Symbols:C
centi-
- $\mathrm c$
The Système Internationale d'Unités symbol for the metric scaling prefix centi, denoting $10^{\, -2 }$, is $\mathrm { c }$.
Its $\LaTeX$ code is \mathrm {c} .
Speed of Light
- $c$
The symbol for the speed of light is $c$.
Its $\LaTeX$ code is c .
Hexadecimal
- $\mathrm C$ or $\mathrm c$
The hexadecimal digit $12$.
Its $\LaTeX$ code is \mathrm C or \mathrm c.
Roman Numeral
- $\mathrm C$ or $\mathrm c$
The Roman numeral for $100$.
Its $\LaTeX$ code is \mathrm C or \mathrm c.
Coulomb
- $\mathrm C$
The symbol for the coulomb is $\mathrm C$.
Its $\LaTeX$ code is \mathrm C .
Cardinality of Continuum
- $\mathfrak c$
The symbol for the cardinality of the continuum is $\mathfrak c$.
Its $\LaTeX$ code is \mathfrak c .
Continuously Differentiable
- $C^k$ or $\mathrm C^{\paren k}$
Let $f: \R \to \R$ be a real function.
Let $k \in \N$.
Then $\map f x$ is of differentiability class $C^k$ if and only if:
- $\dfrac {\d^k} {\d x^k} \map f x \in C$
where $C$ denotes the class of continuous real functions.
That is, $f$ is in differentiability class $k$ if and only if there exists a $k$th derivative of $f$ which is continuous.
The $\LaTeX$ code for \(C^k\) is C^k .
The $\LaTeX$ code for \(\mathrm C^{\paren k}\) is \mathrm C^{\paren k} .
Smooth Real Function
- $C^\infty$
A real function is smooth if and only if it is of differentiability class $C^\infty$.
That is, if and only if it admits of continuous derivatives of all orders.
The $\LaTeX$ code for \(C^\infty\) is C^\infty .
Space of Analytic Real Functions
- $\mathrm C^\omega$
The set of all analytic real functions is called the space of analytic (real) functions and is denoted $\mathrm C^\omega$.
The $\LaTeX$ code for \(\mathrm C^\omega\) is \mathrm C^\omega .
Set of Complex Numbers
- $\C$
The set of complex numbers.
The $\LaTeX$ code for \(\C\) is \C or \mathbb C or \Bbb C.
Set of Non-Zero Complex Numbers
- $\C_{\ne 0}$
The set of non-zero complex numbers:
- $\C_{\ne 0} = \C \setminus \set 0$
The $\LaTeX$ code for \(\C_{\ne 0}\) is \C_{\ne 0} or \mathbb C_{\ne 0} or \Bbb C_{\ne 0}.
Extended Complex Plane
- $\overline \C$
The extended complex plane $\overline \C$ is defined as:
- $\overline \C := \C \cup \set \infty$
that is, the set of complex numbers together with the point at infinity.
The $\LaTeX$ code for \(\overline \C\) is \overline \C or \overline {\mathbb C} or \overline {\Bbb C}.
Relative Complement
- $\relcomp S T$ or $\map {\CC_S} T$
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 \(\relcomp S T\) is \relcomp S T .
The $\LaTeX$ code for \(\map {\CC_S} T\) is \map {\CC_S} T .
Set Complement
- $\map \complement S$ or $\map \CC S$
The set complement (or, when the context is established, just complement) of a set $S$ in a universal set $\mathbb U$ 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 \(\map \complement S\) is \map \complement S .
The $\LaTeX$ code for \(\map \CC S\) is \map \CC S .
Cosine
- $\cos$
The $\LaTeX$ code for \(\cos\) is \cos .
Cosecant
csc
- $\csc$
The $\LaTeX$ code for \(\csc\) is \csc .
cosec
- $\cosec$
The $\LaTeX$ code for \(\cosec\) is \cosec .
Cotangent
cot
- $\cot$
The $\LaTeX$ code for \(\cot\) is \cot .
ctn
- $\operatorname {ctn}$
The $\LaTeX$ code for \(\operatorname {ctn}\) is \operatorname {ctn} .
Hyperbolic Cosine
cosh
- $\cosh$
Its $\LaTeX$ code is \cosh .
ch
- $\operatorname {ch}$
A variant of $\cosh$.
Its $\LaTeX$ code is \operatorname {ch} .
Hyperbolic Cosecant
csch
- $\csch$
The $\LaTeX$ code for \(\csch\) is \csch .
cosech
- $\operatorname {cosech}$
The $\LaTeX$ code for \(\operatorname {cosech}\) is \operatorname {cosech} .
Hyperbolic Cotangent
- $\coth$
The $\LaTeX$ code for \(\coth\) is \coth .
Inverse Cosine
- $\cos^{-1}$
Its $\LaTeX$ code is \cos^{-1} .
Inverse Hyperbolic Cosine
cosh${}^{-1}$
- $\cosh^{-1}$
Its $\LaTeX$ code is \cosh^{-1} .
ch${}^{-1}$
- $\operatorname {ch}^{-1}$
A variant of $\cosh^{-1}$.
Its $\LaTeX$ code is \operatorname {ch}^{-1} .
cis
- $\cis$
The expression:
- $r \cis \theta$
is a shortened form of:
- $r \paren {\cos \theta + i \sin \theta}$
The $\LaTeX$ code for \(\cis\) is \cis .
Conjugacy Class
- $\conjclass x$
The conjugacy class of a group element $x$ is denoted $\conjclass x$.
The $\LaTeX$ code for \(\conjclass x\) is \conjclass x .
Covariance
- $\cov {X, Y}$
The covariance of random variables $X$ and $Y$ is denoted $\cov {X, Y}$.
