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Mathematical Coalescence. Math machine. A strange pattern emerges in these Archimedean Spirals with interconnecting tubes. "The pattern 東南西北 can be displaced, but remains conserved." By Raven Kwok, Raven Kwok, Used with permission

Cliff Pickover

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164,837 次观看 • 9 天前 •via X (Twitter)

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Mathematics. Every minute, draw a line from the end of the minute hand, to the end of the hour hand. A wonderful pattern emerges. By Matt Henderson, Matt Henderson, used with permission. [math, maths]

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Cliff Pickover

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.Eric Jang tried using transformers for his Go bot, but they couldn't beat ResNets. The reason gets at something general about architectures. ResNets are biased towards the local. Nearby things matter more, and a useful pattern in one place is a useful pattern anywhere. Transformers are biased the other way, towards global context, with every position able to attend to every other. Most Go fighting is local, and a useful local pattern learned in one position can be applied anywhere in the board. A ResNet's inductive bias means it gets these insights about Go for free. But a transformer has to pay for them.

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Sir Roger Penrose just delivered a masterclass in physical skepticism. In this sharp exchange with Brian Cox, he dismantles the dangerous allure of mathematical aestheticism. We often fall into the trap of assuming that if an equation is beautiful, it must be true. But Sir Roger warns that "beauty is a misleading guide." String Theory, for all its intricate Calabi-Yau manifolds and vibrant 11-dimensional symmetries, remains an elegant mathematical construct yet to be anchored by empirical data. It’s a sobering reminder: the universe is under no obligation to conform to our human standards of "pretty" math. Reality is gritty, and sometimes the truth lies in the most "unattractive" corners of entropy. Credit: TheInstituteOfArtAndIdeas

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The usefulness of the fibrillar pattern and pennation angle in the ultrasound diagnosis of muscle injury A 17-year-old patient who, while braking while playing football, feels a sharp pain in the anterolateral region of the proximal third of the thigh that prevents him from continuing to play sports. Typically, the axial plane (the short axis of the muscle) is used to study fibrillar tears, with a high diagnostic sensitivity. However, on many occasions, it can be easier to scan through the long axis of the muscle to visualize the different muscle fascicles and the pennation angle in their entirety, being able to make the diagnosis by observing the interruption and loss of tension of the muscle fascicles associated with the loss of the normal pennation angle. In the present case, the normal fibrillar pattern is initially visualized in the medial region of the rectus femoris muscle until the presence of a fibrillar tear in the posterolateral myofascial junction of its proximal third, where there is a sudden interruption of the fibrillar pattern due to the presence of an intramuscular hematoma.

The usefulness of the fibrillar pattern and pennation angle in the ultrasound diagnosis of muscle injury A 17-year-old patient who, while braking while playing football, feels a sharp pain in the anterolateral region of the proximal third of the thigh that prevents him from continuing to play sports. Typically, the axial plane (the short axis of the muscle) is used to study fibrillar tears, with a high diagnostic sensitivity. However, on many occasions, it can be easier to scan through the long axis of the muscle to visualize the different muscle fascicles and the pennation angle in their entirety, being able to make the diagnosis by observing the interruption and loss of tension of the muscle fascicles associated with the loss of the normal pennation angle. In the present case, the normal fibrillar pattern is initially visualized in the medial region of the rectus femoris muscle until the presence of a fibrillar tear in the posterolateral myofascial junction of its proximal third, where there is a sudden interruption of the fibrillar pattern due to the presence of an intramuscular hematoma.

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“I used to think a grandma was supposed to be someone very old, but since I came to this school, I’ve seen grandmothers who are 40 or 42 years old, and their grandkids are already in secondary school. If care is not taken, the children may continue the same pattern. How can we educate these kids so they don’t repeat the mistakes their parents made?” — Lady says.

“I used to think a grandma was supposed to be someone very old, but since I came to this school, I’ve seen grandmothers who are 40 or 42 years old, and their grandkids are already in secondary school. If care is not taken, the children may continue the same pattern. How can we educate these kids so they don’t repeat the mistakes their parents made?” — Lady says.

𝐀𝐬𝐚𝐤𝐲𝐆𝐑𝐍

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IMPORTANT VIDEO OF THE DELIBERATE DEPLOYMENT TOXIC VACCINE BATCHES This is a very important video by Craig Paardekooper, to be kept for posterity. This proves that this was a very deliberate and orchestrated attack Varying degrees of toxicity from batch to batch. A very precise pattern emerges along the timeline mixed with periods of placebo or less toxic batches to make it appear random. This is anything but random. This is the MP4 file I have created in case deleted. ****Bitchute video link removed

Dr Dave Cartland BMedSc MBChB Ex-MRCGP

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"It feels like he's been pursuing this cycle of diminishing returns." Jose Mourinho's managerial tenures used to follow a similar pattern across three seasons. Now, the chaos all seems to play out in one campaign — with less success to show for it. Can this iteration of 𝙏𝙝𝙚 𝙅𝙤𝙨𝙚 𝙈𝙤𝙪𝙧𝙞𝙣𝙝𝙤 𝙀𝙭𝙥𝙚𝙧𝙞𝙚𝙣𝙘𝙚 be a success at Real Madrid? 🎙️ 𝗧𝗵𝗲 𝗔𝘁𝗵𝗹𝗲𝘁𝗶𝗰 𝗙𝗖 𝗣𝗼𝗱𝗰𝗮𝘀𝘁

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