How to Solve a Cubic Equation, Part 1: The Shape of the Discriminant

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http://doi.ieeecomputersociety.org/10.1109/MCG.2006.60

May/June 2006 (vol. 26 no. 3) pp. 84-93

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	ASCII Text	x
	James F. Blinn, "How to Solve a Cubic Equation, Part 1: The Shape of the Discriminant," IEEE Computer Graphics and Applications, vol. 26, no. 3, pp. 84-93, May/June, 2006.

	BibTex	x
	@article{ 10.1109/MCG.2006.60, author = {James F. Blinn}, title = {How to Solve a Cubic Equation, Part 1: The Shape of the Discriminant}, journal ={IEEE Computer Graphics and Applications}, volume = {26}, number = {3}, issn = {0272-1716}, year = {2006}, pages = {84-93}, doi = {http://doi.ieeecomputersociety.org/10.1109/MCG.2006.60}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - MGZN JO - IEEE Computer Graphics and Applications TI - How to Solve a Cubic Equation, Part 1: The Shape of the Discriminant IS - 3 SN - 0272-1716 SP84 EP93 EPD - 84-93 A1 - James F. Blinn, PY - 2006 KW - cubic equations VL - 26 JA - IEEE Computer Graphics and Applications ER -

James F. Blinn, Microsoft

Jim Blinn begins a discussion on solving cubic equations.

[1] 84 J.F. Blinn, Jim Blinn's Corner: Notation, Notation, Notation, Morgan Kauffman, 2003, p. 262.
[2] J.F. Blinn, Jim Blinn's Corner: Notation, Notation, Notation, Morgan Kauffman, 2003, p. 193.
[3] J.F. Blinn, Jim Blinn's Corner: Notation, Notation, Notation, Morgan Kauffman, 2003, p. 284.
[4] E.C. Zeeman, "The Umbilic Bracelet and the Double-Cusp Catastrophe," Structural Stability, the Theory of Catastrophes, and Applications in the Sciences, P. Hilton, ed., Lecture Notes in Mathematics, vol. 525, Springer Verlag, 1976, pp. 328–366.
[5] L. Ramshaw, Blossoming: A Connect-the-Dots Approach to Splines, tech. report 19, Digital Systems Research Center, pp. 50–55; http:/www.hpl.hp.com/ techreports/Compaq-DEC/SRC-RR-19.html.

Index Terms:

cubic equations

Citation:

James F. Blinn, "How to Solve a Cubic Equation, Part 1: The Shape of the Discriminant," IEEE Computer Graphics and Applications, vol. 26, no. 3, pp. 84-93, May/June 2006, doi:10.1109/MCG.2006.60

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