Keeping data safe in the presence of crashes is a fundamental problem storage systems. Although high-level ideas for crash consistency are relatively well understood, realizing them practice surprisingly complex and full challenges. The systems research community actively working on solving this challenge, papers examined here offer three solutions.

in [1] we uniquely introduced ultra exponential functions (uxpa) and denednext step of the serial binary operations: addition, multiplication and power.also, we exhibited the topic of limit summability of real functions in [2,3]. inthis paper, we study limit summability of the ultra exponential functions andprove some of their properties. finally, we pose an unsolved problem aboutthem.

in this paper we study two important concepts, i.e. the direct andthe inverse limit of hyperstructures associated with fuzzy sets of type 2, andshow that the direct and the inverse limit of hyperstructures associated withfuzzy sets of type 2 are also hyperstructures associated with fuzzy sets of type 2.

this paper considers the problem of stable limit cycles generating in a class of uncertain nonlinear systems which leads to stable oscillations in the system’s output.this is a wanted behavior in many practical engineering problems. for this purpose, first the equation of the desirable limit cycle is achieved according to shape, amplitude and frequency of the required output oscillations. then,...

Constraint satisfaction consistency preprocessing methods are used to reduce search e ort Time and especially space costs limit the amount of preprocess ing that will be cost e ective A new form of con sistency preprocessing neighborhood inverse consis tency can achieve more problem pruning than the usual arc consistency preprocessing in a cost e ective manner There are two basic ideas Common f...