Show pageOld revisionsBacklinksBack to top You've loaded an old revision of the document! If you save it, you will create a new version with this data. Media Files ====== Maths and crisis ====== ===== Mathematical prerequisites ===== * Algebraic prerequisites * Real numbers, Complex numbers, Matrix algebra,... * Mathematical functions * Properties of mathematical functions * Continuity * Differentiability * Mathematical equations * Linear equations * Differential equations * The basic principles of mathematical logic * First order logic * Deduction systems * Meta logic * Probability theory Digital chaos Random processes: natural and digital random processes Brownian movements, the digital randomizer Infinity Different versions of infinity: Countable overcountible sets e.g. Cantor sets Self similarity Sierpinski triangle Chaos theory The linear fake model The artificial dream Introduction into Artificial Intelligence Short overview of history Definition and the Turing test Hilberts program Gödel’s theorem The artificial brain Emotive computing Quantum mechanics and Artificial Intelligence Mathematical modeling Basic principles of mathematical modeling Hypothesis testing Error manipulation Predictive modeling Linear modeling with example Outliers and instability Overview of different mathematical models Multilinear regression models Polynomial regression models Hazard models General linear models Times series analysis ... The curse of non linearity The curse of assumptions Normality Linearity Distributional assumptions Mathematical models of ecological systems Introduction into biostatistics The outlier problem Rare events Recursive patterns Linearization Risk modeling Maths and ecological policy Mathematical models of economical systems Godel’s theorem in a capitalist world Loan systems The monetary hyperspace Capitalism and infity Introduction into econometric modeling Linearization Politics of complexity Please fill all the letters into the box to prove you're human. Please keep this field empty: SavePreviewCancel Edit summary Note: By editing this page you agree to license your content under the following license: CC Attribution-Share Alike 4.0 International maths_and_crisis.1234349606.txt.gz Last modified: 2009-02-11 10:53by 81.188.78.24