The Kremlin's openness to talks may signal a diplomatic shift, impacting geopolitical stability and market perceptions of conflict resolution. The post Kremlin open to trilateral talks with US, Ukraine amid ongoing conflict appeared first on Crypto Briefing.

The Clarity Act's potential passage could significantly reshape crypto regulations, boosting market confidence and influencing future legislative efforts. The post White House crypto advisor Witt confident Clarity Act skeptics will be proven wrong appeared first on Crypto Briefing.

Mill Scale Metalworks is fueling the Barbecue Capital of Texas.

NASA's Marshall Space Flight Center posted a photo: The Artemis II crew - NASA Astronauts Reid Wiseman, Victor Glover, and Christina Koch, and CSA Astronaut Jeremy Hansen - visited Huntsville, Alabama, this week to celebrate their mission with our community. Their visit included a public event at the Rocket City Trash Pandas stadium with a crowd of over 5,000 and an employee event at NASA's Marshall Space Flight Center. The crew discussed their Moon mission, thanked our workforce for their role in it, and answered many questions. These four flew to the Moon and back, but they took all of our hearts with them on that journey. Thanks for stopping by Reid, Victor, Christina, and Jeremy Image description: NASA Astronauts Reid Wiseman, Victor Glover, and Christina Koch with CSA Astronaut Jeremy Hansen wave to a crowd of people at the Rocket City Trash Pandas stadium in Huntsville, Alabama. Credit: NASA/Brandon Hancock #NASA #NASAMarshall #NASAArtemis #Artemis2 #ArtemisII #NASASLS #SLS Learn more about Artemis II, here For more about NASA's Artemis For more about NASA's Space Launch System NASA Media Usage Guidelines

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Donald Trump, or maybe Natalie Harp, went on an AI slop-posting spree overnight, full of the usual braggadocio, apocalyptic imagery and imbecilic ideas – renaming New Mexico “New America,” blowing up…

