Bürgi's "Kunstweg" - geometric approach
Placing regular 4n-sided polygons correctly, equations between sine and sums of sines show up -- exactly these equations are used in Bürgi's method to approximate sines.
math.HO↗
arXiv subjects
Publications and source records attributed to Christian Riedweg.
Placing regular 4n-sided polygons correctly, equations between sine and sums of sines show up -- exactly these equations are used in Bürgi's method to approximate sines.
We compare the homology groups $H_n ^{IC}(X)$ of the chain complex of integral currents with compact support of a metric space $X$ with the singular Lipschitz homology $H^L_n (X)$ and with ordinary singular homology. If $X$ satisfies certain cone inequalities all these homology theories coincide. On the other hand, for the Hawaiian Earring the homology of integral currents differs from the singular Lipschitz homology and it differs also from the classical singular homology $H_n(X)$.