Gauss sumó del 1 al 100 sin sumar Del 1 al 100 suman 5050, y no hace falta sumar: son 50 parejas que valen 101 cada una. Según la leyenda, Gauss lo vio con unos 9 años, en una escuela de Brunswick, mientras sus compañeros sumaban número a número. Doblas la fila por la mitad (1 100, 2 99, 3 98…) y todas las parejas valen lo mismo. Con bloques se ve todavía mejor: dos escaleras iguales forman un rectángulo de 100 × 101, y la suma es la mitad. Por eso se llaman números triangulares. Pero la h
3:06
Gauss sumó del 1 al 100 sin sumar Del 1 al 100 suman 5050, y no hace falta sumar: son 50 parejas que valen 101 cada una. Según la leyenda, Gauss lo vio con unos 9 años, en una escuela de Brunswick, mientras sus compañeros sumaban número a número. Doblas la fila por la mitad (1 100, 2 99, 3 98…) y todas las parejas valen lo mismo. Con bloques se ve todavía mejor: dos escaleras iguales forman un rectángulo de 100 × 101, y la suma es la mitad. Por eso se llaman números triangulares. Pero la h
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From the Oct 13 @The New York Times Daily episode: “Artificial intelligence has gone from struggling with basic arithmetic to helping solve some of mathematics’ most famous open problems — and the field is reckoning with what that means. Steven Strogatz, a professor of mathematics at Cornell University, describes the excitement and grief of watching A.I. take on work that gives people a sense of purpose — and asks what could be lost if machines deliver answers without the human struggle, insight
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From the Oct 13 @The New York Times Daily episode: “Artificial intelligence has gone from struggling with basic arithmetic to helping solve some of mathematics’ most famous open problems — and the field is reckoning with what that means. Steven Strogatz, a professor of mathematics at Cornell University, describes the excitement and grief of watching A.I. take on work that gives people a sense of purpose — and asks what could be lost if machines deliver answers without the human struggle, insight
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Graham’s number is one of the largest numbers ever used in a mathematical proof. It is so unimaginably huge that if you tried to write down every digit, there would not be enough atoms in the observable universe to store all those digits. To understand Graham’s number, first imagine the number 1,000. That is small. Now imagine one billion. Much bigger, but still easy to write. Now imagine 10 multiplied by itself 100 times. That gives you a number with 101 digits. Already much bigger than a billi
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