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Progress was rapid only eight years separated Gagarin's flight from the infinitely more complicated mission that put Neil Armstrong and Buzz Aldrin on the surface of the moon.
Greene's take-home message is that we must be cautious about trusting our gut instincts because they evolved in a world that is quite different from the infinitely more complex, technology-driven, globally connected one in which we live today.
Progress was rapid only eight years separated Gagarin's flight from the infinitely more complicated mission that put Neil Armstrong and Buzz Aldrin on the surface of the moon in 1969.
Marie's kleptomania, Walt Jr's half-arsed foray into teenage rebellion and Jessie's family issues all felt as if they were unnecessary sashays away from the infinitely more diverting central story.
But today's scientific research seems to cover it all, from the infinitely small to the infinitely large.
This pattern, atom within universe within atom, is believed to be infinitely repetitive, from the infinitely small, to the infinitely large.
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And from there, the infinitely small might even just be right under that.
To describe it more precisely, we consider from three aspects the infinitely dimensional Hamiltonian system H=H u,v =frac{1}{2}sum_{ninmathbb {Z}} lambda_{n}bigl u_{n}^{2}+v_{n}^{2} bigr)+epsilon P u,v), (1.2) where P is of short range.
From a practical standpoint, the infinitely long shadows nominally cast at sunrise and sunset are of course irrelevant.
The point there was that from the perspective of the infinitely vast whole, the difference between the height of the sky and earth may be insignificant.
Riemann adopted the same principles in geometry as did Faraday and Maxwell before him in electromagnetism, namely, to understand the world from its behavior in the infinitely small.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com