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Sixty years ago yesterday, on September 6, 1966 for those of you who cannot do calendar math, the first episode of Star Trek aired. Star Trek – The Original Series I was about one and a half at the time, so missed the premier. But that was probably okay. In addition to being too young to appreciate the series, the state of television at the time was… somewhat primitive. I mean, check out this little toy television that sat in our family room opposite the couch until I was maybe four years old. I think it was made out of LEGO bricks or Lincoln Logs. 60s television technology That picture, taken with one of the ubiquitous Kodak Instamatic 100 series cameras that were literally everywhere at the time (my first half dozen cameras were Instamatics that I scrounged out of junk drawers or from boxes in various garages or barns) that used the 126 film cartridge system that was basically squared off 35mm, was probably snapped in early/mid 1967 based on objects in the frame and my size. I was tall for my age. That is maybe a 13 inch diagonal screen… a BLACK AND WHITE screen, because we didn’t get a color television in our house until 1970… in a wooden console that my father would occasionally have to take apart to remove a burned out tube. At the time every grocery store had a kiosk that included a tube tester and replacement tubes for sale, so you could take the likely suspect down to the store, test it, then buy the replacement. That happened maybe twice when I was a kid, but I remember doing tagging along with my dad as we drove over to the Manor Market, in the same strip mall as Billy Wilson’s Liquors, which he told me was owned by the former 49ers wide receiver, though I have no way to verify that at this time. But he made sure to buy beer there during the football season. Anyway, the point was that at the time the television viewing experience in our house was not optimal. Sitting here in 2026 with a 46″ LCD TV in our family room, which feels kind of small, the idea of sitting across the room watching a tiny black and white screen feels little better than watching radio. Somehow we managed… and the low quality of the viewing options is probably why I spent so much time outside playing. The screen had yet to attain the power to hold me. However, color TV was the coming thing and, in part because it was filmed in color when a lot of shows were still black and white… why bother with color when most of your audience doesn’t have a color TV… Star Trek lived on after its cancellation at the end of its third season in syndication. And that is where I saw Star Trek. It was never a show that I watched in prime time at a weekly release cadence. It was always something that was on almost daily… or even multiple times a day as Santa Clara Valley had its own TV stations while also being able to get the San Francisco and Oakland stations via the antenna that jutted up from our roof, the same way one was present on nearly every single house in the valley, a situation that at one point attracted a plague of six foot metal munching mice… though I might not be remembering that entirely accurately. Six foot metal munching mice in action on roof tops Being in syndication and being rather unlike anything else on the air, it proved to be a reliable draw. More than reliable. A whole ecosystem grew up around this cancelled show that makes the Firefly revivalist seem like a few random weirdos… which kind of fits. The show wasn’t bad, but it dying before it could jump the shark is what keeps it alive. It died young so we never got to see fat Mal go full lost cause on us. There were conventions and books about the series and novels set in the Trek universe… I read so many bad Trek novels, many of which seemed to be vehicles to get Spock to show emotion… and video games and board games and that great FASA role playing game and paraphernalia. It was everywhere. Star Trek in vt52… first computer game I ever played We would “play” Star Trek at recess… an early “spot the nerds” moment… taking over the baseball diamond at the back corner of the field with the pitcher’s mount being the captain’s chair and home plate being the navigation station, with the backstop itself representing the view screen at the front of the bridge. We would parrot things we had seen on the show, assemble away teams that clearly had no interest in the prime directive as every adventure ended up in some sort of shoot out. Eventually Paramount realized they were sitting on a gold mine and started winding up the machine. We got an animated series, all of which is canon. Then a motion picture, about which I have written. (I wrote posts about all the movies back in 2022.) Then a few more movies came out, enough to establish the “even numbers good, odd numbers bad” pattern of quality. Finally, another series arrived. Then another. Then another. And some more movies, of which Galaxy Quest was no doubt the best. Then some more video games, of which maybe three were any good. (Original Starfleet Command is my pick. Can I get that on GoG.com?) And then even more movies, but in an alternate timeline where somehow Chris Pine was William Shatner and lens flare was the primary means of communicating that it was the future. And yes, if you’re reading this you probably know all of that. Star Trek, like the race of men in Middle-earth, is ubiquitous yet always failing to live up to its potential. But it persists. There are new shows. There will probably be new movies. I would not bet against the whole thing getting another cinematic reboot in my lifetime. There is no IP that Hollywood won’t milk dry. Still, nothing in my heart feels quite like the original series and that time during the 70s when people would devour any crumb around the series, where we all saw the same blooper reels at every convention, and when you could spot your fellow Trekkies by doing the “live long and prosper” sign with your hand. If they had developed the muscles to do the sign without the need to arrange their fingers with their other hand, they were in the club. As I noted in my post about the bicentennial back in July, it was a time of tumult and people were looking for things that would give them hope about the future. Of course, this reverie has made me feel nostalgic for the “good old days” and I will probably propose to my wife that our next viewing festival should be an attempt to watch the original series… in order of release. In syndication there was an almost RNG aspect to what you might see on any given day. I have no idea how they play out as they originally aired. We’ll see if that comes to pass. Maybe I will even write about it. Related: Jan 2023 – Reflecting on Star Trek as a Film Series Feb 2015 – The Influence of Star Trek May 2013 – The First Computer Game I Ever Played

Occurred on July 27, 2026 / Portland, Oregon, USA"I moved to Portland, Oregon and noticed there was a little spider in front of the window in the kitchen. It was inside and never caught anything in its web, so I started to catch flies, and other insects and throw/place them onto the web. The spider would immediately run down to feast." Credit: RubenContact licensing@viralhog.com to license this or any ViralHog video. To request a license for this specific video directly on our website: https://viralhog.com/watch/file/396541345File ID: 396541345ViralHog is based in Bozeman, Montana, USA.Make money from your videos! Submit footage here: https://viralhog.com/submitCan't get enough? Check out our sister channel https://www.youtube.com/channel/UC_bc3zjhJWOOV_KZmVkvO9gSubscribe, Like, and Follow ViralHog:YouTube: https://www.youtube.com/viralhogFacebook: https://fb.me/viralhogInstagram: https://instagr.am/viralhogTwitter: https://twitter.com/viralhogTikTok: https://www.tiktok.com/@viralhog#ViralHog

