On Shortest Paths in Polyhedral Spaces
On Shortest Paths in Polyhedral Spaces
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In our eReader you can find the full English version of the book. Read On Shortest Paths in Polyhedral Spaces Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book On Shortest Paths in Polyhedral Spaces
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Passing to subsequences if necessary, we can assume that 4>„ converge to some (j>, and that the paths p(9„, Z„) converge to p{B, Z) and similarly the paths p(4>„^„) converge to p(4>, Z). Let ^'*, t)" be the two sequences of edges of K through which the two paths p{Q„^„) and p(^^, Z„) pass. Passing again to a subsequence if necessary, we can assume that the sequences ^" and t)" are both constant (necessarily distinct from one another). Two cases can arise: (i) If 9 ?^ 4> then by (a) the two dist...inct paths p(Q, Z) and p(yZ) are shortest paths to Z, so -23- that Z is a ridge point, and r(6) = Z, because p(6yZ) does not pass through a vertex of ^ or a ridge point (other than Z).
(ii) If 6 =
What to read after On Shortest Paths in Polyhedral Spaces?
You can find similar books in the "Read Also" column, or choose other free books by Micha Sharir to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Passing to subsequences if necessary, we can assume that 4>„ converge to some (j>, and that the paths p(9„, Z„) converge to p{B, Z) and similarly the paths p(4>„^„) converge to p(4>, Z). Let ^'*, t)" be the two sequences of edges of K through which the two paths p{Q„^„) and p(^^, Z„) pass. Passing again to a subsequence if necessary, we can assume that the sequences ^" and t)" are both constant (necessarily distinct from one another). Two cases can arise: (i) If 9 ?^ 4> then by (a) the two dist...inct paths p(Q, Z) and p(yZ) are shortest paths to Z, so -23- that Z is a ridge point, and r(6) = Z, because p(6yZ) does not pass through a vertex of ^ or a ridge point (other than Z).
(ii) If 6 =
What to read after On Shortest Paths in Polyhedral Spaces?
You can find similar books in the "Read Also" column, or choose other free books by Micha Sharir to read onlineMoreLess
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