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Taylor Approximation ✍️ It shows a mathematical "best guess" evolving to match a complex 3D shape by adding layers of detail one step at a time. The purple surface is the original goal, while the red grid represents a polynomial approximation anchored at the center point. At first, the... red surface can only mimic the very middle of the shape. As the calculation adds more terms, visualized by the red grid rippling and shifting, the approximation "learns" how to curve and bend to match the target more accurately. This is a visual demonstration of how math can break down a detailed, wavy landscape into simpler instructions. When these instructions are stacked together, they recreate the entire surface with incredible precision. Video: mathwithmuzaashow more

ScieVision

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11,384 次观看 • 6 个月前 •via X (Twitter)

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A dramatic moment captures a space rock striking the Moon’s surface, creating a powerful and sudden impact. The object hits at incredible speed, producing a brief flash and disturbing the lunar surface. With no atmosphere to slow it down, the Moon is constantly exposed to impacts from space rocks, which have shaped its cratered landscape over billions of years. Events like this are happening all the time, but capturing one clearly is rare. This moment gives a glimpse into the dynamic nature of space and how even the Moon continues to change. A brief impact, but a powerful reminder of cosmic activity. #nasa #space #spacex

A dramatic moment captures a space rock striking the Moon’s surface, creating a powerful and sudden impact. The object hits at incredible speed, producing a brief flash and disturbing the lunar surface. With no atmosphere to slow it down, the Moon is constantly exposed to impacts from space rocks, which have shaped its cratered landscape over billions of years. Events like this are happening all the time, but capturing one clearly is rare. This moment gives a glimpse into the dynamic nature of space and how even the Moon continues to change. A brief impact, but a powerful reminder of cosmic activity. #nasa #space #spacex

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A dramatic moment captures a space rock striking the Moon’s surface, creating a powerful and sudden impact. The object hits at incredible speed, producing a brief flash and disturbing the lunar surface. With no atmosphere to slow it down, the Moon is constantly exposed to impacts from space rocks, which have shaped its cratered landscape over billions of years. Events like this are happening all the time, but capturing one clearly is rare. This moment gives a glimpse into the dynamic nature of space and how even the Moon continues to change. A brief impact, but a powerful reminder of cosmic activity. #nasa #space #spacex

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Footage of hypersonic missiles launched by Iran at Israel: the red color is the result of friction in the atmosphere, these are red trails of "Fateh" hypersonic ballistic missiles in the night sky. The IRGC gives the Israel such a "nighttime beauty", but they don't want to look at it and run to the bunkers - it's a shame

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🎺 The Gabriel's Horn also known as the Torricelli's Trumpet is a mind bending geometric paradox where an infinitely long shape encloses a strictly finite volume with an infinitely large surface area. The reason for the juxtaposition lies in the different mathematical rules used to calculate 3D volumes vs 2D surface areas when dealing with exponential quantities to infinity. As the horn stretches out infinitely, its opening gets so narrow that it becomes smaller than the width of a single atom. But the paradox exists only in theoretical math, in the physical world an enclosed volume is proportional to the surface that bounds it. 🔗

🎺 The Gabriel's Horn also known as the Torricelli's Trumpet is a mind bending geometric paradox where an infinitely long shape encloses a strictly finite volume with an infinitely large surface area. The reason for the juxtaposition lies in the different mathematical rules used to calculate 3D volumes vs 2D surface areas when dealing with exponential quantities to infinity. As the horn stretches out infinitely, its opening gets so narrow that it becomes smaller than the width of a single atom. But the paradox exists only in theoretical math, in the physical world an enclosed volume is proportional to the surface that bounds it. 🔗

𝓜𝒂𝒖𝒓𝒊𝔃𝒊𝒐 𝗜𝒃𝛼

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