about this: (H is horse, S is Steve)
(d/dx * H)^(-1) * (d/dx) * S
= 1/(d/dx) * 1/H * (d/dx) * S
= S/H * (d/dx)/(d/dx) [rearranging]
[If anything divided by itself is 1, then:
(d/dx)/(d/dx) = 1]
= S/H
Steve over horse. That's it.
ok seriously tho why did nobody try to answer the last question in the comments aaaa humanity failed or something
@@drenzine If that's true, it seems like a lame and cheap red herring to make the puzzle harder, if I'm honest. I mean, we're here talking about functions and inverses and derivatives, and the trick is just "Psych! All the context clues and mathematical conventions are telling you d/dx means one thing, but you were misled cause you didn't think to read my mind! Bet you feel stupid now!"
@matthewmitchell3457 I mean, what the heck does a derivative of a horse or a person mean anyway?
In my opinion abs of nether is overworld because it's under the overworld. So we can put them on the right and left side on the number axis, where nether = -1 and overworld = 1. But abs of end is also equal to overworld, because it's an "imaginary" world on the imaginary axis, so end = i
no math, it's from hardest to weakest. The strongest ice in the game is blue ice, then it's packed ice, then it's ice. The last one is "frosted ice", a state of ice that can only be accessed by a special command, and it's the ice from frost walker enchantment (thats my guess)
turns out its just water☠️
4:29 Steve riding a horse, too easy
Steve riding a mule not a horse
As a person who doesn’t understand math, I can confirm that I don’t understand math
As a math nerd, I absolutly love this kind of content !
Actually knowing calculus makes this pretty fun. Like I'm not trying to flex it legitimately is cool getting these jokes.
Is this what my math teacher meant when he said "this will be used later in life"
2:33
A skeleton horse named Dinnerbone or Grumm, being ridden by a Skeleton?
Should I be proud that I understood every mathematical interpretation or concerned that I understood every Minecraft context with it?
H != 0 & X != 0
H = Horse, S = Steve
(D*H / D*X)^-1 * D*S / D*X =
= (H/X)^-1 * S/X =
= X/H * S/X =
= X*S / H*X =
= S / H
I don't get it ... Steve is divided by horse
I think what it means is that Steve is riding a Horse, or maybe a Horse is riding Steve
Considering how much I struggled with Calculus in College, this was a big breath of a fresh air
I just finished taking a pre calculus class, I should’ve have failed this-
Water is denser than ice (ice floats in water), so the thing that would continue the getting-less-dense trend would be steam or water vapour. Maybe a minecraft cloud?
Teacher: the test isnt hard
The test:
1:49 is the answer the Aether? iirc the two lines are absolute values, which would make any number in between positive. Nether could be interpreted as negative, so Aether would be positive.
I believe its the overworld. Havent finished the video.
I think it's the end
think overworld as 0, so end is 1, and nether is -1
The Aether would also make an extra pun spelling-wise. N = Negative; A = Absolute. (N/A)ether
I guess it could be both the Aether and End. The End used to be the Sky Dimension anyway.
I was gonna say that it should be the aether
1:46 if you squint really hard, you can see a fire fly
3:53 there is a "sign" function, usually written as "sgn(x)"
Indeed! Though it's also called "signum" frequently, while "sin" is always read as "sine" (except by the misinformed or really lazy who read it as a word... Which is how some of the sine variants started getting pronounced weirdly >_>)
Derivative of horse with respect to x is zero (assuming horse is a constant)
0^-1 is headache
Derivative of steve with respect to x is zero (assuming steve is a constant)
So we get 0^-1 * 0
Phoenix is the only guy I know who can make a Minecraft video confusing and not have it be about commands or redstone
After finishing a pre-calculus class, I understand this.
