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Let amn 20 for all m, n. The following statements are equivalent : 1. E amn Converges by rectangles. 2. E amn Converges by rows. 3. E amn Converges by columns. 4. E amn Converges by squares. 5. E amn converges by triangles Further E. a hasthe same sum under all the five modes of convergence.

Let amn 20 for all m, n. The following statements are equivalent : 1. E amn Converges by rectangles. 2. E amn Converges by rows. 3. E amn Converges by columns. 4. E amn Converges by squares. 5. E amn converges by triangles Further E. a hasthe same sum under all the five modes of convergence.

Advanced Engineering Mathematics
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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Proof 1 implies 2 ,not type solution please
Let amn 20 for all m, n. The following statements are equivalent : 1. E amn Converges by rectangles. 2. E amn converges by rows. 3. E amn Converges by columns. 4. E amn Converges by squares. 5. E amn Converges by triangles Further, E amn has the same sum under all the five modes of convergence.
Transcribed Image Text:Let amn 20 for all m, n. The following statements are equivalent : 1. E amn Converges by rectangles. 2. E amn converges by rows. 3. E amn Converges by columns. 4. E amn Converges by squares. 5. E amn Converges by triangles Further, E amn has the same sum under all the five modes of convergence.
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