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Display information for equation id:math.223722.9 on revision:223722

* Page found: Torus (eq math.223722.9)

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Hash: eaa9eb66bea4bc558a2a7f92b0e61eed

TeX (original user input):

\pi_1(\mathbf{T}^2) = \pi_1(S^1) \times \pi_1(S^1) \cong \mathbf{Z} \times \mathbf{Z}.

TeX (checked):

\pi _{1}(\mathbf {T} ^{2})=\pi _{1}(S^{1})\times \pi _{1}(S^{1})\cong \mathbf {Z} \times \mathbf {Z} .

LaTeXML (experimental; uses MathML) rendering

MathML (7.203 KB / 1.173 KB) :

π 1 ( 𝐓 2 ) = π 1 ( S 1 ) × π 1 ( S 1 ) 𝐙 × 𝐙 . subscript π 1 superscript 𝐓 2 subscript π 1 superscript S 1 subscript π 1 superscript S 1 𝐙 𝐙 {\displaystyle\pi_{1}({\mathbf{T}}^{2})=\pi_{1}(S^{1})\times\pi_{1}(S^{1})% \cong{\mathbf{Z}}\times{\mathbf{Z}}.}
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SVG (9.582 KB / 3.056 KB) :

pi 1 times left-parenthesis bold upper T squared right-parenthesis equals pi 1 times left-parenthesis upper S Superscript 1 Baseline right-parenthesis times pi 1 times left-parenthesis upper S Superscript 1 Baseline right-parenthesis approximately-equals bold upper Z times bold upper Z period

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MathML (0 B / 8 B) :

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Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Cannot translate operation \times - Reason: An unknown or missing element occurred

Translation to Mathematica

In Mathematica:

Cannot translate operation \times - Reason: An unknown or missing element occurred

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