The shaded area under a curve grows at a rate exactly matching the curve's height at that point. Fundamental Theorem of Calculus proves that the derivative of A(x) = ∫_a^x f(t) dt is f(x). It uses the limit definition of the derivative and the mean value theorem to show that the added area over [x, x h] divided by h approaches f(x) as h approaches 0 under continuity. d/dx ∫_a^x f(t) dt = f(x) The theorem let us move between totals and their rates, such as velocity from position in physics or marginal cost from total cost in economics.

"It doesn't matter if they're wearing Dodger Blue ... black and white ..." Yoshinobu Yamamoto exits to a standing ovation after taking a no-hitter into the 9th 👏

USA. A breakfast counter. The waitress recommended the biscuits and gravy, and when the plate arrived, I thought something had gone wrong in the kitchen. I say this with shame. The dish looked like a construction site after rain. Pale mounds. Gray ladle-fall. Speckles I could not identify. In my land, the eye eats first. A meal is arranged like a garden. This meal was arranged like weather. "Is it… finished?" I asked, carefully. "Honey, that's what it looks like." The man beside me was already eating his. He did not look up. "Just try it." I am a man who has charged hillsides at dawn. I raised the fork. I tried it. I must now formally apologize to the biscuits, the gravy, the waitress, the kitchen, and the entire breakfast tradition of the American South. It was magnificent. Warm. Peppered. The biscuit drank the gravy the way a field drinks rain — THAT is why it is shaped like that, you fool — and every mound I had insulted was a soft fold of comfort that my homeland, in eight hundred years, never once thought to invent. "Well?" the waitress asked. "I judged it," I confessed. "By its appearance. I am ashamed." "Everybody does, hon." Everybody does. A national dish that forgives you for doubting it. It expects the doubt. It waits for you on the other side of it. Do not judge the gravy by its face. Judge yourself, for hesitating. I order it every Saturday now. I no longer see the construction site. I see only the garden. It was a garden the whole time. The eye must be trained.

Let me explain why I think Freddy resonates. Lots of Europeans visit the USA as tourists. They visit New York City, or Washington DC, or Hollywood, or Las Vegas, and if they visit natural beauty too, they go to really crowded places like the Grand Canyon or Yellowstone. So while they see our cultural and natural icons, they are mostly in blue cities and they therefore also see the decline, the homeless, the drugs, the dirt and the rude, rude Americans. But Freddy is not doing that. Freddy is driving, and he’s doing it through the heartland, where people are kind and polite, the skies are wide open, and the bounty of Buc-ees and Bass Pro Shops are overwhelming. Freddy is not seeing fentanyl and decline. He is seeing the real, hopeful, patriotic, kind America that European tourists rarely traverse. And he loves it. That’s why Freddy is a phenomenon.

W杯でアメリカ行かれる方へ 宿泊先のホテル近くに Texas Roadhouse があったら即GO‼チェーン系のレストランですけどコスパ最強のステーキが食べられます。 特に Ribeye が最高

They’re so mad.

SpaceX $SPCX just closed its first day of trading as a public company at $161 per share

NASDAQ - IPO OF SPACEX $SPCX TO BE RELEASED FOR QUOTATION AT 9:50AM ET "The Nasdaq opening window is set for 9:50AM ET. That’s when indications for SpaceX’s opening price should start to appear" - CNBC