Symbols:P
pico-
- $\mathrm p$
The Système Internationale d'Unités symbol for the metric scaling prefix pico, denoting $10^{\, -12 }$, is $\mathrm { p }$.
Its $\LaTeX$ code is \mathrm {p} .
peta-
- $\mathrm P$
The Système Internationale d'Unités symbol for the metric scaling prefix peta, denoting $10^{\, 15 }$, is $\mathrm { P }$.
Its $\LaTeX$ code is \mathrm {P} .
Prime Number
- $p$
Used to denote a general prime number.
The $\LaTeX$ code for \(p\) is p .
Probability
- $p$
Used to denote a general probability.
As such, $p$ is a real number such that:
- $0 \le p \le 1$
The $\LaTeX$ code for \(p\) is p .
Proposition
- $p$ or $P$
Used to denote a general proposition in the context of propositional logic.
The $\LaTeX$ code for \(p\) is p .
The $\LaTeX$ code for \(P\) is P .
Pressure
- $p$ or $P$
Used in applied mathematics to denote pressure when used as an independent variable.
The $\LaTeX$ code for \(p\) is p .
The $\LaTeX$ code for \(P\) is P .
Polynomial Time Problem
- $P$
Used to denote a general polynomial time problem.
The $\LaTeX$ code for \(P\) is P .
Power Set
$\powerset S$ is the power set of the set $S$.
It is defined as:
- $\powerset S = \set {T: T \subseteq S}$
$\map {\mathfrak P} S$ is an alternative notation, but the fraktur font, of which $\mathfrak P$ is an example, is falling out of use, probably as a result of its difficulty in being both read and written.
The $\LaTeX$ code for \(\powerset S\) is \powerset S .
The $\LaTeX$ code for \(\map {\mathfrak P} S\) is \map {\mathfrak P} S .
Poisson Distribution
- $X \sim \Poisson \lambda$
or
- $X \sim \map {\mathrm {Pois} } \lambda$
$X$ has the Poisson distribution with parameter $\lambda$.
The $\LaTeX$ code for \(X \sim \Poisson \lambda\) is X \sim \Poisson \lambda .
The $\LaTeX$ code for \(X \sim \map {\mathrm {Pois} } \lambda\) is X \sim \map {\mathrm {Pois} } \lambda .
Probability Measure
- $\Pr$
Let $\EE$ be an experiment.
Let $\EE$ be defined as a measure space $\struct {\Omega, \Sigma, \Pr}$.
Then $\Pr$ is a measure on $\EE$ such that $\map \Pr \Omega = 1$.
The $\LaTeX$ code for \(\Pr\) is \Pr .
Probability Mass Function
- $\map {p_X} x$
Let $\struct {\Omega, \Sigma, \Pr}$ be a probability space.
Let $X: \Omega \to \R$ be a discrete random variable on $\struct {\Omega, \Sigma, \Pr}$.
Then the (probability) mass function of $X$ is the (real-valued) function $p_X: \R \to \closedint 0 1$ defined as:
- $\forall x \in \R: \map {p_X} x = \begin{cases} \map \Pr {\set {\omega \in \Omega: \map X \omega = x} } & : x \in \Omega_X \\ 0 & : x \notin \Omega_X \end{cases}$
where $\Omega_X$ is defined as $\Img X$, the image of $X$.
That is, $\map {p_X} x$ is the probability that the discrete random variable $X$ takes the value $x$.
The $\LaTeX$ code for \(\map {p_X} x\) is \map {p_X} x .
Power (Physics)
- $P$ or $p$
The usual symbols used to denote power are $P$ or $p$.
The $\LaTeX$ code for \(P\) is P .
The $\LaTeX$ code for \(p\) is p .
Pascal
- $\mathrm {Pa}$
The symbol for the pascal is $\mathrm {Pa}$.
Its $\LaTeX$ code is \mathrm {Pa} .