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Parabola (with "mirror")
Shows roots and graph (template).
2024.Nov.25 06:54:30
a, b, c Coefficients, in a x² + b x + c
xLow., xUpp. Range for x.
Show values Show graph coordinates.

For a quadratic, computes its roots (real or [conjugate] complex) and plots the parabola as well as its "mirror" parabola.

Is there a simple way to "see" the complex roots from the real roots of the other parabola ?

Computation structure — A PHP file (this page: 'Fx-parabolamir.php') calls (via 'action=') an intermediate PHP file ('Parabolamir.php'), which (through $_POST and 'shell_exec') sends the problem data as command line arguments to a Fortran 90 executable (exe). This last does the computing (exe all‑the‑data), and makes 'system' call(s) to 'gnuplot' and 'base64', for the final (temporary) webpage. Keywords: PHP, command line arguments, Fortran executable, gnuplot. (No intermediate data file.)

Draws a graph of the parabolas. This is essentially a template.

Alternatively, try: c = 5.

References: Plate: TwinParabolas

• (Wikipedia) PHP (from Personal Home Page).

• (Wikipedia) Fortran (Fortran 90). • (Wikipedia) gnuplot.

• CISTI'2023, 18.ª Conferência Ibérica de Sistemas e Tecnologias de Informação (18.th Iberian Conference on Information Systems and Technologies), Aveiro (Portugal), 20–23 June 2023.

• 1717-11-17: D'Alembert, Jean Le Rond (†1783-10-29, 65 yrs.).

 
 
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Created: 2022-11-17 — Last modified: 2022-12-18