Exploring Lazy Evaluation and Compile-Time Simplifications for Efficient Geometric Algebra Computations

Author(s):  
Leandro A. F. Fernandes
1984 ◽  
Vol 19 (6) ◽  
pp. 58-69 ◽  
Author(s):  
Thomas Johnsson
Keyword(s):  

Author(s):  
Souvik Bhattacherjee ◽  
Gang Liao ◽  
Michael Hicks ◽  
Daniel J. Abadi

2000 ◽  
Vol 35 (9) ◽  
pp. 162-173 ◽  
Author(s):  
Clem Baker-Finch ◽  
David J. King ◽  
Phil Trinder

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1259
Author(s):  
Francisco G. Montoya ◽  
Raúl Baños ◽  
Alfredo Alcayde ◽  
Francisco Manuel Arrabal-Campos ◽  
Javier Roldán Roldán Pérez

This paper presents a new framework based on geometric algebra (GA) to solve and analyse three-phase balanced electrical circuits under sinusoidal and non-sinusoidal conditions. The proposed approach is an exploratory application of the geometric algebra power theory (GAPoT) to multiple-phase systems. A definition of geometric apparent power for three-phase systems, that complies with the energy conservation principle, is also introduced. Power calculations are performed in a multi-dimensional Euclidean space where cross effects between voltage and current harmonics are taken into consideration. By using the proposed framework, the current can be easily geometrically decomposed into active- and non-active components for current compensation purposes. The paper includes detailed examples in which electrical circuits are solved and the results are analysed. This work is a first step towards a more advanced polyphase proposal that can be applied to systems under real operation conditions, where unbalance and asymmetry is considered.


IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 62610-62618 ◽  
Author(s):  
Zhang Youzheng ◽  
Mui Yanping

2017 ◽  
Vol 27 (3) ◽  
pp. 2115-2132 ◽  
Author(s):  
D. Hildenbrand ◽  
S. Franchini ◽  
A. Gentile ◽  
G. Vassallo ◽  
S. Vitabile
Keyword(s):  

2002 ◽  
Vol 12 (02) ◽  
pp. 211-228 ◽  
Author(s):  
MERCEDES HIDALGO-HERRERO ◽  
YOLANDA ORTEGA-MALLÉN

The functional parallel language Eden — suitable for the description of parallel and concurrent algorithms in a distributed setting — is an extension of Haskell with a set of coordination features. In this paper we present a formal operational semantics for the kernel of Eden, or more precisely, for a λ-calculus widened with explicit parallelism and potentially infinite communication channels. Eden overrides the lazy nature of Haskell on behalf of parallelism. This interplay between laziness and eagerness is accurately described by the semantics proposed here, which is based on Launchbury's natural semantics for lazy evaluation, and is expressed through a two-level transition system: a lower level for the local and independent evaluation of each process, and an upper one for the coordination between all the parallel processes in the system. As processes are created either under demand or in a speculative way, different scheduling strategies are possible — ranging from a minimal one that only allows the main thread to evolve, to a maximal one that evolves in parallel every active binding.


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