Let Tarantino direct Romeo & Juliet. He'll change the ending.

Yeah, but if you crouch then nobody will see you.

Well, those are from different budgets, you see, and you can't just move money around because of Resolution X, Article Y, Clause Z and we simply can't change the rules just because....

If only they had followed his advice and started ingesting and injecting bleach...

And I think you're late to the party. The mistake has already been pointed out and acknowledged.

But when those pics are uploaded, they're usually compressed quite a bit and/or reduced in quality in order to minimize data usage. I've sent and received a lot of images through texting and the quality of what I get and what I send is much, much less than 3 MB per pic.

For instance, I just took a picture with my phone, as a test. 3.84 MB on my phone. Texting it to myself, 684 KB. It took a 3000 x 4000 pixel image and shrunk it to 1080 x 1439, cutting file size down by 82%. Images uploaded to a central server as a backup are probably not saved at 100% original quality.

I'm not saying that sentiment isn't out there about Lily, I'm just saying that I've never seen it (and if I had seen it, I never paid it any mind). In my mind, they both had a slight aptitude for potions and probably partnered up a lot with their studies, helping each other out whenever one got stuck on something or figuring out a solution to a common problem together. And that teamwork took them from being pretty good at potions to being amazing at them.

"so if adequate competition enters the market, prices should come down."

That's a mighty big "If," especially when you have something like OPEC controlling 80% of the world's petroleum, and sometimes only 3 or 4 companies controlling 80% of more of a respective market. Kind of hard for competition to enter in when oligarchs run the show.

You're right.

Okay, so 16 terabytes, at most. Still not the most data intensive thing, given that you can purchase a 16 TB drive for less than $250 right now. I was just establishing an upper bound, because the images are going to be much less than 1 MB each. I'd doubt they're more than 1/4 of that. They could have had a 4TB drive filled with them, and you can get a drive like that for less than $70

Brilliant. Their solution to perceived government overreach (mask requirements during a pandemic) is to enact more government overreach.

Even at 1 MB per image, which would be way too much per image, you're only looking at 16 GB of storage for all of that. So, much less than 16 GB.

(5r + 2) / (r * (r + 1) * (r + 2)) = a / r + b / (r + 1) + c / (r + 2)

a * (r + 1) * (r + 2) + b * r * (r + 2) + c * r * (r + 1) = 0r^2 + 5r + 2

a * (r^2 + 3r + 2) + b * (r^2 + 2r) + c * (r^2 + r) = 0r^2 + 5r + 2

ar^2 + br^2 + cr^2 + 3ar + 2br + cr + 2a = 0r^2 + 5r + 2

(a + b + c) * r^2 + (3a + 2b + c) * r + 2a = 0r^2 + 5r + 2

a + b + c = 0 ; 3a + 2b + c = 5 ; 2a = 2

2a = 2 =>> a = 1

a + b + c = 0

1 + b + c = 0

b + c = -1

3a + 2b + c = 5

3 + 2b + c = 5

2b + c = 2

2b + c - (b + c) = 2 - (-1)

2b - b + c - c = 2 + 1

b = 3

b + c = -1

3 + c = -1

c = -4

(5r + 2) / (r * (r + 1) * (r + 2)) = 1/r + 3/(r + 1) - 4/(r + 2)

Now expand the sum, see if any patterns emerge.

Starting from k and ending at r = 98

(1/k + 3/(k + 1) - 4/(k + 2)) + (1/(k + 1) + 3/(k + 2) - 4/(k + 3)) + (1/(k + 2) + 3/(k + 3) - 4/(k + 4)) + (1/(k + 3) + 3/(k + 4) - 4/(k + 5)) + .... + 1/98 + 3/99 - 4/100

1/k + 3/(k + 1) + 1/(k + 1) - 4/(k + 2) + 3/(k + 2) + 1/(k + 2) - 4/(k + 3) + 3/(k + 3) + 1/(k + 3) - 4/(k + 4) + 3/(k + 4) + 1/(k + 4) + .... + 1/96 + 3/97 - 4/98 + 1/97 + 3/98 - 4/99 + 1/98 + 3/99 - 4/100

1/k + 4/(k + 1) + 0/(k + 2) + 0/(k + 3) + ... + 0/98 - 4/99 + 3/99 - 4/100

1/k + 4/(k + 1) - 1/99 - 4/100 = 20539/34650

(k + 1 + 4k) / (k * (k + 1) = 20539/34650 + 1/25 + 1/99

(5k + 1) / (k^2 + k) = 20539/34650 + (99/(25 * 99) + 25/(25 * 99))

Let's work on that fraction on the right-hand side

20539/34650 + 124 / (25 * 99)

34650 => 10 * 3465 => 10 * 9 * 385 => 10 * 9 * 35 * 11 => 2 * 5 * 3^2 * 5 * 7 * 11 => 2 * 3^2 * 5^2 * 7 * 11

