Bilinear Transformation Example 181084 | Lec27 Item Download 2023-01-30 18-22-02

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File: Bilinear Transformation Example 181084 | Lec27 Item Download 2023-01-30 18-22-02

advanced engineering mathematics prof p n agrawal department of mathematics indian institute of technology roorkee lecture 27 cross ratio hello friends welcome to my lecture on cross ratios of a ...

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...Advanced engineering mathematics prof p n agrawal department of indian institute technology roorkee lecture cross ratio hello friends welcome to my on ratios a bilinear transformation now suppose first we will discuss fixed points so let us say have mapping w fz then by point mean whose image under the function is same complex number refer slide time that are obtained from equation z hence in particular az b cz d given okay this can be written as square quadratic you see coefficients all vanish if and only identity s c gives means it when get equations case not because want ad bc nonzero take therefore following result linear sectional has utmost do fractional an more than or must t transformations corollary which agree at distinct extended plane easily prove szj tzj for j these inverse composition ot also zj equal similarly os similar manner maps previous theorem map true show o write sos but soi i they example find seen put them here whole again solve adding what add middle term canc...

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Posted on: 30 Jan 2023 | 3 years ago
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