Necessary and sufficient
Adding a second lock was not necessary.
Understanding the difference between necessary and sufficient is necessary, but not sufficient to earn a math degree.
Part 2
Gladly!
A bit more complicated, but sure!
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@perspicaciousembroiderist
Necessary and sufficient
Adding a second lock was not necessary.
Understanding the difference between necessary and sufficient is necessary, but not sufficient to earn a math degree.
Part 2
Gladly!
A bit more complicated, but sure!

Anya is live and ready to show you everything. Watch her strip, dance, and perform exclusive shows just for you. Interact in real-time and make your fantasies come true.
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that is the face of a man worried he will be next
Good news, he was not next! In fact, she accepted him as her mate, he learned the crane mating dance and now every year, he artificially inseminates her with crane semen to expand the very endangered crane population. True story.
Sorry, he WHAT? Imagine being this man's boss and having to sit him down like. Listen. Brian. We need you to fuck the bird. You have to act like you're excited about it.
crane husband.....
this is the diametric opposite of all those awful swan wife stories and i love it.
(WalWaPo makes you jump through like three separate hoops before you can read the article, so I will share some of the highlights:
Walnut was born in a species-recovery breeding program in the 1980â˛s. The program had crane chicks hand-raised by human volunteers, and at that time they did not fully understand the measures necessary make sure that the chicks do not imprint on humans and retain their identity as cranes. Â
As a result, her keepers believe, Walnut does not recognize other cranes as members of her own species. Â
It has not been proven that Walnut killed her previous suitors; however, there is a persistent rumor in the white-naped-crane-conservation community that she did. Â
Because this species is highly endangered, and the gene pool of the captive population is small, itâs pretty important for the survival of her species that Walnut A) mate, and B) not kill a bunch of other cranes. Â
The actual name of the keeper is Chris Crowe.
They both arrived at the Smithsonian Conservation Biology Institute in 2004. Â
Walnut immediately began paying special attention to Chris--and ignoring the eligible male crane in a nearby enclosure. Â
Walnut initiated their courtship, performing the opening moves of a mating dance. Â
Chris realized that if he reciprocated the mating dance, it might be possible to artificially inseminate Walnut with her participation and consent. (The process normally involves restraining the bird.) Â
It worked! Â
Chris and Walnut have had five children, who were raised by other crane couples at the facility--sometimes the biological dad and his mate--both because itâs unclear whether Walnut would accept the chicks as her own, and because Chris is not equipped to be a Crane Dad. Â
However, the Institute provides her with artificial eggs to sit on, and Chris takes his turn looking after them. (This would not work with real eggs because he canât sit on them properly, but Walnut seems to feel that he is on the job if he just stands over them.)
Chris accepts that he is pretty much married to this bird. White-naped cranes live to be about 60, and they mate for life, so he knows he canât retire while Walnut is alive. (At the time of the article, Walnut was 36, and Chris 42.) Â
Legit cannot pick the funniest part of this
she has not been PROVEN to have killed her exes, but there is a PERSISTENT RUMOR (really officers she's simply DEVASTATED, she sobs, wearing a new feather boa unfortunately resembling her most recent deceased husband)
His name is Chris CROWE. (Mrs. Walnut Crane-Crowe?)
the mental images of a whole human man learning and performing the crane mating dance, and "sitting" on artificial eggs so she thinks he's performing his duties as a husband and father (and apparently OBJECTS if he does not?)
"chris, buddy, you gotta marry the possibly-murderous crane lady for the GOOD OF THE SPECIES." (alternately: "chris, my man! good news! we found you a very interested lady! She's 36, she's very spirited and independent, she holds a very important and rare status in her society! ...Is there a downside? WELL...")
chris sits any potential human partners down, like "my love, you must understand before we wed,,, i am already... Attached" (camera drifts wistfully to the above photo) "Lady Walnut and I have an,, Understanding... the relationship is open, but very committed"
just had to explain this post to my father bc he thought my stifled laughter was a signal of illness.
well done, everyone, good game. hit the showers.
Not only is he 'married' to walnut, this has apparently happened SEVERAL times, so he has MULTIPLE crane wives, none of which know about any of his other crane wives. This man is, for some unknown reason, irresistible to cranes
the âthis content has been removed for violating Tumblrâs Community Guidelinesâ notice really adds a lot of flavor to this post and somehow makes it MORE obscene than whatever that actually was
World Heritage Post
I regret being the bearer of bad news, but I thought it should be shared that Walnut passed away in January of this year (2024). There's a lot of mixed info about the lifespan of cranes (due to people misunderstanding what a median is...) but the average for most species I know of is 20-30 years (in the wild if nothing eats them/they don't die young), and 30-45 in captivity, with the oldest known white-naped crane having loved to be 46. Given that she was 42, this old gal did good, and I'm certain she will be missed by folks here.