"Leave a comment if you know the answer to this"
Everyone: *The answer is yes*
Calculus is what happens when you let mathematicians run wild, questions created by the utterly insane
well calculus was mostly developed by Newton during a plague, so calculus is what happens when you put mathematicians in quarantine😄
Calculus is what happens when you want to do math on something that’s changing.
calculus is what happens when some drunk mf tries random equations because he is bored
Calculus is the thing I like to do in my free time with solenoids. This is far beyond calculus (and does in fact need 1000 IQ).
I should clarify my position on calculus, Im from the UK and we were never taught this so it completely baffles me that people can comprehend this, if you're going to go into a high educational subject that needs calculus I can understand needing to learn it but imo I think most people only need to know basic equational maths and geometry and you'll be fine
Do you call the dining table a dine table? Do you call the dressing table a dress table? Then, why do you call the enchanting table, the enchantment table?
Stay in school kids, it'll help you understand Minecraft jokes
Phoenix would be a great math teacher
The first video of the year that I actually enjoyed on your channel. I had some hope and it didn't fail me.
As an engineering major, I found these very fun! Please do more!
4:06 If I ever have a math teacher that plays Minecraft I will show this to them
I loved the Steve riding a horse equation it was so cool xD
Let’s say change horse to H and Steve to Z, hence the equation (d/dx)(h)^-1=(d/dx)(z).
To solve the equation (d/dx)(h)^(-1) = (d/dx)(z) for h and z, we can integrate both sides with respect to x. without additional information, we won't be able to determine unique solutions for h and z. So we proceed with the integration:
∫ (d/dx)(h)^(-1) dx = ∫ (d/dx)(z) dx
To integrate the left side, we can use the chain rule:
∫ (d/dx)(h)^(-1) dx = ∫ (dh^(-1))/(dx) dx = ∫ (dh^(-1))/(dh) * (dh)/(dx) dx
Since (dh^(-1))/(dh) = -h^(-2), the integral becomes:
∫ -h^(-2) dh = -1/h + C1
where C1 is the constant of integration.
Similarly, integrating the right side gives:
∫ (d/dx)(z) dx = ∫ (dz)/(dx) dx = ∫ dz = z + C2
where C2 is another constant of integration.
Now we have:
-1/h + C1 = z + C2
Rearranging the equation, we can express h in terms of z:
h = 1/(C1 - z - C2) = 1/(C1 - C2 - z)
So, the solution for h in terms of z is h = 1/(C1 - C2 - z).
Likewise, we can express z in terms of h:
z = -1/h + C1 - C2
Hence, the solution for z in terms of h is z = -1/h + C1 - C2.
I haven't brushed up on my calculus in a bit but from what I can tell, phoenix's problem can be written as (the derivative of Steve) divided by (the derivative of horse), unless I'm interpreting it incorrectly. In this case the derivatives would cancel out giving an answer of Steve divided by horse, which can be interpreted in Minecraft terms as Steve riding a horse. Feel free to let me know if I got anything terribly wrong 😭
CORRECTION: So I was incorrect in saying the derivatives would cancel out, sorry about that 💀
Still, I feel like the interpretation of Steve riding a horse is correct, because I have no idea how it would be interpreted otherwise 🤷
Derivative notation is annoying. While they look like fractions, I don't think they cancel out like that in this case. The expression would simplify to (Steve)'/(Horse)', where ' denotes the derivative. Idk if this is an error on Phoenix SC's behalf, but it's written wrong if this is the intended solution. I interpreted it as Steve riding a dinnerbone horse, both moving.
Edit: I might be incorrect. I was taught to never simplify derivatives like this, so I'm not actually sure if this is true.
Edit #2: Nope, they don't simplify like this. With Steve = g(x) and horse = f(x), WolframAlpha gives (g'(x))/(f'(x)).
Thats the answer that I got. Steve over horse
“The derivatives cancel out” lol I wish
Edit: so stick with me, the derivative of horse is skeleton horse, the derivative of Steve is skeleton. Skeleton over skeleton horse is skeleton horseman??
I was actually going along the same thought thread. I was hoping it was correct.
