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			24 lines
		
	
	
		
			839 B
		
	
	
	
		
			HTML
		
	
	
	
	
	
			
		
		
	
	
			24 lines
		
	
	
		
			839 B
		
	
	
	
		
			HTML
		
	
	
	
	
	
| <html>
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| <head>
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| <title>f_1 : Sphere function</title>
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| </head>
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| <body>
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| <h1 align="center">The F1 hyper-parabola function</h1>
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| <center>
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| <img src="images/f1tex.jpg" width="85" height="95" border="0" align="center">
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| </center><br>
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| The hyper-parabola function is a <i>n</i>-dimensional, axis-symmetric, continuously differentiable, convex function:
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| <p>
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| Because of its simplicity every optimization-algorithm should be able to find its global minimum at <i>x</i>=[0, 0, ... , 0]
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| <p>
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| 
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| <img src="images/f1.jpg" width="480" height="360" border="2" align="middle">
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| 
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| <hr>
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| More information about the F1 function can be found at:
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| <p>
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| 
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| Kenneth De Jong. <i>An analysis of the behaviour of a class of genetic adaptive systems.</i> Dissertation, University of Michigan, 1975. Diss. Abstr. Int. 36(10), 5140B, University Microflims No. 76-9381.
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| 
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| </body>
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| </html>  |