How can I read this mathematical sentence out loud in English?

A map $s : \mathbb{N} \to X$ is a determinable series in $(X,\nu_X)$ when there exists a determinable map $f : \mathbb{N} \to \mathbb{N}$ such that $s(n) = \nu_X(f(n))$ for all $n \in \mathrm{dom}(\nu_X)$.

My ideal hunch would certainly be, "A map s taking N onto X is a determinable series in the??? (X, nu??) when there exists a determinable map f taking N onto N such that s at n amounts to??? of f ??? for all n components of the domain name of nu ???."

I am looking for a means to read it out loud that inscribes all the components of the sentence right into speech.

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2019-05-18 23:11:08
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Answers: 4

I would certainly claim "A map s is a determinable series when there exists a determinable map f pleasing particular buildings" while listing the building.

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2019-05-21 08:47:05
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" A map ess from en to ex-spouse is a determinable series in ex-spouse nu - ex-spouse when there exists a determinable map eff from en to en such that ess of en amounts to nu - ex-spouse of eff of en for all en in the domain name of nu - ex-spouse."

The hyphens are suggested to show that the time out in between these syllables is much shorter than in between 2 apart words.

Yes, I am not explaining in words that the X is subscripted, the gotten set, or the distinction in between $n$ and also $\mathbb{N}$. I think you are speaking about a scenario where you are creating this declaration on the board as you talk. Connecting any kind of substantial quantity of mathematics in a totally dental fashion is unbelievably tough due to the fact that mathematical symbols is much denser than average talked language ; I find that I need to omit some information in order for the sentence to suit my audience is head.

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2019-05-21 08:41:07
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I would certainly attempt to maintain it actually straightforward. As opposed to explaining in words all the function and also set icons and also , I would certainly simply claim, " A determinable series is the outcome of making up a symbols after a determinable function ." I think you are chatting Computable Analysis concept and also by $\nu_X$ you plan a symbols $\nu_X:\subseteq \Sigma^* \to X$. Certainly, this analysis thinks your target market currently recognizes what you suggest by a symbols and also a determinable function .

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2019-05-21 08:16:38
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David Speyer created just how I would certainly claim it in practise, in a context where I was creating it on a black/whiteboard. Below is just how I would certainly claim it in a club or strolling down the road:

" Let is specify a 'depiction map for X' [ or your very own recommended lingo ] to be simply some partial function nu, from the all-natural numbers to X. After that we can specify a determinable series for that depiction map nu to be any kind of function s, from the all-natural numbers to X, which [follows / concurs with / expands ] the make-up of nu with a determinable function f on the all-natural numbers."

When making use of all-natural language, pick your nouns intelligently and also identify them. Do you respect the gotten set $(X,\nu_X)$, or actually simply the map $\nu_X$ (for which $X$ is simply the history versus which the suggestion exists)? What is the duty of the partial map $\nu_X$ in the suggestion you are connecting? Do you respect the integers $f(n) \in \mathop{\mathrm{dom}}(\nu_X)$ over which you evaluate, or actually simply the domain name of the composite function $\nu_X \circ f$?

Recognize the major personalities in the run-through of your play, and also their duties: you will certainly have a far better opportunity of moving the things and also morphisms of your suggestion consistently to your dialogists.

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2019-05-21 01:06:01
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