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maths_and_crisis [2009-02-11 10:53] – created 81.188.78.24 | maths_and_crisis [2009-02-11 11:15] – 81.188.78.24 | ||
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- | ====== Maths and crisis | + | ====Maths and crisis ==== |
- | + | By Tamuraj | |
- | ===== Mathematical prerequisites ===== | + | |
+ | === Mathematical prerequisites === | ||
* Algebraic prerequisites | * Algebraic prerequisites | ||
- | | + | |
* Mathematical functions | * Mathematical functions | ||
* Properties of mathematical functions | * Properties of mathematical functions | ||
- | | + | |
- | * Differentiability | + | * Differentiability |
* Mathematical equations | * Mathematical equations | ||
* Linear equations | * Linear equations | ||
Line 18: | Line 18: | ||
* Deduction systems | * Deduction systems | ||
* Meta logic | * Meta logic | ||
- | | + | |
- | Digital chaos | + | ===Digital chaos === |
- | Random processes: natural and digital random processes | + | * 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 | ||
- | Infinity | + | ===The artificial dream=== |
- | Different versions | + | * Introduction into [[Artificial Intelligence]] |
- | Countable overcountible sets e.g. Cantor sets | + | * Short overview |
- | Self similarity | + | * Definition and the Turing test |
- | Sierpinski triangle | + | * Hilberts program |
- | Chaos theory | + | * Gödel’s theorem |
- | The linear fake model | + | |
+ | * Emotive computing | ||
+ | * Quantum mechanics and Artificial Intelligence | ||
- | The artificial dream | + | ===Mathematical modeling=== |
- | Introduction into Artificial Intelligence | + | * Basic principles of mathematical modeling |
- | 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 | + | |
- | 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 | + | |
- | + | ||
- | + | ||
+ | * 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 | ||
+ | * 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 | ||
+ |