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A core Course on Modeling

A core Course on Modeling. Introduction to Modeling 0LAB0 0LBB0 0LCB0 0LDB0 c.w.a.m.v.overveld@tue.nl v.a.j.borghuis@tue.nl S.8. Properties : serve to distinguish and sometimes to order concepts. ordering level 1: nominal only to distinguish individuals.

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A core Course on Modeling

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  1. A core Course on Modeling Introductionto Modeling 0LAB0 0LBB0 0LCB0 0LDB0 c.w.a.m.v.overveld@tue.nl v.a.j.borghuis@tue.nl S.8

  2. Properties: serve todistinguish andsometimes toorder concepts

  3. ordering level 1: nominal onlytodistinguishindividuals http://commons.wikimedia.org/wiki/File:Stamp_collection.jpg • numbersmaybenominal: • telephonenumbers • lotterynumbers • social security numbers • ...

  4. ordering level 1: nominal onlytodistinguishindividuals QUIZ Numberscanoccur as nominallabels. Typically, numbers are usedfor ordering. Givean example of orderingwithoutnumbersinvolved. http://commons.wikimedia.org/wiki/File:Stamp_collection.jpg • numbersmaybenominal: • telephonenumbers • lotterynumbers • social security numbers • ...

  5. ordering level 2: ranking imposean order onto pairs of individuals http://commons.wikimedia.org/wiki/File:Commissioned_Officer_Rank_Structure_of_the_Bulgarian_Navy_-_sleeve_insignia.png partial order: order betweensome pairs total order: order betweenall pairs

  6. ordering level 2: ranking imposean order onto pairs of individuals QUIZ Numbers are totallyordered: foranytwo non-equalnumbers, one of the two is bigger. Whataboutintervals ([p,q])? Whataboutfractions (p/q, p and q are both integers)? Whatabout complex numbers? http://commons.wikimedia.org/wiki/File:Commissioned_Officer_Rank_Structure_of_the_Bulgarian_Navy_-_sleeve_insignia.png partial order: order betweensome pairs total order: order betweenall pairs

  7. ordering level 2: ranking imposean order onto pairs of individuals http://commons.wikimedia.org/wiki/File:Commissioned_Officer_Rank_Structure_of_the_Bulgarian_Navy_-_sleeve_insignia.png • physics: • Mohsscale (hardness of minerals) • socialsciences: • preferences

  8. ordering level 3: difference (or:Interval) scale differencebetweenvalues has meaning http://commons.wikimedia.org/wiki/File:Keyboard_of_grand_piano_-_Steinway_%26_Sons_(Hamburg_factory).jpg • physics: • heat transfer  temperaturedifference • potential energy • centigradescale (0C) • water height (river) • finance: •  growth • credit / debt

  9. ordering level 4: ratio scale ratio betweenvalues has meaning length: 1 : ½ : 1/3 frequency: 1 : 2 : 3 http://commons.wikimedia.org/wiki/File:Vibration_corde_fondamentale_trois_longueurs_petit.gif • physics: • heat transfer  temperaturedifference • potential energy • centigradescale (0C) • water height (river) • finance: •  growth • credit / debt • physics: • heat contents  absolute temperature (K) • kinetic energy • Kelvin scale (K) • water flow (m3/s) • finance: • % growth • assets

  10. operationrestrictions per ordering level:

  11. operationrestrictions per ordering level:

  12. operationrestrictions per ordering level:

  13. operationrestrictions per ordering level:

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