--- _id: '1946' abstract: - lang: eng text: An ultra-low dose (10-14 M) of opioid peptide [D-Ala2]methionine enkephalinamide (DAMEA) is found to exert an inhibitory effect on the production of reactive oxygen species (respiratory burst) in human neutrophils. The validity of this phenomenon has been verified in a series of studies that comprised 30 experiments. The inhibition has proved to be statistically significant (P<0.001). The dose-response dependence of the effect (10-15-10-9 M) followed a characteristic biphasic pattern (with the maximum effect at ultra-low doses). An opioid antagonist, naloxone partially blocks the inhibitory effect, which indicates that the DAMEA action is at least partially mediated by opioid receptors. article_processing_charge: No author: - first_name: Sergei full_name: Zaǐtsev, Sergei last_name: Zaǐtsev - first_name: Leonid A full_name: Sazanov, Leonid A id: 338D39FE-F248-11E8-B48F-1D18A9856A87 last_name: Sazanov orcid: 0000-0002-0977-7989 - first_name: Aleksei full_name: Koshkin, Aleksei last_name: Koshkin - first_name: Galina full_name: Sud'Ina, Galina last_name: Sud'Ina - first_name: Sergei full_name: Varfolomeev, Sergei last_name: Varfolomeev citation: ama: Zaǐtsev S, Sazanov LA, Koshkin A, Sud’Ina G, Varfolomeev S. Respiratory burst inhibition in human neutrophils by ultra-low doses of [D-Ala2] methionine enkephalinamide. FEBS Letters. 1991;291(1):84-86. doi:10.1016/0014-5793(91)81109-L apa: Zaǐtsev, S., Sazanov, L. A., Koshkin, A., Sud’Ina, G., & Varfolomeev, S. (1991). Respiratory burst inhibition in human neutrophils by ultra-low doses of [D-Ala2] methionine enkephalinamide. FEBS Letters. Elsevier. https://doi.org/10.1016/0014-5793(91)81109-L chicago: Zaǐtsev, Sergei, Leonid A Sazanov, Aleksei Koshkin, Galina Sud’Ina, and Sergei Varfolomeev. “Respiratory Burst Inhibition in Human Neutrophils by Ultra-Low Doses of [D-Ala2] Methionine Enkephalinamide.” FEBS Letters. Elsevier, 1991. https://doi.org/10.1016/0014-5793(91)81109-L. ieee: S. Zaǐtsev, L. A. Sazanov, A. Koshkin, G. Sud’Ina, and S. Varfolomeev, “Respiratory burst inhibition in human neutrophils by ultra-low doses of [D-Ala2] methionine enkephalinamide,” FEBS Letters, vol. 291, no. 1. Elsevier, pp. 84–86, 1991. ista: Zaǐtsev S, Sazanov LA, Koshkin A, Sud’Ina G, Varfolomeev S. 1991. Respiratory burst inhibition in human neutrophils by ultra-low doses of [D-Ala2] methionine enkephalinamide. FEBS Letters. 291(1), 84–86. mla: Zaǐtsev, Sergei, et al. “Respiratory Burst Inhibition in Human Neutrophils by Ultra-Low Doses of [D-Ala2] Methionine Enkephalinamide.” FEBS Letters, vol. 291, no. 1, Elsevier, 1991, pp. 84–86, doi:10.1016/0014-5793(91)81109-L. short: S. Zaǐtsev, L.A. Sazanov, A. Koshkin, G. Sud’Ina, S. Varfolomeev, FEBS Letters 291 (1991) 84–86. date_created: 2018-12-11T11:54:51Z date_published: 1991-10-07T00:00:00Z date_updated: 2022-03-07T09:49:06Z day: '07' doi: 10.1016/0014-5793(91)81109-L extern: '1' external_id: pmid: - '1936255 ' intvolume: ' 291' issue: '1' language: - iso: eng main_file_link: - url: https://www.sciencedirect.com/science/article/pii/001457939181109L month: '10' oa_version: None page: 84 - 86 pmid: 1 publication: FEBS Letters publication_identifier: issn: - 0014-2956 publication_status: published publisher: Elsevier publist_id: '5139' quality_controlled: '1' scopus_import: '1' status: public title: Respiratory burst inhibition in human neutrophils by ultra-low doses of [D-Ala2] methionine enkephalinamide type: journal_article user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 291 year: '1991' ... --- _id: '2483' abstract: - lang: eng text: A complementary DNA encoding the rat NMDA receptor has been cloned and characterized. The single protein encoded by the cDNA forms a receptor-channel complex that has electrophysiological and pharmacological properties characteristic of the NMDA receptor. This protein has a significant sequence similarity to the AMPA/kainate receptors and contains four putative transmembrane segments following a large extracellular domain. The NMDA receptor messenger RNA is expressed in neuronal cells throughout the brain regions, particularly in the hippocampus, cerebral cortex and cerebellum. article_processing_charge: No article_type: original author: - first_name: Koki full_name: Moriyoshi, Koki last_name: Moriyoshi - first_name: Masayuki full_name: Masu, Masayuki last_name: Masu - first_name: Takahiro full_name: Ishii, Takahiro last_name: Ishii - first_name: Ryuichi full_name: Shigemoto, Ryuichi id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: Noboru full_name: Mizuno, Noboru last_name: Mizuno - first_name: Shigetada full_name: Nakanishi, Shigetada last_name: Nakanishi citation: ama: Moriyoshi K, Masu M, Ishii T, Shigemoto R, Mizuno N, Nakanishi S. Molecular cloning and characterization of the rat NMDA receptor. Nature. 