Symbols:T

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Time

$t$

The usual symbol used to denote time is $t$.

The $\LaTeX$ code for \(t\) is t .

Independent Parameter

$t$

Often used to denote the independent parameter in a set of parametric equations.

The $\LaTeX$ code for \(t\) is t .

Hour Angle

$t$

Used to denote the hour angle of a point on the celestial sphere.

Let $P$ be a point on the celestial sphere.

The hour angle of $P$ is the angular distance measured westwards along the celestial equator from the vernal equinox.

That is, it is the angular distance measured westwards along the celestial equator between the observer's meridian and the hour circle of $P$.

The $\LaTeX$ code for \(t\) is t .

tera-

$\mathrm T$

The Système Internationale d'Unités symbol for the metric scaling prefix tera, denoting $10^{\, 12 }$, is $\mathrm { T }$.

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

Duodecimal

$\mathrm T$

The duodecimal digit $10$.

Its $\LaTeX$ code is \mathrm T .

Set

$T$

Used to denote a general set, often in conjunction with $S$ when two such sets are under discussion.

The $\LaTeX$ code for \(T\) is T .

tan

$\tan$

The tangent function.

Its $\LaTeX$ code is \tan .

tanh

$\tanh$

The hyperbolic tangent function.

Its $\LaTeX$ code is \tanh .

Inverse Tangent

$\tan^{-1}$

Inverse Tangent.

Its $\LaTeX$ code is \tan^{-1} .

Inverse Hyperbolic Tangent

tanh${}^{-1}$

$\tanh^{-1}$

Inverse hyperbolic Tangent.

Its $\LaTeX$ code is \tanh^{-1} .

th${}^{-1}$

$\operatorname {th}^{-1}$

Inverse hyperbolic tangent.

A variant of $\tanh^{-1}$.

Its $\LaTeX$ code is \operatorname {th}^{-1} .

Kinetic Energy

$T$

The symbol used to denote kinetic energy is often $T$.

Its $\LaTeX$ code is T .

Period of Oscillation

$T$

The symbol used to denote period of oscillation is often $T$.

Its $\LaTeX$ code is T .

Tesla

$\mathrm T$

The symbol for the tesla is $\mathrm T$.

Its $\LaTeX$ code is \mathrm T .

True

$\T$

Symbol generally used for truth.

A statement has a truth value of true if and only if what it says matches the way that things are.

The $\LaTeX$ code for \(\T\) is \T .

Algebraic Substructure

$T$

Used to denote a general algebraic substructure of the algebraic structure $S$, in particular a subsemigroup.

In this context, frequently seen in the compound symbol $\struct {T, \circ}$ where $\circ$ represents an arbitrary binary operation.

The $\LaTeX$ code for \(\struct {T, \circ}\) is \struct {T, \circ} .

Topological Space

$T = \struct {S, \tau}$

Frequently used, and conventionally in many texts, to denote a general topological space.

The $\LaTeX$ code for \(T\) is T .

Binary Operation

$\intercal$

Used in 1975: T.S. Blyth: Set Theory and Abstract Algebra to denote an arbitrary binary operation in a general algebraic structure.

It is given the name truc, pronounced trook, French for trick or technique.

Blyth himself suggests that truc could be translated as thingummyjig, but this is linguistically unsupported, and is probably idiosyncratic.

The $\LaTeX$ code for \(\intercal\) is \intercal .

Tychonoff Separation Axioms

$T_0$, $T_1$, $T_2$, $T_{2 \frac 1 2}$, and so on

Symbol used for Tychonoff Separation Axioms.

The Tychonoff separation axioms are a classification system for topological spaces.

They are not axiomatic as such, but they are conditions that may or may not apply to general or specific topological spaces.

The $\LaTeX$ code for \(T_0\) is T_0 .

The $\LaTeX$ code for \(T_{2 \frac 1 2}\) is T_{2 \frac 1 2} .

Student's $t$-Distribution

$\StudentT k$

Symbol used for Student's $t$-Distribution.

Student's $t$-distribution is the probability distribution of a random variable which is proportional to the ratio of:

a standard normal distribution

and:

the square root of a $\chi$-squared variable with $k$ degrees of freedom.

Let $S = \set {x_1, x_2, \ldots, x_n}$ be a sample of size $n$ from a normal distribution with expectation $\mu$.

The statistic:

$t := \dfrac {\overline x - \mu} {s / \sqrt n}$

where:

$\overline x$ is the mean of $S$

$s^2 := \ds \sum_{i \mathop = 1}^n \dfrac {\paren {x_i - \overline x}^2} {n - 1}$

has a Student's $t$-distribution with $n - 1$ degrees of freedom.

This is written:

$X \sim \StudentT k$

The $\LaTeX$ code for \(X \sim \StudentT k\) is X \sim \StudentT k .

Transpose of Matrix

$\mathbf A^\intercal$

Symbol used for Transpose of Matrix.

Let $\mathbf A = \sqbrk \alpha_{m n}$ be an $m \times n$ matrix over a set.

Then the transpose of $\mathbf A$ is denoted $\mathbf A^\intercal$ and is defined as:

$\mathbf A^\intercal = \sqbrk \beta_{n m}: \forall i \in \closedint 1 n, j \in \closedint 1 m: \beta_{i j} = \alpha_{j i}$

The $\LaTeX$ code for \(\mathbf A^\intercal\) is \mathbf A^\intercal .

Tonne

$\mathrm t$

The symbol for the tonne is $\mathrm t$.

The $\LaTeX$ code for \(\mathrm t\) is \mathrm t .

Ton Force

$\mathrm {tonf}$

The symbol for the ton force is $\mathrm {tonf}$.

The $\LaTeX$ code for \(\mathrm {tonf}\) is \mathrm {tonf} .

Ton per Square Inch

$\mathrm {tonf / in^2}$

The symbol for the ton per square inch is $\mathrm {tonf / in^2}$.

The $\LaTeX$ code for \(\mathrm {tonf / in^2}\) is \mathrm {tonf / in^2} .

Ton-Foot

$\mathrm {tonf \cdot ft}$

The symbol for the ton-foot is $\mathrm {tonf \cdot ft}$.

Its $\LaTeX$ code is \mathrm {tonf \cdot ft} .

Ton-Foot: Variant

$\mathrm {tonf \, ft}$

The symbol for the ton-foot can also be presented as $\mathrm {tonf \, ft}$.

Its $\LaTeX$ code is \mathrm {tonf \, ft} .

Torr

$\mathrm {Torr}$

The symbol for the torr is $\mathrm {Torr}$.

The $\LaTeX$ code for \(\mathrm {Torr}\) is \mathrm {Torr} .

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