SK Hynix's accelerated 1c DRAM ramp could reshape the competitive landscape, potentially boosting its market dominance and innovation lead. The post SK Hynix accelerates 1c DRAM ramp, aims for 34% share by Q4 2026 appeared first on Crypto Briefing.

keijiro pushed to main in keijiro/Jacquard · September 5, 2026 12:58 2 commits to main 86074a3 Keep the asc CLI's own skills out of the history 84d3dab Raise the iOS build number to 3 1 more commit »

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Motivation. For $m\ge1$, the equation $$\prod_{k=1}^n\Bigl(x+\cos^m\frac{k\pi}{n}\Bigr)=1$$ has a unique solution $x_n>0$, and $x_n\to\alpha$ with $\alpha$ algebraic: since $\frac1n\log\prod_k(\alpha+\cos^m\tfrac{k\pi}n)\to\frac1\pi\int_0^\pi\log|\alpha+\cos^m\theta|\,d\theta$, the limit is a zero of a logarithmic Mahler measure, hence algebraic by Jensen's formula (e.g. $\alpha=5/4$ for $m=1$, $9/16$ for $m=2$). The proof uses everything about the roots: they are $-\cos^m(k\pi/n)$, so $\frac1n\log|P_n(x)|$ converges to an explicit integral over $[0,\pi]$, which is a logarithmic Mahler measure, and Jensen's formula gives algebraicity. Nothing in this argument works if the roots are merely some bounded real algebraic integers with no formula. The question is what happens when the explicit structure of the roots is removed. The cosine family has the coarse features — monic in $\mathbb Z[x]$, all roots real in a fixed interval, no high multiplicity, the level set crossed only boundedly often — but at the exponential level $Q(n)=2^{nm}$ those features are not what makes the limit algebraic: the Chebyshev product below has the same coarse features with $Q(n)=3^n$ and a transcendental limit. So at exponential level the answer depends on the fine structure of the roots, and Jensen's formula is what settles the cosine case. Conjecture. Let $Q:\mathbb N\to\mathbb N$ satisfy $\log Q(n)=o(n)$. Suppose $P_n\in\mathbb Z[x]$ is monic of degree $n$, every root of $P_n$ is real and lies in a fixed bounded interval, and both the multiplicities of the roots of $P_n$ and the number of real solutions of $P_n(x)=Q(n)$ are bounded independently of $n$. Then every convergent sequence $x_n$ with $P_n(x_n)=Q(n)$ has algebraic limit. Since $P_n(x)-Q(n) \in \mathbb{Z}[x]$ this means each $x_n$ is an algebraic integer with degree at most $n$ but the limit of a convergent sequence of algebraic integers need not be algebraic. To show that $\log Q(n)=o(n)$ is necessary, I will produce a counterexample for $Q(n) = 3^n$. Let$$P_n(x) = U_{\lfloor n/\sqrt{2} \rfloor}(x/2)U_{n-\lfloor n/\sqrt{2} \rfloor}((x-1)/2)$$where $U_i(x)$ is the Chebyshev polynomial of the second kind. This is a monic polynomial in $\mathbb{Z}[x]$ where each root has multiplicity at most $2$ and all the roots of $P_n(x)$ lie in $(-2,3)$. It can be shown that $P_n(x) = 3^n$ has at most two solutions. Now$$P_n(x)^{1/n} \to \left(\dfrac{x+\sqrt{x^2-4}}{2}\right)^{1/\sqrt{2}} \left(\dfrac{x-1+\sqrt{(x-1)^2-4}}{2}\right)^{1-1/\sqrt{2}}$$and if $x_n \to \alpha$ then we have$$\left(\dfrac{\alpha+\sqrt{\alpha^2-4}}{2}\right)^{1/\sqrt{2}} \left(\dfrac{\alpha-1+\sqrt{(\alpha-1)^2-4}}{2}\right)^{1-1/\sqrt{2}} = 3.$$This means that$$\left(\dfrac{\alpha+\sqrt{\alpha^2-4}}{\alpha-1+\sqrt{(\alpha-1)^2-4}}\right)^{1/\sqrt{2}} = \dfrac{6}{\alpha-1+\sqrt{(\alpha-1)^2-4}}.$$If $\alpha$ was algebraic then so would $\frac{\alpha+\sqrt{\alpha^2-4}}{\alpha-1+\sqrt{(\alpha-1)^2-4}}$ and since the ratio is more than $1$ and $1/\sqrt{2}$ is algebraic and irrational it means the left hand side is transcendental by Gelfond-Schneider while the right hand side is algebraic, which is a contradiction. Therefore $\alpha$ is transcendental. Is this conjecture known, or a consequence of known results (Fekete–Szegő, Bilu, Schur–Siegel–Smyth and Smith's work on limit measures of totally real algebraic integers)?

