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basic_tools:symbols [2018/03/21 10:39] jakobadmin |
basic_tools:symbols [2018/03/28 16:09] jakobadmin |
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====== Symbols ====== | ====== Symbols ====== | ||
- | There are several species of equality: | ||
\begin{align} | \begin{align} | ||
- | = & \quad \text{exactly equal} \notag \\ | + | &\mathbb{N} = \{0, 1, 2, 3, \ldots\} \\ |
- | \propto & \quad \text{equality except perhaps for a factor with dimension} \notag\\ | + | &\mathbb{Z} = \{0, \pm 1, \pm 2, \pm 3, \ldots \} \\ |
- | \sim & \quad \text{equality except perhaps for a factor without dimensions} \notag \\ | + | &\mathbb{Q} = \rm Rational \; Numbers \it \\ |
- | \approx & \quad \text{equality except perhaps for a factor close to 1} | + | &\mathbb{R} = \rm Real \; Numbers \it \\ |
+ | &\mathbb{C} = \rm Complex \; Numbers \it \\ | ||
+ | &\mathbb{Z}_n = \mathbb{Z} \; \mod \; n \\ | ||
+ | &\Rightarrow \rm \; is \; read \; ``implies"\\ | ||
+ | &\rm iff \; is \; read \; ``if\; and \; only \; if" \\ | ||
+ | &\forall \rm \; is \; read \; ``for \; every" \\ | ||
+ | &\exists \rm \; is \; read \; ``there \; exists" \\ | ||
+ | &\in \; \rm is \; read \; ``in" \\ | ||
+ | &\ni \; \rm is \; read \; ``such \; that" \\ | ||
+ | &\dot{=} \; \rm is \; ``represented \; by" \\ | ||
+ | &\subset \; \rm is \; ``subset\; of" \\ | ||
+ | &\equiv \; \rm is\;``defined\; as" \\ | ||
+ | &= \quad \text{exactly equal} \notag \\ | ||
+ | &\propto \quad \text{equality except perhaps for a factor with dimension} \notag\\ | ||
+ | &\sim \quad \text{equality except perhaps for a factor without dimensions} \notag \\ | ||
+ | &\approx \quad \text{equality except perhaps for a factor close to 1} | ||
\end{align} | \end{align} | ||
- | Source: page 6 in Street Fighting Mathematics by Mahajan | ||
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