Numerical methods for computing the discrete and continuous Laplace transforms

We propose a numerical method to spline-interpolate discrete signals and then apply the integral transforms to the corresponding analytical spline functions. This represents a robust and computationally efficient technique for estimating the Laplace transform for noisy data. We revisited a Meijer-G symbolic approach to compute the Laplace transform and alternative approaches to extend canonical observed time-series. A discrete quantization scheme provides the foundation for rapid and reliable estimation of the inverse Laplace transform. We derive theoretic estimates for the inverse Laplace transform of analytic functions and demonstrate empirical results validating the algorithmic performance using observed and simulated data. We also introduce a generalization of the Laplace transform in higher dimensional space-time. We tested the discrete LT algorithm on data sampled from analytic functions with known exact Laplace transforms. The validation of the discrete ILT involves using complex functions with known analytic ILTs

Case report: Neuronal intranuclear inclusion disease presenting with acute encephalopathy

Neuronal intranuclear inclusion disease (NIID), a neurodegenerative disease previously thought to be rare, is increasingly recognized despite heterogeneous clinical presentations. NIID is pathologically characterized by ubiquitin and p-62 positive intranuclear eosinophilic inclusions that affect multiple organ systems, including the brain, skin, and other tissues. Although the diagnosis of NIID is challenging due to phenotypic heterogeneity, a greater understanding of the clinical and imaging presentations can improve accurate and early diagnosis. Here, we present three cases of pathologically proven adult-onset NIID, all presenting with episodes of acute encephalopathy with protracted workups and lengthy time between symptom onset and diagnosis. Case 1 highlights challenges in the diagnosis of NIID when MRI does not reveal classic abnormalities and provides a striking example of hyperperfusion in the setting of acute encephalopathy, as well as unique pathology with neuronal central chromatolysis, which has not been previously described. Case 2 highlights the progression of MRI findings associated with multiple NIID-related encephalopathic episodes over an extended time period, as well as the utility of skin biopsy for antemortem diagnosis

Creating an online quick-reference of neuropsychiatric drugs featuring a randomized quiz generator.

This project's main goals include 1) establishing a searchable online reference of common neuropsychiatric medications with a knowledge base at the level of 3rd-year medical students and 2) establishing a randomized interactive review system in the form of flashcards and quizzes. A minor goal was to ensure flexibility and modularity in the design so that additions or changes to the database can be easily and rapidly effected. Finally, personal goals include learning and first-hand experience in dynamic website design using the PHP language and MySQL database management

Creating an online quick-reference of neuropsychiatric drugs featuring a randomized quiz generator.

This project's main goals include 1) establishing a searchable online reference of common neuropsychiatric medications with a knowledge base at the level of 3rd-year medical students and 2) establishing a randomized interactive review system in the form of flashcards and quizzes. A minor goal was to ensure flexibility and modularity in the design so that additions or changes to the database can be easily and rapidly effected. Finally, personal goals include learning and first-hand experience in dynamic website design using the PHP language and MySQL database management

An energy detector in UWB receiver

This dissertation provides a comprehensive overview of fundamental CMOS technology and RF communication systems. It explores the fundamental components of a non-coherent RF receiver in detail. Additionally, it delves into the circuit structures of an energy-detector and presents analysis of its functionality. Moreover, the dissertation presents the design of a sub-threshold squarer and showcases simulation results demonstrating its effectiveness in performing basic squaring operations on input UWB signals ranging from 3 to 5 GHz.Master of Science (Electronics

Development Status and Prospects of Clean and Efficient Coal-fired Power Technology in China

National Development and Reform Commission, National Energy Administration printed Energy Production and Consumption Revolution Strategy (2016~2030), planned clean and efficient production and utilization of coal industry from three aspects: centralized use of coal, promotion of clean coal utilization, and promotion of green coal production. For the coal-fired power industry, promoting clean coal utilization has become the most important target task for the current and future period. This paper analyzes China’s energy development status in terms of China’s energy, power development and power energy structure. Based on the existing application of China’s clean and efficient coal-fired power technology, we investigated the resource efficiency and environmental benefits of clean and high-efficiency coal-fired power generation, and offered suggestions for the upgrading of China’s energy system at a lower cost

An Efficient Composite Modifier Prepared for Enhancing the Crystallization and Flame-Retardancy of Poly(m-xylylene adipamide)

Poly(m-xylylene adipamide) (MXD6) has good gas barrier properties and high mechanical strength. However, in nature, this resin has a low rate of crystallization. In order to overcome this obstacle in its applications, this study prepares a new, efficient modifier for MXD6 by combining the synthesized DOPO derivative (DT) and P22. It is found that the use of the binary modifier exhibits obvious effects on the crystallization of MXD6. When 11.0 wt.% DT is added together with 0.1 wt.% P22 (DT/P22), the crystallization temperature of MXD6 shifts to a higher temperature of 19.7 °C, and the crystallinity degree of MXD6 is significantly increased by 60%. Meanwhile, this modifier exhibits obviously intumescent flame-retardancy on MXD6 by increasing the limited oxygen index (LOI) from 26.4% to 33.4%. The results of the cone calorimeter test (CCT) reveal that the peak heat release rate (PHRR), total heat release (THR) and average effective heat release (av-EHC) are obviously suppressed due to the use of this modifier. Moreover, the influences of this modifier on the crystal structures, mechanical and rheological properties of MXD6 are analyzed in detail. This study can provide an efficient modifier for MXD6