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Venture capitalists, representing informed capital, screen, monitor and advise start-up entrepreneurs. The paper reports three new results on venture capital (VC) finance and the evolution of the VC industry. First, there is an optimal VC portfolio size with a trade-off between the number of companies and the value of managerial advice. Second, advice tends to be diluted when the industry expands and VC skills remain scarce in the short-run. The delayed entry of experienced VCs eventually restores the quality of advice and leads to more focused company Basket Nike Blazer Mid portfolios. Third, as a welfare result, VCs tend to provide too little advisory effort and to invest in too few companies. Testable implications are also discussed.

Let X be a metrizable space. It is proved that X has a topologically complete metrizable extension X̃ which has, among others, the following special properties: the dimension of each element of a given locally countable family G of closed subsets of X is equal to the dimension of its closure in X̃; each member of a given countable family {fi} of continuous mappings on X to a topologically complete metrizable space Y (to X) can be extended to a continuous mapping on X̃ to Y (to X̃). By examples it is shown that the conditions on and {fi} cannot be omitted.

The Blazer Noir continuum limit in (1 + 1)-dimensional QED is performed. It is demonstrated that a thorough treatment of all zero-mode operators leads to the identification of the θ-parameter as constant dielectric displacement on a restricted class of physical states. The dynamical background field provided by the dynamical zero mode of the gauge field component A1 is seen to contribute only to the constant background field in the continuum limit. The results of the continuum formulation Chaussure Nike Blazer are thus reproduced under well-defined limitations starting from a formulation on the circle.

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