1991;353(6348):31-37. doi:10.1038/354031a0 apa: Moriyoshi, K., Masu, M., Ishii, T., Shigemoto, R., Mizuno, N., & Nakanishi, S. (1991). Molecular cloning and characterization of the rat NMDA receptor. Nature. Nature Publishing Group. https://doi.org/10.1038/354031a0 chicago: Moriyoshi, Koki, Masayuki Masu, Takahiro Ishii, Ryuichi Shigemoto, Noboru Mizuno, and Shigetada Nakanishi. “Molecular Cloning and Characterization of the Rat NMDA Receptor.” Nature. Nature Publishing Group, 1991. https://doi.org/10.1038/354031a0. ieee: K. Moriyoshi, M. Masu, T. Ishii, R. Shigemoto, N. Mizuno, and S. Nakanishi, “Molecular cloning and characterization of the rat NMDA receptor,” Nature, vol. 353, no. 6348. Nature Publishing Group, pp. 31–37, 1991. ista: Moriyoshi K, Masu M, Ishii T, Shigemoto R, Mizuno N, Nakanishi S. 1991. Molecular cloning and characterization of the rat NMDA receptor. Nature. 353(6348), 31–37. mla: Moriyoshi, Koki, et al. “Molecular Cloning and Characterization of the Rat NMDA Receptor.” Nature, vol. 353, no. 6348, Nature Publishing Group, 1991, pp. 31–37, doi:10.1038/354031a0. short: K. Moriyoshi, M. Masu, T. Ishii, R. Shigemoto, N. Mizuno, S. Nakanishi, Nature 353 (1991) 31–37. date_created: 2018-12-11T11:57:56Z date_published: 1991-11-07T00:00:00Z date_updated: 2022-03-03T15:25:04Z day: '07' doi: 10.1038/354031a0 extern: '1' external_id: pmid: - '1834949' intvolume: ' 353' issue: '6348' language: - iso: eng main_file_link: - url: https://www.nature.com/articles/354031a0 month: '11' oa_version: None page: 31 - 37 pmid: 1 publication: Nature publication_identifier: eissn: - 1476-4687 issn: - 0028-0836 publication_status: published publisher: Nature Publishing Group publist_id: '4418' quality_controlled: '1' scopus_import: '1' status: public title: Molecular cloning and characterization of the rat NMDA receptor type: journal_article user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 353 year: '1991' ... --- _id: '2482' abstract: - lang: eng text: The complementary DNA of a metabotropic glutamate receptor coupled to inositol phosphate/Ca2+ signal transduction has been cloned and characterized. This receptor shows no sequence similarity to conventional G protein-coupled receptors and has a unique structure with large hydrophilic sequences at both sides of seven putative membrane-spanning domains. Abundant expression of this messenger RNA is observed in neuronal cells in hippocampal dentate gyrus and CA2-3 and in cerebellar Purkinje cells, suggesting the importance of this receptor in specific hippocampal and cerebellar functions. article_processing_charge: No article_type: original author: - first_name: Masayuki full_name: Masu, Masayuki last_name: Masu - first_name: Yasuto full_name: Tanabe, Yasuto last_name: Tanabe - first_name: Kunihiro full_name: Tsuchida, Kunihiro last_name: Tsuchida - first_name: Ryuichi full_name: Shigemoto, Ryuichi id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: Shigetada full_name: Nakanishi, Shigetada last_name: Nakanishi citation: ama: Masu M, Tanabe Y, Tsuchida K, Shigemoto R, Nakanishi S. Sequence and expression of a metabotropic glutamate receptor. Nature. 1991;349(6312):760-765. doi:10.1038/349760a0 apa: Masu, M., Tanabe, Y., Tsuchida, K., Shigemoto, R., & Nakanishi, S. (1991). Sequence and expression of a metabotropic glutamate receptor. Nature. Nature Publishing Group. https://doi.org/10.1038/349760a0 chicago: Masu, Masayuki, Yasuto Tanabe, Kunihiro Tsuchida, Ryuichi Shigemoto, and Shigetada Nakanishi. “Sequence and Expression of a Metabotropic Glutamate Receptor.” Nature. Nature Publishing Group, 1991. https://doi.org/10.1038/349760a0. ieee: M. Masu, Y. Tanabe, K. Tsuchida, R. Shigemoto, and S. Nakanishi, “Sequence and expression of a metabotropic glutamate receptor,” Nature, vol. 349, no. 6312. Nature Publishing Group, pp. 760–765, 1991. ista: Masu M, Tanabe Y, Tsuchida K, Shigemoto R, Nakanishi S. 1991. Sequence and expression of a metabotropic glutamate receptor. Nature. 