[zmpl]

[doomtemparts]

one of my friends in a discord server was talking about how they were nervous about their first scheduled acupuncture appointment. another friend offered to do a tarot reading for them. sent this picture.

[100493503004422]

refusal to participate due to self consciousness is actually more embarrassing than participating. it took me a very long time to figure that out. abject fear of embarrassment is actually causing you to do things that are more embarrassing than what you fear. you are gonna be embarrassed anyway. let go and be free

[kosmogrl]

[growtiredofpublicvulnerability]

real af this is genuinely me after deciding to get up and cut some apples

[girlnephew]

[ryanthedemiguy]

I don't think this is possible????

[physicallyimprobable]

Hello Ryan I am here to help. So the first step is pretty easy: Three cheeseburgers are worth 18, so each one is worth 6. If these are dollars, that's a steal!

From the second equation we get that cheeseburger plus fries-squared is five. Subtracting cheeseburger, which is six, from both sides, we get that fries-squared is negative-one. Math fans will know that there are two solutions to this; either fries are the "imaginary unit" 𝒾 or they are its negative, -𝒾. We'll do the rest of the problem with 𝒾, keeping in mind that at the end we should also take the complex conjugates as solutions.

Finally, we have that cup to the power of fries, minus cup, equals three. Replacing fries with 𝒾, and moving a cup to the other side, we get that cup-to-the-𝒾 is equal to cup-plus-three.

Now, the weird part about this is the cup-to-the-i. The problem with this is that complex exponentiation is technically not a thing. That is to say, there is no one function which is mathematically equal to "input-to-the-power-of-𝒾". In fact, there are infinitely many such functions.

Fortunately, due to reasons that take about six pages to explain (trust me I've done it), there is one particular function that many people have agreed is "the most reasonable one". This is not a mathematical notion, but a human preference. Seeing as this question was presumably written by a human, I am comfortable with using this function.

So, what function is this? Well, given a complex number r∠θ written in polar form (if you don't know what that means don't worry), where -π < θ ≤ π, then (r∠θ)^𝒾 = e^(-θ)∠ln(r).

Applying this to our problem a value r∠θ will be a possible solution for cup if e^(-θ)∠ln(r) = r∠θ + 3. Splitting this into real and imaginary parts, we get two equations: e^(-θ) cos(ln(r)) = r cos(θ) + 3 and e^(-θ) sin(ln(r)) = r sin(θ). We can graph these equations on Desmos:

The possible values of cup are the intersections between the red, green, and purple. There are infinitely many of these which have an angle of around -π/3, and there are two weirdos: One which is a complex number very close to -2.98, and one which is somewhere around -25. The possible values for cup are all of these infinitely many solutions, and also all of their complex conjugates.

[sharkgirldick]

They were right, 99% of people can't solve it.

[peelerofpotatoes]

i've actually been working on some formulae to give all possible solutions to complex exponentiation problems recently, so here's my take on this:

let the value of the glass = z, for z ∈ ℂ:

z^(±i) = 3+z

let z = r·e^(iθ) for r,θ ∈ ℝ, -π < θ ≤ π

∴ z = r·e^i(θ+2πn) for all n ∈ ℤ

∴ (r·e^i(θ+2πn))^(±i) = 3+r·e^i(θ+2πn)

distribute powers (apologies for the use of ∓):

r^(±i)·e^(∓(θ+2πn)) = 3+r·e^i(θ+2πn)

convert to the same base:

e^i(±ln(r))·e^(∓(θ+2πn)) = 3+r·e^i(θ+2πn)

split into real and imaginary components:

re: cos(±ln(r))·e^(∓(θ+2πn)) = 3+r·cos(θ)

im: sin(±ln(r))·e^(∓(θ+2πn)) = r·sin(θ)

in effect, all this changes is the restriction on the domain of theta to be between -pi and pi, so you can just ignore that constraint.

[inthefallofasparrow]

[loveridden1999]

― Vincent van Gogh

[fuckthisshit-ugh]

please read this even if you're not indian. especially if you're not indian.

you've seen the jokes. india is "dirty", indians are "everywhere", why don't they fix their own country. ok. let me tell you why, and what's happening right now while nobody's watching.

first, the history you skipped: britain ruled india for two centuries and drained it. economist utsa patnaik's research estimates around $45 trillion in today's money was taken. the india that got independence in 1947 was one of the poorest countries on earth. every "why is india like this" question starts there. you don't get to profit off a robbery and then mock the crime scene.

now, what's happening RIGHT NOW:

in may the question paper for NEET leaked. that's the national medical entrance exam. over 2.2 million students took it. cancelled. years of studying, families' savings poured into coaching, gone overnight because someone sold the paper. students died by suicide after. these were kids who wanted to be doctors.

and out of that came a protest movement. a gen z group called the cockroach janta party, started by a 30 year old named abhijeet dipke, got 22 million instagram followers within DAYS. they've been doing a sit-in at jantar mantar in delhi demanding education minister dharmendra pradhan resign.

and then there's sonam wangchuk. if you've watched 3 idiots, he's the real engineer the character was based on. built solar schools in ladakh. invented ice stupas so himalayan villages have water. spent his whole life on education. he's 59 and he's been on hunger strike for 17+ days now. reporters went to see him this week and he was too weak to talk. and the troll armies are calling him "anti national" and "foreign funded". a man starving himself for other people's children. that's the thing here, anyone who asks a question is suddenly a traitor.

it's not one incident, it's everywhere you look:

• infrastructure worth thousands of crores failing within months of the ribbon cutting. tunnels collapsing in regions where heavy rain is a guarantee, not a surprise.

