Symbols:D
deci-
- $\mathrm d$
The Système Internationale d'Unités metric scaling prefix denoting $10^{\, -1 }$.
Its $\LaTeX$ code is \mathrm {d} .
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics: Entry: d (2)
deka-
- $\mathrm da$
The Système Internationale d'Unités metric scaling prefix denoting $10^{\, 1 }$.
Its $\LaTeX$ code is \mathrm {da} .
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics: Entry: da
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As a consequence, deka- has superseded it and now practically universal.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
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics: Entry: D (1)
Roman Numerals
- $\mathrm D$ or $\mathrm d$
The Roman numeral for $500$.
Its $\LaTeX$ code is \mathrm D or \mathrm d.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics: Entry: D (2)
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_+^* .
