MSN: Miinta consigue (por fin) que los adolescentes pidan apoyo emocional en colegios e institutos a través de WhatsApp
Miinta consigue (por fin) que los adolescentes pidan apoyo emocional en colegios e institutos a través de WhatsApp
MSN: La ciencia lo confirma: dormir hasta tarde el fin de semana beneficia la salud mental adolescente
Dormir hasta tarde el fin de semana para recuperar el sueño perdido durante la semana puede ser bueno para la salud mental de los adolescentes, según una nueva investigación de la Universidad de ...
La ciencia lo confirma: dormir hasta tarde el fin de semana beneficia la salud mental adolescente
The theorem that $\binom {n} {k} = \frac {n!} {k! (n-k)!}$ already assumes $0!$ is defined to be $1$. Otherwise this would be restricted to $0 <k < n$. A reason that we do define $0!$ to be $1$ is so that we can cover those edge cases with the same formula, instead of having to treat them separately. We treat binomial coefficients like $\binom {5} {6}$ separately already; the theorem assumes ...
What I would say is that you can multiply any non-zero number by infinity and get either infinity or negative infinity as long as it isn't used in any mathematical proof. Because multiplying by infinity is the equivalent of dividing by 0. When you allow things like that in proofs you end up with nonsense like 1 = 0. Multiplying 0 by infinity is the equivalent of 0/0 which is undefined.
So what IS the Holy Bible / The Great Standardization Document of All Definitions for Mathematics? Because people are often fighting over different definitions of mathematical entities, 0 being one of such examples (French always start a flamewar when someone says 0 is not positive, because for French, 0 is positive and negative at the same time :P ). Same goes with definitions of angles, or ...