Symbols:D

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deci-

$\mathrm d$

The Système Internationale d'Unités symbol for the metric scaling prefix deci, denoting $10^{\, -1 }$, is $\mathrm { d }$.


Its $\LaTeX$ code is \mathrm {d} .


deka-

$\mathrm {da}$

The Système Internationale d'Unités symbol for the metric scaling prefix deka, denoting $10^{\, 1 }$, is $\mathrm { da }$.


Its $\LaTeX$ code is \mathrm {da} .


Hexadecimal

$\mathrm D$ or $\mathrm d$

The hexadecimal digit $13$.


Its $\LaTeX$ code is \mathrm D  or \mathrm d.


Roman Numeral

$\mathrm D$ or $\mathrm d$

The Roman numeral for $500$.


Its $\LaTeX$ code is \mathrm D  or \mathrm d.


Dimension

$\map \dim M$

The dimension of a unitary module $M$ is denoted on $\mathsf{Pr} \infty \mathsf{fWiki}$ as $\map \dim M$.


The $\LaTeX$ code for \(\map \dim M\) is \map \dim M .


Day

$\mathrm d$


The symbol for the day is $\mathrm {day}$ or $\mathrm d$.


The $\LaTeX$ code for \(\mathrm d\) is \mathrm d .


Differential

$\d$

Symbol used to indicate the differential of a function, used for example to denote the derivative:

$\dfrac \d {\d x} f$


The $\LaTeX$ code for \(\dfrac \d {\d x} f\) is \dfrac \d {\d x} f .


Partial Derivative

$\partial$

Symbol used to indicate the partial derivative of a function, used for example as follows:

$\dfrac \partial {\partial x} \map f {x, y}$


The $\LaTeX$ code for \(\dfrac \partial {\partial x} \map f {x, y}\) is \dfrac \partial {\partial x} \map f {x, y} .


Integral Domain

$D$

Used as a variable denoting the general integral domain.


Integral Domain as Algebraic Structure

$\struct {D, +, \circ}$

The full specification for an integral domain, where $+$ and $\circ$ are respectively the ring addition and ring product operations.


Its $\LaTeX$ code is \struct {D, +, \circ} .


Ordered Integral Domain

$\struct {D, +, \circ, \le}$

This specifies an ordered integral domain which is totally ordered by the ordering $\le$.


Its $\LaTeX$ code is \struct {D, +, \circ, \le} .


Non-Zero Elements of Integral Domain

$D^*$

Let $\struct {D, +, \circ}$ be an integral domain whose zero is $0_D$.


Then $D^*$ denotes the set $D \setminus \set {0_D}$.


Its $\LaTeX$ code is D^* .


Non-Negative Elements of Ordered Integral Domain

$D_+$

Let $\struct {D, +, \circ, \le}$ be an ordered integral domain whose zero is $0_D$.


Then $D_+$ denotes the set $\set {x \in D: 0_D \le x}$, that is, the set of all positive (that is, non-negative) elements of $D$.


Its $\LaTeX$ code is D_+ .


Positive Elements of Ordered Integral Domain

$D_+^*$

Let $\struct {D, +, \circ, \le}$ be an ordered integral domain whose zero is $0_D$.


Then $D_+^*$ denotes the set $\set {x \in D: 0_D < x}$, that is, the set of all strictly positive elements of $D$.


Some sources denote this as $D^+$, but this style of notation makes it difficult to distinguish between this and $D_+$.


Its $\LaTeX$ code is D_+^* .


Electric Displacement Field

$\mathbf D$

The electric displacement field is a vector quantity defined as the electric field strength multiplied by the permittivity of the medium through which it passes:

$\mathbf D = \varepsilon \mathbf E$

where:

$\varepsilon$ is the permittivity of the medium
$\mathbf E$ is the electric field strength


Its $\LaTeX$ code is \mathbf D .


Divisor Count Function

$\map d n$

Often seen as the symbol used to denote the Divisor Count Function.

This is usually denoted on $\mathsf{Pr} \infty \mathsf{fWiki}$ using the symbol as $\sigma_0$ (the Greek letter sigma).


The $\LaTeX$ code for \(\map d n\) is \map d n .


Derangements

$D_n$ or $d_n$

A derangement is a permutation $f: S \to S$ from a set $S$ to itself where:

$\forall s \in S: \map f s \ne s$

That is, a permutation with no fixed points.


If $S$ is finite, the number of derangements is denoted by $D_n$ or $d_n$, where $n = \card S$ (the cardinality of $S$.)


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

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


Determinant

$\det$

The determinant of a square matrix $\mathbf A$ can be denoted $\map \det {\mathbf A}$.


The $\LaTeX$ code for \(\map \det {\mathbf A}\) is \map \det {\mathbf A} .


Divergence Operator

$\operatorname {div}$

Let $R$ be a region of space embedded in a Cartesian coordinate frame.

Let $\mathbf V$ be a vector field acting over $R$.


The divergence of $\mathbf V$ at a point $A$ in $R$ is defined as:

\(\ds \operatorname {div} \mathbf V\) \(:=\) \(\ds \nabla \cdot \mathbf V\)
\(\ds \) \(=\) \(\ds \dfrac {\partial V_x} {\partial x} + \dfrac {\partial V_y} {\partial y} + \dfrac {\partial V_z} {\partial z}\)

where:

$\nabla$ denotes the Del operator
$\cdot$ denotes the dot product
$V_x$, $V_y$ and $V_z$ denote the magnitudes of the components of $\mathbf V$ at $A$ in the directions of the coordinate axes $x$, $y$ and $z$ respectively.


The $\LaTeX$ code for \(\operatorname {div} \mathbf V\) is \operatorname {div} \mathbf V .


Decimetre

$\mathrm {dm}$

The symbol for the decimetre is $\mathrm {dm}$:

$\mathrm d$ for deci
$\mathrm m$ for metre.


Its $\LaTeX$ code is \mathrm {dm} .


Dekametre

$\mathrm {dam}$

The symbol for the dekametre is $\mathrm {dam}$:

$\mathrm {da}$ for deka
$\mathrm m$ for metre.


Its $\LaTeX$ code is \mathrm {dam} .


Pennyweight

$\mathrm {dwt}$

The symbol for the pennyweight is $\text {dwt}$.

This derives from the Latin denarius, which evolved into the (old) penny.


Its $\LaTeX$ code is \mathrm {dwt} .


Dyne

$\mathrm {dyn}$

The symbol for the dyne is $\mathrm {dyn}$.


The $\LaTeX$ code for \(\mathrm {dyn}\) is \mathrm {dyn} .


Dyne-Centimetre

$\mathrm {dyn \, cm}$

The symbol for the dyne-centimetre is $\mathrm {dyn \, cm}$.


Its $\LaTeX$ code is \mathrm {dyn \, cm} .


Electric Flux Density

$\mathbf D$

The usual symbol used to denote electric flux density is $\mathbf D$.


Its $\LaTeX$ code is \mathbf D .


Dalton

$\mathrm {Da}$

The symbol for the dalton is $\mathrm {Da}$.


The $\LaTeX$ code for \(\mathrm {Da}\) is \mathrm {Da} .


Decibel

$\mathrm {dB}$


The decibel is a unit for comparing levels of power.


The symbol for the decibel is $\mathrm {dB}$.


The $\LaTeX$ code for \(\mathrm {dB}\) is \mathrm {dB} .


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