Fly on forever Walnut Crane-Crowe
Trevor Noah interviewing Judith âBadassâ Heumann
x
Iâm glad so many people have discovered Judith âJudyâ Heumann through this silly little gif set. I am sorry to say she has died at the age of 75. She was known as the mother of disability rights. In 1970 she sued the Board of Education to become a licensed teacher and she won. In 1977 she was one of the organizers of the 504 Sit-in, a 24 day protest for disability rights. You can learn more about her story from her book Being Heumann, the picture book Fighting for YES! or the documentary Crip Camp.
Judy Heumann believed in the inherent value of each disabled individual and would never back down on what she thought was right. Her friends and fellow activists remember her as a strong leader.
Judy Heumann
December 18, 1947 - March 4, 2023
May her memory be for a blessing.
Movement nudge, hand mobility! đ
X
1) do this even if you're under 40. seriously. I definitely should have been doing something like this for years and I only turned 40 a month and a half ago
2) if you're like me just now trying this going "oh god i've only done 15 and i think my hands are cramping" start lower than 30 and increase by 5 once whatever number you're doing no longer makes your hand cramp up. I can manage about 15 per exercise at the moment.
If you're hypermobile, be especially gentle.
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.
The movement, which began as a satirical protest, has evolved into a nationwide challenge to Prime Minister Narendra Modi's government.
Supporters of India's youth-led Cockroach movement said Tuesday they will continue their protest in New Delhi, refusing to leave their sit-in site a day after police used tear gas and batons to disperse thousands of them as they tried to march toward Parliament. Hundreds of protesters camped at Jantar Mantar, a designated protest site, under heavy police presence, saying they would stay until Education Minister Dharmendra Pradhan resigns over alleged failures in India's examination system. "We are going to continue our protest," said Abhijeet Dipke, founder of the Cockroach Janta Party, which emerged just two months ago. The movement, drawing students, professionals and families, marks a rare public challenge to Prime Minister Narendra Modi 's government in its third term, reviving criticism over its handling of dissent and its use of force to respond to protests. [...] Sona Bisht, a 20-year-old student who was part of the protest, said the confrontation strengthened her resolve. "If the government thinks that doing this with Gen Z, they can stop us, then that won't happen. We are here talking about education, talking about securing our future. And till the time our demands are not met, we will not move from here," she said.
"Definitions developed thus far about youth, like the Gen Z narrative, have largely been linked to roles attributed by the dominant system. The rulers have invented a whole range of terms â rebellious, irresponsible, apolitical, extremist, consumerist â not to understand youth, but to neutralize it. They know as well as we do that whoever wins over the youth wins over society. [...] Thus the question is not whether youth is powerful, but in whose interest this power is directed. Todayâs uprisings â such as those in Nepal, Bangladesh, Madagascar, Indonesia, Kenya, Morocco, and beyond â demonstrate that youth continues to emerge as a decisive actor. Young women like Deniz Ciya have proven this with their lives. These uprisings are not expressions of generational temperament. These âGen Z uprisingsâ are expressions of a social force confronting structural crisis inherent in the current system. [...] Recent youth uprisings â whether in the form of environmental justice protests, labor movements, or uprisings against authoritarian governments â are proof that youth worldwide are not only responding to a set of circumstances; they are consciously and collectively rejecting the narratives that seek to define them. Thus, it is crucial to analyze what transpired, and draw lessons from these uprisings, particularly in the context of building a global youth democratic confederalism. For the power of youth movements is interconnected, despite being geographically distant." â "Beyond "Gen Z": Defending Revolutionary Youth Spirit" by LĂŞgerĂŽn
"The youth in general, and especially the young women, are the spark of every revolution.We canât look at the history and found a revolution without the youth. We are a fundamental factor. We should be aware of this reality, we should take conscience of our historical role. By doing this we will provide ourselves with a plan that will allow us the unity of action and objectives. The Youth should not be condemned to be a slave of the capitalist system. [...] If we reject the labels and mentalities imposed by the system, taking consciousness as Internationalist Youth in a global level and organizing ourselves, is there someone who can stop us?" â "The youth is the spark of every revolution" by LĂŞgerĂŽn.

