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maths_and_crisis [2009-02-11 10:54] – 81.188.78.24maths_and_crisis [2014-08-05 19:27] (current) – nik
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-====== Maths and crisis ====== +====Mathematics and crisis ====
-By Tamuraj +
  
-===== Mathematical prerequisites =====+By Tamuraj (http://www.tamuraj.com)
  
 +=== Mathematical prerequisites ===
  
   * Algebraic prerequisites   * Algebraic prerequisites
-  * Real numbers, Complex numbers, Matrix algebra,...+    * Real numbers, Complex numbers, Matrix algebra,...
   * Mathematical functions   * Mathematical functions
   * Properties of mathematical functions   * Properties of mathematical functions
-  * Continuity +    * Continuity 
-  * Differentiability+    * Differentiability
   * Mathematical equations   * Mathematical equations
     * Linear equations     * Linear equations
Line 19: Line 19:
     * Deduction systems     * Deduction systems
     * Meta logic     * Meta logic
-    * Probability theory+  * Probability theory
  
  
-Digital chaos
+===Digital chaos
===
  
-Random processes: natural and digital random processes +  * Random processes: natural and digital random processes 
-Brownian movements, the digital randomizer+    * 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 of infinity:  +  * Introduction into [[Artificial Intelligence]] 
-Countable overcountible sets e.g. Cantor sets +    * Short overview of history 
-Self similarity +    * Definition and the Turing test 
-Sierpinski triangle +  * Hilberts program 
-Chaos theory +  * Gödel’s theorem 
-The linear fake model+  * The artificial brain 
 +  * 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 +    * Hypothesis testing 
-Definition and the Turing test +    * Error manipulation 
-Hilberts program +  * Predictive modeling 
-Gödel’s theorem +    * Linear modeling with example 
-The artificial brain +    * Outliers and instability
-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 +
- +
-
 +
  
 +  * 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
 +


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