| Title:
|
$0\text{-}1$ sequences having the same numbers of $(1\text{-}1)$-couples of given distances (English) |
| Author:
|
Lešanovský, Antonín |
| Author:
|
Rataj, Jan |
| Author:
|
Hojek, Stanislav |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
271-282 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $a$ be a $0-1$ sequence with a finite number of terms equal to 1. The distance sequence $\delta^{(a)}$ of $a$ is defined as a sequence of the numbers of $(1-1)$-couples of given distances. The paper investigates such pairs of $0-1$ sequences $a,b$ that a is different from $b$ and $\delta^{(a)}=\delta^{(b)}$. (English) |
| Keyword:
|
uniform distribution |
| Keyword:
|
set covariance |
| Keyword:
|
$0\text{-}1$ sequence |
| Keyword:
|
distance sequence |
| MSC:
|
11B05 |
| MSC:
|
11B83 |
| MSC:
|
11K31 |
| idZBL:
|
Zbl 0762.11008 |
| idMR:
|
MR1184540 |
| DOI:
|
10.21136/MB.1992.126288 |
| . |
| Date available:
|
2009-09-24T20:53:30Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126288 |
| . |
| Reference:
|
[1] A. Lešanovský, J. Rataj: Determination of compact sets in Euclidean spaces by the volume of their dilation.Proc. DIANA III, Bechyně, Czechoslovakia, June 4-8, 1990, Mathematical Institute of the ČSAV, Praha, 1990, pp. 165-177. |
| Reference:
|
[2] W. Nagel: The uniqueness of a planar convex polygon when its set covariance is given.Forschungsergebnisse N/89/17, Friedrich-Schiller-Universität, Jena, 1989. |
| Reference:
|
[3] R. Pyke: Problems corner.The IMS Bulletin 18 no. 3 (1989), 347. |
| Reference:
|
[4] R. Pyke: Problems corner.The IMS Bulletin 18 no. 4 (1989), 387. |
| Reference:
|
[5] J. Serra: Image Analysis and Mathematical Morphology.Academic Press, London, 1982. Zbl 0565.92001, MR 0753649 |
| . |