20539 / (2 * 3^2 * 5^2 * 7 * 11) + 124 / (3^2 * 5^2 * 11)

(20539 + 124 * 2 * 7) / (2 * 3^2 * 5^2 * 7 * 11)

(20539 + 1736) / 34650

22275 / 34650

25 * 891 / (25 * 1386)

891 / 1386

11 * 81 / (11 * 126)

81 / 126

9 * 9 / (9 * 14)

9/14

(5k + 1) / (k^2 + k) = 9 / 14

14 * (5k + 1) = 9 * (k^2 + k)

70k + 14 = 9k^2 + 9k

0 = 9k^2 + 9k - 70k - 14

9k^2 - 61k - 14 = 0

k = (61 +/- sqrt(61^2 + 4 * 9 * 14)) / 18

k = (61 +/- sqrt(3721 + 56 * 9)) / 18

k = (61 +/- sqrt(3721 + 504)) / 18

k = (61 +/- sqrt(4225)) / 18

k = (61 +/- 65) / 18

k = 126/18 , -4/18

k = 7 , -2/9

k is going to be an integer

k = 7

Let's confirm

https://www.wolframalpha.com/input?i=sum%28%285r+%2B+2%29+%2F+%28r+*+%28r+%2B+1%29+*+%28r+%2B+2%29%29+%2C+r+%3D+7+%2C+r+%3D+98%29

The 150 year gap I was talking about was from 1850 to 2000, not 1875 to today. Before roughly 2000, most people didn't have cell phones (and if they did have them, they had to purchase monthly minutes, texts cost a lot of money, long-distance calls were still expensive, etc...). After 2000, more and more people started to have cell phones. That's why I specifically stated "In the 150 years or so between the birth of the IR and everybody having a cell phone" and not "150 years ago."

I wish a woman would say, "Shut up, Baby Dick!" to me.

People talked to other people. They read books. They wrote, they created, they invented, etc... Hobbies took up the time. People went fishing, they foraged, they farmed. Up until the Industrial Revolution took off, over 50% of the people were farming, and there's too much work to do on a farm to just spend your time waiting (why do you think sloth was a deadly sin?). In the 150 years or so between the birth of the IR and everybody having a cell phone, there were a lot of changes in how people lived and worked, but for the most part people still filled their days with any activities they could dream up. But waiting was hardly something people just did.

He won't encourage them. He's not President, so if he uses his mobster-style language (It sure would be a shame if somebody did X to Y), he won't be able to try and delay any punishments by citing some sort of Executive Privilege that doesn't really exist. Sure, if he won, he'd be able to postpone being charged, but I'm pretty sure that the statute of limitations for encouraging terrorism is longer than 4 years.

I think for this one, he's just going to stay silent. And if terrible things happen, he'll probably promise to pardon any perpetrators, which would be him giving his approval in a legal way, but he'll stop short of suggesting any possibly illegal actions for his supporters to take.

I like this one. I mean, we've had cameras for a long time, but even just 20 years ago they were so grainy and awful that they could have been turned off and been just as useful. But today, you've got your 720, 1080, 4k and so on. The party is over

We can make comparisons even better than that by talking about something that everybody can experience: passing a kidney stone.

Now I've heard this from many women that they'd rather give birth than pass another kidney stone. And I've heard from many men that passing a kidney stone was about the most painful and miserable experience of their lives. So if everybody could sort of rank their pains on a scale, we could make direct comparisons and determine what is more painful. a kick to the nuts or giving birth.

The lawmakers are pedos, but for some reason they haven't made it legal to be a pedo (or at the very least made the punishment so insignificant that it may as well be legal).

Yeah, that totally makes sense.

10000 years of songcraft and poetry and this is what we get?

Some of the meaner non-elves joined in the singing, too. I'll admit, even I sang for a bit.

We're too heavy. We'd crush the eggs if we sat on them.

Yeah, it still works out. Apply some arbitrary limits and see.

x = 10 , x = 20, for instance

(1/2) * ln|2 * 20 + 8| - (1/2) * ln|2 * 10 + 8|

(1/2) * (ln(48) - ln(28))

(1/2) * ln(48/28)

(1/2) * ln(12/7)

Now try the other one

(1/2) * ln|20 + 4| - (1/2) * ln|10 + 4|

(1/2) * (ln(24) - ln(14))

(1/2) * ln(24/14)

(1/2) * ln(12/7)

You can change (1/2) * ln|2x + 8| into (1/2) * ln(2) + (1/2) * ln|x + 4|. That's why it works, because you're still eliminating (1/2) * ln(2) from it all.

"They're trying to give my children heart disease!"

Sir, they gave your kids some cheese cubes and pepperoni for snack time...