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Time is point rotation in a circle Instead, you can save this post to reference later. There are 2 other circles and 2 other point rotations around those circles that are all mutually perpendicular to each other, therefore separate dimensions.

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First, assume the unit circle parameter is time in seconds What's reputation and how do i get it The essential idea is that in order for a radius of length 1 to move 1 arc length in 1 second it is required to have a velocity of 1, acceleration of 1, jolt of 1, etc.

Maybe a quite easy question

Why is $s^1$ the unit circle and $s^2$ is the unit sphere Also why is $s^1\\times s^1$ a torus It does not seem that they have anything. Since the circumference of the unit circle happens to be $ (2\pi)$, and since (in analytical geometry or trigonometry) this translates to $ (360^\circ)$, students new to calculus are taught about radians, which is a very confusing and ambiguous term.

So the answer is that the möbius transformations sending the unit circle to itself are precisely the möbius transformations sending the unit disc to itself, and their multiplicative inverses. Show that unit circle is not homeomorphic to the real line ask question asked 7 years, 5 months ago modified 6 years, 1 month ago I do understand that the unit circle has a radius of 1 and sides of triangles made within it must pertain to the pythagorean theorem (hence these values with radicals, for accuracy), but that is all i understand How would one know to put exactly $\frac {\sqrt 3} {2}$ for the sine of $\frac {\pi} {3}$ radians

This is unclear to me.

Eigenvalues within unit circle ask question asked 9 years, 6 months ago modified 7 years, 4 months ago You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful