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"The scientist is not a person who gives the right answers, he is one who asks the right questions."

Claude Levi-Strauss

"It is not the answer that enlightens, but the question."

Decouvertes

"Millions saw the apple fall, but Newton was the one who asked why."

Bernard Baruch

"Ask the right questions. The fastest way to change the answers you receive."

Lee J. Colan

"Questions focus our thinking. Ask empowering questions like: What's good about this? What's not perfect about it yet? What am I going to do next time? How can I do this and have fun doing it?"

Charles Connolly


1d
asked Evaluating $\int^b_a \frac{dx}{x}$ from the definition of the integral
1d
comment Using integral definition to solve this integral
So isn't possible to evaluate this integral without using equidistant spacings?
1d
comment Using integral definition to solve this integral
Thank you for the remark :)
2d
comment Using integral definition to solve this integral
Yes, but isn't it possible to solve this integral using only the definition of integral as I was trying to do?
2d
comment Doubt in l'Hôpital rule
@FrankConry I didn't understand why we have to use this fact in this solution.
2d
comment Using integral definition to solve this integral
My definition is different, the delta in my definition is not fixed.
2d
asked Using integral definition to solve this integral
2d
comment Mistake in a question in Fulton's algebraic curves book?
why $k[X]=k[Y]$? it's not so obvious for me.
Jul
19
comment Doubt in l'Hôpital rule
@brad which limit? numerator limit? or the limit itself?
Jul
19
asked Doubt in l'Hôpital rule
Jul
19
comment Euclid's proof of the infinitude of primes to prove this question
interesting approach, thanks.
Jul
19
comment Mistake in a question in Fulton's algebraic curves book?
@KeenanKidwell please can you add this example in your answer so that I can upvote it and maybe check the answer tomorrow?
Jul
19
comment Mistake in a question in Fulton's algebraic curves book?
@KeenanKidwell yes, thank you very much, I think I misread the question and I confused sum with multiplication which is not true since $k$ is not necessarily an algebraically closed field.
Jul
19
comment Mistake in a question in Fulton's algebraic curves book?
@KeenanKidwell Following the question $F\in \mathbb R[X_1]$, no?
Jul
19
comment Mistake in a question in Fulton's algebraic curves book?
@KeenanKidwell yes, it's just to show you that I can factor $G$ in this way, but I can't do the same with $F$.
Jul
19
comment Mistake in a question in Fulton's algebraic curves book?
@KeenanKidwell for example, let's take $G= X_1^2-2X_1+1=(X_1-1)^2$ so the $a_1=1$ and $i_1=1$
Jul
19
comment Mistake in a question in Fulton's algebraic curves book?
@KeenanKidwell this is the problem, I can't factor $F$ in this way.
Jul
19
asked Mistake in a question in Fulton's algebraic curves book?
Jul
19
revised Euclid's proof of the infinitude of primes to prove this question
deleted 18 characters in body
Jul
19
asked Euclid's proof of the infinitude of primes to prove this question