1,712 reputation
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bio website molinajosue.blogspot.com
location Houston, TX
age 25
visits member for 2 years, 6 months
seen yesterday

Mar
14
asked Prime Number Generator: $n\cdot2^n - 1$?
Mar
14
comment variation of parameters (constants)
Do you mean $xy(x)'+y(x)=x^2$?
Mar
14
comment What exactly do we mean when say “linear” combination?
No because $+$ is a linear operator, thus a linear combination.
Mar
14
accepted Is $2^p-1$ a pseudoprime to the base $2$?
Mar
14
asked Is $2^p-1$ a pseudoprime to the base $2$?
Mar
14
accepted Uniform Convergence of a Nonlinear Sequence of Functions #2
Mar
14
comment Uniform Convergence of an Exponential Sequence of Functions
Thank you very much! But is it really possible to show that rigorously? The first thing that came to my mind was to rewrite the sum using sigma notation, apply the triangle inequality to the expressions in $n$ and somehow manage to show that they can be made arbitrarily smaller than any chosen $\epsilon$ for a sufficiently large $n$.
Mar
14
comment Uniform Convergence of an Exponential Sequence of Functions
That inequality doesn't hold for $x\in\left(-1,0\right)$, though.
Mar
14
accepted Uniform Convergence of an Exponential Sequence of Functions
Mar
14
comment Uniform Convergence of an Exponential Sequence of Functions
Do you guys know where I can find documentation regarding this particular Taylor expansion? I would like to know how you reached that equality.
Mar
14
asked Uniform Convergence of an Exponential Sequence of Functions
Mar
14
comment Uniform Convergence of a Nonlinear Sequence of Functions #2
I just noticed that $t-\frac{t^2}2\leq \ln(1+t)\leq t$ does not hold for $t\in\left(-1,0\right)$.
Mar
13
revised Uniform Convergence of a Nonlinear Sequence of Functions #2
edited body
Mar
13
comment Uniform Convergence of a Nonlinear Sequence of Functions #2
If I am not mistaken, I think it is an abstraction of the second step, but I still do not understand how you got to it. I have another question: Why are we taking the logarithm base ten?
Mar
13
comment Uniform Convergence of a Nonlinear Sequence of Functions #2
I am totally confused... we have never been taught that theorem before, and my level of analysis is not that high to understand any suggestion I have been given thus far... I feel so foolish.
Mar
13
comment Uniform Convergence of a Nonlinear Sequence of Functions #2
Thank you very much, but I am confused: Where did $t-\frac{t^2}2\leq \ln(1+t)\leq t$ come from?
Mar
13
revised Uniform Convergence of a Nonlinear Sequence of Functions #1
I edited the title to match that of a second thread I made.
Mar
13
asked Uniform Convergence of a Nonlinear Sequence of Functions #2
Mar
13
comment What made you choose your research field?
I do not intend to hijack this thread, and Hardy, I apologize if I do, but I have an uncontrollable interest for number theory. However, I have the feeling that this field is so "pure" that it will be seldom useful outside professions dealing with cryptography and the likes. In other words, I am afraid that I will not be able to put bread on the table. Would anyone shed some light on this matter for me?
Mar
12
revised Uniform Convergence of a Nonlinear Sequence of Functions #1
I made the title more accurate for future searches.