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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematische Semesterberichte 45 (1998), S. 167-188 
    ISSN: 0720-728X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Zusammenfassung. Mit Hilfe der projektiven Geometrie werden neuartige Summationsformeln hergeleitet, die die Tschebyscheff-Polynome $T_n$ und modifizierte Polynome $\hat{T}_n$ enthalten; z. B. gilt für alle $x \in {\Bbb R} \setminus [-1,1]$ : \[ \sum_{m=-\infty}^{+\infty} \left(\frac{1}{\hat{T}_m(x) \cdot T_{m+1}(x)} + \frac{1}{T_{m+1}(x)\cdot \hat{T}_{m+1}(x)} \right) = 2\sqrt{\frac{x+1}{x-1}} . \] Daraus ergeben sich wiederum interessante Summationsformeln für die Hyperbelfunktionen; es gilt z. B. für positive reelle Zahlen t: \[ \sum_{k=0}^{+\infty} \frac{1}{\cosh kt \cdot \cosh (k+1)t} = \frac1{\sinh t} . \]
    Type of Medium: Electronic Resource
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  • 2
    Publication Date: 2016-01-26
    Print ISSN: 0959-6836
    Electronic ISSN: 1477-0911
    Topics: Geography , Geosciences
    Published by Sage Publications
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  • 3
    Publication Date: 2015-07-24
    Description: PP23B-1388 The Holocene evolution of the upper ocean in the Nordic Seas is assessed based on the qualitative and quantitative evaluation of 16 dinoflagellate cyst (dinocyst) records retrieved from the warm and saline Atlantic Domain in the east, across the seasonally sea-ice covered Arctic Domain, to the Arctic-outflow influenced Polar Domain in the west. First signs of interglacial conditions are observed from ~11.5 ka BP onwards in the Atlantic Domain, and expanded time-transgressively westward, with deglacial processes appearing to have persisted ~2 kyr longer in the west. No clear peak warming can be observed in the dinocyst data during the interval that is generally considered to correspond to the Holocene climatic optimum, and the disparity between the dinocyst and other phytoplankton records suggests a pronounced seasonality at that time. A slightly freshened upper ocean appears to have facilitated seasonal sea ice formation even at the Vøring Plateau. Despite the strongly contrasting environmental conditions across the Nordic Seas, a basin-wide uniform change in the assemblage compositions is seen between ~7 and 6.1 ka BP, and appears to be linked to the establishment of the modern surface circulation pattern. Potential density estimates for the surface water close to modern convection sites reveals values that would imply an increased likeliness of dense enough surface waters to permit sinking from that time onwards. The changes in the Nordic Seas appear to follow a similar reorganisation in the Labrador Sea and the onset of strong winter convection there. Finally, a gradual eastward expansion of the Arctic Domain can be observed from ~4.5 ka BP onwards, with a delayed consequent reaction of the Atlantic-sourced water inflow at the Vøring Plateau showing a slight recovery of cool taxa from ~2.4 ka BP onwards.
    Type: Conference or Workshop Item , NonPeerReviewed
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  • 4
    Publication Date: 2020-05-22
    Description: Dinoflagellate cysts have been investigated in nine short sediment cores as well as two long sediment cores from the Norwegian-Greenland Sea and the North Atlantic to reconstruct the surface water paleoenvironment of the last climatic cycle and the Holocene. Holocene sea-surface temperatures and salinities during summer and winter and the extent of sea-ice cover were reconstructed. On the Rockall Plateau, higher cyst concentrations indicating favourable conditions and increased productivity only occur during parts of stage 5, 4-2, and the Holocene. Only sparse occurrences of dinocysts have been observed in the Norwegian-Greenland Sea before 10000 yr BP. Later, high abundances of O. centrocarpum and N. labyrinthus indicate the increased inflow of relatively warm Atlantic. A change in dominance of these species as well as a distinct increase in cyst concentrations marks the onset of the recent circulation system. In the Norwegian Sea, O. centrocarpum dominates the assemblages since about 7000 yr BP, while assemblages in the Iceland and the Greenland Sea are more complex due to the influence of different surface currents.
