Symbols:C

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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.

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

$C^\infty$ or $\mathrm C^\omega$


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 .

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 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 \(\map \complement S\) is \map \complement S .

The $\LaTeX$ code for \(\map \CC S\) is \map \CC S .


Cosine

$\cos$

Cosine.


The $\LaTeX$ code for \(\cos\) is \cos .


Cosecant

csc

$\csc$

Cosecant.


The $\LaTeX$ code for \(\csc\) is \csc .


cosec

$\cosec$

Cosecant.


The $\LaTeX$ code for \(\cosec\) is \cosec .


Cotangent

cot

$\cot$

Cotangent.


The $\LaTeX$ code for \(\cot\) is \cot .


ctn

$\operatorname {ctn}$

Cotangent.


The $\LaTeX$ code for \(\operatorname {ctn}\) is \operatorname {ctn} .


Hyperbolic Cosine

cosh

$\cosh$

Hyperbolic cosine.


Its $\LaTeX$ code is \cosh .


ch

$\operatorname {ch}$

Hyperbolic cosine.

A variant of $\cosh$.


Its $\LaTeX$ code is \operatorname {ch} .


Hyperbolic Cosecant

csch

$\csch$

Hyperbolic cosecant.


The $\LaTeX$ code for \(\csch\) is \csch .


cosech

$\operatorname {cosech}$

Hyperbolic cosecant.


The $\LaTeX$ code for \(\operatorname {cosech}\) is \operatorname {cosech} .


Hyperbolic Cotangent

$\coth$

Hyperbolic cotangent.


The $\LaTeX$ code for \(\coth\) is \coth .


Inverse Hyperbolic Cosine

cosh${}^{-1}$

$\cosh^{-1}$

Inverse hyperbolic cosine.


Its $\LaTeX$ code is \cosh^{-1} .


ch${}^{-1}$

$\operatorname {ch}^{-1}$

Inverse hyperbolic cosine.

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 .


Centimetre

$\mathrm {cm}$

The symbol for the centimetre is $\mathrm {cm}$:

$\mathrm c$ for centi
$\mathrm m$ for metre.


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 .


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