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The construction of a basis of a certain lattice of interest is a basic tool in many fields of algorithmic number theory. All too often we can not compute with the original lattices because of irrational numbers involved but have to work with approximations of them. While helpful bounds were shown about the reduction of lattice bases in cite{buchmann94reducing}, here we introduce the notion of a $(epsilon,delta)$-constructable basis of a lattice and determine the precision of vectors that is necessary to extend a set to a $(epsilon,delta)$-constructable basis.
The German banking system and the global financial crisis: causes, developments and policy responses
(2009)
Germany’s banking sector has been severely hit by the global financial crisis. In a German context as of February, 2009, this paper reviews briefly the structure of the banking industry, quantifies effects of the crisis on banks and surveys responses of economic policy. It is argued that policy design needs to enhance transparency and enforce the liability principle. In addition, economic policy should not eclipse principles of competition policy.