    Type: Thesis , NonPeerReviewed
    Format: text
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  • 5
    facet.materialart.
    Unknown
    PANGAEA
    In:  Supplement to: Matthiessen, Jens; Baumann, Astrid (1997): Dinoflagellate cyst record from the East Greenland continental margin during the last 15,000 years: Implications for paleoceanographic reconstruction. In: Hass, H.C.; Kaminski, M.A. (eds.). Contribution to the Micropaleontology and Paleoceanography of the Northern North Atlantic. Grzybowski Foundation Special Publication, 5, 149-165
    Publication Date: 2023-06-27
    Description: Late Weichselian and Holocene dinoflagellate cyst assemblages have been investigated at two stations situated close to the modern Polar Front at the continental margin oft East Greenland. Both the concentrations of dinoflagelate cysts and the assemblage composition reflect changes in the surface water conditions, occurring in distinct steps during the past 15,000 years. Low concentrations of dinoflagellate cysts during Termination Ia suggest harsh environmental conditions, most probably caused by an extensive sea-ice cover and/or a high influx of low salinity meltwater. A surface water warming was recorded from 13,000 - 12,000 years BP, related to the inflow of warmer water trom the North Atlantic into the western Norwegian-Greenland Sea. The interval between Terminations la and Ib was characterized by a strong seasonality with an extensive sea-ice cover in winter and relatively warm surface waters in summer. At the transition to the Holocene, a reorganisation of the hydrography resulted in surface water conditions characteristic for the Holocene with three well-defined major water masses and oceanographic fronts The modern water mass conditions at both stations were established at the end of Termination Ib, around 6,400 to 6,800 years BP. In general, the influence of colder surface waters was more pronounced at the location off Scoresby Sund throughout the Holocene. Arctic water had the strongest influence at both stations in the middle Holocene. A progressive cooling with an increase in sea-ice cover is time-transgressivelyrecorded at both stations during the Holocene, indicating that the Polar Front moved to its present position or that branches of the zonal currents expanded from the East Greenland shell eastward during tlie last 3,000 years.
    Keywords: ARK-III/3; ARK-V/3b; AWI_Paleo; Fram Strait; Giant box corer; GIK21295-5 PS07/586; GIK21730-1 PS13/224; GIK21730-2 PS13/224; GKG; Gravity corer (Kiel type); Greenland Sea; Paleoenvironmental Reconstructions from Marine Sediments @ AWI; Polarstern; PS07; PS1295-5; PS13 GRÖKORT; PS1730-1; PS1730-2; SL
    Type: Dataset
    Format: application/zip, 2 datasets
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  • 6
    Publication Date: 2023-07-10
    Keywords: AGE; Algidasphaeridium minutum; ARK-III/3; AWI_Paleo; Brigantedinium spp.; Counting, dinoflagellate cysts; Cysts; DEPTH, sediment/rock; Dinoflagellate cyst indeterminata; Fram Strait; GIK21295-5 PS07/586; Gravity corer (Kiel type); Impagidinium pallidum; Nematosphaeropsis labyrinthus; Operculodinium centrocarpum; Paleoenvironmental Reconstructions from Marine Sediments @ AWI; Polarstern; PS07; PS1295-5; SL; Spiniferites elongatus; Spiniferites spp.
    Type: Dataset
    Format: text/tab-separated-values, 181 data points
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  • 7
    Publication Date: 2023-07-10
    Keywords: AGE; Algidasphaeridium minutum; ARK-V/3b; AWI_Paleo; Brigantedinium spp.; Counting, dinoflagellate cysts; Cysts; Depth, composite; DEPTH, sediment/rock; Dinoflagellate cyst indeterminata; Event label; Giant box corer; GIK21730-1 PS13/224; GIK21730-2 PS13/224; GKG; Gravity corer (Kiel type); Greenland Sea; Impagidinium pallidum; Intercore correlation; Nematosphaeropsis labyrinthus; Operculodinium centrocarpum; Paleoenvironmental Reconstructions from Marine Sediments @ AWI; Polarstern; PS13 GRÖKORT; PS1730-1; PS1730-2; SL; Spiniferites elongatus; Spiniferites spp.