349(6312), 760–765. mla: Masu, Masayuki, et al. “Sequence and Expression of a Metabotropic Glutamate Receptor.” Nature, vol. 349, no. 6312, Nature Publishing Group, 1991, pp. 760–65, doi:10.1038/349760a0. short: M. Masu, Y. Tanabe, K. Tsuchida, R. Shigemoto, S. Nakanishi, Nature 349 (1991) 760–765. date_created: 2018-12-11T11:57:55Z date_published: 1991-02-28T00:00:00Z date_updated: 2022-03-03T15:37:36Z day: '28' doi: 10.1038/349760a0 extern: '1' external_id: pmid: - '1847995 ' intvolume: ' 349' issue: '6312' language: - iso: eng main_file_link: - url: https://www.nature.com/articles/349760a0 month: '02' oa_version: None page: 760 - 765 pmid: 1 publication: Nature publication_identifier: eissn: - 1476-4687 issn: - 0028-0836 publication_status: published publisher: Nature Publishing Group publist_id: '4419' quality_controlled: '1' scopus_import: '1' status: public title: Sequence and expression of a metabotropic glutamate receptor type: journal_article user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 349 year: '1991' ... --- _id: '2529' abstract: - lang: eng text: 'The distribution of cerebral cortical neurons sending projection fibers to the nucleus of the solitary tract (NST), and the topographical distribution of axon terminals of cortico-NST fibers within the NST were examined in the cat by two sets of experiments with horseradish peroxidase (HRP) and HRP conjugated with wheat germ agglutinin (WGA-HRP). First, HRP was injected into the NST. In the cerebral cortex of these cats, neuronal cell bodies were labeled retrogradely in the deep pyramidal cell layer (layer V): After HRP injection centered on the rostral or middle part of the NST, HRP-labeled neuronal cell bodies were distributed mainly in the orbital gyrus and caudal part of the intralimbic cortex, and additionally in the rostral part of the anterior sylvian gyrus. After HRP injection centered on the caudal part of the NST, labeled neuronal cell bodies were seen mainly in the caudoventral part of the intralimbic cortex, and additionally in the orbital gyrus, posterior sigmoid gyrus and rostral part of the anterior sylvian gyrus. The labeling in the intralimbic cortex, orbital gyrus and anterior sylvian gyrus was bilateral with a predominantly ipsilateral distribution, while that in the posterior sigmoid gyrus was bilateral with a clear-cut contralateral dominance. In the second set of experiments, WGA-HRP was injected into the cerebral cortical regions where neuronal cell bodies had been retrogradely labeled with HRP injected into the NST: after WGA-HRP injection into the orbital gyrus, presumed axon terminals in the NST were labeled in the rostral two thirds of the nucleus bilaterally with an ipsilateral predominance. After WGA-HRP injection into the rostral part of the anterior sylvian gyrus, a moderate number of presumed axon terminals were labeled throughout the whole rostrocaudal extent of the NST bilaterally with a slight ipsilateral dominance. After WGA-HRP injection into the middle and caudal parts of the anterior sylvian gyrus, no labeling was found in the NST. After WGA-HRP injection into the caudal part of the intralimbic cortex, presumed terminal labeling in the NST was seen throughout the whole rostrocaudal extent of the nucleus bilaterally with a dominant ipsilateral distribution. After WGA-HRP injection into the posterior sigmoid gyrus, however, no terminal labeling was found in the NST. The results indicate that cortico-NST fibers from the orbital gyrus terminate in the rostral two thirds of the NST, while those from the intralimbic cortex and the rostral part of the anterior sylvian gyrus project to the whole rostrocaudal extent of the NST.' article_processing_charge: No article_type: original author: - first_name: Yukihiko full_name: Yasui, Yukihiko last_name: Yasui - first_name: Kazuo full_name: Itoh, Kazuo last_name: Itoh - first_name: Takeshi full_name: Kaneko, Takeshi last_name: Kaneko - first_name: Ryuichi full_name: Shigemoto, Ryuichi id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: Noboru full_name: Mizuno, Noboru last_name: Mizuno citation: ama: Yasui Y, Itoh K, Kaneko T, Shigemoto R, Mizuno N. Topographical projections from the cerebral cortex to the nucleus of the solitary tract in the cat. Experimental Brain Research. 