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Stay tuned for an upcoming press release!Q:

Algebraic Closure of rational functions

In terms of algebraic extensions, if we have $\alpha \in \mathbb{R}$, and $\alpha$ is algebraic, then we have the canonical field extension $\mathbb{R}(\alpha)$ over $\mathbb{R}$, and we know that this is an algebraic extension. It is true that all algebraic numbers over $\mathbb{R}$ can be expressed in $\mathbb{R}(\alpha)$?
This is also true for real polynomials, but this is not the case for rational functions. For example, if $f(x)= \frac{x+2}{x-2}$, then we have $\mathbb{Q}(\alpha) \subseteq \mathbb{Q}(f(x))$ but $\mathbb{Q}(f(x))
eq \mathbb{Q}(\alpha)$. Is there a canonical field extension that can represent all real polynomials, and rational functions?

A:

If you consider $\mathbb{Q}(\alpha)$ as a sub-field of $\mathbb{

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  Javascript – create a list from a flat array of objects

  I have an array of objects:
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  With a for loop, I want to make a list of objects from this array. The length is constantly changing but always the same number of objects, say 5 for this example. When I put for(var i = 0; i < data.length; i++) { /* my logic */ }, I just get a list of empty objects. I have looked around for a way to do this, but I could not get this to work.
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  You could create an array out of the object, then use filter to filter the array by the date property.

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