Neighbourhood relations, sections and completion times for random tessellations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
1995
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Freiberg (Sachsen), Techn. Univ., Diss., 1995 |
| Beschreibung: | V, 95 S. |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV010565992 | ||
| 003 | DE-604 | ||
| 007 | t | ||
| 008 | 960104s1995 gw m||| 00||| ger d | ||
| 016 | 7 | |a 946048835 |2 DE-101 | |
| 035 | |a (OCoLC)258037128 | ||
| 035 | |a (DE-599)BVBBV010565992 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-29T |a DE-11 | ||
| 084 | |a 17,1 |2 ssgn | ||
| 100 | 1 | |a Chiu, Sung Nok |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Neighbourhood relations, sections and completion times for random tessellations |c vorgelegt von Sung Nok Chiu |
| 264 | 1 | |c 1995 | |
| 300 | |a V, 95 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Freiberg (Sachsen), Techn. Univ., Diss., 1995 | ||
| 650 | 0 | 7 | |a Parkettierung |0 (DE-588)4126296-7 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Parkettierung |0 (DE-588)4126296-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007044535&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007044535 | |
Datensatz im Suchindex
| _version_ | 1807320737144373248 |
|---|---|
| adam_text |
CONTENTS
ACKNOWLEDGEMENTS
I
1
INTRODUCTION
1
1.1
TESSELLATIONS
.
1
1.2
TYPICALITY
.
2
1.2.1
HEURISTICS
.
2
1.2.2
ERGODIC
AND
PALM
METHODS
.
2
1.3
RECENT
PROGRESS
OF
THE
THEORY
OF
RANDOM
TESSELLATIONS
.
3
1.4
OUTLINE
OF
THE
THESIS
.
5
2
THE
NEIGHBOURHOOD
OF
THE
TYPICAL
CELL
OF
A
RANDOM
TESSELLATION
7
2.1
ABOAV
'
S
LAW
AND
LEWIS
'
S
LAW
-
A
REVIEW
.
7
2.1.1
INTRODUCTION
.
7
2.1.2
ABOAV-WEAIRE
'
S
LAW
.
8
2.1.3
AN
EXACT
IDENTITY
.
11
2.1.4
RIVIER
'
S
MICROREVERSIBLE
SYSTEM
AND
MAXIMUM
ENTROPY
METHOD
11
2.1.5
LEWIS
'
S
LAW
-
RIVIER
'
S
MAXIMUM
ENTROPY
METHOD
.
13
2.1.6
SOME
EMPIRICAL
STUDIES
OF
LEWIS
'
S
LAW
.
15
2.1.7
THE
FUNDAMENTAL
REGION
.
16
2.2
MEAN
VALUE
FORMULAE
BY
USING
MECKE
'
S
(1980)
PALM
METHOD
.
17
2.2.1
INTRODUCTION
.
17
2.2.2
NOTATION
.
17
2.2.3
WEAIRE
'
S
SUM
RULE
AND
ABOAV
'
S
LAW
.
19
2.2.4
RESULTS
IN
HIGHER
DIMENSIONAL
SPACE
.
21
2.3
A
CRITICISM
ON
RIVIER
'
S
MAXIMUM
ENTROPY
METHOD
.
25
2.3.1
INTRODUCTION
.
25
2.3.2
A
REVIEW
OF
LEWIS
'
S
LAW
AND
THE
MAXIMUM
ENTROPY
METHOD
.
.
26
2.3.3
ABOAV
'
S
LAW
.
28
2.3.4
A
MAXIMUM
ENTROPY
PREDICTION
OF
ABOAV
'
S
LAW
.
30
2.3.5
OTHER
ENTROPIC
PREDICTIONS
OF
ABOAV
'
S
LAW
.
32
2.3.6
A
GENERAL
MAXIMUM
ENTROPY
METHOD
.
35
2.3.7
PROPERTIES
OF
MAXIMUM
ENTROPY
SELECTION
.
35
2.3.8
INFINITELY
MANY
POSSIBILITIES
OF
THE
FUNCTIONAL
FORM
OF
H(N)
.
.
36
2.3.9
CONCLUSION
AND
DISCUSSION
.
37
CONTENTS
IN
3
LIMIT
THEOREMS
FOR
THE
TIME
OF
COMPLETION
OF
JOHNSON-MEHL
TES
SELLATIONS
39
3.1
INTRODUCTION
.
39
3.2
THE
BOOLEAN
MODELS
.
42
3.3
THE
FUNDAMENTAL
THEOREM
.
43
3.4
IMPORTANT
SPECIAL
MODELS
.
49
3.5
UNBOUNDED
A
.
51
3.6
BOUNDED
A
.