The $\LaTeX$ code for \(\cov {X, Y}\) is \cov {X, Y} .
Centimetre
- $\mathrm {cm}$
The symbol for the centimetre is $\mathrm {cm}$:
Its $\LaTeX$ code is \mathrm {cm} .
Centimetre per Second
- $\mathrm {cm \, s^{-1} }$ or $\mathrm {cm / s}$
The symbol for the centimetre per second is $\mathrm {cm \, s^{-1} }$ or, less formally, $\mathrm {cm / s}$.
The $\LaTeX$ code for \(\mathrm {cm \, s^{-1} }\) is \mathrm {cm \, s^{-1} } .
The $\LaTeX$ code for \(\mathrm {cm / s}\) is \mathrm {cm / s} .
Square Centimetre
- $\mathrm {cm^3}$
The symbol for the cubic centimetre is $\mathrm {cm^3}$.
The $\LaTeX$ code for \(\mathrm {cm^3}\) is \mathrm {cm^3} .
Cubic Centimetre
- $\mathrm {cm^3}$
The symbol for the cubic centimetre is $\mathrm {cm^3}$.
The $\LaTeX$ code for \(\mathrm {cm^3}\) is \mathrm {cm^3} .
Cubic Centimetre: Also presented as
The symbol for the cubic centimetre is often informally presented as $\mathrm {cc}$.
Some (usually older) sources give it as $\mathrm {cu. \, cm.}$
The $\LaTeX$ code for \(\mathrm {cc}\) is \mathrm {cc} .
The $\LaTeX$ code for \(\mathrm {cu. \, cm.}\) is \mathrm {cu. \, cm.} .
Candela
- $\mathrm {cd}$
The symbol for the candela is $\mathrm {cd}$.
Its $\LaTeX$ code is \mathrm {cd} .
Capacitance
- $C$
The usual symbol used to denote capacitance is $C$.
Its $\LaTeX$ code is C .
Celsius
- $\cels$
The symbol for the degree Celsius is $\cels$.
The $\LaTeX$ code for \(\cels\) is \cels .
Calorie
- $\mathrm {cal}$
The symbol for the calorie is $\mathrm {cal}$.
However, this is of limited usefulness unless which specific type of calorie is under discussion, for example:
- the thermodynamic calorie, with symbol $\mathrm {cal_c}$
- the international calorie, with symbol $\mathrm {cal_s}$.
The $\LaTeX$ code for \(\mathrm {cal}\) is \mathrm {cal} .
International Calorie
- $\mathrm {cal_s}$
The symbol for the international calorie is $\mathrm {cal_s}$.
The $\LaTeX$ code for \(\mathrm {cal_s}\) is \mathrm {cal_s} .
International Calorie: Variant
- $\mathrm {cal_{IT} }$
The symbol for the international calorie can also be presented as $\mathrm {cal_{IT} }$.
The $\LaTeX$ code for \(\mathrm {cal_{IT} }\) is \mathrm {cal_{IT} } .
Thermodynamic Calorie
- $\mathrm {cal_c}$
The symbol for the thermodynamic calorie is $\mathrm {cal_c}$.
The $\LaTeX$ code for \(\mathrm {cal_c}\) is \mathrm {cal_c} .
Thermodynamic Calorie: Variant
- $\mathrm {cal_{th} }$
The symbol for the thermodynamic calorie can also be presented as $\mathrm {cal_{th} }$.
The $\LaTeX$ code for \(\mathrm {cal_{th} }\) is \mathrm {cal_{th} } .
4 Degree Calorie
- $\mathrm {cal_4}$
The symbol for the $4 \cels$ calorie is $\mathrm {cal_4}$.
The $\LaTeX$ code for \(\mathrm {cal_4}\) is \mathrm {cal_4} .
15 Degree Calorie
- $\mathrm {cal_{15} }$
The symbol for the $15 \cels$ calorie is $\mathrm {cal_{15} }$.
The $\LaTeX$ code for \(\mathrm {cal_{15} }\) is \mathrm {cal_{15} } .
20 Degree Calorie
- $\mathrm {cal_{20} }$
The symbol for the $20 \cels$ calorie is $\mathrm {cal_{20} }$.
The $\LaTeX$ code for \(\mathrm {cal_{20} }\) is \mathrm {cal_{20} } .
Mean Calorie
- $\mathrm {cal_{mean} }$
The symbol for the mean calorie is $\mathrm {cal_{mean} }$.
The $\LaTeX$ code for \(\mathrm {cal_{mean} }\) is \mathrm {cal_{mean} } .
Large Calorie
- $\mathrm {Cal}$
The symbol for the large calorie is $\mathrm {Cal}$.
The $\LaTeX$ code for \(\mathrm {Cal}\) is \mathrm {Cal} .
Hundredweight
- $\mathrm {cwt}$
The symbol for the hundredweight is $\mathrm {cwt}$.
The $\LaTeX$ code for \(\mathrm {cwt}\) is \mathrm {cwt} .
Square Centimetre per Second
- $\mathrm {cm^2 / s}$
The symbol for the square centimetre per second is $\mathrm {cm^2 / s}$.
Its $\LaTeX$ code is \mathrm {cm^2 / s} .
First Radiation Constant
- $c_1$
The symbol for the first radiation constant is $c_1$.
The $\LaTeX$ code for \(c_1\) is c_1 .
Second Radiation Constant
- $c_2$
The symbol for the second radiation constant is $c_2$.
The $\LaTeX$ code for \(c_2\) is c_2 .
Centimetre of Mercury
- $\mathrm {cm \, Hg}$
The symbol for the centimetre of mercury is $\mathrm {cm \, Hg}$.
The $\LaTeX$ code for \(\mathrm {cm \, Hg}\) is \mathrm {cm \, Hg} .