23 sample documents related to MATH 2112

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  Circles

  UCF MATH 2112
  

  What shape is a circle? Complex Systems Summer School, Santa Fe Institute Tom Carter http:/astarte.csustan.edu/~ tom/SFI-CSSS June 24, 2006 1 How do we define a circle? We usually define a circle as C = cfw_x | |x| = 1 (i.e., the set of all vectors x of l
   
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  Clustering

  UCF MATH 2112
  

  Clustering in Networks (Spectral Clustering with the Graph Laplacian . . . a brief introduction) Tom Carter Computer Science CSU Stanislaus http:/csustan.csustan.edu/~ tom/Clustering March 2, 2011 1 Our general topics: What is Clustering? 3 An Example 8 S
   
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  computation

  UCF MATH 2112
  

  Introduction to theory of computation Tom Carter http:/astarte.csustan.edu/~ tom/SFI-CSSS Complex Systems Summer School June, 2005 1 Our general topics: Symbols, strings and languages Finite automata Regular expressions and languages Markov models Contex
   
• 
  diff-manifolds

  UCF MATH 2112
  

  A very brief introduction to differentiable manifolds Tom Carter http:/cogs.csustan.edu/~ tom/diff-manifolds Santa Fe Institute Complex Systems Summer School June, 2001 1 Our general topics: Why differentiable manifolds Topological spaces (ex) Examples o
   
• 
  diff-manifolds2

  UCF MATH 2112
  

  A very brief introduction to differentiable manifolds Tom Carter http:/cogs.csustan.edu/~ tom/diff-manifolds Santa Fe Institute Complex Systems Summer School June, 2001 1 Our general topics: Why differentiable manifolds 3 Topological spaces 4 Examples of
   
• 
  econ101

  UCF MATH 2112
  

  Entropy, Power Laws, and Economics Tom Carter Complex Systems Summer School SFI, 2007 http:/astarte.csustan.edu/~ tom/ Santa Fe June, 2007 1 Contents Mathematics of Information Some entropy theory A Maximum Entropy Principle Application: Economics I Fit t
   
• 
  Econ102

  UCF MATH 2112
  

  Econ 102 (Random walks and high nance) Tom Carter http:/astarte.csustan.edu/ tom/SFI-CSSS Fall, 2008 1 Our general topics: Financial Modeling Some random (variable) background What is a random walk? Some Intuitive Derivations 2 Financial Modeling Lets u
   
• 
  Fisher-Price

  UCF MATH 2112
  

  The Logistic Flow (continuous) Tom Carter Complex Systems Summer School June, 2009 1 Discrete logistic map We all know that the discrete logistic map Pn+1 = rPn (1 - Pn ) exhibits interesting behavior of various sorts for various values of the parameter r
   
• 
  Fractal-dimension

  UCF MATH 2112
  

  Some Fractals and Fractal Dimensions The Cantor set: we take a line segment, and remove the middle third. For each remaining piece, we again remove the middle third, and continue indefinitely. To calculate the fractal / Hausdorff / capacity / box-counti
   
• 
  Fractal-Dimension

  UCF MATH 2112
  

  Some Fractals and Fractal Dimensions The Cantor set: we take a line segment, and remove the middle third. For each remaining piece, we again remove the middle third, and continue indefinitely. To calculate the fractal / Hausdorff / capacity / box-counting
   
• 
  general-rel-1a

  UCF MATH 2112
  

   
   
• 
  geo3a

  UCF MATH 2112
  

  planet epicycle cycle retrograde
   
• 
  info-lec

  UCF MATH 2112
  

  An introduction to information theory and entropy Tom Carter http:/astarte.csustan.edu/~ tom/SFI-CSSS Complex Systems Summer School Santa Fe June, 2007 1 Contents Measuring complexity Some probability ideas Basics of information theory Some entropy theory
   
• 
  info-lec-4a

  UCF MATH 2112
  

   
   
• 
  Interdisciplinary

  UCF MATH 2112
  

  What is Interdisciplinary? Discipline (and punish? :-) Physics Chemistry Biology Mathematics Economics Psychology Etc. Or . . . Physics Chemistry Biology Social Sciences Etc. q Or . . . Mathematics Real World But is this really . . . Mathematics Real Worl
   
• 
  Koch-dim

  UCF MATH 2112
  

  Some Fractals and Fractal Dimensions The Cantor set: we take a line segment, and remove the middle third. For each remaining piece, we again remove the middle third, and continue indefinitely. To calculate the fractal / Hausdorff / capacity / box-counti
   
• 
  lin-alg

  UCF MATH 2112
  

  A brief survey of linear algebra Tom Carter http:/astarte.csustan.edu/~ tom/linear-algebra Santa Fe Institute Complex Systems Summer School June, 2001 1 Our general topics: Why linear algebra Vector spaces (ex) Examples of vector spaces (ex) Subspaces (e
   
• 
  Logistic-continuous

  UCF MATH 2112
  

  The Logistic Flow (Continuous) Tom Carter http:/astarte.csustan.edu/ tom/SFI-CSSS Complex Systems Summer School June, 2008 1 Logistic ow . . . We all know that the discrete logistic map Pn+1 = rPn(1 Pn) exhibits interesting behavior of various sorts for v
   
• 
  making-sense

  UCF MATH 2112
  

  Making Sense Tom Carter http:/astarte.csustan.edu/~ tom/SFI-CSSS April 2, 2009 1 Making Sense Introduction / theme / structure 3 Language and meaning Language and meaning (ex) . . . . . . . . . . . . . . . 6 7 Theories, models and simulation Theories, mod
   
• 
  Nonlinear-Systems

  UCF MATH 2112
  

  Nonlinear Systems (. . . and chaos) a brief introduction Tom Carter Computer Science CSU Stanislaus http:/csustan.csustan.edu/~ tom/Lecture-Notes/Nonlinear-Systems/Nonlinear-Systems.pdf November 7, 2011 1 Our general topics: What are nonlinear systems? A
   
• 
  Perspective-cmp

  UCF MATH 2112
  

  Perspective Complex Systems Summer School June, 2006
   
• 
  prob-models

  UCF MATH 2112
  

  A Little Probability . . Coding and Information Theory Fall, 2004 Tom Carter http:/astarte.csustan.edu/~ tom/ October, 2004 1 Some probability background There are two notions of the probability of an event happening. The two general notions are: 1. A fr
   
• 
  qc-article-2001

  UCF MATH 2112
  

  A brief overview of quantum computing or, Can we compute faster in a multiverse? Tom Carter http:/cogs.csustan.edu/~ tom/quantum . . . . June, 2001 1 Our general topics: Hilbert space and quantum mechanics Tensor products Quantum bits (qubits) Entangled