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== Terminology ==
 
== Terminology ==
  
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| ''solution''
 
| ''solution''
| The term solution is used in optimization. One solution ('''x''','''f''','''g''') consists of a vector of design variables '''x''', the evaluated objective(s) '''f'''('''x''') and constraint(s) '''g'''('''x''')'''.  
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| The term solution is used in optimization. One solution ('''x''','''f''','''g''','''a''') consists of a vector of design variables '''x''', the evaluated objective(s) '''f'''('''x'''), constraint(s) '''g'''('''x''')''', and optionally of additional values '''a'''.
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|-
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| ''design variables''
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| The vector of design variables '''x''' may consist of real numbers (continuous variables), integers (discrete variables) or both (mixed variables).  
 
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Version vom 21. Oktober 2015, 19:55 Uhr

Notation

As a math parser is currently not used, we write the math equations as formated text:

  • Scalars are written as small italic letters, e.g. f
  • Vectors are written as small bold letters, e.g. x.
  • Matrices are written in capital bold letters, e.g. C.

Symbols

f, f objective function(s)
x, x design variable(s)
g, g constraint(s)

Terminology

solution The term solution is used in optimization. One solution (x,f,g,a) consists of a vector of design variables x, the evaluated objective(s) f(x), constraint(s) g(x), and optionally of additional values a.
design variables The vector of design variables x may consist of real numbers (continuous variables), integers (discrete variables) or both (mixed variables).