The Einstein-Brazil Fogarty: A decade of synergy

Joshua D Nosanchuk1, Murphy D Nosanchuk1, Marcio L Rodrigues2

  • 1Departments of Medicine, Microbiology & Immunology, Albert Einstein College of Medicine, Bronx, NY, EUA.

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Theorem of Pappus01:24

Theorem of Pappus

The Theorem of Pappus, also known as the Pappus–Guldinus Theorem, provides a geometric method for determining the volume and surface area of solids generated by the revolution of a plane region or a plane curve about an external axis. The theorem consists of two related statements. The first addresses the volume of solids formed by rotating plane areas, while the second addresses the surface area generated by rotating plane curves. Both results depend on the location of the centroid,...
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Divergence and Stokes' Theorems01:06

Divergence and Stokes' Theorems

The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...
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Theorems of Pappus and Guldinus01:10

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Second Uniqueness Theorem01:16

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Moment-Area Theorems01:17

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