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 Noncommutative probability II: independence
 Noncommutative probability I: motivations and examples
 A simple proof of the GaussBonnet theorem for geodesic ball
 Least squares in a nonordinary sense
 Archimedes’ principle for hyperbolic plane
 Archimedes and the area of sphere
 Zeros of random polynomials
 Hopf fibration double covers circle bundle of sphere
 Euler’s formula e^ix = cos x + i sin x: a geometric approach
 An inequality for functions on the plane
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 Taylor expansion of metric
 Surjectivity of Gauss map and its degree
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 The power mean inequality and some related topics
 Fourier coefficients as eigenvalues/spectrum
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