| 31. | It is an isometry, since evaluating along reproduces the definition of the distance given for the hyperboloid model.
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| 32. | Recounting lectures of Weierstrass, he there introduced the hyperboloid model described by " Weierstrass coordinates ".
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| 33. | The TDOA of a pulse between one side site and the central site locates the target on a hyperboloid.
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| 34. | In simple terms, with two receivers at known locations, an emitter can be located onto a hyperboloid.
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| 35. | Antoni Gaudi and Shukhov carried out experiments with hyperboloid structures practically simultaneously, but independently, in 1880 1895.
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| 36. | According to Jeremy Gray ( 1986 ), Poincar?used the hyperboloid model in his personal notes in 1880.
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| 37. | The Poincar?disk model, as well as the Klein model, are related to the hyperboloid model projectively.
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| 38. | If all eigenvalues of A are non-zero, then the solution set is an ellipsoid or a hyperboloid.
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| 39. | Some special cases of hyperboloids ( of either one or two sheets ) and elliptic paraboloids are surfaces of revolution.
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| 40. | It is often known as the " cooling tower " due to its resemblance to the hyperboloid-shaped structures.
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