1991;85(1):75-84. doi:10.1007/BF00229988 apa: Yasui, Y., Itoh, K., Kaneko, T., Shigemoto, R., & Mizuno, N. (1991). Topographical projections from the cerebral cortex to the nucleus of the solitary tract in the cat. Experimental Brain Research. Springer. https://doi.org/10.1007/BF00229988 chicago: Yasui, Yukihiko, Kazuo Itoh, Takeshi Kaneko, Ryuichi Shigemoto, and Noboru Mizuno. “Topographical Projections from the Cerebral Cortex to the Nucleus of the Solitary Tract in the Cat.” Experimental Brain Research. Springer, 1991. https://doi.org/10.1007/BF00229988. ieee: Y. Yasui, K. Itoh, T. Kaneko, R. Shigemoto, and N. Mizuno, “Topographical projections from the cerebral cortex to the nucleus of the solitary tract in the cat,” Experimental Brain Research, vol. 85, no. 1. Springer, pp. 75–84, 1991. ista: Yasui Y, Itoh K, Kaneko T, Shigemoto R, Mizuno N. 1991. Topographical projections from the cerebral cortex to the nucleus of the solitary tract in the cat. Experimental Brain Research. 85(1), 75–84. mla: Yasui, Yukihiko, et al. “Topographical Projections from the Cerebral Cortex to the Nucleus of the Solitary Tract in the Cat.” Experimental Brain Research, vol. 85, no. 1, Springer, 1991, pp. 75–84, doi:10.1007/BF00229988. short: Y. Yasui, K. Itoh, T. Kaneko, R. Shigemoto, N. Mizuno, Experimental Brain Research 85 (1991) 75–84. date_created: 2018-12-11T11:58:12Z date_published: 1991-05-01T00:00:00Z date_updated: 2022-03-03T15:16:05Z day: '01' doi: 10.1007/BF00229988 extern: '1' external_id: pmid: - '1715827' intvolume: ' 85' issue: '1' language: - iso: eng main_file_link: - url: https://link.springer.com/article/10.1007/BF00229988 month: '05' oa_version: None page: 75 - 84 pmid: 1 publication: Experimental Brain Research publication_identifier: eissn: - 1432-1106 issn: - 0014-4819 publication_status: published publisher: Springer publist_id: '4370' quality_controlled: '1' scopus_import: '1' status: public title: Topographical projections from the cerebral cortex to the nucleus of the solitary tract in the cat type: journal_article user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 85 year: '1991' ... --- _id: '2530' article_processing_charge: No author: - first_name: Shigetada full_name: Nakanishi, Shigetada last_name: Nakanishi - first_name: Hiroaki full_name: Ohkubo, Hiroaki last_name: Ohkubo - first_name: Akira full_name: Kakizuka, Akira last_name: Kakizuka - first_name: Yoshifumi full_name: Yokota, Yoshifumi last_name: Yokota - first_name: Ryuichi full_name: Shigemoto, Ryuichi id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: Yoshiki full_name: Sasai, Yoshiki last_name: Sasai - first_name: Toru full_name: Takumi, Toru last_name: Takumi citation: ama: 'Nakanishi S, Ohkubo H, Kakizuka A, et al. Molecular characterization of mammalian tachykinin receptors and a possible epithelial potassium channel. In: Recent Progress in Hormone Research. Vol 46. The Endocrine Society; 1991:59-83. doi:10.1016/b978-0-12-571146-3.50007-9' apa: Nakanishi, S., Ohkubo, H., Kakizuka, A., Yokota, Y., Shigemoto, R., Sasai, Y., & Takumi, T. (1991). Molecular characterization of mammalian tachykinin receptors and a possible epithelial potassium channel. In Recent Progress in Hormone Research (Vol. 46, pp. 59–83). The Endocrine Society. https://doi.org/10.1016/b978-0-12-571146-3.50007-9 chicago: Nakanishi, Shigetada, Hiroaki Ohkubo, Akira Kakizuka, Yoshifumi Yokota, Ryuichi Shigemoto, Yoshiki Sasai, and Toru Takumi. “Molecular Characterization of Mammalian Tachykinin Receptors and a Possible Epithelial Potassium Channel.” In Recent Progress in Hormone Research, 46:59–83. The Endocrine Society, 1991. https://doi.org/10.1016/b978-0-12-571146-3.50007-9. ieee: S. Nakanishi et al., “Molecular characterization of mammalian tachykinin receptors and a possible epithelial potassium channel,” in Recent Progress in Hormone Research, vol. 46, The Endocrine Society, 1991, pp. 59–83. ista: 'Nakanishi S, Ohkubo H, Kakizuka A, Yokota Y, Shigemoto R, Sasai Y, Takumi T. 1991.Molecular characterization of mammalian tachykinin receptors and a possible epithelial potassium channel. In: Recent Progress in Hormone Research. vol. 46, 59–83.' mla: Nakanishi, Shigetada, et al. “Molecular Characterization of Mammalian Tachykinin Receptors and a Possible