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picture1_Bilinear Transformation Example 178388 | Handout Bilinear


picture2_Bilinear Transformation Example 178388 | Handout Bilinear picture3_Bilinear Transformation Example 178388 | Handout Bilinear

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File: Bilinear Transformation Example 178388 | Handout Bilinear
MAB241 COMPLEX VARIABLES BILINEAR MAPPING 1 The transformation Atransformation T(z) : z → w is called bilinear if it takes the form w=T(z)= az+b. (1) cz +d You should have ...

icon picture PDF Filetype PDF | Posted on 29 Jan 2023 | 2 years ago

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...Mab complex variables bilinear mapping the transformation atransformation t z w is called if it takes form az b cz d you should have already had practice with nding a from point mappings in this handout we will cover image of set under here consider how to nd given s which may be either circle or straight line an important property maps that both always map so by recognising two images produces can use right calculations equation aswith any useful sketch out planes one for and drawing on domain help prevent simple mistakes algebra every has exactly singularity at mapped innity c are contains singular know doesn contain then onto example i r solution im wecandrawthis argand diagram plot label does not lie its must now try manipulate function into start substituting re there many ways split real imaginary parts u v iv multiplying numerator denominator conjugate ti wecan solve case substitute rearranging gives solved wecannowsubstitute back do hence therefore found unit centred origin sam...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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										Category:  Uncategorized / Uncategorized 
										
Posted on: 29 Jan 2023 | 2 years ago
										
										
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Filetype: PDF
										
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												Wan learn