'Tis the season for many holiday traditions, including the Ugly Christmas Sweater—you know, those 1950s-style heavy knits featuring some kind of cartoonish seasonal decoration, like snowflakes, Santa Claus, or—in the case of Mark Darcy from Bridget Jones' Diary (2001)—Rudolph the Red-Nosed Reindeer. "It’s obnoxious and tacky, but also fuzzy and kind of wholesome—the fashion equivalent of a Hallmark Christmas movie (with a healthy dose of tongue-in-cheek)," as CNN's Marianna Cerini recently observed .

Fashion (or lack thereof) aside, sweaters and other knitted fabric are also fascinating to physicists and mathematicians. Case in point: a recent paper published in the journal Physical Review Letters examining the complex mechanics behind the many resting shapes a good Jersey knit can form while at rest.

Knitted fabrics are part of a class of intertwined materials—which also includes birds' nests, surgical knots, knotted shoelaces, and even the degradation of paper fibers in ancient manuscripts. Knitted fabrics are technically a type of metamaterial : an engineered material that gets its properties not from the base materials but from their designed structures. The elasticity (aka, stretchiness) of knitted fabrics is an emergent property : the whole is more than the sum of its parts. How those components (strands of yarn) are arranged at an intermediate scale (the structure) determines the macro scale properties of the resulting fabric.

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'Tis the season for many holiday traditions, including the Ugly Christmas Sweater—you know, those 1950s-style heavy knits featuring some kind of cartoonish seasonal decoration, like snowflakes, Santa Claus, or—in the case of Mark Darcy from Bridget Jones' Diary (2001)—Rudolph the Red-Nosed Reindeer. "It’s obnoxious and tacky, but also fuzzy and kind of wholesome—the fashion equivalent of a Hallmark Christmas movie (with a healthy dose of tongue-in-cheek)," as CNN's Marianna Cerini recently observed .

Fashion (or lack thereof) aside, sweaters and other knitted fabric are also fascinating to physicists and mathematicians. Case in point: a recent paper published in the journal Physical Review Letters examining the complex mechanics behind the many resting shapes a good Jersey knit can form while at rest.

Knitted fabrics are part of a class of intertwined materials—which also includes birds' nests, surgical knots, knotted shoelaces, and even the degradation of paper fibers in ancient manuscripts. Knitted fabrics are technically a type of metamaterial : an engineered material that gets its properties not from the base materials but from their designed structures. The elasticity (aka, stretchiness) of knitted fabrics is an emergent property : the whole is more than the sum of its parts. How those components (strands of yarn) are arranged at an intermediate scale (the structure) determines the macro scale properties of the resulting fabric.

Read full article

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'Tis the season for many holiday traditions, including the Ugly Christmas Sweater—you know, those 1950s-style heavy knits featuring some kind of cartoonish seasonal decoration, like snowflakes, Santa Claus, or—in the case of Mark Darcy from Bridget Jones' Diary (2001)—Rudolph the Red-Nosed Reindeer. "It’s obnoxious and tacky, but also fuzzy and kind of wholesome—the fashion equivalent of a Hallmark Christmas movie (with a healthy dose of tongue-in-cheek)," as CNN's Marianna Cerini recently observed .

Fashion (or lack thereof) aside, sweaters and other knitted fabric are also fascinating to physicists and mathematicians. Case in point: a recent paper published in the journal Physical Review Letters examining the complex mechanics behind the many resting shapes a good Jersey knit can form while at rest.

Knitted fabrics are part of a class of intertwined materials—which also includes birds' nests, surgical knots, knotted shoelaces, and even the degradation of paper fibers in ancient manuscripts. Knitted fabrics are technically a type of metamaterial : an engineered material that gets its properties not from the base materials but from their designed structures. The elasticity (aka, stretchiness) of knitted fabrics is an emergent property : the whole is more than the sum of its parts. How those components (strands of yarn) are arranged at an intermediate scale (the structure) determines the macro scale properties of the resulting fabric.

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OpenAI has finally shared details about its plans to shake up its core business by shifting to a for-profit corporate structure.

On Thursday, OpenAI posted on its blog , confirming that in 2025, the existing for-profit arm will be transformed into a Delaware-based public benefit corporation (PBC). As a PBC, OpenAI would be required to balance its shareholders' and stakeholders' interests with the public benefit. To achieve that, OpenAI would offer "ordinary shares of stock" while using some profits to further its mission—"ensuring artificial general intelligence (AGI) benefits all of humanity"—to serve a social good.

