848 reputation
521
bio website
location Munich
age
visits member for 2 years, 9 months
seen Apr 7 at 15:32

Dec
4
comment Computation of coefficients of Lagrange polynomials
I have implemented a Polynomial class which has the eval method based on the Horner scheme. Do you think, that i should use this? My first thought was to check whether i can get the coefficients with a more efficient algorithm rather then evaluating something... furthermore, while writing this, i need to remember the exact task. We must create the polynomial without a specific $x$. That is the reason why we have a Polynomial class. This is where my intention comes from to directly compute the coeffs.
Dec
4
comment Computation of coefficients of Lagrange polynomials
I could do that, but want to avoid that. We should implement this in Java for our Numerics lecture and we learned that it is a pain to derive as there many small errors can extremely influence the result! So i wanted a "small" expression that can be easily evaluted.
Dec
4
asked Computation of coefficients of Lagrange polynomials
Nov
29
accepted Is $n=\mathcal{O}(n+1)$?
Nov
29
comment Is $n=\mathcal{O}(n+1)$?
This notation is weird I know, so i will change this one. In a few minutes I will accept your answer, when the system allows me to do so.
Nov
29
asked Is $n=\mathcal{O}(n+1)$?
Nov
1
comment Limit proof of a sqrt-heavy expression with binomial formula / sandwich-rule
@CaptainGiraffe: By obvious I mean that if you think aboout it, there is something about this idea. Furthermore I checked the limit with Mathematica and know that $\sqrt{2}$ is the solution.
Nov
1
comment Limit proof of a sqrt-heavy expression with binomial formula / sandwich-rule
+1 for the explanation of the method my fellow students used! However, as you already mentioned, I sticked to the conjugate quantity method which was much easier ;)
Nov
1
accepted Limit proof of a sqrt-heavy expression with binomial formula / sandwich-rule
Nov
1
comment Limit proof of a sqrt-heavy expression with binomial formula / sandwich-rule
Although I never heard of either these methods, the first one seems the most convenient and human-readable one which solves my problem here! After reading the Wikipedia article this will be the solution I will use. Thanks!
Nov
1
revised Limit proof of a sqrt-heavy expression with binomial formula / sandwich-rule
inserted new try of proof
Nov
1
asked Limit proof of a sqrt-heavy expression with binomial formula / sandwich-rule
Oct
31
accepted Proof for convergence of a given progression $a_n := n^n / n!$
Oct
31
comment Proof for convergence of a given progression $a_n := n^n / n!$
Interesting approach, but the other hints were much easier to use. Sorry.
Oct
31
asked Proof for convergence of a given progression $a_n := n^n / n!$
Oct
9
accepted Transform uniform distribution to normal distribution using Lindeberg–Lévy CLT
Oct
9
accepted Function as parameter in Wolfram Mathematica
Oct
8
comment Function as parameter in Wolfram Mathematica
Is there any way, like in programming languages, to define an "anonymous function" (a.k.a. lambda-expression) the way i tried?
Oct
8
comment Function as parameter in Wolfram Mathematica
It does not work like expected! E.g. $E(f)(x)$ is now called TranslateEx. TranslateEx[fn_] := Apply[fn, {x + 1}] and then TranslateEx[x] leads to the result x[1 + x]. What does this mean? I expected x + 1 as the result. EDIT It seems i cannot enter a function directly and i need to specify it explicitly...
Oct
8
asked Function as parameter in Wolfram Mathematica