Epithelial Potassium Channel.” Recent Progress in Hormone Research, vol. 46, The Endocrine Society, 1991, pp. 59–83, doi:10.1016/b978-0-12-571146-3.50007-9. short: S. Nakanishi, H. Ohkubo, A. Kakizuka, Y. Yokota, R. Shigemoto, Y. Sasai, T. Takumi, in:, Recent Progress in Hormone Research, The Endocrine Society, 1991, pp. 59–83. date_created: 2018-12-11T11:58:13Z date_published: 1991-01-01T00:00:00Z date_updated: 2022-03-03T14:59:24Z day: '01' doi: 10.1016/b978-0-12-571146-3.50007-9 extern: '1' external_id: pmid: - '2177908 ' intvolume: ' 46' language: - iso: eng main_file_link: - url: https://www.sciencedirect.com/science/article/pii/B9780125711463500079 month: '01' oa_version: None page: 59 - 83 pmid: 1 publication: Recent Progress in Hormone Research publication_identifier: isbn: - 978-0-12-571148-7 publication_status: published publisher: The Endocrine Society publist_id: '4369' quality_controlled: '1' scopus_import: '1' status: public title: Molecular characterization of mammalian tachykinin receptors and a possible epithelial potassium channel type: book_chapter user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 46 year: '1991' ... --- _id: '3566' abstract: - lang: eng text: This paper proves an O(m2/3n2/3 + m + n) upper bound on the number of incidences between m points and n hyperplanes in four dimensions, assuming all points lie on one side of each hyperplane and the points and hyperplanes satisfy certain natural general position conditions. This result has application to various three-dimensional combinatorial distance problems. For example, it implies the same upper bound for the number of bichromatic minimum distance pairs in a set of m blue and n red points in three-dimensional space. This improves the best previous bound for this problem. © Springer-Verlag Berlin Heidelberg 1990. alternative_title: - DIMACS Series in Discrete Mathematics and Theoretical Computer Science article_processing_charge: No author: - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 - first_name: Micha full_name: Sharir, Micha last_name: Sharir citation: ama: 'Edelsbrunner H, Sharir M. A hyperplane incidence problem with applications to counting distances. In: Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift. Vol 4. American Mathematical Society; 1991:253-263.' apa: 'Edelsbrunner, H., & Sharir, M. (1991). A hyperplane incidence problem with applications to counting distances. In Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift (Vol. 4, pp. 253–263). American Mathematical Society.' chicago: 'Edelsbrunner, Herbert, and Micha Sharir. “A Hyperplane Incidence Problem with Applications to Counting Distances.” In Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift, 4:253–63. American Mathematical Society, 1991.' ieee: 'H. Edelsbrunner and M. Sharir, “A hyperplane incidence problem with applications to counting distances,” in Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift, vol. 4, American Mathematical Society, 1991, pp. 253–263.' ista: 'Edelsbrunner H, Sharir M. 1991.A hyperplane incidence problem with applications to counting distances. In: Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 4, 253–263.' mla: 'Edelsbrunner, Herbert, and Micha Sharir. “A Hyperplane Incidence Problem with Applications to Counting Distances.” Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift, vol. 4, American Mathematical Society, 1991, pp. 253–63.' short: 'H. Edelsbrunner, M. Sharir, in:, Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift, American Mathematical Society, 1991, pp. 253–263.' date_created: 2018-12-11T12:04:00Z date_published: 1991-04-01T00:00:00Z date_updated: 2022-03-03T13:27:01Z day: '01' extern: '1' intvolume: ' 4' language: - iso: eng main_file_link: - url: http://www.cs.duke.edu/~edels/Papers/1991-B-01-HyperplaneIncidence.pdf month: '04' oa_version: None page: 253 - 263 publication: 'Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift' publication_identifier: isbn: - 978-0897913850 publication_status: published publisher: American Mathematical Society publist_id: '2819' quality_controlled: '1' scopus_import: '1' status: public title: A hyperplane incidence problem with applications to counting distances type: book_chapter user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 4 year: '1991' ... --- _id: '3567' abstract: - lang: eng text: 'Many