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.

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 Counting Function

$\map d n$

Often seen as the symbol used to denote the Divisor Counting 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 .

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} .

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} .

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