Problem 9. Let X = {(-1,0), (1, 0), (0, 1)} CR³. Regard X as a metric space with the Euclidean distance. a. Compute the neighborhood graph N, (X) for each r = [0,00). b. Compute the Vietoris-Rips complex VR(X, r) for each r = [0,00).
Problem 9. Let X = {(-1,0), (1, 0), (0, 1)} CR³. Regard X as a metric space with the Euclidean distance. a. Compute the neighborhood graph N, (X) for each r = [0,00). b. Compute the Vietoris-Rips complex VR(X, r) for each r = [0,00).
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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![Problem 9. Let X = {(-1,0), (1, 0), (0, 1)} CR³. Regard X as a metric space
with the Euclidean distance.
a. Compute the neighborhood graph N, (X) for each r = [0, 00).
b. Compute the Vietoris-Rips complex VR(X, r) for each r = [0,00).
LYCEGLIFIC
lib ddiw axsiquoo Isisilmia
(00,0] 1 do 10) (1.3
(00.01 31569 101
qe intem as X busgo.
oittomoog eti rotol2 Snotamamib
د], [م. د). (د. b]) .
(.moldongdua does 101
(xolqmos laisilqenie texted](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e25041d-7573-46df-b9d3-ec2dd7694c16%2Fb7f73efa-b164-4a84-9256-e0217f331961%2Fqmny9ef_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 9. Let X = {(-1,0), (1, 0), (0, 1)} CR³. Regard X as a metric space
with the Euclidean distance.
a. Compute the neighborhood graph N, (X) for each r = [0, 00).
b. Compute the Vietoris-Rips complex VR(X, r) for each r = [0,00).
LYCEGLIFIC
lib ddiw axsiquoo Isisilmia
(00,0] 1 do 10) (1.3
(00.01 31569 101
qe intem as X busgo.
oittomoog eti rotol2 Snotamamib
د], [م. د). (د. b]) .
(.moldongdua does 101
(xolqmos laisilqenie texted
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