To compensate for losing control over the for-profit, the nonprofit would have some shares in the PBC, but it's currently unclear how many will be allotted. Independent financial advisors will help OpenAI reach a "fair valuation," the blog said, while promising the new structure would "multiply" the donations that previously supported the nonprofit.

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OpenAI has finally shared details about its plans to shake up its core business by shifting to a for-profit corporate structure.

On Thursday, OpenAI posted on its blog , confirming that in 2025, the existing for-profit arm will be transformed into a Delaware-based public benefit corporation (PBC). As a PBC, OpenAI would be required to balance its shareholders' and stakeholders' interests with the public benefit. To achieve that, OpenAI would offer "ordinary shares of stock" while using some profits to further its mission—"ensuring artificial general intelligence (AGI) benefits all of humanity"—to serve a social good.

To compensate for losing control over the for-profit, the nonprofit would have some shares in the PBC, but it's currently unclear how many will be allotted. Independent financial advisors will help OpenAI reach a "fair valuation," the blog said, while promising the new structure would "multiply" the donations that previously supported the nonprofit.

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OpenAI has finally shared details about its plans to shake up its core business by shifting to a for-profit corporate structure.

On Thursday, OpenAI posted on its blog , confirming that in 2025, the existing for-profit arm will be transformed into a Delaware-based public benefit corporation (PBC). As a PBC, OpenAI would be required to balance its shareholders' and stakeholders' interests with the public benefit. To achieve that, OpenAI would offer "ordinary shares of stock" while using some profits to further its mission—"ensuring artificial general intelligence (AGI) benefits all of humanity"—to serve a social good.

To compensate for losing control over the for-profit, the nonprofit would have some shares in the PBC, but it's currently unclear how many will be allotted. Independent financial advisors will help OpenAI reach a "fair valuation," the blog said, while promising the new structure would "multiply" the donations that previously supported the nonprofit.

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Apparently Hertz's purging of electric vehicles from its fleet isn't going fast enough for the car rental giant. A Reddit user posted an offer they received from Hertz to buy the 2023 Tesla Model 3 they had been renting for $17,913.

Hertz originally went strong into EVs, announcing a plan to buy 100,000 Model 3s for its fleet by the end of 2021, but 16 months later had acquired only half that amount . The company found that repair costs—especially for Teslas, which averaged 20 percent more than other EVs—were cutting into its profit margins. Customer demand was also not what Hertz had hoped for; last January, it announced plans to sell off 20,000 EVs .

Asking its customers if they want to purchase their rentals isn't a new strategy for Hertz. "By connecting our rental customers who opt into our emails to our sales channels, we're not only building awareness of the fact that we sell arsenal but also offering a unique opportunity to someone who may be in the market for the same car they have on rent," Hertz communications director Jamie Line told The Verge .

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Apparently Hertz's purging of electric vehicles from its fleet isn't going fast enough for the car rental giant. A Reddit user posted an offer they received from Hertz to buy the 2023 Tesla Model 3 they had been renting for $17,913.

Hertz originally went strong into EVs, announcing a plan to buy 100,000 Model 3s for its fleet by the end of 2021, but 16 months later had acquired only half that amount . The company found that repair costs—especially for Teslas, which averaged 20 percent more than other EVs—were cutting into its profit margins. Customer demand was also not what Hertz had hoped for; last January, it announced plans to sell off 20,000 EVs .

Asking its customers if they want to purchase their rentals isn't a new strategy for Hertz. "By connecting our rental customers who opt into our emails to our sales channels, we're not only building awareness of the fact that we sell arsenal but also offering a unique opportunity to someone who may be in the market for the same car they have on rent," Hertz communications director Jamie Line told The Verge .

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Apparently Hertz's purging of electric vehicles from its fleet isn't going fast enough for the car rental giant. A Reddit user posted an offer they received from Hertz to buy the 2023 Tesla Model 3 they had been renting for $17,913.

Hertz originally went strong into EVs, announcing a plan to buy 100,000 Model 3s for its fleet by the end of 2021, but 16 months later had acquired only half that amount . The company found that repair costs—especially for Teslas, which averaged 20 percent more than other EVs—were cutting into its profit margins. Customer demand was also not what Hertz had hoped for; last January, it announced plans to sell off 20,000 EVs .

Asking its customers if they want to purchase their rentals isn't a new strategy for Hertz. "By connecting our rental customers who opt into our emails to our sales channels, we're not only building awareness of the fact that we sell arsenal but also offering a unique opportunity to someone who may be in the market for the same car they have on rent," Hertz communications director Jamie Line told The Verge .

Read full article

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