computational geometry problems arc exceedingly more difficult if the setting is the (three-dimensional real) space R3 rather than the plane . Most often the reason for this striking increase in complexity is the appearance of new geometric phenomena caused by one-dimensional objects in space. The intention of recent studies on problems for lines in space is to shed light on these new phenomena and their complexities. This paper reviews some of the most important results and shows how they are related to problems in dimensions 2 and 5. ' acknowledgement: National Science Foundation under grant CCR-8921421. alternative_title: - DIAMCS Series in Discrete Mathematics and Theoretical Computer Science article_processing_charge: No author: - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 citation: ama: 'Edelsbrunner H. Lines in space – A collection of results. In: Discrete & Computational Geometry: Papers from the Dimacs Special Year. Vol 6. Springer; 1991:77-93.' apa: 'Edelsbrunner, H. (1991). Lines in space – A collection of results. In Discrete & Computational Geometry: Papers from the Dimacs Special Year (Vol. 6, pp. 77–93). Springer.' chicago: 'Edelsbrunner, Herbert. “Lines in Space – A Collection of Results.” In Discrete & Computational Geometry: Papers from the Dimacs Special Year, 6:77–93. Springer, 1991.' ieee: 'H. Edelsbrunner, “Lines in space – A collection of results,” in Discrete & Computational Geometry: Papers from the Dimacs Special Year, vol. 6, Springer, 1991, pp. 77–93.' ista: 'Edelsbrunner H. 1991.Lines in space – A collection of results. In: Discrete & Computational Geometry: Papers from the Dimacs Special Year. DIAMCS Series in Discrete Mathematics and Theoretical Computer Science, vol. 6, 77–93.' mla: 'Edelsbrunner, Herbert. “Lines in Space – A Collection of Results.” Discrete & Computational Geometry: Papers from the Dimacs Special Year, vol. 6, Springer, 1991, pp. 77–93.' short: 'H. Edelsbrunner, in:, Discrete & Computational Geometry: Papers from the Dimacs Special Year, Springer, 1991, pp. 77–93.' date_created: 2018-12-11T12:04:00Z date_published: 1991-06-01T00:00:00Z date_updated: 2022-03-03T10:48:15Z day: '01' extern: '1' intvolume: ' 6' language: - iso: eng main_file_link: - url: https://pub.ist.ac.at/~edels/Papers/1991-B-02-LinesInSpaceACollection.pdf month: '06' oa_version: None page: 77 - 93 publication: 'Discrete & Computational Geometry: Papers from the Dimacs Special Year' publication_identifier: isbn: - '9780821865958' publication_status: published publisher: Springer publist_id: '2818' quality_controlled: '1' status: public title: Lines in space – A collection of results type: book_chapter user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 6 year: '1991' ... --- _id: '4052' abstract: - lang: eng text: This paper describes an effective procedure for stratifying a real semi-algebraic set into cells of constant description size. The attractive feature of our method is that the number of cells produced is singly exponential in the number of input variables. This compares favorably with the doubly exponential size of Collins' decomposition. Unlike Collins' construction, however, our scheme does not produce a cell complex but only a smooth stratification. Nevertheless, we are able to apply our results in interesting ways to problems of point location and geometric optimization. acknowledgement: The authors wish to thank DEC/Systems Research Center and DEC/Paris Research Laboratory, where part of this research was conducted. For individual support, Bernard Chazelle acknowledges the National Science Foundation for supporting this research in part under Grant CCR-8700917. Herbert Edelsbrunner acknowledges the support of the National Science Foundation under Grant CCR-8714565. Micha Sharir acknowledges the Office of Naval Research under Grant N00014-87-K-0129, the National Science Foundation under Grant No. NSF-DCR-83-20085, grants from the Digital Equipment Corporation and the IBM Corporation, and a research grant from the US-Israeli Binational Science Foundation. article_processing_charge: No article_type: original author: - first_name: Bernard full_name: Chazelle, Bernard last_name: Chazelle - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 - first_name: Leonidas full_name: Guibas, Leonidas last_name: Guibas - first_name: Micha full_name: Sharir, Micha last_name: Sharir citation: ama: Chazelle B, Edelsbrunner H, Guibas L, Sharir M. A singly exponential stratification scheme for real semi-algebraic varieties and its applications. Theoretical Computer Science. 