Symbols:C
Contents
centi-
- $\mathrm c$
The Système Internationale d'Unités metric scaling prefix denoting $10^{\, -2 }$.
Its $\LaTeX$ code is \mathrm {c} .
Hexadecimal
- $\mathrm C$ or $\mathrm c$
The hexadecimal digit $12$.
Its $\LaTeX$ code is \mathrm C or \mathrm c.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics: Entry: C (1)
Roman Numerals
- $\mathrm C$ or $\mathrm c$
The Roman numeral for $100$.
Its $\LaTeX$ code is \mathrm C or \mathrm c.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics: Entry: C (2)
The Set of Complex Numbers
- $\C$
The set of complex numbers.
The $\LaTeX$ code for \(\C\) is \C or \mathbb C or \Bbb C.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics: Entry: $\C$
The Set of Non-Zero Complex Numbers
- $\C_{\ne 0}$
The set of non-zero complex numbers:
- $\C_{\ne 0} = \C \setminus \left\{{0}\right\}$
The $\LaTeX$ code for \(\C_{\ne 0}\) is \C_{\ne 0} or \mathbb C_{\ne 0} or \Bbb C_{\ne 0}.
Deprecated
- $\C^*$
The set of non-zero complex numbers:
- $\C^* = \C \setminus \left\{{0}\right\}$
The $\LaTeX$ code for \(\C^*\) is \C^* or \mathbb C^* or \Bbb C^*.
Relative Complement
- $\complement_S \left({T}\right)$ or $\mathcal C_S \left({T}\right)$
Let $S$ be a set, and let $T \subseteq S$, that is: let $T$ be a subset of $S$.
Then the set difference $S \setminus T$ can be written $\relcomp S T$, and is called the relative complement of $T$ in $S$, or the complement of $T$ relative to $S$.
Thus:
- $\relcomp S T = \set {x \in S : x \notin T}$
The $\LaTeX$ code for \(\complement_S \left({T}\right)\) is \complement_S \left({T}\right) .
The $\LaTeX$ code for \(\mathcal C_S \left({T}\right)\) is \mathcal C_S \left({T}\right) .
Set Complement
- $\complement \left ({S}\right)$ or $\mathcal C \left ({S}\right)$
The set complement (or, when the context is established, just complement) of a set $S$ in a universe $\mathbb U$ is defined as:
- $\map \complement S = \relcomp {\mathbb U} S = \mathbb U \setminus S$
See the definition of Relative Complement for the definition of $\relcomp {\mathbb U} S$.
The $\LaTeX$ code for \(\complement \left ({S}\right)\) is \complement \left ({S}\right) .
The $\LaTeX$ code for \(\mathcal C \left ({S}\right)\) is \mathcal C \left ({S}\right) .
