Microprocessors System Design

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By Denis Caromel, Ludovic Henrio, Luca Cardelli

ISBN-10: 3540208666

ISBN-13: 9783540208662

Deals an in depth evaluation of concurrent languages and calculi, with entire figures and summaries. provides and analyses many implementation concepts that may with ease be utilized by builders of allotted platforms.

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Example text

In this chapter, polyhedra are restricted to being in the n-dimensional rational Cartesian space, represented by the symbol Qn . All matrices, vectors, and scalars are thus assumed to be rational unless otherwise specified. Given a vector x and a scalar coefficient vector ␭, the following different combinations are defined: A linear combination 1 A positive combination 1 Also ␭i xi ␭i xi where all ␭i ≥ 0 called nonnegative or conic combination. 28 Energy-Aware Memory Management for EMSs An affine combination A convex combination ␭i xi where ␭i xi where ␭i = 1 ␭i = 1 and all ␭i ≥ 0.

9 (Redundancy) Inequalities that don’t satisfy Prop. a or Prop. a are redundant. Vertices/rays that don’t satisfy Prop. b or Prop. b are redundant. 8 {x, y | 1 ≤ x ≤ 3; 2 ≤ y ≤ 4} vertex(1,2) vertex(1,4) vertex(3,2) vertex(3,4) x>=1 sat sat x<=3 sat sat y>=2 sat y<=4 y 4✻ r r 3 sat 2 sat 1 sat r r 1 x ✲ 3 2 36 Energy-Aware Memory Management for EMSs The dimension of the ray space is 2. Every constraint saturates two vertices and every vertex saturates two inequalities. This is a perfectly nonredundant system.

The solution to this problem is to use a multi-precision arithmetic package in which numeric storage grows to meet demand. The second problem is a memory overflow problem. Given a d-dimensional d polyhedron with n constraints, as many as n 2 vertices might be required in the dual representation in the worse case. This effectively limits computation to small dimensional polyhedra in the worst case. This also makes it difficult to statically allocate a fixed amount of work space to perform a computation.

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A Theory of Distributed Objects by Denis Caromel, Ludovic Henrio, Luca Cardelli

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