Examples of using Mathbb in English and their translations into Greek
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Computer
t↦ eit is a(surjective) morphism of topological groups from the real line ℝ to the unit circle S{\displaystyle\mathbb{S}} 1.
in an analogous object, the row finite matrices R F M I( R){\displaystyle\mathbb{RFM}_{I}(R)} whose rows each only have finitely many nonzero entries.
We say that f{\displaystyle f} belongs to C k( T){\displaystyle C^{k}(\mathbb{T})} if f{\displaystyle f} is a 2π-periodic function on R{\displaystyle\mathbb{R}} which is k{\displaystyle k} times differentiable, and its kth derivative is continuous.
the inclusion Z→Q{\displaystyle\mathbb{Z}\to\mathbb{Q}} is a ring epimorphism.
z\in\mathbb{R}} For example,
particularly convergence group methods Development of the theory of group actions on R{\displaystyle\mathbb{R}}-trees(particularly the Rips machine),
Q→ R{\displaystyle f:\mathbb{Q}\rightarrow\mathbb{R}} that can be approximated either from above
elements of Z/ n Z{\displaystyle\mathbb{Z}/n\mathbb{Z}} contains n{\displaystyle n}
R){\displaystyle SL(n,\mathbb{R})}, and of other Lie Groups,
Thus Z/ n Z{\displaystyle\mathbb{Z}/n\mathbb{Z}} is a field when n Z{\displaystyle n\mathbb{Z}}
it is more useful to include Z/ 0 Z{\displaystyle\mathbb{Z} /0\mathbb{Z}}(which,
is equinumerous with R.{\displaystyle\mathbb{ R}.}
also written N{\displaystyle\mathbb{N}}, and sometimes N 0{\displaystyle\mathbb{N}_{0}}
By definition, any c∈ C{\displaystyle c\in\mathbb{C}} can be uniquely expressed as a+ b i{\displaystyle a+bi} for some a,
and is denoted Z/ n Z{\displaystyle\mathbb{Z}/n\mathbb{Z}}, Z/ n{\displaystyle\mathbb{Z}/n},
on a domain in Euclidean space R n{\displaystyle\mathbb{R}^{n}}(e.g., on R 2{\displaystyle\mathbb{R}^{2}}
a specific Euclidean space, which is generally the real n-space R n,{\displaystyle\mathbb{R}^{n},} equipped with the dot product.
We use the notation Z/ n Z{\displaystyle\mathbb{Z}/n\mathbb{Z}} because this is the quotient ring of Z{\displaystyle\mathbb{Z}}
Let f:→ R n{\displaystyle f\colon\to\mathbb{R}^{n}} be a continuously differentiable function.
Is an extension field of the field of real numbers R,{\displaystyle\mathbb{R},}.