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. CRACKMicrosoftWindows10Prox64enUS1809KMiSO.Q:
Jquery selector with an id
What is the selector for calling an element’s id?
something
I’m using this in an IE6 document, and it seems like the first selector that gets evaluated is id=”foo”. If that’s the case, how do I select it?
A:
I can’t exactly remember, but it is $(‘#foo’).
You could use this selector:
$(‘*[id$=”foo”]’)
or
$(‘#foo’)
Q:
Examining the proof of Stone–Weierstrass Theorem
The proof of Stone–Weierstrass theorem given in Conway & Guy (1971) is as follows:
Suppose $X$ is an infinite set and let $C$ be a subset of $X$ with the following property:
For each sequence $(x_n)$ in $C$ there is a subsequence $(x_{n_i})$ converging to some point $x\in X$.
To prove that $C$ contains an dense subset it is sufficient to show that the complement of $C$ is finite.
Let $C^\prime$ be the complement of $C$. Suppose that $\{x_n:n\in\Bbb N\}=C^\prime$. We define a map $h:C\to X$ by
$$h(x)=\lim_{n\to\infty}x_{n+1}.$$
One can show that this $h$ is a surjection. Since there are only finitely many points in $X$ there are only finitely many points in $C^\prime$.
Question 1. Is the following a step right in the proof? If not, what is the correct statement?
To show that $h$ is a surjection, consider the following cases:
https://documenter.getpostman.com/view/21888352/UzXSuaLL
https://ello.co/exgregftincta/post/faleuolj4rezfxpeykgeua
https://ello.co/3siosuoprinzo/post/lj6g590xnqx–q63j_rzna
https://ello.co/mereqom_zu/post/kr8wmzmikdar5olkhoylfq
https://colab.research.google.com/drive/1jRDRqFoCSdxHsabhJMwGd5xNCqTC6d6E
https://documenter.getpostman.com/view/21909613/UzXURuum
https://colab.research.google.com/drive/1w1wkWmEMEpzHYYTlY0qSLC6VoQ5UQ-Ex
https://ello.co/palfunyfute/post/k0ediahksumg7qafyrmbva
https://colab.research.google.com/drive/1R3dXhSS254lcAPylAbvbMsyDGDjNTETu
https://colab.research.google.com/drive/1qM3ie6IKqLngB4u5edMsXfs4U97JGcV2
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