52
3.7
NON-CONSTANT
GROWTH
SPEED
.
54
3.8
SECTIONAL
TESSELLATIONS
.
54
3.9
AN
EXAMPLE
OF
A
FRACTAL
AS
THE
RESULT
OF
A
BIRTH-GROWTH
PROCESS
.
57
3.10
PROOF
OF
THEOREM
3.1
.
59
3.11
EXTREME
VALUE
APPROACH
.
62
3.11.1
TIME
OF
COMPLETION
OF
LINEAR
VORONOI
TESSELLATIONS
GENERATED
BY
STATIONARY
RENEWAL
PROCESSES
.
62
3.11.2
RATE
OF
CONVERGENCE
OF
VORONOI
CASES
.
64
3.11.3
SIMULATION
.
65
4
THE
SECTIONAL
POISSON
VORONOI
TESSELLATION
IS
NOT
A
VORONOI
TESSEL
LATION.
66
4.1
INTRODUCTION
.
66
4.2
VORONOI
AND
SECTIONAL
VORONOI
TESSELLATIONS:
DEFINITIONS
.
68
4.3
MAIN
THEOREM
1:
THE
EXISTENCE
OF
NON-VORONOI
CELLS
.
70
4.4
VORONOI
AND
SECTIONAL
VORONOI
TESSELLATIONS:
FUNDAMENTAL
RESULTS
.
73
4.4.1
VERTICES
AND
POINT
DISTRIBUTIONS
.
73
4.4.2
THE
GENERATING
POINTS
.
73
4.5
MAIN
THEOREM
2:
ALL
CELLS
ARE
NON-VORONOI
.
75
4.5.1
CASE
(I):
PLANAR
SECTIONS
(1
=
2)
.
76
4.5.2
CASE
(II):
3
T
D
-
1
.
81
4.6
THE
NATURE
OF
THE
POINT
PROCESS
4
.
83
REFERENCES
85
KURZBIOGRAPHIE
95 |
| any_adam_object | 1 |
| author | Chiu, Sung Nok |
| author_facet | Chiu, Sung Nok |
| author_role | aut |
| author_sort | Chiu, Sung Nok |
| author_variant | s n c sn snc |
| building | Verbundindex |
| bvnumber | BV010565992 |
| ctrlnum | (OCoLC)258037128 (DE-599)BVBBV010565992 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV010565992</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">960104s1995 gw m||| 00||| ger d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">946048835</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)258037128</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010565992</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Chiu, Sung Nok</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Neighbourhood relations, sections and completion times for random tessellations</subfield><subfield code="c">vorgelegt von Sung Nok Chiu</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">V, 95 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Freiberg (Sachsen), Techn. Univ., Diss., 1995</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Parkettierung</subfield><subfield code="0">(DE-588)4126296-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Parkettierung</subfield><subfield code="0">(DE-588)4126296-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007044535&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007044535</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV010565992 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-14T00:29:28Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007044535 |
| oclc_num | 258037128 |
| open_access_boolean | |
| owner | DE-29T DE-11 |
| owner_facet | DE-29T DE-11 |
| physical | V, 95 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| record_format | marc |
| spelling | Chiu, Sung Nok Verfasser aut Neighbourhood relations, sections and completion times for random tessellations vorgelegt von Sung Nok Chiu 1995 V, 95 S. txt rdacontent n rdamedia nc rdacarrier Freiberg (Sachsen), Techn. Univ., Diss., 1995 Parkettierung (DE-588)4126296-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Parkettierung (DE-588)4126296-7 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007044535&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chiu, Sung Nok Neighbourhood relations, sections and completion times for random tessellations Parkettierung (DE-588)4126296-7 gnd |
| subject_GND | (DE-588)4126296-7 (DE-588)4113937-9 |
| title | Neighbourhood relations, sections and completion times for random tessellations |
| title_auth | Neighbourhood relations, sections and completion times for random tessellations |
| title_exact_search | Neighbourhood relations, sections and completion times for random tessellations |
| title_full | Neighbourhood relations, sections and completion times for random tessellations vorgelegt von Sung Nok Chiu |
| title_fullStr | Neighbourhood relations, sections and completion times for random tessellations vorgelegt von Sung Nok Chiu |
| title_full_unstemmed | Neighbourhood relations, sections and completion times for random tessellations vorgelegt von Sung Nok Chiu |
| title_short | Neighbourhood relations, sections and completion times for random tessellations |
| title_sort | neighbourhood relations sections and completion times for random tessellations |
| topic | Parkettierung (DE-588)4126296-7 gnd |
| topic_facet | Parkettierung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007044535&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT chiusungnok neighbourhoodrelationssectionsandcompletiontimesforrandomtessellations |