Symbols:D
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 $\mathrm {dm}$:
Its $\LaTeX$ code is \mathrm {dm}
.
Dekametre
- $\mathrm {dam}$
The symbol for the dekametre is $\mathrm {dam}$:
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}
.