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Japan's $60B data center investment could position it as a key AI hub, but energy constraints may challenge sustainable growth and infrastructure. The post Japan plans $60B investment in data centers as it races to become global AI infrastructure leader appeared first on Crypto Briefing.

NASA's Marshall Space Flight Center posted a photo: M82 is an irregular galaxy undergoing intense star formation because of a gravitational interaction with a neighboring galaxy hundreds of millions of years ago. M82 was nicknamed the Cigar Galaxy mostly because of its edge-on angle to Earth, which makes its central disk look like an elongated, cigar-shaped oval with small optical telescopes. The galaxy illustrates how violent galactic "exhaust systems" can regulate a galaxy's growth by venting gas outwards. Check out more Chandra images here >> go.nasa.gov/4xf45TD Image description: An irregular galaxy undergoing intense star formation because of a gravitational interaction with a neighboring galaxy hundreds of millions of years ago. Chandra X-rays (blue), supplemented by NuSTAR data, show towering superwinds of million-degree gas blowing thousands of light-years out of the galactic disk, with Hubble optical light (yellow, orange and white) showing the galaxy shape, and Webb and Spitzer detailing infrared dust emission (red). M82 was nicknamed the Cigar Galaxy mostly because of its edge-on angle to Earth, which makes its central disk look like an elongated, cigar-shaped oval with small optical telescopes. The galaxy illustrates how violent galactic "exhaust systems" can regulate a galaxy's growth by venting gas outwards. Image Credit: X-ray: NASA/CXC/SAO; Optical: NASA/ESA/STScI; Infrared: NASA/ESA/CSA/STScI; Image Processing: NASA/CXC/SAO/L. Frattare, J. Major, and K. Arcand #NASA #NASAMarshall #NASAChandra #ChandraXray #ChandraXrayObservatory #universe #X-rayAstronomy #galaxy #IrregularGalaxy Read more Read more about NASA's Chandra X-ray Observatory NASA Media Usage Guidelines

Rising gasoline prices highlight potential economic strain and underscore the influence of geopolitical tensions on global energy markets. The post US gasoline prices hit record high over Labor Day weekend appeared first on Crypto Briefing.

Solana's dominance in memecoin trading highlights the importance of robust infrastructure and liquidity in sustaining market leadership. The post Solana reclaims memecoin trading volume lead from Robinhood Chain appeared first on Crypto Briefing.