1991;84(1):77-105. doi:10.1016/0304-3975(91)90261-Y apa: Chazelle, B., Edelsbrunner, H., Guibas, L., & Sharir, M. (1991). A singly exponential stratification scheme for real semi-algebraic varieties and its applications. Theoretical Computer Science. Elsevier. https://doi.org/10.1016/0304-3975(91)90261-Y chicago: Chazelle, Bernard, Herbert Edelsbrunner, Leonidas Guibas, and Micha Sharir. “A Singly Exponential Stratification Scheme for Real Semi-Algebraic Varieties and Its Applications.” Theoretical Computer Science. Elsevier, 1991. https://doi.org/10.1016/0304-3975(91)90261-Y. ieee: B. Chazelle, H. Edelsbrunner, L. Guibas, and M. Sharir, “A singly exponential stratification scheme for real semi-algebraic varieties and its applications,” Theoretical Computer Science, vol. 84, no. 1. Elsevier, pp. 77–105, 1991. ista: Chazelle B, Edelsbrunner H, Guibas L, Sharir M. 1991. A singly exponential stratification scheme for real semi-algebraic varieties and its applications. Theoretical Computer Science. 84(1), 77–105. mla: Chazelle, Bernard, et al. “A Singly Exponential Stratification Scheme for Real Semi-Algebraic Varieties and Its Applications.” Theoretical Computer Science, vol. 84, no. 1, Elsevier, 1991, pp. 77–105, doi:10.1016/0304-3975(91)90261-Y. short: B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, Theoretical Computer Science 84 (1991) 77–105. date_created: 2018-12-11T12:06:39Z date_published: 1991-07-22T00:00:00Z date_updated: 2022-03-02T10:23:58Z day: '22' doi: 10.1016/0304-3975(91)90261-Y extern: '1' intvolume: ' 84' issue: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://www.sciencedirect.com/science/article/pii/030439759190261Y?via%3Dihub month: '07' oa: 1 oa_version: Published Version page: 77 - 105 publication: Theoretical Computer Science publication_identifier: eissn: - 1879-2294 issn: - 0304-3975 publication_status: published publisher: Elsevier publist_id: '2073' quality_controlled: '1' scopus_import: '1' status: public title: A singly exponential stratification scheme for real semi-algebraic varieties and its applications type: journal_article user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 84 year: '1991' ... --- _id: '4056' abstract: - lang: eng text: This paper proves that for every n ≥ 4 there is a convex n-gon such that the vertices of 2n - 7 vertex pairs are one unit of distance apart. This improves the previously best lower bound of ⌊ (5n - 5) 3⌋ given by Erdo{combining double acute accent}s and Moser if n ≥ 17. acknowledgement: The first author is pleased to acknowledge partial support by the Amoco Fnd. Fat. Dev. Comput. Sci. i-6-44862 and the National Science Foundation under Grant CCR-8714565. article_processing_charge: No article_type: original author: - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 - first_name: Péter full_name: Hajnal, Péter last_name: Hajnal citation: ama: Edelsbrunner H, Hajnal P. A lower bound on the number of unit distances between the vertices of a convex polygon. Journal of Combinatorial Theory Series A. 1991;56(2):312-316. doi:10.1016/0097-3165(91)90042-F apa: Edelsbrunner, H., & Hajnal, P. (1991). A lower bound on the number of unit distances between the vertices of a convex polygon. Journal of Combinatorial Theory Series A. Elsevier. https://doi.org/10.1016/0097-3165(91)90042-F chicago: Edelsbrunner, Herbert, and Péter Hajnal. “A Lower Bound on the Number of Unit Distances between the Vertices of a Convex Polygon.” Journal of Combinatorial Theory Series A. Elsevier, 1991. https://doi.org/10.1016/0097-3165(91)90042-F. ieee: H. Edelsbrunner and P. Hajnal, “A lower bound on the number of unit distances between the vertices of a convex polygon,” Journal of Combinatorial Theory Series A, vol. 56, no. 2. Elsevier, pp. 312–316, 1991. ista: Edelsbrunner H, Hajnal P. 1991. A lower bound on the number of unit distances between the vertices of a convex polygon. Journal of Combinatorial Theory Series A. 56(2), 312–316. mla: Edelsbrunner, Herbert, and Péter Hajnal. “A Lower Bound on the Number of Unit Distances between the Vertices of a Convex Polygon.” Journal of Combinatorial Theory Series