2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx for some non-zero t e R. Given a equivalence class [x] E S'/~, choose its representative x to be the largest (c) element of the equivalence class with respect to the dictionary order. Sketch a graph of all the representative points of all equivalence classes of S'/ ~.
2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx for some non-zero t e R. Given a equivalence class [x] E S'/~, choose its representative x to be the largest (c) element of the equivalence class with respect to the dictionary order. Sketch a graph of all the representative points of all equivalence classes of S'/ ~.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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