Sökning: "determinant method"
Visar resultat 1 - 5 av 76 avhandlingar innehållade orden determinant method.
1. Algorithms in data mining using matrix and tensor methods
Sammanfattning : In many fields of science, engineering, and economics large amounts of data are stored and there is a need to analyze these data in order to extract information for various purposes. Data mining is a general concept involving different tools for performing this kind of analysis. LÄS MER
2. Counting solutions to Diophantine equations
Sammanfattning : This thesis presents various results concerning the density of rational and integral points on algebraic varieties. These results are proven with methods from analytic number theory as well as algebraic geometry. LÄS MER
3. Counting rational points on genus one curves
Sammanfattning : This thesis contains two papers dealing with counting problems for curves of genus one. We obtain uniform upper bounds for the number of rational points of bounded height on such curves. The main tools to study these problems are descent and various refined versions of Heath-Brown’s p-adic determinant method. LÄS MER
4. Lung mechanics in the aging lung and in acute lung injury. Studies based on sinusoidal flow modulation
Sammanfattning : Knowledge about lung mechanics is of interest in intensive care to adjust mechanical ventilation and in the lung laboratory for diagnostics and evaluation of patients with various kinds of respiratory diseases. In mechanical ventilation a single inspiratory elastic pressure-volume (Pel/V) curve is difficult to interpret due to continuing re-expansion of collapsed lung units over a large pressure interval. LÄS MER
5. A new method q-calculus
Sammanfattning : In q-calculus we are looking for q-analogues of mathematical objects, which have the original object as limits when q tends to 1. q-Calculus has wide-ranging applications in analytic number theory and theoretical physics. The main topic of the thesis is the invention of the tilde operator and the renaissance of the q-addition. LÄS MER