Fall in Round Rock does not arrive with changing leaves. It shows up as pumpkins stacked on a church lawn off Palm Valley, a corn maze cut into a field out Highway 29, and the smell of funnel cake drifting across Old Settlers Park while it is still 88 degrees out. Here is everything happening around Round Rock this fall: the festivals, the pumpkin patches, the corn mazes, and the dates families plan the whole month around. Every date below is confirmed with the organizer for 2026. We keep this updated as more dates get posted, so check back through October. Fall Festivals in Round Rock Williamson Museum Harvest FestivalSaturday, September 12, 10 a.m. to 3 p.m.Old Settlers Association, 3300 E. Palm Valley Blvd. The first real fall event on the calendar, and a free one. The Williamson Museum sets up crafts, butter churning, and living history demonstrations on the Old Settlers Association grounds, across Harrell Parkway from the Salt Lick. Good for younger kids and short attention spans. Times and details. Hairy Man FestivalSaturday, October 17, noon to 5 p.m.Cat Hollow Park, 8320 O’Connor Drive Round Rock’s strangest and most beloved tradition turns 32 this year. Live music all afternoon, food and craft booths run by local nonprofits, carnival games, inflatables, a petting zoo, and Halloween crafts. The costume contest is at 2 p.m. and the Hairiest Man Contest closes the day at 4:30. Admission is free, with a suggested donation of two non-perishable food items or $2 per person for the Round Rock Serving Center. The Hairy Man 5K runs that morning at 9. Schedule, map and parking. Pumpkin Palooza at St. Richard’sSaturday, October 17, 10 a.m. to 2 p.m.1420 E. Palm Valley Blvd. The pumpkin patch throws a party in the middle of its run: pumpkin bowling, sack races, putt-putt, ring toss, crafts, face painting, a petting zoo and food. Note that this lands on the same Saturday as the Hairy Man Festival, so you can do Palooza in the morning and Cat Hollow in the afternoon if you pace yourselves. See what is planned. Fall Fun FestivalWednesday, October 28, 9 to 11:30 a.m.Old Settlers Park Round Rock Parks and Recreation aims this one squarely at toddlers and preschoolers, which is exactly why it works. Free, costumes encouraged, and they ask you to bring a canned good for the Round Rock Food Pantry. A weekday morning event is a gift if you have a little one who melts down by dinnertime. Details from Parks and Rec. Also on the fall calendar National Dance Day, Saturday, September 19, 9 a.m. to noon, Prete Plaza. Free; bring a lawn chair. Mainly Art, Saturdays, September 26, October 24, and November 21, 10 a.m. to 3 p.m., Downtown Round Rock. Fifteen visual artists set up along Main Street each month. National Night Out, Tuesday, October 6, 6 to 9 p.m. Neighborhood block parties across the city. Round Rock Market Days, Saturday, October 3 and Saturday, November 7, 9 a.m. to 4 p.m., Prete Plaza. The October market is a trick or treat: costumes encouraged, and most vendors take part. Meet the woman who started it. Trailside Market, Saturdays at 9 a.m. through October, Memorial Park. Lunch and Learn: Dangerous Latitudes, Tuesday, October 27 at noon, Allen R. Baca Center. One for the adults; no costume required. Pumpkin Patches in Round Rock St. Richard’s Episcopal Church Pumpkin PatchOctober 8 through October 311420 E. Palm Valley Blvd. The one every Round Rock family already knows, now in its 29th year and run entirely by volunteers. Walking in is free and you pay only for the pumpkins you carry out. Open Sunday through Friday from noon until dark; Saturdays from 9 a.m. The pumpkins come from Navajo farmers in the Four Corners region of New Mexico, trucked to Round Rock in fresh loads through the month. Every one of them gets unloaded by hand. If you want to help, volunteers gather at 5 p.m. on Wednesday, October 7, 14, and 21 to empty the truck and restock the patch. Once the farmers are paid, what the patch raises goes back into the community through the Round Rock Serving Center, Hope Alliance, the Hutto Resource Center, Kairos Prison Ministry, St. Richard’s Preschool scholarships, and Stony Point ROTC and youth missions. Parishioners sell handmade crafts on site, and that money goes to the same places. The patch is pet-friendly if your dog is well-behaved, and photographers are welcome to book family sessions there. Schools and nonprofits can arrange discounted pumpkins, and businesses can buy in bulk for their own displays. A tip from years of doing this: go on a weekday afternoon if you want photos without forty other families in the frame. The light is better late anyway. Hours and volunteer sign-ups. Round Rock Pumpkin Festival and Pumpkin PatchOctober 2 