Welcome to the Sherwiki mini wiki at Scratchpad!

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Some Set Inclusions

\mathbb N\subset\mathbb Z\subset\mathbb Q\subset\mathbb R\subset\mathbb C

Limits of Sequences in \mathbb R

A sequence of real numbers, (x_n), converges to x\in\mathbb R if and only if for all \epsilon>0 there exists some N\ge 1 such that |x_n-x|<\epsilon whenever n\ge N.

Laplace Transforms

F(s)=\int_0^\infty f(t)e^{-st}dt

Abelian Groups

A group, (G,+), is abelian if and only if for all g_1,g_2\in G, g_1+g_2=g_2+g_1.

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