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| maths_and_crisis [2009-02-11 11:02] – 81.188.78.24 | maths_and_crisis [2014-08-05 19:27] (current) – nik | ||
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| - | ====Maths and crisis ==== | + | ====Mathematics |
| - | By Tamuraj | + | |
| + | 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 | ||
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| * Deduction systems | * Deduction systems | ||
| * Meta logic | * Meta logic | ||
| - | | + | |
| Line 35: | Line 36: | ||
| ===The artificial dream=== | ===The artificial dream=== | ||
| - | * Introduction into Artificial Intelligence | + | * Introduction into [[Artificial Intelligence]] |
| - | * Short overview of history | + | * Short overview of history |
| - | * Definition and the Turing test | + | * Definition and the Turing test |
| * Hilberts program | * Hilberts program | ||
| * Gödel’s theorem | * Gödel’s theorem | ||
| Line 47: | Line 48: | ||
| ===Mathematical modeling=== | ===Mathematical modeling=== | ||
| - | Basic principles of mathematical modeling | + | * Basic principles of mathematical modeling |
| + | * Hypothesis testing | ||
| + | * Error manipulation | ||
| + | * Predictive modeling | ||
| + | * Linear modeling with example | ||
| + | * Outliers and instability | ||
| - | * Hypothesis testing | + | * Overview of different mathematical models |
| - | Error manipulation | + | * Multilinear regression models |
| - | Predictive modeling | + | * Polynomial regression models |
| - | Linear modeling with example | + | * Hazard models |
| - | Outliers and instability | + | * General linear models |
| + | * Timeseries analysis | ||
| + | * ... | ||
| - | + | * The curse of non linearity | |
| - | 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 | ===Mathematical models of ecological | ||
| - | Introduction into biostatistics | + | * Introduction into biostatistics |
| - | The outlier problem | + | |
| - | Rare events | + | |
| - | Recursive patterns | + | |
| - | Linearization | + | |
| - | Risk modeling | + | |
| - | Maths and ecological policy | + | |
| ===Mathematical models of economical systems === | ===Mathematical models of economical systems === | ||
| - | Godel’s theorem in a capitalist world | + | * Gödel’s theorem in a capitalist world |
| - | Loan systems | + | |
| - | The monetary hyperspace | + | |
| - | Capitalism and infity | + | |
| - | Introduction into econometric modeling | + | |
| - | Linearization | + | |
| - | Politics of complexity | + | |
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