Quantitative stereology
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Reading, Mass.
Addison-Wesley
1970
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| Schriftenreihe: | Addison-Wesley series in metallurgy and materials
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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MARC
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| 100 | 1 | |a Underwood, Ervin E. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Quantitative stereology |
| 264 | 1 | |a Reading, Mass. |b Addison-Wesley |c 1970 | |
| 300 | |a X, 274 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Addison-Wesley series in metallurgy and materials | |
| 650 | 4 | |a Stéréologie | |
| 650 | 4 | |a Philosophie | |
| 650 | 4 | |a Chemistry, Physical | |
| 650 | 4 | |a Models, Theoretical | |
| 650 | 4 | |a Philosophy | |
| 650 | 4 | |a Stereology | |
| 650 | 0 | 7 | |a Stereologie |0 (DE-588)4183122-6 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Quantitative Stereologie |2 gnd |9 rswk-swf | |
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Datensatz im Suchindex
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| _version_ | 1816711326170349568 |
| adam_text | CONTENTS
Chapter 1 Basic Concepts, Symbols, and Measurements
1 1 Introduction 1
1 2 Basic Symbols 3
1 3 Basic Measurements 5
131 PP 5
132 PL 6
133 Nl 8
134 PA 9
135 Na 10
136 Aa 11
137 Ll 11
1 4 Statistical Analysis and Estimation of Errors 12
141 Statistical Relationships 13
142 Volume-Fraction Measurements 15
143 Point Count Procedure 18
Chapter 2 Statistically Exact Expressions for Points,
Lines, Surfaces and Volumes
2 1 Introduction 23
2 2 Measured and Calculated Quantities 24
2 3 Volume Fraction Vv 25
viii Contents
231 Areal Fraction A a 25
232 Lineal Fraction Ll 27
233 Point Fraction PP 29
2 4 Surface-to-Volume Ratio Sv 30
241 Two-Dimensional Internal Surfaces 32
242 Internal Surfaces of Finite Thickness 34
243 Interfaces of Particles Dispersed in a Matrix 34
244 Tomkeieff’s Equation for Three-Dimensional Objects 35
245 Chalkley’s Equation for Three-Dimensional Objects 36
2 5 Length of Line per Unit Area La 38
251 Systems of Lines in a Plane 38
252 Tomkeieff’s Equation for Two-Dimensional Figures 40
253 Chalkley’s Equation for Two-Dimensional Figures 42
2 6 Lengtli of Line per Unit Volume Lv 43
2 7 Number of Points per Unit Volume Py 44
Chapter 3 Oriented Structures
3 1 Introduction 48
3 2 Systems of Lines in a Plane 48
321 Completely Oriented Systems 48
322 Partially Oriented Systems 54
3 3 Systems of Lines in Space 58
331 Completely Oriented Systems 59
332 Partially Oriented Systems 61
3 4 Systems of Surfaces in Space 62
341 Completely Oriented Systems 62
342 Partially Oriented Systems 66
3 5 Hilliard’s Analysis of Oriented Structures 71
351 Lines in a Plane • 71
352 Lines in Space 72
353 Surfaces in Space 73
3 6 Lamellar Structures 73
Chapter 4 Particle and Grain Characteristics
4 1 Introduction 80
4 2 Statistically Exact Relationships 80
421 Mean Intercept Length 81
422 Mean Free Distance 82
423 Particle Relationships 83
424 Nearest-Neighbor Distances 84
4 3 Exact Relationships for Particles of Regular Shapes 85
431 General Relationships for Convex Bodies 86
432 Properties of Convex Bodies of One Shape and Size 94
433 Relationships for Convex Bodies of Different Sizes 95
434 Relationships Between Nv and NA 96
4 4 Particles Embedded in Internal Boundaries 97
441 Basic Relationships 97
Contents ix
4 5
4 6
Chapter 5
5 1
5 2
5 3
5 4
5 5
Chapter 6
6 1
6 2
6 3
6 4
6 5
6 6
6 7
442 Applications 98
Contiguity 99
451 Exact Relationships 100
452 Approximate Relationships 102
Statistical Diameters 103
461 Definitions of Mean Diameters 103
462 Definitions of Statistical Diameters 104
Particle and Grain-size Distributions
Introduction 109
Basic Concepts of Particle Size Analysis 109
521 Definitions of Terms 110
522 Basic Relationships Ill
523 Illustration of the Calculation of Size Distributions of Spheres 114
Methods for Determining Size Distributions of Spheres 117
531 General Characteristics of Methods 117
532 Schwartz-Saltykov (Diameter) Analysis 119
533 Saltykov (Area) Analysis 123
534 Spektor (Chord) Analysis 126
535 Lord and Willis Graphical (Chord) Analysis 129
536 Cahn and Fullman (Chord) Analysis 133
Spatial Size Distribution of Nonspherical Particles 133
541 Wicksell Analysis for Ellipsoids 134
542 DeHoff Analysis for Ellipsoids 135
543 Scheil and Wurst Analysis for a Statistical Grain Shape 136
544 Paulus Analysis for the Pentagonal Dodecahedron 137
