In mathematics, the circle group, denoted by T {\displaystyle \mathbb {T} } or S 1 {\displaystyle S^{1}} , is the multiplicative group of all complex numbers with absolute value 1, that is, the unit circle in the complex plane or simply the unit complex numbers T = { z ∈ C : | z | = 1 } . {\displaystyle \mathbb {T} =\{z\in \mathbb {C} :|z|=1\}.} The circle group plays a fundamental role in many areas of mathematics.
In mathematics, the circle group, denoted by T {\displaystyle \mathbb {T} } or S 1 {\displaystyle S^{1}} , is the multiplicative group of all complex numbers with absolute value 1, that is, the unit circle in the complex plane or simply the unit complex numbers T = { z ∈ C : | z | = 1 } . {\displaystyle \mathbb {T} =\{z\in \mathbb {C} :|z|=1\}.} The circle group plays a fundamental role in many areas of mathematics.
Source: Wikipedia "Circle group" · CC BY-SA 4.0
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