Examples of using Mathbb in English and their translations into Portuguese
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A set S⊆ N{\displaystyle S\subseteq\mathbb{N}} is called hypersimple if it is simple
The residue class an is the group coset of a in the quotient group Z/ n Z{\displaystyle\mathbb{Z}/n\mathbb{Z}}, a cyclic group.
The ring Z p{\displaystyle\mathbb{Z}_{p}} of p-adic integers is a DVR, for any prime p{\displaystyle p.
A set S⊆ N{\displaystyle S\subseteq\mathbb{N}} is called effectively simple if it is recursively enumerable
Γ× H→ C{\displaystyle\ nu:\Gamma\times\mathbb{H}\to\mathbb{C}} satisfying the four properties given below.
Other examples of intervals are the set of all real numbers R{\displaystyle\mathbb{R}}, the set of all negative real numbers, and the empty set.
let n∈ N{\displaystyle n\in\mathbb{N.
which takes inverses in the field that may not exist in Z n{\displaystyle\mathbb{Z}_{n.
which is the real line R{\displaystyle\mathbb{R}} under the half-open interval topology.
Also it is sufficient to assume P is a polynomial over Q{\displaystyle\mathbb{Q}} and multiply P by the appropriate denominators to yield integer coefficients.
For every n≥ 1{\displaystyle n\geq 1} the free abelian group Z n{\displaystyle\mathbb{Z}^{n}} is not co-Hopfian.
N→ N∖{ 0}{\displaystyle\ dim:N\rightarrow\mathbb{N}\setminus\{0\.
A subset X⊆ N n{\displaystyle X\subseteq\mathbb{N}^{n}} is definable in Büchi arithmetic of base k if
Let f: R→ R{\displaystyle f:{\mathbb{R}}\to{\mathbb{R}}} be a piecewise continuously differentiable unction which is periodic with some period L> 0{\displaystyle L>0.
Z{\displaystyle{\mathbb{Z}}\left} being his first example.
A function f:⊆ N k→ N{\displaystyle f:\subseteq\mathbb{N}^{k}\to\mathbb{N}} is called arithmetically definable if the graph of f{\displaystyle f}
nonarithmetical set is the set T of Gödel numbers of formulas of Peano arithmetic that are true in the standard natural numbers N{\displaystyle\mathbb{N.
to R{\displaystyle\mathbb{R.
The set of states Q are given by the complex projective space C P n{\displaystyle\mathbb{C} P^{n}},
Dirichlet characters are certain arithmetic functions which arise from completely multiplicative characters on the units of Z/ k Z{\displaystyle\mathbb{Z}/k\mathbb{Z.