@@pat9353 This makes a lot more sense than my interpretation lol
Just from seeing the thumbnail I thought the answer was going to be Captain's Log
Hello, hope everyone’s having a great day!
🙂
Thanks, you too!
I'm literally getting ready for bed right now it is 9 40 pm in Manitoba Canada and I am tired but I just couldn't sleep until I watched the latest phoenix sc video
2:12 i love how he doesn't say "steve with a parrot on his shoulder" he instead says "parrot on steve's shoulder." implying that the parrot is the more important thing.
I like this stuff, you should do more of it!
I don't understand calculus enough for this
Never thought about viewing this type of PheonixSC content
BUT I LOVE THIS, WE NEED MORE EPISODES OF MATH WITH PHEONIX
1:38 Ok, that’s pretty good, I get that one.
Oh, its literal
I immediately picked up on "log" (logarithm) but "Steve with a parrot" eluded me for longer than it should have
Man I've been out of school and I miss math a lot (to a certain extent) but these bring me great enjoyment seeing math depicted this way. You made my day Phoenix. Very cool 👍
I’m dying from all the people saying that d/dx cancels out for the last one 💀
So basically with -1 as an exponent, the d/dx horse becomes 1/(d/dx horse). Then you cross multiply putting d/dx Steve as the numerator. Both of the d/dx cancel each other out so you're just left with Steve riding a horse.
d/dx don’t cancel out.
Division of derivatives don't cancel out.
Oops, the answer still correct tho yeah?
@@ItsStormCentral no
@@ItsStormCentral not the intended answer, but there's still an interpretation that leads to _an_ answer being "de Steve on de Horse"
Using the chain rule property of derivatives. But yeah, the intended answer is different from this line of thinking.
this video is to advanced for my brain
Same for everyone.
yes, I like this kind of stuff : I like math and I like minecraft
Didn’t get the mangrove meme, because “ln” in french (I’m french) is not “natural log” but « logarithme népérien » (neperian log), and sign in french is « pancarte », which is not actually close to “sinus”
Minecraft is about killing wandering traders, not building
School is about grades, not learning,
But watching phoenix sc videos is the thing that you need to learn
3:42 the only one I understood💀
these puzzles are awesome
So my thought is, the derivative of horse is a skeleton horse. The derivative of the player, is a skeleton. The inverse could be rewritten as (skeleton/skeleton_horse) implying the skeleton is riding the skeleton horse.
So the answer is of course the skeleton horsemen!
Absolute value of the nether is the end÷8 actually
But Mr PheonixSC, I failed calculus, how am I supposed to understand these HILARIOUS Minecraft memes?!?
3:14 (Nice, Pi) I already disagree, the integral counts area under a function, while a sum only sums up its values, therefore the answer should be the same set of stairs but filled with stone blocks to the bottom
2:49 *entchantmenting table
*Enchantingmenting table
I have -1000 IQ, what happens if I try?
You fail math class.
you'll get the exact opposite of the answer, so invert your answer and you'll get it right.
you immediately explode
I think you’d create the problem
Nothing.
You drug the concept of absolute values kicking and screaming from the depths of my mind. I’m amazed I remembered what those lines were.
For some reason I thought the log one was gonna be about the TREE(n) function
1:21 it is the disenchantingment table
Its called a grindstone
steve over horse ? If i understand correctly 2:35
Oh, another furry. Hello random person from *our* community
You have a protogen pfp, that's how i know ur a furry
3:50 should be the aether biome
I think that the end would be -2
I love these, would absolutely like to see more! Next time, maybe even include some physics jokes?
I have an alternative answer to the final question that i haven’t seen anyone else come up with. To get this answer you have to ignore calculus and assume that “d” is a generic variable. in this case, the ds would cancel out, leaving you with (1/x * horse)^-1 *(1/x * steve) 1/x * horse = horse/x, and 1/x * steve = steve/x (horse/x)^-1 = x/horse, x/horse * steve/x = stevex/horsex, the xs cancel leaving you with steve/horse meaning steve is riding the horse.