i was embarrassed for dad and for ruta our family seemed totally unamerican and all of the ucla faculty knew it the stencils were from a different world so that's just an example of our acculturation experience and and a portrayal of how illness was just one component of our of our memoir so now i would love to
So, let's do the same, and for the sake of this example, let's say the stencil has a diameter of six and holes at spot zero, two and six. Next we place the stencil anywhere on the number line, say starting at 12. And we ask a simple question, how many primes do we see?
So, we write down zero. Next we shift the stencil over one spot and repeat, 13, 15, and 19, two of which are prime. So, we write down two.
None of which are prime and so the total prime count is zero. Then we shift the stencil over one spot and see 21, 23 and 27. One of which is prime, so we increase the total by one.
And then we use Frank Lloyd Wright's signature red box, which he put in his blueprints as his sort of sign-off. So we stencil that into the ice. And then what you'll see with this garnished is, the cherry is a sphere, and we've cut the orange into a triangle.
Clickteam Fusion, GameMaker: Studio, GameSalad, and Stencil . The last one is Stencil . And there are others, but those are some major ones.
And the walls there are stenciled . I hand stenciled them. Here's a bunch of inspiration pictures.
So I did blue with brown on top, printed them, and they actually just use latex paint. And if I stenciled it, it wouldn't have been perfect.
So, let's do a quick example without the machine to see how this helps. Let's use the same stencil from before and use the range 20 to 40. Now, in reality, you would use a much larger range, but for simplicity, let's stick to this.
One of which is prime, so we increase the total by one. Now let's keep shifting the stencil and keep adding all the primes we see. No primes, so add zero, two primes, add two, and so on.
So I'm going to do two. I even include a little stencil to make it really easy.
So I did blue with brown on top, printed them, and they actually just use latex paint. If you put the plastic stencil on, sometimes it seeps underneath.
And I can either paint a picture off of it, or maybe figure out how to take two motifs and match them together or get color ideas. And the walls there are stenciled . I hand stenciled them.
Adrian Danchig-Waring: Yeah -- Meghan Kent: you wanna talk about that? Adrian Danchig-Waring: I cut the stencils -- Meghan Kent: Adrian Danchig-Waring: and Mark, our company's designer and I worked on the Dancers' Choice logo which is the Apollo image. We have Janie Taylor, who's a principal dancer who styled the girls for this video and also contributed photographs, both she and Wendy Whelan are really into Hipstamatic photography in quotes so we've issued a series of postcards
But what we can do is put this into the prime number theorem and estimate how many primes to expect on average. And GPY realized they could do a similar thing for their stencil method to build an averaging machine of sorts. All you do is you set up the stencil you want, input your range, and out comes the average number of primes
And GPY realized they could do a similar thing for their stencil method to build an averaging machine of sorts. All you do is you set up the stencil you want, input your range, and out comes the average number of primes it caught per position.
They realize that some starting positions are more likely to catch primes than others. For example, if the stencil only lands on even numbers, it will always give zero primes unless it includes two. So, those positions should not be weighted equally to the others.
Similarly, if you can divide one or more of the numbers in the stencil by three, five, seven, or other small prime factors, it's also more unlikely you have primes in your stencil . So, they should also be weighted less.
it is that this position contains primes. - Wow. - Zhang's stencil had 3.5 million slots, spread across a span of 70 million.
it is that this position contains primes. where K is the number of slots in the stencil .
The other thing about the truckstops was how martial the culture was. I remember being conscious of this very military edge to the stenciled images that drivers would put on their cabs.
the glass is obviously a sort of cylindrical double Old Fashioned glass. It comes with a big clear cube that is stenciled with our sort of Frank Lloyd Wright-inspired-- Actually, this is our logo at Prairie School. Taking the architectural details off the top of the building is what you'll see here, and stretching them out and kind of
See, they wanted to find two primes within a bounded gap. And to do this, they imagined a stencil of sorts with some holes in it. So, let's do the same, and for the sake of this example, let's say the stencil has a diameter of six and holes at spot zero, two and six.
If you slide it a bit further, we catch two primes again, 23 and 29. Now, if you keep moving the stencil across the number line and it keeps catching two primes, then you have proven that infinitely often pairs of primes exist within a bounded gap.
The first is that we don't know exactly where all the primes are. And the second is that of course you can't keep sliding a stencil down the number line forever because well, it's infinitely long. Fortunately, there is an easy way to get around that first problem.
Now, in reality, you would use a much larger range, but for simplicity, let's stick to this. To find the average, you just place the stencil at the start of your range, and you'll look at which numbers you see, 20, 22 and 26.
No primes, so add zero, two primes, add two, and so on. Now, if you keep shifting the stencil all the way until the end, you find a total of 14 primes across 21 starting positions. And so the average is 14 over 21, or about 0.67 primes per location.
So I did blue with brown on top, printed them, and they actually just use latex paint. I see. I don't like stenciling .
within a bounded gap. Six in this case, since that's the diameter of our stencil . But there are two problems with this approach.
And so the average is 14 over 21, or about 0.67 primes per location. Now in this case where we checked every spot by hand, we could see that the stencil caught several positions with two primes in them. But the averaging machine doesn't tell us this.
So, those positions should not be weighted equally to the others. Similarly, if you can divide one or more of the numbers in the stencil by three, five, seven, or other small prime factors, it's also more unlikely you have primes in your stencil .
So I did blue with brown on top, printed them, and they actually just use latex paint. with the red crosses and stuff, did you use the stencils for that?
And to do this, they imagined a stencil of sorts with some holes in it. So, let's do the same, and for the sake of this example, let's say the stencil has a diameter of six and holes at spot zero, two and six. Next we place the stencil anywhere on the number line, say starting at 12.
it immediately extends all the way out to infinity, and you would've proven your bounded gap. - Unfortunately, running the machine with just the current inputs, the stencil visits many positions where it catches zero primes, this drags the average down and means it will never get above one.
There are a number of other game engines in this same vein. Clickteam Fusion, GameMaker: Studio, GameSalad, and Stencil . The last one is Stencil .