Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2079446036', 'doi': 'https://doi.org/10.1137/0141044', 'title': 'A Note on the Campbell Sampling Theorem', 'display_name': 'A Note on the Campbell Sampling Theorem', 'publication_year': 1981, 'publication_date': '1981-12-01', 'ids': {'openalex': 'https://openalex.org/W2079446036', 'doi': 'https://doi.org/10.1137/0141044', 'mag': '2079446036'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1137/0141044', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S77200987', 'display_name': 'SIAM Journal on Applied Mathematics', 'issn_l': '0036-1399', 'issn': ['0036-1399', '1095-712X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320508', 'host_organization_name': 'Society for Industrial and Applied Mathematics', 'host_organization_lineage': ['https://openalex.org/P4310320508'], 'host_organization_lineage_names': ['Society for Industrial and Applied Mathematics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://repository.lib.ncsu.edu/bitstream/1840.4/3386/1/ISMS__1256.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5006517366', 'display_name': 'Alan J. Lee', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Alan J. Lee', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5006517366'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 10, 'citation_normalized_percentile': {'value': 0.791715, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 80, 'max': 81}, 'biblio': {'volume': '41', 'issue': '3', 'first_page': '553', 'last_page': '557'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11901', 'display_name': 'Model-Based Clustering with Mixture Models', 'score': 0.9837, 'subfield': {'id': 'https://openalex.org/subfields/1702', 'display_name': 'Artificial Intelligence'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11901', 'display_name': 'Model-Based Clustering with Mixture Models', 'score': 0.9837, 'subfield': {'id': 'https://openalex.org/subfields/1702', 'display_name': 'Artificial Intelligence'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11210', 'display_name': 'Fractional Fourier Transform Analysis', 'score': 0.9832, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10901', 'display_name': 'Image Compression Techniques and Standards', 'score': 0.9797, 'subfield': {'id': 'https://openalex.org/subfields/1707', 'display_name': 'Computer Vision and Pattern Recognition'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/nyquist–shannon-sampling-theorem', 'display_name': 'Nyquist–Shannon sampling theorem', 'score': 0.731835}, {'id': 'https://openalex.org/keywords/bandlimiting', 'display_name': 'Bandlimiting', 'score': 0.7080498}, {'id': 'https://openalex.org/keywords/sampling', 'display_name': 'Sampling', 'score': 0.621739}, {'id': 'https://openalex.org/keywords/variational-inference', 'display_name': 'Variational Inference', 'score': 0.53267}, {'id': 'https://openalex.org/keywords/signal-processing', 'display_name': 'Signal Processing', 'score': 0.506126}, {'id': 'https://openalex.org/keywords/nonuniform-sampling', 'display_name': 'Nonuniform sampling', 'score': 0.50401324}], 'concepts': [{'id': 'https://openalex.org/C288623', 'wikidata': 'https://www.wikidata.org/wiki/Q679800', 'display_name': 'Nyquist–Shannon sampling theorem', 'level': 2, 'score': 0.731835}, {'id': 'https://openalex.org/C129997835', 'wikidata': 'https://www.wikidata.org/wiki/Q806263', 'display_name': 'Bandlimiting', 'level': 3, 'score': 0.7080498}, {'id': 'https://openalex.org/C140779682', 'wikidata': 'https://www.wikidata.org/wiki/Q210868', 'display_name': 'Sampling (signal processing)', 'level': 3, 'score': 0.66650105}, {'id': 'https://openalex.org/C34388435', 'wikidata': 'https://www.wikidata.org/wiki/Q2267362', 'display_name': 'Bounded function', 'level': 2, 'score': 0.56350344}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5620058}, {'id': 'https://openalex.org/C102519508', 'wikidata': 'https://www.wikidata.org/wiki/Q6520159', 'display_name': 'Fourier transform', 'level': 2, 'score': 0.55871737}, {'id': 'https://openalex.org/C20326153', 'wikidata': 'https://www.wikidata.org/wiki/Q7049638', 'display_name': 'Nonuniform sampling', 'level': 3, 'score': 