The Exponential Function Learns To Wear PolesThis scene uses the classical Padé rational approximation of the exponential function. Instead of drawing arbitrary roots and poles, we start withRₙ(ζ) = Pₙ(ζ) / Pₙ(−ζ),where Pₙ is the diagonal Padé numerator for eᶻ. The roots of Pₙ become the zeros of the rational function, and the roots of Pₙ(−ζ) become its poles.Then the complex plane is gently warped by ζ = λ(t)eⁱᶿ(t)(z + c₂(t)z² + c₃(t)z³ + s(t))The visible pellets are the actual preimages of the
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The Exponential Function Learns To Wear PolesThis scene uses the classical Padé rational approximation of the exponential function. Instead of drawing arbitrary roots and poles, we start withRₙ(ζ) = Pₙ(ζ) / Pₙ(−ζ),where Pₙ is the diagonal Padé numerator for eᶻ. The roots of Pₙ become the zeros of the rational function, and the roots of Pₙ(−ζ) become its poles.Then the complex plane is gently warped by ζ = λ(t)eⁱᶿ(t)(z + c₂(t)z² + c₃(t)z³ + s(t))The visible pellets are the actual preimages of the
3K views2 weeks ago
x.comMathelirium
AI Demand Is Slowing Faster Than Wall Street ThinksIn this Short video, @jessefelder and @AdamTaggart discuss why AI demand may not be as strong as Wall Street expects.The AI boom has been built on one critical assumption: demand for compute will continue growing at an exponential rate. But what if that assumption is wrong?A growing number of signs suggest AI demand may be slowing faster than Wall Street expects.During the past few years, AI usage exploded because companies like OpenAI, Anthropi
2:59
AI Demand Is Slowing Faster Than Wall Street ThinksIn this Short video, @jessefelder and @AdamTaggart discuss why AI demand may not be as strong as Wall Street expects.The AI boom has been built on one critical assumption: demand for compute will continue growing at an exponential rate. But what if that assumption is wrong?A growing number of signs suggest AI demand may be slowing faster than Wall Street expects.During the past few years, AI usage exploded because companies like OpenAI, Anthropi
2.4K views2 weeks ago
x.comThoughtful Money®
Sam Altman says AI has already surpassed humans in some areas but struggles with long-horizon judgmentThe field was held back by scientists who were too certain about what scaling could not achieve, while other people now say:"it looks like the exponential is continuing beautifully. let's keep going"
1:43
Sam Altman says AI has already surpassed humans in some areas but struggles with long-horizon judgmentThe field was held back by scientists who were too certain about what scaling could not achieve, while other people now say:"it looks like the exponential is continuing beautifully. let's keep going"
1.4K views2 weeks ago
x.comHaider.
Clase con Maca on TikTok
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Clase con Maca on TikTok
May 16, 2023
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