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Affine representations in psychophysics and the near miss to weber’s law

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Affine representations in psychophysics and the near-miss to Weber’s law Hsu, Y. F., Iverson, G. J., & Doble, C. W. (2010) Journal of Mathematical Psychology , 54 , 256-265
Near-miss to Weber’s law ,[object Object],[object Object],[object Object]
Main goal ,[object Object],[object Object],[object Object],[object Object],[object Object]
Outline ,[object Object],[object Object],[object Object]
Section 2 near-miss to Weber’s law and the balance condition
Definition ,[object Object],[object Object],[object Object]
Definition 1 ,[object Object],[object Object],[object Object]
Near-miss to Weber’s law ,[object Object],[object Object],[object Object],[object Object],[object Object]
Near-miss to Weber’s law ,[object Object],[object Object],[object Object],[object Object]
Falmagne’s power law ,[object Object],[object Object],[object Object],[object Object],[object Object]
Falmagne’s power law ,[object Object],[object Object],[object Object],[object Object]
Falmagne’s power law ,[object Object],[object Object],[object Object],[object Object]
Balance condition ,[object Object],[object Object]
Definition 2 ,[object Object]
Section 3 a generalization of the subtractive representation.  affine representation
Standard Fechnerian representation ,[object Object]
Falmagne (1982) generalization ,[object Object],[object Object],[object Object]
Definition 3: Generalized affine representation ,[object Object],[object Object],[object Object]
Properties ,[object Object],[object Object]
Theorem 4 ,[object Object],[object Object],[object Object]
Gain-control representations ,[object Object],[object Object]
Gain-control representations ,[object Object],[object Object],[object Object]
Gain-control representations ,[object Object],[object Object]
Gain-control representations ,[object Object]
Other example of affine representations ,[object Object],[object Object]
[object Object]
[object Object],[object Object]
 
Theorem 5 ,[object Object]

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Affine representations in psychophysics and the near miss to weber’s law

  • 1. Affine representations in psychophysics and the near-miss to Weber’s law Hsu, Y. F., Iverson, G. J., & Doble, C. W. (2010) Journal of Mathematical Psychology , 54 , 256-265
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  • 5. Section 2 near-miss to Weber’s law and the balance condition
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  • 15. Section 3 a generalization of the subtractive representation.  affine representation
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