Template generation for continuous transfer functions using interval analysis

Template generation for continuous transfer functions using interval analysis

This paper presents a template generation algorithm for transfer functions that are continuous in the uncertain system parameters. The algorithm is developed using interval mathematics. The generated templates are of arbitrary accuracy, safe, and reliable. Further, if the magnitude and phase are continuously di!erentiable functions of the parameters, then the algorithm can be speeded up conside...

analysis of ruin probability for insurance companies using markov chain

در این پایان نامه نشان داده ایم که چگونه می توان مدل ریسک بیمه ای اسپیرر اندرسون را به کمک زنجیره های مارکوف تعریف کرد. سپس به کمک روش های آنالیز ماتریسی احتمال برشکستگی ، میزان مازاد در هنگام برشکستگی و میزان کسری بودجه در زمان وقوع برشکستگی را محاسبه کرده ایم. هدف ما در این پایان نامه بسیار محاسباتی و کاربردی تر از روش های است که در گذشته برای محاسبه این احتمال ارائه شده است. در ابتدا ما نشا...

Maximization of Multivariable Functions Using Interval Analysis

Hausdorff Continuous Interval Functions and Approximations

The set of interval Hausdorff continuous functions constitutes the largest space preserving basic algebraic and topological structural properties of continuous functions, such as linearity, ring structure, Dedekind order completeness, etc. Spaces of interval functions have important applications not only in the construction of numerical methods and algorithms, but to problems in abstract areas ...

Transfer Functions for Imaging Spectroscopy Data using Principal Component Analysis

In this paper we present a new application of the principal component analysis (PCA) to generate multidimensional transfer functions. These transfer functions are needed in the volumetric visualization of spectral data to isolate regions that contain interesting peak-shaped features. Both large and small peaks can be equally important and represent the presence of different chemical elements in...