Symbols:D

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deci-

$\mathrm d$

The Système Internationale d'Unités metric scaling prefix denoting $10^{\, -1 }$.


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

Sources


deka-

$\mathrm da$

The Système Internationale d'Unités metric scaling prefix denoting $10^{\, 1 }$.


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

Sources


Also known as

In some older sources it is possible to see this prefix as deca-, but this is easily confused with deci-.

As a consequence, deka- has superseded it and now practically universal.


Hexadecimal

$\mathrm D$ or $\mathrm d$

The hexadecimal digit $13$.


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


Sources


Roman Numerals

$\mathrm D$ or $\mathrm d$

The Roman numeral for $500$.


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


Sources


Integral Domains

$D$

Used as a variable denoting the general integral domain.


Integral Domain as an Algebraic Structure

$\left({D, +, \circ}\right)$

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


Its $\LaTeX$ code is \left({D, +, \circ}\right) .


Ordered Integral Domain

$\left({D, +, \circ, \le}\right)$

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

Its $\LaTeX$ code is \left({D, +, \circ, \le}\right) .


Non-Zero Elements of an Integral Domain

$D^*$

Let $\left({D, +, \circ}\right)$ be an integral domain whose zero is $0_D$.


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

Its $\LaTeX$ code is D^* .


Non-Negative Elements of an Ordered Integral Domain

$D_+$

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


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


Its $\LaTeX$ code is D_+ .


Positive Elements of an Ordered Integral Domain

$D_+^*$

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


Then $D_+^*$ denotes the set $\left\{{x \in D: 0_D < x}\right\}$, 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_+^* .