On weakly arithmetic progressions
A set of real numbers a 1< a 2<…< a L is called a weakly arithmetic progression of length L, if there exist L consecutive intervals I i =[ x i−1 , x i ), i=1,…, L, of equal length with a i ∈ I i . Here we consider conditions from which the existence of weakly arithmetic progressions can (re...
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| Published in: | Discrete mathematics Vol. 138; no. 1; pp. 255 - 260 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier B.V
06-03-1995
|
| Online Access: | Get full text |
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| Summary: | A set of real numbers
a
1<
a
2<…<
a
L
is called a weakly arithmetic progression of length
L, if there exist
L consecutive intervals
I
i
=[
x
i−1
,
x
i
),
i=1,…,
L, of equal length with
a
i
∈
I
i
. Here we consider conditions from which the existence of weakly arithmetic progressions can (resp. cannot) be deduced of a given length. |
|---|---|
| ISSN: | 0012-365X 1872-681X |
| DOI: | 10.1016/0012-365X(94)00207-Y |