Journals / Turkish Journal of Mathematics and Computer Science / 2019 / Cilt: 11 - Sayı: -

Astrohelicoidal Hypersurfaces in 4-space

Pages
40–45
Publication Date
2022-11-03
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, projecting hypersurface into 3-spaces, we draw some figures.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We consider an astrohelicoidal hypersurface which its profile curve has astroid curve in the fourdimensional Euclidean space E4 .
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Key Findings & Data:We also calculate Gaussian curvature and the mean curvature, and Weingartenrelation of the hypersurface.
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Conclusion & Impact:Moreover, projecting hypersurface into 3-spaces, we draw some figures.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

We consider an astrohelicoidal hypersurface which its profile curve has astroid curve in the fourdimensional Euclidean space E4 . We also calculate Gaussian curvature and the mean curvature, and Weingartenrelation of the hypersurface. Moreover, projecting hypersurface into 3-spaces, we draw some figures.

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Cite This Article

Kişi, Ö., Güler, E. (2022). Astrohelicoidal Hypersurfaces in 4-space. Turkish Journal of Mathematics and Computer Science, Cilt: 11 - Sayı: -, 40–45. https://ajindex.com/articles/609124

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References (17)

  1. Addy, K., Green, L., Natural Resources Facts, Fact Sheet No.96-3, Dissolved Oxygen and Temperature, University of Rhodes Island, 1997
  2. Andersson, A., Haecky, P., Hagstrom, A., Effect of temperature and light on the growth of micro-nano-and pico-plankton: impact on algal succession, Marine Biology, 120(1994), 511–520
  3. Broecker, W.S., Peng, T.H., Tracers in The Sea, Lamont-Doherty Geological Observatory, Palisades, New York, 1982
  4. Childress, J.J., The respiratory rates of midwater crustaceans as a function of depth of occurrence and relation to the oxygen minimum layer of southern california, Comparative Biochemistry and Physiology Part A: Physiology, 50(1975), 787–799
  5. Costanza, R., d’Arge, et al., The value of the world’s ecosystem services and natural capital, 29(1998), 13–15
  6. Denman, K., Hofmann, E., Marchant, H., Marine biotic responses and feedbacks to environmental change and feedbacks to climate, in Climate Change 1995, The Science of Climate Change, edited by Houghton, J.T., et al., Cambridge University Press, 1996, 483–516
  7. Enquist, B.J., et al., Scaling metabolism from organisms to ecosystems, Nature, 423(2003), 639–642
  8. Eppley, R.W., Temperature and phytoplankton growth in the sea, Fish. Bull, 70(1972), 1063–1085
  9. Harris, G., Phytoplankton Ecology-Structure, Function and Fluctuation, Springer, 1986
  10. Hull, V., Mocenni, C., Falcucci, M., Marchettini, N., A trophodynamic model for the lagoon of fogliano (italy) with ecological dependent modifying parameters, Ecological Modelling, 134(2000), 153–167
  11. Hoppe, H.G., Gocke, K., Koppe, R., Begler, C., Bacterial growth and primary production along a north-south transect of the atlantic ocean, Nature, 416(2002), 168–171
  12. Jenkins, W.J., Oxygen utilization rates in North Atlantic subtropical gyre and primary production in oligotrophic systems, Nature, 300(5889)(1982), 246
  13. Jin, Z., Charlock, T.P., Smith, W.L., Rutledge, K., A parametrization of ocean surface albedo, Geophysical Research Letters, 31(2004)
  14. Li, W., Smith, J., Platt, T., Temperature response of photosynthetic capacity and carboxylase activity in arctic marine phytoplankton, Marine Ecology Progress Series, 17(1984), 237–243
  15. Moss, B.R., Ecology of Fresh Waters: Man and Medium, Past to Future, John Wiley & Sons, 2009
  16. Okubo, A., Okubo, A., Diffusion and Ecological Problems: Mathematical Models. Springer-Verlag Berlin, Vol.10, 1980
  17. Simpson, J.T., Volunteer Lake Monitoring: