know the difference!

@theartofmadeline
Xuebing Du

shark vs the universe

pixel skylines
let's talk about Bridgerton tea, my ask is open
Cosimo Galluzzi
Aqua Utopia|海の底で記憶を紡ぐ
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bliss lane
YOU ARE THE REASON

oozey mess
NASA

PR's Tumblrdome
Jules of Nature

JVL
RMH
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Sweet Seals For You, Always
Show & Tell

Kiana Khansmith

seen from Malaysia
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@bucketfool
know the difference!
Look at my birthday cake...
side benefit of communal all-gender restrooms is that they may be our best chance to shame cis men into washing their hands
i was in a communal all-gender restroom today and as i was washing my hands a middle-aged man came out of one of the stalls, started to make for the door, clocked me standing at the sinks, and changed course to wash his hands with a real hangdog look on his face
Collins is gone.
Namaygoosisagagun First Nation/Collins has burned to the ground. The entire community is nothing but ashes after being quickly consumed by wildfires. They did not have any support from emergency services, and no one offered aid. The community saved themselves by escaping into boats because no one came.
Mishkeegogamang and Cat Lake have lost power. Families are ending up in shelters with nothing. Armstrong, Lac La Croix, Whitesand, Gull Bay, Lac des Mille Lacs are currently in the fires path and all members are being evacuated.
All this loss, all this devastation, and it was entirely preventable.
After steadily underfunding wildland firefighting and purposefully excluding Indigenous wildland firefighters and Indigenous wildfire organizations from wildfire operations, firefighter training, decisionmaking, and resource exchanges, in 2025, Doug Ford slashed the forest firefighting budget.
It's hard to ignore his decision to cut funding and leave us out of adequate fire training (even though we've lived with forest fires for thousands of years—far longer than settlers have been in Canada—and made sure fires like the ones we're all seeing today were prevented through kinisitotēn) when, despite making up less than 5% of the population, we account for 42% percent of all wildfire evacuations in Canada.
And when we are successfully evacuated, we face discrimination and racism—like Kashechewan—because it's always been easier to blame us than it is to blame the true culprit: denialism, corportate greed, and colonization.
The people of Collins and every other impacted community deserve better.
Right now, the AFN is currently accepting donations to help Collins First Nation. If you're able to, please consider donating.
ONWA (Ontario Native Women's Association) is another great place to donate to. They have outreach vans going to motels and inns and offering food, water, resources, and cultural support to those impacted by the wildfires.
Other places to consider donating to are Mikinakoos Emergency Fund, Red Cross, True North Aid, Indigenous Climate Action. You can also send donations directly to Whitesand First Nation via e-transfer ([email protected]) and they request that you add your full name in the e-transfer comment section to receive a tax receipt.
*Before sending money, verify that the appeal appears on an official First Nation, Tribal Council or registered charity channel.
If you can't offer financial support, please consider donating items of need. Moontime Connections is currently accepting drop-off donations. If you live in the Thunder Bay area, Namaygoosisagagun Health Office is also taking in donations! They can also bemailed to Superior Inn Hotel & Conference Centre at 555 West Arthur Street, Thunder Bay, ON, P7E 5P8.
items needed are: food, diapers, medical masks, men’s and women’s joggers (all sizes), children’s clothing (newborn to size 14), children’s shoes, summer clothing, men’s clothing, toiletries (lotion, Vaseline, toothpaste, toothbrushes, shampoo, conditioner, soap, deodorant, etc.), strollers, adult depends-all sizes, dog & cat food
wīya ispīh iyiniw-kiskīyihtamowin pasikōpayiki kāwi askiy ta-iyihyīmakan
i think it is important to recognize the ways in which your favorite thing sucks. i think it keeps u normal
prev im so sorry to put you on blast like this but please know this had me in hysterics
top five worst ways to be found:
5. out
4. guilty
3. wanting
2. lacking
1. by this email
It has come to my attention that I forgot about dead
idk obviously dying is pretty bad but by the time youre found dead its not really your problem
''what if you regret it'' then you will expirience regret - a normal and unavoidable part of the human expirience.
the more you twist yourself into a pretzel to avoid regret the harder it will hit when it eventually catches up to you.
as a writer you will have a specific deck of vocab words you like using a lot and when you read other peoples' work you will see a very clear spread of different vocab words on their end. this is why you need to read, to collect other writers' words like it's a card game
I don't think this is possible????
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.
They were right, 99% of people can't solve it.
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.
Lots of drama in our household
Reblog to give prev the power to write their fanfiction
Reblog to give prev the TIME to write their fanfiction
Reblog to give prev the hocus focus to write their fanfiction.
Reblog to give prev the energy to write their fanfiction
Reblog to give prev the executive function to write their fanfiction
Writers cannot watch a movie normally. we are sitting there going "oh that's the inciting incident" and "they introduced that object too early it's obviously coming back" and "this dialogue is doing three things at once good for them" while everyone else is just. watching the movie. having a normal experience. feeling feelings without labelling them. i envy that so much and i would never give it up.
System wallpapers from Windows XP's RTM, Build 2600; Microsoft Co., August 24, 2001.
“Media can be factually made with a child/family audience in mind” and “media for children/family audiences can be well made and engaging pieces of art” and “if you are an adult you should have a more diverse media diet than what exists to target an audience of primary middle and grade schoolers” and “it’s okay to watch a cartoon as an adult and enjoy it” can coexist.
i forgot to post this but which one of you lame ass nerds works at my dentists old office
sometimes when I get mad online I have remind myself that the coolest and most reasonable friend I have doesn’t know who dril is and asked me to explain what the acronym “MCU” stands for, because she spends most of her free time watching documentaries about industrial disasters with her girlfriend and going to quarries to collect rocks together. a better world is possible and it’s out there right now
i bet girls hated it in 1902 cuz you would constantly go on dates w guys who are working on an invention to present at the world fair