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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**Additional resources for A Theory of Distributed Objects**

**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.

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

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