where $\beta$ is defined like this:
I'm trying to prove (2.18) but i don't know how to do, i calculated the integral but i don't find anything
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EDIT1: $\beta(\phi_{\lambda,p,\rho}(y))=\displaystyle\frac{\int_{\mathbb{R}^N} x |\nabla(\phi_{\lambda,...
try talking to people in your classes about what you're working on in class ... my students get to know each other quite a bit in my office hours. Find a club to go to and meet some people with common interests, @Answer.
In my lecture notes we have the following:
Proposition: $$V(S)=V(\langle S \rangle )$$
Proof:
$$\langle S \rangle=\left \{\sum_{i=1}^m g_i f_i | f_i \in S, g_i \in R=K[x_1, x_2, \dots , x_n]\right \}$$
It stands that $S \subseteq \langle S \rangle$
$\Rightarrow V(S) \supseteq V(\langle ...
@robjohn My proof to that limit I showed you yesterday also covers the case $|\sin(b x)|$. I mean in my book at the same problem I might add $2$ variants, also this one.
Write down the definitions, @user159870. Remember that $g_i$ can be chosen arbitrarily. I don't know if there are just $m$ functions. I think $m$ can vary, unless they said specifically that there were $m$ functions.
Does anyone know if the following is valid, or some variation of it, for sequences $a_{n}$ and $b_{n}$, if $a_{n} \rightarrow a$ then $$\liminf\limits_{n \rightarrow \infty}(a_{n}+ b_{n}) = \lim\limits_{n \rightarrow \infty}a_{n} + \liminf\limits_{n \rightarrow \infty}b_{n}$$?
@TedShifrin Most people would say I should not think that way, but you said lovely thought. That really surprised me. I must say yours is a lovely thought, lol.
We have that $S \subseteq \langle S \rangle$. $V(S)$ is the set of roots of the functions of $S$ and $V(\langle S \rangle )$ is the set of roots of the functions of $\langle S \rangle$. So that $ V(S) \supseteq V(\langle S \rangle )$ it must be that the roots of the functions of $\langle S \rangle$ are also the roots of the functions of $S$ , correct? How can we show that it is indeed so? @TedShifrin
Hi guys, I have a question about probability, suppose a person can assign at the same time 3 different tasks to an employer: A with 80%, B with 60%, C with 40% and at most 1 task will be assigned. Task A cost X minutes, B y minutes and Z y minutes. I need to calculate the average time that the employer will spend doing the tasks assigned. How can I achieve it?:-
In my lecture notes there is the following:
$$I \rightarrow V(I) \rightarrow I(V(I))$$
It stands that in general $I \subsetneq I(V(I))$.
The equality stands if and only if $I$ is a radical Ideal.
Can you explain why this stands???
$$V \rightarrow I(V) \rightarrow V(I(V))$$
The equalit...
@SayanChattopadhyay I am one of the many moderators.
@user159870 To achieve the above, show that the two of $k[x,y]/(x\pm y)$ are isomorphic to $k[x]$. This is a domain, hence they are prime ideals.
To do so, you can carry division in $k[x][y]$ by the monic polynomial $x\pm y$, to conclude that the kernels of the morphisms $k[x,y]\to k[x]$ with $x\to x,y\to \pm x$ are the desired ideals.
Well, I was rereading the proof of homotopy invariance of singular homology groups, and I think I don't really understand the prism operator. Can you provide some insights?
@ADG Well, if you didn't "plagiarize" purposedly, I find the ban at least an overreaction. But since I am not in the mod team of chem.SE, you must follow their policy.
In particular, I won't tell them to something about it, if that's something that crossed your mind.
Once a user asked, "Where can I find the reactivity order of ligands?" *ligands=(chemistry moeity). and I answered "You're looking for Spectrochemical series. Google up there's many around" and they deleted my answer saying it was too brief. They couldn't understand properly the help center and what it means to be briedf and when it's ok to have a hint.
AFAIK there's only one or(three atmax )moderators and site is beta. I'll revoltutionize the siet when I can become a MOD
where $\beta$ is defined like this:
I'm trying to prove (2.18) but i don't know how to do, i calculated the integral but i don't find anything
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
EDIT1: $\beta(\phi_{\lambda,p,\rho}(y))=\displaystyle\frac{\int_{\mathbb{R}^N} x |\nabla(\phi_{\lambda,...
In my lecture notes we have the following:
Proposition: $$V(S)=V(\langle S \rangle )$$
Proof:
$$\langle S \rangle=\left \{\sum_{i=1}^m g_i f_i | f_i \in S, g_i \in R=K[x_1, x_2, \dots , x_n]\right \}$$
It stands that $S \subseteq \langle S \rangle$
$\Rightarrow V(S) \supseteq V(\langle ...
