Wall Street Journal Bestseller A thought-provoking, accessible, and essential exploration of why some leaders (“Diminishers”) drain capability and intelligence from their teams, while others (“Multipliers”) amplify it to produce better results. Including a foreword by Stephen R. Covey, as well the five key disciplines that turn smart leaders into genius makers, Multipliers is a must-read for everyone from first-time managers to world leaders.
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The first part of this book offers a comprehensive overview of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The second part of the book explores several applications of this theory.
Design of analog multipliers discusses what an analog multiplier and its related types is, how different types of analog multipliers are implemented with analog two to one multiplexers and op-amps, and how the types of analog multipliers are implemented with transistors and op-amps. Describing forty-eight analog multiplier circuits, book explains six building blocks as integrator, comparator, switch, low pass filter, peak detector and sample & hold circuit. All analog multiplier circuits presented in this book use a maximum of four operational amplifiers which will enable the readers to simulate the multipliers with minimum number of components and use for their application at low cost.
This note provides background information for policymakers on fiscal multipliers, including quantitative estimates (see table at the end).
This paper investigates the relation between growth forecast errors and planned fiscal consolidation during the crisis. We find that, in advanced economies, stronger planned fiscal consolidation has been associated with lower growth than expected, with the relation being particularly strong, both statistically and economically, early in the crisis. A natural interpretation is that fiscal multipliers were substantially higher than implicitly assumed by forecasters. The weaker relation in more recent years may reflect in part learning by forecasters and in part smaller multipliers than in the early years of the crisis.
With fiscal adjustment proceeding quickly in Bulgaria and given the weak economic growth environment, there is keen interest in making the budget composition more growth friendly. This paper quantifies the short-term impact of fiscal policy on economic activity in Bulgaria using econometric and model-based approaches. While fiscal multipliers have been modest in the past, as can be expected in a small open emerging economy, the effect on output is not independent of the speed of adjustment and the specific consolidation measures used. The impact of fiscal policy on economic activity is larger in downturns than in expansions and capital spending and direct taxes are associated with the largest effects on output, while non-targeted government transfers and indirect taxes are associated with a smaller impact. The results suggest that increased capital spending financed by higher indirect tax revenue collections through base broadening has sizeable growth effects over the medium and long-term.
Fiscal multipliers are important tools for macroeconomic projections and policy design. In many countries, little is known about the size of multipliers, as data availability limits the scope for empirical research. For these countries, we propose a simple method—dubbed the “bucket approach”—to come up with reasonable multiplier estimates. The approach bunches countries into groups (or “buckets”) with similar multiplier values, based on their characteristics. It also takes into account the effect of some temporary factors, such as the state of the business cycle.
Fiscal multipliers are important tools for macroeconomic projections and policy design. In many countries, little is known about the size of multipliers, as data availability limits the scope for empirical research. This note provides general guidance on the definition, measurement, and use of fiscal multipliers. It reviews the literature related to their size, persistence and determinants. For countries where no reliable estimate is available, the note proposes a simple method to come up with reasonable values. Finally, the note presents options to incorporate multipliers in macroeconomic forecasts.
Many problems in operator theory lead to the consideration ofoperator equa tions, either directly or via some reformulation. More often than not, how ever, the underlying space is too 'small' to contain solutions of these equa tions and thus it has to be 'enlarged' in some way. The Berberian-Quigley enlargement of a Banach space, which allows one to convert approximate into genuine eigenvectors, serves as a classical example. In the theory of operator algebras, a C*-algebra A that turns out to be small in this sense tradition ally is enlarged to its (universal) enveloping von Neumann algebra A". This works well since von Neumann algebras are in many respects richer and, from the Banach space point of view, A" is nothing other than the second dual space of A. Among the numerous fruitful applications of this principle is the well-known Kadison-Sakai theorem ensuring that every derivation 8 on a C*-algebra A becomes inner in A", though 8 may not be inner in A. The transition from A to A" however is not an algebraic one (and cannot be since it is well known that the property of being a von Neumann algebra cannot be described purely algebraically). Hence, ifthe C*-algebra A is small in an algebraic sense, say simple, it may be inappropriate to move on to A". In such a situation, A is typically enlarged by its multiplier algebra M(A).