0.50401324}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.40074295}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.37038064}, {'id': 'https://openalex.org/C2777686260', 'wikidata': 'https://www.wikidata.org/wiki/Q144037', 'display_name': 'Calculus (dental)', 'level': 2, 'score': 0.34770083}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.2510442}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.23192888}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.19997576}, {'id': 'https://openalex.org/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199343813', 'wikidata': 'https://www.wikidata.org/wiki/Q12128', 'display_name': 'Dentistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C106131492', 'wikidata': 'https://www.wikidata.org/wiki/Q3072260', 'display_name': 'Filter (signal processing)', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C28855332', 'wikidata': 'https://www.wikidata.org/wiki/Q198099', 'display_name': 'Quantization (signal processing)', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C31972630', 'wikidata': 'https://www.wikidata.org/wiki/Q844240', 'display_name': 'Computer vision', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1137/0141044', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S77200987', 'display_name': 'SIAM Journal on Applied Mathematics', 'issn_l': '0036-1399', 'issn': ['0036-1399', '1095-712X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320508', 'host_organization_name': 'Society for Industrial and Applied Mathematics', 'host_organization_lineage': ['https://openalex.org/P4310320508'], 'host_organization_lineage_names': ['Society for Industrial and Applied Mathematics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://www.lib.ncsu.edu/resolver/1840.4/3386', 'pdf_url': 'https://repository.lib.ncsu.edu/bitstream/1840.4/3386/1/ISMS__1256.pdf', 'source': {'id': 'https://openalex.org/S4306402468', 'display_name': 'NCSU Libraries Repository (North Carolina State University Libraries)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I137902535', 'host_organization_name': 'North Carolina State University', 'host_organization_lineage': ['https://openalex.org/I137902535'], 'host_organization_lineage_names': ['North Carolina State University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'http://www.lib.ncsu.edu/resolver/1840.4/3386', 'pdf_url': 'https://repository.lib.ncsu.edu/bitstream/1840.4/3386/1/ISMS__1256.pdf', 'source': {'id': 'https://openalex.org/S4306402468', 'display_name': 'NCSU Libraries Repository (North Carolina State University Libraries)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I137902535', 'host_organization_name': 'North Carolina State University', 'host_organization_lineage': ['https://openalex.org/I137902535'], 'host_organization_lineage_names': ['North Carolina State University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 6, 'referenced_works': ['https://openalex.org/W1500279823', 'https://openalex.org/W2036688741', 'https://openalex.org/W2050976707', 'https://openalex.org/W2084052726', 'https://openalex.org/W2088652825', 'https://openalex.org/W51895105'], 'related_works': ['https://openalex.org/W4297783100', 'https://openalex.org/W4247246397', 'https://openalex.org/W2989358680', 'https://openalex.org/W2949625467', 'https://openalex.org/W2170014524', 'https://openalex.org/W2148909075', 'https://openalex.org/W2143776865', 'https://openalex.org/W2140510750', 'https://openalex.org/W2125529598', 'https://openalex.org/W1421666895'], 'abstract_inverted_index': {'Previous': [0, 162], 'article': [1, 3, 163, 165], 'Next': [2, 164], 'A': [4, 190], 'Note': [5], 'on': [6, 196, 216, 247, 300], 'the': [7, 32, 79, 141, 217, 260, 284], 'Campbell': [8], 'Sampling': [9, 76, 192, 237, 285], 'TheoremAlan': [10], 'J.': [11, 13, 52, 89, 116], 'LeeAlan': [12], 'Leehttps://doi.org/10.1137/0141044PDFBibTexSections': [14], 'ToolsAdd': [15], 'to': [16, 41, 43], 'favoritesExport': [17], 'CitationTrack': [18], 'CitationsEmail': [19], 'SectionsAboutAbstractCampbell’s': [20], '1968': [21], 'sampling': [22, 56, 209, 214], 'theorem': [23, 77, 210], 'is': [24, 35, 39], 'examined': [25], 'and': [26, 60, 104, 122, 125, 136, 177, 224, 316, 332], 'a': [27, 48, 62, 83, 265], 'more': [28], 'explicit': [29], 'formula': [30], 'for': [31, 78, 170, 314, 330], 'truncation': [33], 'error': [34], 'given.': [36], 'The': [37, 54], 'result': [38], 'shown': [40], 'apply': [42], 'random': [44], 'processes': [45], 'bandlimited': [46, 120], 'in': [47], 'general': [49], 'sense.