through October 31, Fridays through Mondays, 10 a.m. to 7 p.m.Old Settlers Park, 3300 E. Palm Valley Blvd. Now in its fifth year, set among the historic Old Settlers pioneer cabins under the century oaks. Thousands of pumpkins, plus a giant corn pit, a jack-o’-lantern bouncy house, a barrel train, farm animals you can feed, pumpkin painting, free yard games, and a super slide. Tacobaby Austin handles the food and there is funnel cake in the air. Admission is ticketed and parking is free. Teachers get in free, military and first responders get in free with ID, and it is free for anyone 65 and up or 2 and under. It is pet friendly if your dog is leashed and you clean up. Closed Tuesday through Thursday for restocking, so plan around that. Tickets and daily specials. Corn Mazes Near Round Rock Round Rock proper does not have a corn maze, but a couple of good ones sit within an easy drive, and the closest is barely twenty minutes up the road. Sweet Eats Adventure Farm (Georgetown)September 19 through November 814400 E. State Highway 29 The closest and the biggest: a 4.5-acre themed corn maze with a riddle sheet to work through as you go. On Friday and Saturday nights in October, the farm stays open until 10, so you can do the same maze in the dark. Bring your own flashlight or buy one there for $3. General admission also covers pig races, a petting zoo, pony rides, wagon rides, apple cannons and thirty-odd other farm activities, plus a fireworks show every Friday and Saturday night in October at 9:15. The pumpkin patch is priced separately from general admission: pick-your-own pumpkins run $0.85 a pound; minis are $1.50 each or four for $5. Patch-only entry is free Monday through Friday in October and $5 a person on Saturdays and Sundays. Hours shift by the week, so check before you load the car. Maze details and hours. Barton Hill Farms (Bastrop) A four-acre maze on the banks of the Colorado River, with live Texas country and bluegrass playing most of the afternoon, a giant jumping pillow, hayrides and a barn full of calves, sheep and goats. It is the prettiest setting of the bunch. Their 2026 dates and tickets go up on their own site. Check their fall dates. If you are willing to drive further, Sweet Berry Farm out in Marble Falls also runs mazes and a pumpkin patch every fall. We keep a fuller rundown of the farms around Central Texas in our guide to Central Texas fall farms. Halloween in Round Rock Here are the big dates to get on the calendar now. We publish our full Halloween guide, with every trunk-or-treat and neighborhood event we can find, in early October. Hometown HalloweenFriday, October 30, 3 to 7 p.m.Downtown Round Rock, E. Main Street The one the whole town turns out for. Trick-or-treating at Downtown businesses, face painting, live music, balloon art, train rides and giveaways. Note the date: it is the Friday before Halloween this year, not the 31st. Stay Downtown for dinner afterward and let someone else cook. Event details as they post. Adaptive and Inclusive Trunk or TreatSaturday, October 24, 4 to 6 p.m.Ascension Seton Williamson, 201 Seton Parkway Round Rock Parks and Recreation and Ascension Seton Williamson run this one for children with disabilities and their families. Cars line up in the lot to hand out candy; it is free, and you bring your own trick-or-treat bags. How to join in. Trunk or Treat at St. Richard’sFriday, October 30 The church is running a trunk or treat the same night as Hometown Halloween. Times have not been posted yet. Watch for details here. A Few Notes Before You Go October 17 is the busiest Saturday of the season. Pumpkin Palooza, the Hairy Man Festival and the Hairy Man 5K all land on it. Halloween falls on a Saturday in 2026. Most of the city’s organized events run the week before, so the 31st itself is open for neighborhood trick-or-treating. It will still be hot. Central Texas fall is a rumor until at least late October. Sunscreen, water, and hats for the patch photos. Check before you drive. Farm hours shift week to week and weather closes fields. Every link above goes to the organizer’s own page. Never miss a Round Rock event The Weekly Rock lands every Thursday with the events, openings and local deals for the week ahead. Free, and written by neighbors who actually live here. Sign Up Free More Fall Fun Around Round Rock Fall farms around Central Texas Parks in Round Rock: the complete family guide Everything on the Round Rock events calendar Best of Round Rock Know about a fall event we missed? Send it our way and we will get it on the calendar. See ya ‘Round the Rock! P:090921-36084 The post Fall Events in Round Rock: Festivals, Pumpkin Patches and Corn Mazes (2026 Guide) appeared first on Round the Rock.