In this article, we consider the problem of homogenising the linear heat equation perturbed by a rapidly oscillating random potential. We consider the situation where the space-time scaling of the potential’s oscillations is not given by the diffusion scaling that leaves the heat equation invariant. Instead, we treat the case where spatial oscillations are much faster than temporal oscillations...

Typically, to study the effects of consecutive earthquakes, it is necessary to consider definite intensity levels of the first shock. Methods commonly used to define intensity involve scaling the first shock to a specified maximum interstorey drift. In this study the structure’s predefined elastic spectral acceleration caused by the first shock is also considered for scaling. This study aims to...

Political text scaling aims to linearly order parties and politicians across political dimensions (e.g., left-to-right ideology) based on textual content (e.g., politician speeches or party manifestos). Existing models scale texts based on relative word usage and cannot be used for cross-lingual analyses. Additionally, there is little quantitative evidence that the output of these models correl...

a 28-year-old male farmer presented with a chief complaint of itching and extreme dis-comfort on the entire maxillary and mandibular gingivae. he was diagnosed with gingival myiasis and scaling was performed on both jaws. however because of the multiple larvae, complete removal with simple curettage and scaling was not feasible, therefore flap sur-gery was performed on the maxilla. one week lat...

Universal scaling-laws of fluctuations (the ∆-scaling laws) have been derived for equilibrium systems, and shown to apply also in certain out-of-equilibrium situations. [1]. Recently looking for signals of a phase transition in multifragmentation reactions the model-independent theory of universal fluctuation has been used [2]. The ∆-scaling is observed when two or more probability distribution...

Arithmetic coding, in conjunction with a suitable probabilistic model, can provide nearly optimal data compression. In this article we analyze the effect that the model and the particular implementation of arithmetic coding have on the code length obtained. Periodic scaling is often used in arithmetic coding implementations to reduce time and storage requirements; it also introduces a recency e...

introduction: periodontitis is an inflammatory periodontal disease that leads to tooth loss. recently laser has been introduced as an alternative treatment for periodontitis. the aim of the present study was to compare the effect of erbium-doped yttrium aluminum garnet (er:yag) laser with ultrasonic scaler in patients with moderate chronic periodontitis. methods: in this randomized single-blind...