545 Cahn and Fullman Analysis for Lamellar Structures 138
Special Methods for Representing Particle Size Distributions 140
551 Log Normal Distribution of Particle Sizes 140
552 Procedure Based on Log Normal Distributions 141
Projected Images
Introduction 148
Dimensional Equivalents 149
Corresponding Quantities 151
Exact Expressions for Projected Images 151
641 Points 154
642 Lines 154
643 Areas 157
644 Convex Particles 159
Projection of Oriented Structures 163
Total Projections of Random Structures 166
661 Total Projection of Lines in a Plane 166
662 Total Projection of Lines in Space 169
663 Total Projection of Surfaces in Space 170
Approximate Expressions for Projected Images 172
671 Volume Fraction 173
x Contents
672 Area of Surfaces in Space 178
673 Length of Lines in Space 180
674 Points in Space 181
675 Mean Free Distance 183
6 8 Size Distributions of Convex Particles 185
681 Direct Measurement of Size Distributions 185
682 Three-Parameter Representation of Size Distributions 186
683 Overlap Correction for Size Distributions 187
6 9 Determination of Foil Thickness 188
Chapter 7 Specification of Shape
7 1 Introduction 195
7 2 Methods of Specifying Shape 196
7 3 Basic Concepts in the Theory of Curves 197
731 Length 198
732 Tangency 199
733 Curvature 199
734 Osculating Plane 200
735 Torsion 201
7 4 Basic Concepts in the Theory of Surfaces 202
741 Tangent Plane 202
742 Area of a Surface 203
743 Curvature of a Surface 203
744 Mean Curvature 205
745 Total Curvature 205
7 5 Mathematical Methods 206
751 Simple Geometrical Figures 206
752 Polar Plots 207
753 Curve Fitting 208
754 Transformations of Coordinates 211
755 Topological Relationships 214
756 Curvature 219
757 Numerical Specification of Form 225
7 6 Experimental Methods 227
761 Random Sections or Projections 227
762 Serial Sectioning 232
763 Three-Dimensional Cell Studies 239
764 Stereoscopic Reconstructions 244
Index
|
| any_adam_object | 1 |
| author | Underwood, Ervin E. |
| author_facet | Underwood, Ervin E. |
| author_role | aut |
| author_sort | Underwood, Ervin E. |
| author_variant | e e u ee eeu |
| building | Verbundindex |
| bvnumber | BV001930252 |
| callnumber-first | Q - Science |
| callnumber-label | Q175 |
| callnumber-raw | Q175 |
| callnumber-search | Q175 |
| callnumber-sort | Q 3175 |
| callnumber-subject | Q - General Science |
| classification_rvk | VG 6900 |
| ctrlnum | (OCoLC)128415 (DE-599)BVBBV001930252 |
| dewey-full | 669.9/5/0282 502/.8 |
| dewey-hundreds | 600 - Technology (Applied sciences) 500 - Natural sciences and mathematics |
| dewey-ones | 669 - Metallurgy 502 - Miscellany |
| dewey-raw | 669.9/5/0282 502/.8 |
| dewey-search | 669.9/5/0282 502/.8 |
| dewey-sort | 3669.9 15 3282 |
| dewey-tens | 660 - Chemical engineering 500 - Natural sciences and mathematics |
| discipline | Chemie / Pharmazie Allgemeine Naturwissenschaft |
| format | Book |
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| genre | Quantitative Stereologie gnd |
| genre_facet | Quantitative Stereologie |
| id | DE-604.BV001930252 |
| illustrated | Illustrated |
| indexdate | 2024-11-25T17:07:22Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001258120 |
| oclc_num | 128415 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-29T DE-83 DE-188 |
| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-29T DE-83 DE-188 |
| physical | X, 274 S. Ill. |
| psigel | TUB-nveb |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Addison-Wesley |
| record_format | marc |
| series2 | Addison-Wesley series in metallurgy and materials |
| spellingShingle | Underwood, Ervin E. Quantitative stereology Stéréologie Philosophie Chemistry, Physical Models, Theoretical Philosophy Stereology Stereologie (DE-588)4183122-6 gnd |
| subject_GND | (DE-588)4183122-6 |
| title | Quantitative stereology |
| title_auth | Quantitative stereology |
| title_exact_search | Quantitative stereology |
| title_full | Quantitative stereology |
| title_fullStr | Quantitative stereology |
| title_full_unstemmed | Quantitative stereology |
| title_short | Quantitative stereology |
| title_sort | quantitative stereology |
| topic | Stéréologie Philosophie Chemistry, Physical Models, Theoretical Philosophy Stereology Stereologie (DE-588)4183122-6 gnd |
| topic_facet | Stéréologie Philosophie Chemistry, Physical Models, Theoretical Philosophy Stereology Stereologie Quantitative Stereologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001258120&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT underwoodervine quantitativestereology |