• youth unemployment near 10% for ages 15 to 29, 13.6% in cities. in a country of 1.42 billion where more than half the population is young.

• only about the top 3% of indians earn above 10 lakh a year. meanwhile billionaire wealth keeps ballooning and the headlines celebrate it.

• manipur burned for over two years. an ethnic conflict, tens of thousands displaced, and the prime minister barely said the word manipur while it happened.

• journalists raided. critics' houses bulldozed. activists sitting in jail for years without trial under laws like UAPA. our press freedom ranking has cratered.

• even the petrol is a fight now, ethanol blending pushed through while drivers complain about their engines and get no straight answers.

and through all of it, the PM, who came to power on religious polarisation (americans, sound familiar?), travels abroad for photo ops and has not held one single open press conference in over a decade. not one.

what i'm asking:

if you're not indian: share this. our media mostly won't cover any of it because the big outlets are owned by the same billionaires the government serves. the only reason wangchuk's fast is getting any coverage is people refusing to look away.

if you ARE indian: speak up even if you're comfortable. especially if you're comfortable. join the protests. add to this, correct me, translate it. staying quiet is a choice when nothing in this post touches your life.

india is not "dirty". india was robbed, and it's being robbed again, from the inside this time. but it's also the country where a 59 year old will starve for strangers' kids and 22 million young people will rally behind a party literally named after cockroaches, because cockroaches survive everything.

we can still save her. but only loudly.

reblog. share. don't scroll past.

[k3bchu]

SP requests

[bedupolker]

Scary Movie

[glowwormcentral-deactivated2021]

[lawyer voice] mothers and fuckers of the jury-

[hellenhighwater]

DO YOU KNOW HOW OFTEN I THINK ABOUT THIS POST??? IM IN LAW SCHOOL THIS POST IS GOING TO RUIN MY LIFE

[toontwink]

reblog to ruin a law student’s life

[theshitpostcalligrapher]

oh hello you’ve returned to us

[hellenhighwater]

Hi. I’m a trial attorney now and every last one of you is a motherfucker.

[bananonbinary]

one of the hardest things to learn as a depressed former Gifted Kid™ is that half-assed is better than nothing. take the 50%, 40%, even 20% job. scrubbing your face is better than not taking a shower at all. picking up your clothes is better than never cleaning. nibbling on some bread is better than starving.

DO THINGS HALFWAY. NOW YOU’RE 100% BETTER OFF THAN YOU WERE BEFORE.

[redheadhatchet]

One of my college professors used to say “anything worth doing is worth doing poorly.”  I didn’t understand that for years because I didn’t do anything poorly, I couldn’t do anything poorly, I had to Do Everything Perfectly.

But brushing your teeth for 30 seconds is better than not brushing them at all when that 2 minutes seems exhausting.  Doing ten minutes of yoga is better than 10 minutes of sitting when 30 minutes of cardio sounds impossible.  Changing my clothes is good when a whole shower is impossible.  Standing on the porch for a few minutes is worth it after being in the house for three straight days because I don’t have the energy to go anywhere.

Anything worth doing is worth doing poorly… because doing it poorly is better than not doing it.

[resetium]

someone please hit me over the head with this post every day for like the next week thanks. a mention, a reblog with text, a message, something.

[blackwoolncrown]

You must understand that perfectionism isn’t striving for excellence, it’s a crippling fear of being flawed and therefore worth abandonment or punishment. It’s a kind of psychological avoidance. You’re avoiding fear and failure , not embracing the thing you want to do bc if it was about the thing you want to do you’d be fine with partial victory.

[irradiatedsnakes]

you cant just say that man

[normalpersonblog]

(thinks about something someone said 2 months ago) Fuck you

[templetv-deactivated20260211]

hey can you come over and surgically remove this heavy, aching rot from my heart? we can watch a movie afterwards

[yearofdoodles]

Rocky's foolproof prank 🪨😈

- based on this by @stealthetrees

[stealthetrees]

Rocky should have an identical twin and they conspire to prank Grace so the twin goes to visit him pretending they’re Rocky but Grace instantly knows it’s not cause they’re different colors despite being the exact same shape and texture.

[zevampirex]

I have cry, and never have felt better after. I don’t think I have ever found a movie that feel so much like a blanquet, so sweet and cozy, and so full of love