In closing, I would like to thank two people who assisted me in writing this paper. First, I thank my brother, Matt Black, who spent several hours helping me visualize the surface area problem and suggested tipping the triangle onto the plane to derive the formulas. Second, I thank Dr. Guthrie who helped me wrestle with an attempt to integrate the spherical triangle region. Though we were unsuccessful in finding the surface area this way his help on the use of the vectors was much appreciated. ]]>

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and , and hence the equilibrium point is an attractor if and a repeller if where .

The eigenvalues of the Jacobian matrix are given by and DESCARTES that are used ,but marchel chirita , bruno boley , cabiria andreian cazacu ,ioan rosca prof not heard by this person ,or marlan o scully ,or other as polubarinova kochina

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