Symbols:E
Identity Element
- $e$
Denotes the identity element in a general algebraic structure.
If $e$ is the identity of the structure $\struct {S, \circ}$, then a subscript is often used: $e_S$.
This is particularly common when more than one structure is under discussion.
The $\LaTeX$ code for \(e_S\) is e_S .
Euler's Number
- $e$
Euler's number $e$ is the base of the natural logarithm $\ln$.
$e$ is defined to be the unique real number such that the value of the (real) exponential function $e^x$ has the same value as the slope of the tangent line to the graph of the function.
The $\LaTeX$ code for \(e\) is e .
Eccentricity
- $e$
Used to denote the eccentricity of a conic section.
The $\LaTeX$ code for \(e\) is e .
exa-
- $\mathrm E$
The Système Internationale d'Unités symbol for the metric scaling prefix exa, denoting $10^{\, 18 }$, is $\mathrm { E }$.
Its $\LaTeX$ code is \mathrm {E} .
Hexadecimal
- $\mathrm E$ or $\mathrm e$
The hexadecimal digit $14$.
Its $\LaTeX$ code is \mathrm E or \mathrm e.
Duodecimal
- $\mathrm E$
The duodecimal digit $11$.
Its $\LaTeX$ code is \mathrm E .
Set
- $E$
Used by some authors to denote a general set.
The $\LaTeX$ code for \(E\) is E .
Complete Elliptic Integral of the Second Kind
- $\map E k$
- $\ds \map E k = \int \limits_0^{\pi / 2} \sqrt {1 - k^2 \sin^2 \phi} \rd \phi$
is the complete elliptic integral of the second kind, and is a function of $k$, defined on the interval $0 < k < 1$.
The $\LaTeX$ code for \(\map E k\) is \map E k .
Experiment
- $\mathcal E$
An experiment, which can conveniently be denoted $\EE$, is a probability space $\struct {\Omega, \Sigma, \Pr}$.
The $\LaTeX$ code for \(\mathcal E\) is \mathcal E or \EE.
Expectation
- $\expect X$
Let $\struct {\Omega, \Sigma, \Pr}$ be a probability space.
Let $X$ be a real-valued discrete random variable on $\struct {\Omega, \Sigma, \Pr}$.
The expectation of $X$, written $\expect X$, is defined as:
- $\expect X := \ds \sum_{x \mathop \in \image X} x \map \Pr {X = x}$
whenever the sum is absolutely convergent, that is, when:
- $\ds \sum_{x \mathop \in \image X} \size {x \map \Pr {X = x} } < \infty$
The $\LaTeX$ code for \(\expect X\) is \expect X .
Conditional Expectation
- $\expect {X \mid B}$
Let $\struct {\Omega, \Sigma, \Pr}$ be a probability space.
Let $X$ be a discrete random variable on $\struct {\Omega, \Sigma, \Pr}$.
Let $B$ be an event in $\struct {\Omega, \Sigma, \Pr}$ such that $\map \Pr B > 0$.
The conditional expectation of $X$ given $B$ is written $\expect {X \mid B}$ and defined as:
- $\expect {X \mid B} = \ds \sum_{x \mathop \in \image X} x \condprob {X = x} B$
where:
- $\condprob {X = x} B$ denotes the conditional probability that $X = x$ given $B$
whenever this sum converges absolutely.
The $\LaTeX$ code for \(\expect {X \mid B}\) is \expect {X \mid B} .
East
- $\mathrm E$
East (Terrestrial)
East is the direction on (or near) Earth's surface along the small circle in the direction of Earth's rotation in space about its axis.
East (Celestial)
The $\LaTeX$ code for \(\mathrm E\) is \mathrm E .
Energy
- $E$
The usual symbol used to denote the energy of a body is $E$.
Its $\LaTeX$ code is E .
Electric Field Strength
- $\mathbf E$
The usual symbol used to denote electric field strength is $\mathbf E$.
Its $\LaTeX$ code is \mathbf E .
Electromotive Force
- $\EE$
The usual symbol used to denote electromotive force is $\EE$.
Its $\LaTeX$ code is \EE .
Elementary Charge
- $\E$
The symbol used to denote the elementary charge is usually $\E$ or $e$.
The preferred symbol on $\mathsf{Pr} \infty \mathsf{fWiki}$ is $\E$.
Its $\LaTeX$ code is \E .