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Martin Sleziak
Martin Sleziak
08:32
The tag legendre-transform was created, but since it has already been removed from the question where it was created, it will probably disappear soon.
Other new tags are gradual-element (created by Javier) and linear-form (created by E. Joseph).
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Q: What is the intuition for the concept of gradual element?

JavierThe notion of a fuzzy subset is intuitively given as a map $\mu:X \to [0,1]$ as a mapping specifying different "degrees of membership" in a set $X$. However, I don't see such an intuitive explanation for the concept of gradual element which I have defined as a mapping $\epsilon:]0,1] \to X$ Is...

intuition fuzzy-set gradual-element
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Q: A linear form can not be too small on rational points

E. JosephNotations. Let $\xi=(\xi_1,\xi_2,\xi_3,\xi_4)\in\mathbb( R\setminus\mathbb Q)^4$ such that $\xi_1\xi_4-\xi_2\xi_3\ne 0$ and the $\xi_i$ are linearly independent over $\mathbb Q$. I have the following linear form: $$\begin{matrix}L\colon & \mathbb R^6 & \to & \mathbb R \\ &(\eta_1,\ldots,\eta_6) &

real-analysis irrational-numbers rational-numbers diophantine-approximation linear-form

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