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"why is all trans music [insert modern genre] why canât we ever make rap or country or something" <- person who has never so much as attempted to listen to anyone but the top 3 trans artists
this is absolutely an invitation to tell me about some cool trans bands btw. TELL ME ABOUT THEM
here's a small list of trans bands/artists i listen to! (round 2 because tumblr deleted my 1st draft)
this is mostly off the top of my head, will update as i remember more
rok & dudu - rap - french
a duo of rappers i had the chance of chatting with after a concert! rok is a trans man
THĂA - hyperpop - french
i went to one of her concerts this year! i bumped into one of my siblings that i didn't know was going too and came out to them that day
rok, dudu and THĂA are friends and have made a few songs together
graphy-T - electro/hyperpop - french
a friend introduced me to their music! they're a duo of two women, one of them is trans
changeline - trap - english, french
her songs are literally so good i love her music so much
the transatlantics - alternative rock - english, french (only in the intro of one song so far)
band that was formed last year, composed of kayla @kaylasartwork, bubble @bubbleverseart, and leĂŻla (who doesn't have a tumblr blog afaik). i am impatiently waiting for them to have a concert close(ish) to where i live so that i can buy the cd of their debut album, aptly named the transatlantics
NOAHFINNCE - pop rock/pop punk - english
i only recently started listening to his music, so i don't really have any anecdotes; what i can tell you though, is that his music ROCKS. he's a trans man
jer - ska, rap - english
this person singlehandedly revived my love for ska. i love their texts
fem&m - âa moodâ - english
i discovered her music because someone sent me a link to a vid of her making a 9/11 joke. no, i am not kidding. her music scratches an itch in the back of my brain that i can't really explain
feel free to expand this list!
Well I might some good upcoming news @omegasomeone, we're about to announce new upcoming gigs :D
Rubio report on Cuban subversion names Zohran Mamdani, Amy Goodman, Hasan Piker + orgs like DSA and Amazon Labor Union
âMany of the most significant upheavals in recent American political history â from the George Floyd riots to the rise of Antifa to the explosion of pro-terrorist activism on American college campuses â can be linked, in some way, shape, or form, to Cuban influence,â the report says.
As for who these supposed agents of Cuban influence are, the report is remarkably explicit. It names people like Ben Cohen (of Ben & Jerryâs ice cream fame), Mayors Zohran Mamdani and Karen Bass, media figures like Amy Goodman and Hasan Piker, and organizations like the Democratic Socialists of America and the Amazon Labor Union.
The implication is clear: Secretary of State Marco Rubio thinks there should be a modern-day blacklist of the political left in America. In fact, the report explicitly mentions the âblacklists, McCarthy-era investigations and prosecutionsâ of the 1950s and their effectiveness at dismembering the Communist Party USA.
The 100-page report, titled âCuba: The Capital of 21st Century Communism,â was released this morning.
oh so we really are just repackaging the 'judeo-bolshevism' conspiracy but for Latinos and Muslims, awesome
Hey. Why isnât the moon landing a national holiday in the US. Isnât that fucked up? Does anyone else think thatâs absurd?
It was a huge milestone of scientific and technological advancement. (Plus, at the time, politically significant). Humanity went to space! We set foot on a celestial body that was not earth for the first time in human history! Thatâs a big deal! Iâve never thought about it before but now that I have, itâs ridiculous to me that thatâs not part of our everyday lives and the public consciousness anymore. Why donât we have a public holiday and a family barbecue about it. Why have I never seen the original broadcast of the moon landing? It should be all over the news every year!
Itâs July 20th. Thatâs the day of the moon landing. Next year is going to be the 54th anniversary. Iâm ordering astronaut shaped cookie cutters on Etsy and Iâm going to have a goddamn potluck. Youâre all invited.
Hey. Hey. Tumblr. Ides of March ppl. We can do this
This is a scheduled post for two days before the anniversary of the moon landing. Please get your moon themed items and foods sorted now in anticipation.
55 YEARS
MOON PARTY MOON PARTY
GUYS GUYS MOON PARTY
"lock in" is probably one of the most important phrases to enter the public lexicon in the 2020s
I'm gonna say it, I do think that even the laziest person imaginable should have a roof over their head, food in their stomach, and access to healthcare

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Pictures for Sad Children (2014)
Sometimes you just take time at the library to get some sewing done
if youre in the US (especially the northeast + michigan) i would avoid bagged salads/greens and generally wash your produce very thoroughly unless you want the diarrhea parasite
Michigan is experiencing its largest outbreak of a parasitic infection that causes severe diarrhea. Nearly 1,000 people have been diagnosed
this is not life-threatening, but also who wants weeks of diarrhea and a fucking parasite in them lol. if you suspect you've already had this and it's passed, i would see a doctor. you might need an antiparasitic anyway. if you're actively sick, see a doctor and they might be able to prescribe medication to help you get over it faster.