[1]': [50], 'A.': [51], 'Jerri,': [53], 'Shannon': [55], 'theorem-its': [57], 'various': [58], 'extensions': [59], 'applications:': [61], 'tutorial': [63], 'review,': [64], 'Proc.': [65], 'IEEE,': [66], '65': [67], '(1977),': [68], '1565–1596': [69], '0442.94002': [70], 'CrossrefISIGoogle': [71, 160], 'Scholar[2]': [72], 'L.': [73, 74], 'Campbell,': [75], 'Fourier': [80, 105, 171], 'transform': [81], 'of': [82, 119, 143, 173, 221, 238, 241, 262, 268, 283], 'distribution': [84], 'with': [85, 211], 'bounded': [86], 'support,': [87], 'SIAM': [88], 'Appl.': [90], 'Math.,': [91], '16': [92], '(1968),': [93], '626–636': [94], '10.1137/0116051': [95], '37:3276': [96], '0184.43802': [97], 'LinkISIGoogle': [98], 'Scholar[3]': [99], 'W.': [100], 'F.': [101], 'Donoghue,': [102], 'Distributions': [103], 'Transforms,': [106], 'Academic': [107], 'Press,': [108], 'New': [109], 'York,': [110], '1969': [111], '0188.18102': [112], 'Google': [113], 'Scholar[4]': [114], 'Alan': [115], 'Lee,': [117], 'Characterization': [118], 'functions': [121], 'processes,': [123, 147], 'Information': [124, 148], 'Control,': [126, 222], '31': [127], '(1976),': [128], '258–271': [129], '53:9366': [130], '0332.60022': [131], 'CrossrefGoogle': [132], 'Scholar[5]': [133], 'Stamatis': [134], 'Cambanis': [135], ',': [137], 'Elias': [138], 'Masry,': [139], 'On': [140], 'representation': [142], 'weakly': [144], 'continuous': [145], 'stochastic': [146], 'Sci.,': [149], '3': [150], '(1971),': [151], '277–290;': [152], 'erratum,': [153], 'ibid.': [154], '4': [155, 202, 253], '(1972),': [156], '289–290': [157], '46:4607': [158], '0229.60027': [159], 'Scholar': [161], 'FiguresRelatedReferencesCited': [166], 'ByDetails': [167], 'Upper': [168], 'bounds': [169], 'transforms': [172], 'exponential': [174], 'functionsComplex': [175], 'Variables': [176], 'Elliptic': [178], 'Equations,': [179], 'Vol.': [180, 199, 226, 250, 271], '57,': [181], 'No.': [182, 201, 228, 252, 273], '10': [183], '|': [184, 203, 230, 254, 275, 288], '1': [185, 204, 231, 274, 276, 289], 'Oct': [186], '2012': [187], 'Cross': [188, 234, 279, 292], 'Ref': [189, 235, 280, 293], 'Distributional': [191], 'TheoremYouming': [193], 'LiuSIAM': [194], 'Journal': [195, 246, 299], 'Mathematical': [197, 248], 'Analysis,': [198, 249], '27,': [200], 'August': [205], '2006AbstractPDF': [206, 257], '(474': [207], 'KB)A': [208], 'equally': [212], 'spaced': [213], 'points': [215], 'negative': [218], 'time': [219], 'axisMathematics': [220], 'Signals,': [223], 'Systems,': [225], '6,': [227], '2': [229], 'Jun': [232], '1993': [233], 'Nonuniform': [236], 'Bandlimited': [239], 'Functions': [240], 'Polynomial': [242], 'GrowthGilbert': [243], 'G.': [244], 'WalterSIAM': [245], '23,': [251, 272], '17': [255], 'July': [256, 308], '(774': [258], 'KB)On': [259], 'reconstruction': [261], 'signals': [263], 'by': [264], 'finite': [266], 'number': [267], 'samplesSignal': [269], 'Processing,': [270], 'Apr': [277], '1991': [278], 'Recent': [281], 'Extension': [282], 'TheoremSignal': [286], 'Processing': [287], 'Jan': [290], '1990': [291], 'Volume': [294], '41,': [295], 'Issue': [296], '3|': [297], '1981SIAM': [298], 'Applied': [301, 317, 333], 'Mathematics401-591': [302], 'History': [303], 'Submitted:30': [304], 'October': [305], '1979Published': [306], 'online:12': [307], '2006': [309], 'InformationCopyright': [310], '©': [311], '1981': [312], 'Society': [313], 'Industrial': [315, 331], 'MathematicsPDF': [318], 'Download': [319], 'Article': [320], '&': [321], 'Publication': [322], 'DataArticle': [323], 'DOI:10.1137/0141044Article': [324], 'page': [325], 'range:pp.': [326], '553-557ISSN': [327], '(print):0036-1399ISSN': [328], '(online):1095-712XPublisher:Society': [329], 'Mathematics': [334]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2079446036', 'counts_by_year': [{'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-09-16T02:51:18.869995', 'created_date': '2016-06-24'}