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### Is the Haversine Formula or the Vincenty's Formula better for calculating distance?

Which is better for calculating the distance between two latitude/longitude points, The Haversine Formula or The Vincenty's Formula? Why? The distance is obviously being calculated on Earth. Does ...
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Let $X$ be a nice space, maybe a manifold, and let $Y$ be a based space. What sort of conditions must we impose on $Y$ (and $X$ if need be) to get a homotopy equivalence $$\mathcal C_c(X,Y) \simeq \... 1answer 183 views ### cohomology of iterated loop space on spheres In the book The homology of iterated loop spaces, the homology Hopf algebra (1)$$ H_*(\Omega^n \Sigma^n X;\mathbb{Z}_p) $$for primes p\geq 2 is obtained on p. 226, Thm. 3.2. In particular, the ... 0answers 79 views ### cohomology ring of mapping spaces In the lecture notes The homology of \mathcal{C}_{n+1}–spaces, n ≥ 0. F. Cohen, 1978, page 228-231, the cohomology ring$$ H^*(\text{Map}_*(S^n, S^n\wedge X);\mathbb{Z}_p) $$is obtained for any ... 0answers 28 views ### How to rewrite this logarithmic update rule [closed] I tried to rewrite the equation given below. I get stuck getting rid of the  P(n|z_{1:t}) on the left side. How can this be done?$$ P(n|z_{1:t}) = \left[1+ \frac{1-P(n|z_{t})}{P(n|z_t)} \frac{1-P(...
Let $(X,A)$ and $(Y,B)$ be pairs of spaces and subspaces, let $\operatorname{Map}(X,Y)$ the space of maps $f:X\to Y$ equipped with the compact-open topology and let $\operatorname{Map}(X,A;Y,B)$ be ...