try to avoid eating raw vegetables, scrub fruit with a produce brush and rinse thoroughly with water. again, don't bother with premade greens or bagged salads. if you buy lettuce, remove the outer 2-3 layers of leaves.
there are UNVERIFIED rumors that the greens have been linked to a company that sources to taco bell. some locations have been actively pulling fresh ingredients like lettuce, avocado, and pico de gallo to mitigate the threat, so i would avoid any products from them just in case. considering how vast supply chains are, i'd be wary of any fast food greens in general for now.
the outbreak is in 31 states as of yesterday, its everywhere. source is still unidentified but is likely in either fresh uncooked produce or in food that was processed at a large plant with contaminated water. cooking food at home thoroughly is advised. removing the outer leaves of lettuce wont prevent infection, the cyclospora is drawn into the veins of the lettuce along with water from the ground.
stick to food you are cooking to a safe temperature yourself at home if possible.
PlayStation Bad
In just the past two months, Sony has:
Said the PS6 will be more than $1000 at launch
Announced the end of all physical PS game releases
While simultaneously announcing the end of two of their console game stores â ensuring multiple games will die forever
Declared that they are wholly dedicated to (A) leveraging A.I. when making games and (B) creating live-service games above all other game types
Announced that if you bought any movies through their PlayStation Store, over 550 of them will soon be deleted from all users' libraries â with no restitution offered of any kind
Gamers, it is time â to paraphrase Robert Vann â to turn Sony's picture to the wall. Any one of these insults would be bad, and taken alone? Maybe it could be swallowed. But this is an ongoing campaign of disdain towards customers, with each declaration worse than the last.
PlayStation does not deserve your patronage any longer. The PS6 must fail. Leave them behind.
Do you guys remember the original Xbox One announcement? Where all games would only have one installation before the disc became useless, the console had to be always online to function, and would be constantly listening to the room around it?
Remember how it got clowned on so badly that the person in charge resigned on disgrace and they did a full 180 on everything they had committed to?
Those were good times.

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australian sour patch kids have gluten in them i am truly at my fucking limit im crashing out im waging war against wheat idgaf anymore
oh is that one of those things where ableist companies put in traces of common allergens so they can just avoid the cost of making it safe
WHAT
A trend we predicted in 2016 continues.
US based but itâs similar reasons in other countries. and of course many companies have international locations. idk if thatâs why itâs happening with sour patch kids but this is a thing
I cannot even explain how ANGRY I am at this.
My nephew is very allergic to eggs, peanuts, tree nuts, and sesame. Last year my sister discovered all hot dogs and hamburger buns now contain sesame. Not "may contain", but listed in the ingredients. This year basically every brand of sliced bread also now contains sesame, making it very difficult to find bread items he can eat.
They're just adding it to their products, so they can just list it as an ingredient and not bother with worrying about cross contamination. And they aren't even bothering with telling anyone. Capitalism is going to kill us all.
"Which brings us back to Kelloggâs. Back in 2016, the company found a way around the added burden and expense of complying with the FSMA: they simply began adding trace amounts of peanut flour to their cracker products. Doing so allowed them to list peanuts as an ingredient of the product, freeing them from having to prevent cross-contact.
At the time, Kelloggâs notified Food Allergy Research and Education (FARE) about the impending change and left it to them to warn the allergic community. In this case, Pearsonâs didnât even bother as near as we can tell."
I wonder if thatâs part of the reason behind my seeing an upswing in products adding corn starch or corn flour to things that didnât have those before? <- rhetorical question, because Iâm certain thatâs whatâs going on.
This Pride, make sure every trans woman that you follow, are mutuals with, goon over, or consume their work in general, has a roof over their head, their bills paid, and food in their kitchens.
You wanna call yourselves allies? This is the work. Do it.
Got my own rent covered but leaving this up again for anyone else who needs to use this, and yes, I'll keep reblogging any additions y'all make.
Meanwhile, still also just trying to cover groceris and gas and internet this week. Total's about 250, and any help would be awesome, even if it's just reblogging.
If you wanna donate, go here: http://paypal.me/tormentedartifacts
Or if you'd rather get awesome stuff in exchange as I get things cleared enpugh to be able to afford shipping orders again, go here: http://tormentedartifacts.com
Please. With the lack of regular sales or business coming in, I'm currently fucked- in need of groceries, meds, and not getting my internet access cut off, i've gott bring in at least 300 today so stuff's covered. Please, throw some loose change at the links up there if you can?