    Type: Dataset
    Format: text/tab-separated-values, 176 data points
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  • 8
    facet.materialart.
    Unknown
    PANGAEA
    In:  Supplement to: Hass, H Christian; Andruleit, Harald; Baumann, Astrid; Baumann, Karl-Heinz; Kohly, Alexander; Jensen, Stefan; Matthiessen, Jens; Samtleben, Christian; Schäfer, Priska; Schröder-Ritzrau, Andrea; Thiede, Jörn (2001): The potential of synoptic plankton analyses for paleoclimatic investigations: five plankton groups from the Holocene nordic seas. In: Schäfer, W; Ritzrau, M; Schlüter & J. Thiede (eds.) The Northern North Atlantic: A Changing Environment, Springer Verlag, Berlin, 500 pp, 291-318, https://doi.org/10.1007/978-3-642-56876-3_18
    Publication Date: 2024-02-02
    Description: Five plankton groups, including diatoms, radiolarians, coccolithophores, foraminifers, and dinoflagellate cysts, were synoptically analyzed in six sediment cores and two sediment traps from the Norwegian-Greenland Sea and the North Atlantic in order to provide more detailed insights into the paleoclimatic and paleoceanographic evolution and the development of plankton assemblages of the northern North Atlantic during the last 15,000 years. Based on Q-mode factor analyses, cold, warm, transitional, and relict assemblages were calculated for each of the plankton groups. Data from the different plankton groups complement one another, although they are not always consistent. However, the multiple plankton-group data set is able to bridge intervals in which single groups lack preservation or the ability to react to changes. Synoptically interpreted, the results provide a detailed picture of the response of plankton assemblages to environmental changes during the time period investigated, which includes the B0lling/Aller0d interstadial, the Younger Dryas cold spell, Termination IB, and, in all likelihood, also the "8,200 Event", and the Hypsithermal (approximately 8-4 14C ky BP).
    Keywords: Age, 14C AMS; Age, dated; Age, dated standard deviation; Arctic Ocean; calibrated; DEPTH, sediment/rock; Event label; Giant box corer; GIK23071-3; GIK23259-2; GIK23400-3; GIK23411-5; GIK23414-6; GIK23424-3; GKG; Global Environmental Change: The Northern North Atlantic; KAL; Kasten corer; KOL; M17/1; M17/2; M2/2; M21/4; M23414; M7/2; Meteor (1986); Norwegian-Greenland Sea; Norwegian Sea; Piston corer (Kiel type); Reference/source; Reservoir effect/correction; SFB313
    Type: Dataset
    Format: text/tab-separated-values, 135 data points
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  • 9
    Publication Date: 2021-03-29
    Description: Dinoflagellate cysts, paleoceanography, paleoenvironment, Late Quaternary, Norwegian-Greenland Sea. - Dinoflagellate cysts have been investigated in nine short sediment cores as well as two long sediment cores from the Norwegian-Greenland Sea and the North Atlantic to reconstruct the surface water paleoenvironment of the last climatic cycle and the Holocene. Holocene sea-surface temperatures and salinities during summer and winter and the extent of sea-ice cover were reconstructed. On the Rockall Plateau, higher cyst concentrations indicating favourable conditions and increased productivity only occur during parts of stage 5, 4-2, and the Holocene. Only sparse occurrences of dinocysts have been observed in the Norwegian-Greenland Sea before 10000 yr BP. Later, high abundances of O. centrocarpum and N. labyrinthus indicate the increased inflow of relatively warm Atlantic. A change in dominance of these species as well as a distinct increase in cyst concentrations marks the onset of the recent circulation system. In the Norwegian Sea, O. centrocarpum dominates the assemblages since about 7000 yr BP, while assemblages in the Iceland and the Greenland Sea are more complex due to the influence of different surface currents.
    Description: thesis
    Keywords: 560
    Language: German
    Type: monograph , publishedVersion
    Format: application/pdf
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