A, vol. 56, no. 2, Elsevier, 1991, pp. 312–16, doi:10.1016/0097-3165(91)90042-F. short: H. Edelsbrunner, P. Hajnal, Journal of Combinatorial Theory Series A 56 (1991) 312–316. date_created: 2018-12-11T12:06:41Z date_published: 1991-03-01T00:00:00Z date_updated: 2022-03-02T09:56:10Z day: '01' doi: 10.1016/0097-3165(91)90042-F extern: '1' intvolume: ' 56' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://www.sciencedirect.com/science/article/pii/009731659190042F?via%3Dihub month: '03' oa: 1 oa_version: Published Version page: 312 - 316 publication: Journal of Combinatorial Theory Series A publication_identifier: eissn: - 1096-0899 issn: - 0097-3165 publication_status: published publisher: Elsevier publist_id: '2070' quality_controlled: '1' scopus_import: '1' status: public title: A lower bound on the number of unit distances between the vertices of a convex polygon type: journal_article user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 56 year: '1991' ... --- _id: '4054' abstract: - lang: eng text: The zone theorem for an arrangement of n hyperplanes in d-dimensional real space says that the total number of faces bounding the cells intersected by another hyperplane is O(n d–1). This result is the basis of a time-optimal incremental algorithm that constructs a hyperplane arrangement and has a host of other algorithmic and combinatorial applications. Unfortunately, the original proof of the zone theorem, for d ge 3, turned out to contain a serious and irreparable error. This paper presents a new proof of the theorem. Our proof is based on an inductive argument, which also applies in the case of pseudo-hyperplane arrangements. We also briefly discuss the fallacies of the old proof along with some ways of partially saving that approach. acknowledgement: Research of Herbert Edelsbrunner was supported by the National Science Foundation under grant CCR-89-21421. Raimund Seidel acknowledges support by an NSF Presidential Young Investigator Grant CCR-90-58440. Micha Sharir has been supported by ONR Grant N00014-90-J-1284, by NSF Grant CCR-89-01484, and by grants from the U.S.-Israeli Binational Science Foundation, the German-Israeli Foundation for Scientific Research and Development, and the Fund for Basic Research of the Israeli Academy of Sciences. alternative_title: - LNCS article_processing_charge: No author: - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 - first_name: Raimund full_name: Seidel, Raimund last_name: Seidel - first_name: Micha full_name: Sharir, Micha last_name: Sharir citation: ama: 'Edelsbrunner H, Seidel R, Sharir M. On the zone theorem for hyperplane arrangements. In: Vol 555. Springer; 1991:108-123. doi:10.1007/BFb0038185' apa: Edelsbrunner, H., Seidel, R., & Sharir, M. (1991). On the zone theorem for hyperplane arrangements (Vol. 555, pp. 108–123). Presented at the New Results and New Trends in Computer Science , Springer. https://doi.org/10.1007/BFb0038185 chicago: Edelsbrunner, Herbert, Raimund Seidel, and Micha Sharir. “On the Zone Theorem for Hyperplane Arrangements,” 555:108–23. Springer, 1991. https://doi.org/10.1007/BFb0038185. ieee: H. Edelsbrunner, R. Seidel, and M. Sharir, “On the zone theorem for hyperplane arrangements,” presented at the New Results and New Trends in Computer Science , 1991, vol. 555, pp. 108–123. ista: Edelsbrunner H, Seidel R, Sharir M. 1991. On the zone theorem for hyperplane arrangements. New Results and New Trends in Computer Science , LNCS, vol. 555, 108–123. mla: Edelsbrunner, Herbert, et al. On the Zone Theorem for Hyperplane Arrangements. Vol. 555, Springer, 1991, pp. 108–23, doi:10.1007/BFb0038185. short: H. Edelsbrunner, R. Seidel, M. Sharir, in:, Springer, 1991, pp. 108–123. conference: name: 'New Results and New Trends in Computer Science ' date_created: 2018-12-11T12:06:40Z date_published: 1991-11-13T00:00:00Z date_updated: 2022-02-28T15:13:37Z day: '13' doi: 10.1007/BFb0038185 extern: '1' intvolume: ' 555' language: - iso: eng main_file_link: - url: https://link.springer.com/chapter/10.1007/BFb0038185 month: '11' oa_version: None page: 108 - 123 publication_status: published publisher: Springer publist_id: '2068' quality_controlled: '1' status: public title: On the zone theorem for hyperplane arrangements type: conference user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 volume: 555 year: '1991' ...