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 ==== By Tamuraj (www.tamuraj.com) === 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 * Timeseries 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 === * Gödel’s theorem in a capitalist world * Loan systems * The monetary hyperspace * Capitalism and infinity * 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.1234437663.txt.gz Last modified: 2009-02-12 11:21by tamuraj
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