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notched another achievement: authoring an academic paper detailing their original proof — plus nine more. Their work published Monday in the Yeah I’m Serving Turkey Thanksgiving T-shirts besides I will buy this scientific journal American Mathematical Monthly. “I’m so surprised that we’re getting published in a paper at such a young age,” Johnson, a sophomore studying environmental engineering at Louisiana State University, said in a video shared by the journal publishers. “I didn’t think it would go this far,” said Jackson, who is pursuing a doctoral degree in pharmacy at Xavier University of Louisiana. View this post on Instagram A post shared by Mayor LaToya Cantrell (@mayorcantrell) Pythagoras was an ancient Greek philosopher and mathematician who lived 2,500 years ago. It’s not clear whether he or his disciples came up with his eponymous theorem. But the principle is a mainstay of math class and enables the calculation of the length of any side of a right-angled triangle — as long as the lengths of the other two sides are known. It’s usually summarized as a^2 + b^2 = c^2, in which the square of the longest side (the hypotenuse) is equal to the squares of the two shorter sides added together. Many mathematicians over the years have explained why the theorem works using algebra and geometry. In contrast, Jackson and Johnson were able to prove it using trigonometry — a subbranch of mathematics that focuses on the study of triangles. Doing the ‘impossible’ Experts described Jackson and Johnson’s approach as particularly challenging because trigonometry as a field is essentially based on Pythagoras’ theorem; thus using trigonometry to prove the theorem typically requires what mathematicians call “circular reasoning.” However, the new proofs aren’t circular, according to the study. “None of the theorems we use in our proofs … have already assumed the Pythagorean theorem to be true,” the authors wrote in the paper. Tom Murdoch, an honorary professor at the University of Bristol’s School of Mathematics in the United Kingdom, described the study as “impressive.” “I think what’s intriguing about it (this study) is that a lot

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of people thought it was impossible,” he said. “Trigonometric functions are based on sine and cosine, which are expressed as ratios of certain lengths of a right-angled triangle. It’s quite easy to get into a circular argument, and what’s so appealing about this is they found a line of argument using sine and cosine that doesn’t assume Pythagoras is true,” he added. RELATED ARTICLE Turbulent skies of Vincent Van Gogh’s ‘The Starry Night’ align with a scientific theory, study finds Jackson and Johnson’s study outlines five new ways of proving the Yeah I’m Serving Turkey Thanksgiving T-shirts besides I will buy this theorem using trigonometry, and their method reveals five more proofs for 10 total. The pair presented only one of the proofs at the 2023 conference, meaning that nine are totally new. “I think sometimes having very little knowledge of the problem means that you are not bound by what’s gone before. Looking at this with fresh eyes, which I think they’ve done, that’s the really impressive thing,” Murdoch said. Preparing the academic paper while they started college was “the most daunting task of all, since we had absolutely no experience writing for an academic journal,” the pair noted in the study. Their road to publication included a standard hurdle known as peer review, or the stage during which eminent scientists in the field examine and comment on the work. Johnson said she was happy to be able to show women and women of color in particular what can be achieved in a traditionally male-dominated field. “I am very proud that we are both able to be such a positive influence in showing that young women and women of color can do these things, and to let other young women know that they are able to do whatever they want to do. So that makes me very proud to be able to be in that position,” Johnson said in a news release.

— A two-level speakeasy in Mexico City’s hip Colonia Juarez neighborhood has been proclaimed the Yeah I’m Serving Turkey Thanksgiving T-shirts besides I will buy this world’s best bar. Handshake Speakeasy clinched the title last night in Madrid, where a splashy awards ceremony was held by the World’s 50 Best association.

— Simon Sio grew up in humble surroundings in the Yeah I’m Serving Turkey Thanksgiving T-shirts besides I will buy this heart of Macao, living in an old building directly across from what was then the city’s grandest accommodation, Hotel Central. Opened in 1928, it became a prestigious gathering place for celebrities and diplomats in the following decades. In the 1960s, young Sio would playfully sneak in – it was one of the few places in the former Portuguese colony with air conditioning, a vast, luxurious space compared to the old tenement buildings that surrounded it. But one day, he was thrown out. “As a kid, I didn’t know better,” Sio tells . “I pointed at the hotel and swore I’d buy it someday.” Though countless children around the world have made similar vows in the face of perceived injustice, Sio is one of the few to actually follow through with one. The businessman, now 65, founded his own real estate

development company, Lek Hang Group, in 1991. Fast forward to 2024 and Sio could recently be found cutting the Yeah I’m Serving Turkey Thanksgiving T-shirts besides I will buy this ribbon to officially reopen the 96-year-old Hotel Central as its new owner. But he didn’t buy the hotel out of spite. Sio says he wanted to restore a piece of Macao’s disappearing history, an issue that’s close to his heart. The 96-year-old Hotel Central, once an iconic landmark in the heart of Macao, reopened this year. Courtesy Lek Hang Group The grand dame of Macao In more recent years, luxurious resort complexes and skyscrapers have continuously popped up around Macao. In contrast, the sprawling alleys and old architecture along Avenida de Almeida Ribeiro, affectionately called San Ma Lo (translated as ‘The New Road’ in Cantonese) might not look all that exciting today. But when the road first opened in 1920, it instantly became the city’s most important thoroughfare. Hotel Central, formerly named the

President Hotel, opened a few years later and became a key feature of the Yeah I’m Serving Turkey Thanksgiving T-shirts besides I will buy this neighborhood. RELATED ARTICLE What it’s really like to live in Macao “If we talk about Macao’s history, we cannot neglect San Ma Lo. If we talk about San Ma Lo, we cannot neglect Hotel Central,” says Sio. The mint-colored seven-story hotel was the first building in Macao to have an elevator. In 1932, it became the first hotel in the city to have a two-floor casino. It was expanded to eight floors in 1938 and 11 floors in 1942, making it the tallest hotel in the city. However, by the 1960s, as competition intensified, Hotel Central began to lose its luster. Simon Sio, pictured, grew up across from Macao’s Hotel Central. Today, he’s the owner. Courtesy Lek Hang Group “The giant watched me grow up like an elder,” says Sio. “So I had a deep emotional attachment to it. At its peak, it was my idol. As I became older, its decay made my heart uncomfortable. “Until today, Hotel Central exists as the tallest, largest building on San Ma Lo. I felt that it should embody its power at its fullest potential. So I kept my eye out for opportunities to restore it.” That opportunity finally came in the 2000s, when the hotel’s two owners decided to sell. In 2016, Sio completed a seven-year acquisition process and officially became the new owner of the hotel. That was the first step. Renovating a nearly 100-year-old building is a challenging endeavor, particularly since the additional floors added to Hotel Central in the 1930s and 1940s