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 .
Permutation
- ${}_n P_r$, ${P_n}^r$, $p_{n r}$ or ${}^n P_r$
The number of $r$-permutations from a set of cardinality $n$ is denoted variously:
- ${}_n P_r$
- ${P_n}^r$
- $p_{n r}$
- ${}^n P_r$
There is little consistency in the literature.
On $\mathsf{Pr} \infty \mathsf{fWiki}$ the notation of choice is ${}^n P_r$.
The $\LaTeX$ code for \({}_n P_r\) is {}_n P_r .
The $\LaTeX$ code for \({P_n}^r\) is {P_n}^r .
The $\LaTeX$ code for \(p_{n r}\) is p_{n r} .
The $\LaTeX$ code for \({}^n P_r\) is {}^n P_r .
Pressure
- $p$ or $P$
The usual symbol used to denote the pressure on a body is $p$ or $P$.
The $\LaTeX$ code for \(p\) is p .
The $\LaTeX$ code for \(P\) is P .
Electric Polarization
- $P$
The usual symbol used to denote electric polarization is $P$.
Its $\LaTeX$ code 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 .
Legendre Polynomial
- $\map {P_n} x$
Consider the Legendre's differential equation:
- $(1): \quad \paren {1 - x^2} \dfrac {\d^2 y} {\d x^2} - 2 x \dfrac {\d y} {\d x} + n \paren {n + 1} y = 0$
for $n \in \N$.
The solutions to $(1)$ are called the Legendre polynomials of order $n$ and denoted $\map {P_n} x$.
The $\LaTeX$ code for \(\map {P_n} x\) is \map {P_n} x .
Associated Legendre Function
- $\map { {P_n}^m} x$
The associated Legendre functions are the real functions defined and denoted as:
- $\map { {P_n}^m} x = \paren {1 - x^2}^{m / 2} \dfrac {\d^m} {\d x^m} \map {P_n} x$
where $\map {P_n} x$ is the Legendre polynomial of order $n$.
The $\LaTeX$ code for \(\map { {P_n}^m} x\) is \map { {P_n}^m} x .
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:
$\quad \forall x \in \R: \map {p_X} x = \begin {cases} \map \Pr {\set {\omega \in \Omega: \map X \omega = x} } & : x \in \Omega_X \\ 0 & : x \notin \Omega_X \end {cases}$
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 .
Linear Momentum
- $\mathbf p$
The linear momentum of a particle is its mass multiplied by its velocity.
- $\mathbf p = m \mathbf v$
The usual symbol used to denote the linear momentum of a body is $\mathbf p$.
The $\LaTeX$ code for \(\mathbf p\) is \mathbf p .
Pascal
- $\mathrm {Pa}$
The symbol for the pascal is $\mathrm {Pa}$.
Its $\LaTeX$ code is \mathrm {Pa} .
Pascal Second
- $\mathrm {Pa \cdot s}$
The symbol for the pascal second is $\mathrm {Pa \cdot s}$.
Its $\LaTeX$ code is \mathrm {Pa \cdot s} .
Poundal
- $\mathrm {pdl}$
The symbol for the poundal is $\mathrm {pdl}$.
The $\LaTeX$ code for \(\mathrm {pdl}\) is \mathrm {pdl} .
Pound per Square Inch: Variant
- $\mathrm {psi}$ or $\mathrm {p.s.i.}$
The symbol for the pound per square inch can also be presented as $\mathrm {psi}$ or $\mathrm {p.s.i.}$
The $\LaTeX$ code for \(\mathrm {psi}\) is \mathrm {psi} .
The $\LaTeX$ code for \(\mathrm {p.s.i.}\) is \mathrm {p.s.i.} .
Poise
- $\mathrm P$
The symbol for the poise is $\mathrm P$.
Its $\LaTeX$ code is \mathrm P .
Poiseuille
- $\mathrm {Pl}$
The symbol for the poiseuille is $\mathrm {Pl}$.
Its $\LaTeX$ code is \mathrm {Pl} .
Standard Atmospheric Pressure
- $P_0$
The symbol for the standard atmospheric pressure is $P_0$.
The $\LaTeX$ code for \(P_0\) is P_0 .
Parsec
- $\mathrm {pc}$
The symbol for the parsec is $\mathrm {pc}$.
The $\LaTeX$ code for \(\mathrm {pc}\) is \mathrm {pc} .