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Date: 2004-05-03 12:28:51 Mathematical analysis Gromov product Δ-hyperbolic space Hyperbolic space Constructible universe Metric space Hyperbolic group Differential geometry of surfaces Geometry Metric geometry Topological spaces		Add to Reading List Source URL: www.helsinki.fi Download Document from Source Website File Size: 272,00 KB Share Document on Facebook

	GENERAL LOGARITHMS AND HYPERBOLIC FUNCTIONS 5 minute review. Remind students • what loga x is for general a > 0 (where a 6= 1): that is, loga x is the power of a needed to make x, and that ln = loge ; • the definiti DocID: 1tGON - View Document
	FURTHER INTEGRATION 5 minute review. Remind students that hyperbolic R dxsubstitutions can Rsolvedxintegrals (x = sinh u), √x2 −1 (x = which trigonometric substitutions can’t, such as √1+x 2 DocID: 1tGp9 - View Document
	MAS140Formula Sheet These results may be quoted without proof unless proofs are asked for in the questions. Trigonometry Hyperbolic Functions DocID: 1tF6I - View Document
	FURTHER INTEGRATION 5 minute review. Remind students that hyperbolic R dxsubstitutions can Rsolvedxintegrals (x = sinh u), √x2 −1 (x = which trigonometric substitutions can’t, such as √1+x 2 DocID: 1tEKa - View Document
	arXiv:1007.0845v3 [math.KT] 15 MayOn the K- and L-theory of hyperbolic and virtually finitely generated abelian groups Wolfgang L¨ uck∗ DocID: 1r7KB - View Document