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Surfaces of revolution are formed when a two-dimensional curve is rotated around an axis, producing a three-dimensional shape. This concept is used in engineering tasks like determining the surface area of a rocket nozzle, where precise calculations are critical for applying uniform heat-resistant coatings. When a curve is revolved about the x-axis, it sweeps out a continuous surface whose area must be calculated accurately to estimate material requirements.Approximating with Conical BandsTo...
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Volumes of irregularly shaped objects can be systematically determined using the concept of solids of revolution. This approach begins with a region defined by a curve in a two-dimensional plane. When this region is rotated about a fixed line, known as the axis of revolution, it generates a three-dimensional object with rotational symmetry. Such objects frequently arise in mathematical modeling, physics, and engineering applications.When the region being rotated lies directly against the axis...
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The paraboloid of revolution is an axially symmetric surface generated by rotating a parabola around its axis. This shape has several applications in mechanical engineering due to its advantageous structural properties, such as strength against stress concentration points and rotational symmetry.
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A mycorrhizal revolution.

Grace A Hoysted1, Jill Kowal2, Alison Jacob3

  • 1Centre for Plant Sciences, Faculty of Biological Sciences, University of Leeds, Leeds LS2 9JT, UK.

Current Opinion in Plant Biology
|January 1, 2018
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Summary

Symbiotic fungi were crucial for early land plants, aiding nutrient uptake and carbon exchange. This study explores these ancient partnerships and their impact on terrestrial ecosystems.

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Area of Science:

  • Ecology
  • Evolutionary Biology
  • Mycology

Background:

  • Plant-fungal symbioses are ancient and vital for terrestrial ecosystems.
  • Fungi likely facilitated early plant colonization of land by enhancing nutrient acquisition.
  • Atmospheric CO2 levels may have influenced early plant-fungal interactions.

Purpose of the Study:

  • To evaluate current knowledge and identify gaps in understanding early plant-fungal partnerships.
  • To integrate recent discoveries of fungal mutualists with evolutionary and ecological perspectives.
  • To assess the role of plant-fungal symbioses in the evolution of the terrestrial biosphere.

Main Methods:

  • Literature review and synthesis of current research on plant-fungal symbioses.
  • Analysis of fossil evidence and phylogenetic data for early land plants and fungi.
  • Evaluation of experimental data on nutrient exchange and carbon fixation in symbiotic relationships.

Main Results:

  • A diverse range of fungal associates were available to early land plants.
  • Early plant-fungal partnerships were likely influenced by fluctuating atmospheric CO2 concentrations.
  • Newly discovered fungal mutualists offer insights into the evolution of land plant-fungal symbioses.

Conclusions:

  • Symbiotic fungi played a pivotal role in the terrestrialization of plants.
  • Understanding these ancient symbioses is key to comprehending the evolution of land ecosystems.
  • Further research is needed to fully elucidate the ecological and evolutionary significance of plant-fungal interactions.