Foci-lin XR

@annabethisterrified you’re

in the post from lemjpanda13, a screenshot of tags reading:

#as the literal social media manager for said telescope i promise i screamed and frothed at the mouth #with the desire to tweet a screenshot of this

in the post from dexmathylphenidate, a screenshot of two replies/reblogs, reading:

@/stuffedgrapeleaves: i can’t believe we’re all young professionals and academics and we’re still logging on to tumblr.com every single day to clown on ourselves. who let this happen

@/a-singular-canadian: Look man this is the only place left im allowed to say clown shit without it impacting my career, just lemme have this

Polynesians did also rely on a form of a physical map called a stick chart, illustrating the specific wave and swell patterns surrounding different island chains. These were particularly helpful during cloudy conditions when the sun and stars were less useful. To navigate the Marshall Islands, the Marshallese represented ocean swell patterns using parts of coconut fronds and shells as islands. Like a subway map, they don’t so much represent distances as they do relationships. The complex and decorative stick charts were often only understood by the person who made them. They were memorised before a voyage by the pilot who would lie on the floor of a canoe to get a sense of swell movement and often lead a squadron of 15 or more boats.

Here's a map of the different Austronesian groups and the hypothesized way they spread.

Yeah we are doing this.

We have had enough of this place. Enough said.

We need money to move, so please spread this around and donate if you can.

1.9k/6k in funds!!!

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:

Think of the classmate who asked the most questions during class. (If you were that person, think of the second most question-asking classmate.) Overall, did this classmate's question-asking impede or help your learning?

Did you yourself ever, or never, ask questions?

SHE NEVER QUITS!!!!

> Elisabeth Bik is on patreon <

forgiving you for making

me sad on sunday

As Google has worked to overtake the internet, its search algorithm has not just gotten worse.  It has been designed to prioritize advertisers and popular pages often times excluding pages and content that better matches your search terms 

As a writer in need of information for my stories, I find this unacceptable.  As a proponent of availability of information so the populace can actually educate itself, it is unforgivable.

Below is a concise list of useful research sites compiled by Edward Clark over on Facebook. I was familiar with some, but not all of these.

⁂

Google is so powerful that it “hides” other search systems from us. We just don’t know the existence of most of them. Meanwhile, there are still a huge number of excellent searchers in the world who specialize in books, science, other smart information. Keep a list of sites you never heard of.

www.refseek.com - Academic Resource Search. More than a billion sources: encyclopedia, monographies, magazines.

www.worldcat.org - a search for the contents of 20 thousand worldwide libraries. Find out where lies the nearest rare book you need.

https://link.springer.com - access to more than 10 million scientific documents: books, articles, research protocols.

www.bioline.org.br is a library of scientific bioscience journals published in developing countries.

http://repec.org - volunteers from 102 countries have collected almost 4 million publications on economics and related science.

www.science.gov is an American state search engine on 2200+ scientific sites. More than 200 million articles are indexed.

www.pdfdrive.com is the largest website for free download of books in PDF format. Claiming over 225 million names.

(With reference to this post here.)

It’s Alice’s turn and she controls Zimone and has a Fling, an Awaken the Woods, and a fragmentize in hand. She controls 2 Forests (green mana), a Plains (white mana), a mountain (red mana), as well as two lands that are here because they can be sacrificed.

Both Alice and Bob have infinite mana colorless mana made via an artifact that can untap itself for more mana.

Bob has 10 life and controls a Wasteland and two Forests. He has a Nourishing Shoal in hand. He also controls a Battle of Wits and has 250 cards in his library.

To win before Bob does next turn, Alice needs to create a large creature token with Zimone by casting Awaken the Woods, and at end step Fling the token. However, Bob with his infinite mana can cast an arbitrarily large Nourishing Shoal, gaining 10^100 life for example. Alice will try to Fragmentize the Monolith that Bob controls. In response he will generate the mana to cast the giant Shoal and he has to pick a number.

Then, Alice can cast Awaken the Woods to make her land count a prime number that is bigger than 10^100 so that at end of turn, she can Fling the Primo token at Bob’s face. However, once the trigger goes on the stack to make the token, Bob can Wasteland any of Alice’s non basic lands to make her total land count a composite number, making no token.

But, Alice has a trick! She can sacrifice one of her own Havenwood Battle grounds to make her number of lands 2 less in combination with a wasteland. This would allow her to still have a prime number if she chose the larger of a pair of twin primes as her target land count.

The question is this: Can Alice always make a number of lands bigger than any other number so that if Bob destroys one of her lands, she can sacrifice another, remaining at a prime number, and making the token to Fling for the win?

Somebody reblog with that one Sonic fandub meme of "what the FUCK are you talking about", because that is the EXACT emotion I'm experiencing here.

In plain English:

Alice and Bob are playing Magic: the Gathering. If Alice does nothing, Bob will win next turn.

Bob's current position allows him to respond to anything Alice does by doing a Stupid Card Trick that grants him an arbitrarily large number of hit points. By "arbitrarily large", we mean that Bob can pick any number he wants, but it has to be finite; i.e., he can't say "infinity plus one".

Alice's plan is to do something that will break the setup that permits Bob's Stupid Card Trick, thereby forcing him to pick a number of hit points for it to give him before he loses it. Alice will then follow up with her own Stupid Card Trick which allows her to deal an arbitrarily large amount of damage.

So all Alice needs to do is say a number that's larger than the number Bob said, and she wins, right?

Well, not quite. Unlike Bob's Stupid Card Trick, Alice's Stupid Card Trick only works if the number she picks is prime. If anything Bob does in response prevents her from picking a prime number, she does no damage, and Bob wins next turn.

It so happens that Bob does have the ability to respond in a way that reduces the number Alice picked by one. Any prime number minus one is non-prime, so this counters Alice's Stupid Card Trick.

But: Alice has the ability to counter Bob's counter by reducing the number she picked by a further one. This puts her back in business if and only if the prime number she picked in the first place is still prime after having two subtracted from it.

The question is, then: is it guaranteed that Alice can always pick a prime number that's larger than Bob's number and is still prime after having two subtracted from it, no matter what number Bob picks?