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ON ASYMPTOTIC DENSITY IN N-DIMENSIONS
被引:2
作者
:
FREEDMAN, AR
论文数:
0
引用数:
0
h-index:
0
机构:
Simon Fraser University, Oregon State University
FREEDMAN, AR
机构
:
[1]
Simon Fraser University, Oregon State University
来源
:
PACIFIC JOURNAL OF MATHEMATICS
|
1969年
/ 29卷
/ 01期
关键词
:
D O I
:
10.2140/pjm.1969.29.95
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
The notion of asymptotic density for sets of nonnegative integers is generalizedto sets of n-dimensional ‘nonnegative‘ lattice points. The additive properties of sets relative to this density are discussed. Some of the results are extended to the infinite dimensional case. Finally, natural density is defined and discussed. © 1969 by Pacific Journal of Mathematics.
引用
收藏
页码:95 / +
页数:1
相关论文
共 7 条
[1]
THE MEASURE THEORETIC APPROACH TO DENSITY
[J].
BUCK, RC
论文数:
0
引用数:
0
h-index:
0
BUCK, RC
.
AMERICAN JOURNAL OF MATHEMATICS,
1946,
68
(04)
:560
-580
[2]
GENERALIZED ASYMPTOTIC DENSITY
[J].
BUCK, RC
论文数:
0
引用数:
0
h-index:
0
BUCK, RC
.
AMERICAN JOURNAL OF MATHEMATICS,
1953,
75
(02)
:335
-346
[3]
Christopher J., 1956, AM MATH MON, V63, P399
[4]
AN INEQUALITY FOR DENSITY OF SUM OF SETS OF VECTORS IN N-DIMENSIONAL SPACE
[J].
FREEDMAN, AR
论文数:
0
引用数:
0
h-index:
0
FREEDMAN, AR
.
PACIFIC JOURNAL OF MATHEMATICS,
1966,
19
(02)
:265
-&
[5]
FREEDMAN AR, IN PRESS
[6]
AN INEQUALITY FOR NUMBER OF ELEMENTS IN A SUM OF 2 SETS OF LATTICE POINTS
[J].
KVARDA, B
论文数:
0
引用数:
0
h-index:
0
KVARDA, B
.
PACIFIC JOURNAL OF MATHEMATICS,
1965,
15
(02)
:545
-&
[7]
ON DENSITIES OF SETS OF LATTICE POINTS
[J].
KVARDA, B
论文数:
0
引用数:
0
h-index:
0
KVARDA, B
.
PACIFIC JOURNAL OF MATHEMATICS,
1963,
13
(02)
:611
-&
←
1
→
共 7 条
[1]
THE MEASURE THEORETIC APPROACH TO DENSITY
[J].
BUCK, RC
论文数:
0
引用数:
0
h-index:
0
BUCK, RC
.
AMERICAN JOURNAL OF MATHEMATICS,
1946,
68
(04)
:560
-580
[2]
GENERALIZED ASYMPTOTIC DENSITY
[J].
BUCK, RC
论文数:
0
引用数:
0
h-index:
0
BUCK, RC
.
AMERICAN JOURNAL OF MATHEMATICS,
1953,
75
(02)
:335
-346
[3]
Christopher J., 1956, AM MATH MON, V63, P399
[4]
AN INEQUALITY FOR DENSITY OF SUM OF SETS OF VECTORS IN N-DIMENSIONAL SPACE
[J].
FREEDMAN, AR
论文数:
0
引用数:
0
h-index:
0
FREEDMAN, AR
.
PACIFIC JOURNAL OF MATHEMATICS,
1966,
19
(02)
:265
-&
[5]
FREEDMAN AR, IN PRESS
[6]
AN INEQUALITY FOR NUMBER OF ELEMENTS IN A SUM OF 2 SETS OF LATTICE POINTS
[J].
KVARDA, B
论文数:
0
引用数:
0
h-index:
0
KVARDA, B
.
PACIFIC JOURNAL OF MATHEMATICS,
1965,
15
(02)
:545
-&
[7]
ON DENSITIES OF SETS OF LATTICE POINTS
[J].
KVARDA, B
论文数:
0
引用数:
0
h-index:
0
KVARDA, B
.
PACIFIC JOURNAL OF MATHEMATICS,
1963,
13
(02)
:611
-&
←
1
→