Not known Facts About Infinite

Not known Facts About Infinite

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Zev ChonolesZev Chonoles 132k2121 gold badges342342 silver badges555555 bronze badges $endgroup$ eight 6 $begingroup$ What exactly is the relationship concerning these two fields? Is a single a subfield of one other? Is the first 1 algebraically closed? $endgroup$

$begingroup$ I have not effectively received my head spherical exactly what the difference is amongst "transfinite" and "infinite".

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without employing Taylor series. additional explicitly with out making use of calculus. how can We all know if a function is often expressed as sequence or not ?

one $begingroup$ @Zev: You can utilize quad as a protracted Place; and Bigg

I personally like Strategy 1 because it is quicker and more intuitive, as we don't have to multiply by $r$.

Observe that somebody might outline "transfinite" similar to "Dedekind infinite" which happens to be an abuse of terms in my opinion.

But I couldn' t get the last sentence. Anything you signify I should say something about calculus ? For example, I'm All set to take care of calculus, then how would we are saying irrespective of whether a operate is usually expressed as a series or not ? $endgroup$

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Examples consist of: should you be studying calculus of authentic variables, you might be almost certainly utilizing the extended true line; if you're quantifying the amount of things in a set, you happen to be likely using the cardinal quantities.

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For what infinite sequence can a closed type be acquired via the $text Sum = text Solution $ strategy? 1

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