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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
@@ Line 1: / Line 1: @@
-====Maths and crisis ====
+====Mathematics and crisis ====
-By Tamuraj
+By Tamuraj (http://www.tamuraj.com)
 === Mathematical prerequisites ===
   * Algebraic prerequisites
-  * Real numbers, Complex numbers, Matrix algebra,...
+    * Real numbers, Complex numbers, Matrix algebra,...
   * Mathematical functions
   * Properties of mathematical functions
-  * Continuity
+    * Continuity
-  * Differentiability
+    * Differentiability
   * Mathematical equations
     * Linear equations
@@ Line 18: / Line 19: @@
     * Deduction systems
     * Meta logic
-    * Probability theory
+  * Probability theory
@@ Line 35: / Line 36: @@
 ===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
   * Gödel’s theorem
@@ Line 47: / Line 48: @@
 ===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
+  * The curse of assumptions
-Multilinear regression models
+    * Normality
-Polynomial regression models
+    * Linearity
-Hazard models
+    * Distributional assumptions
-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
+  * Introduction into biostatistics
-The outlier problem
+  * The outlier problem
-Rare events
+  * Rare events
-Recursive patterns
+  * Recursive patterns
-Linearization
+  * Linearization
-Risk modeling
+  * Risk modeling
-Maths and ecological policy
+  * Maths and ecological policy
 ===Mathematical models of economical systems ===
-Godel’s theorem in a capitalist world
+  * Gödel’s theorem in a capitalist world
-Loan systems
+    * Loan systems
-The monetary hyperspace
+    * The monetary hyperspace
-Capitalism and infity
+  * Capitalism and infinity
-Introduction into econometric modeling
+  * Introduction into econometric modeling
-Linearization
+  * Linearization
-Politics of complexity
+  * Politics of complexity