|  | 41. | This creates a triangle with endpoints at the two fixed points and the mobile. 
 
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|  | 42. | This condition implies that the fixed points are isolated. 
 
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|  | 43. | That is why the complaint, a fixed point, matters. 
 
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|  | 44. | Some congruences have fixed points and others do not. 
 
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|  | 45. | In other words, it is an attractive fixed point. 
 
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|  | 46. | A contraction mapping has at most one fixed point. 
 
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|  | 47. | These are the fixed points of the Kaprekar mapping. 
 
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|  | 48. | In general, revision sequences will not reach fixed points. 
 
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|  | 49. | Such a behavior is called an infrared fixed point. 
 
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|  | 50. | The stability of this fixed point is of significance. 
 
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