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user131753
In mathematics, the Sierpiński space (or the connected two-point set) is a finite topological space with two points, only one of which is closed. It is the smallest example of a topological space which is neither trivial nor discrete. It is named after Wacław Sierpiński.
The Sierpiński space has important relations to the theory of computation and semantics, because it is the classifying space for open sets in the Scott topology.
== Definition and fundamental properties ==
Explicitly, the Sierpiński space is a topological space S whose underlying point set is {0,1} and whose open sets are
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I want to prove that unit cricle is a Lie grouop. $i.e$, want to show that the multiplication and inverse function is smooth.
The multiplication and inverse is given by
\begin{align}
&m(e^{i\theta}, e^{i\phi}) = e^{i(\theta+\phi)} \\
&i(e^{i\theta}) = e^{-i\theta}
\end{align}
i tried to find...
It's in the lower right corner of some of my pages:
In software engineering, rubber duck debugging or rubber ducking is a method of debugging code. The name is a reference to a story in the book The Pragmatic Programmer in which a programmer would carry around a rubber duck and debug their code by forcing themselves to explain it, line-by-line, to the duck. Many other terms exist for this technique, often involving different inanimate objects.
Many programmers have had the experience of explaining a problem to someone else, possibly even to someone who knows nothing about programming, and then hitting upon the solution in the process of explaining...
I couldn't miss this now, on all SE sites:
What are the duck powers? Was anyone able to make it do or say anything other than "Quack"?
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