bisectie_f5.mws

Metoda bisectiei - Simulare:  f5(x) = sin(x)+x-1 , intervalul initial [-2*Pi, 3*Pi]

In cazul procedurilor desen_bisectie, animatie_bisectie si animatie_bisectie1, listele afisate sunt listele mijoacelor c[n] ale intervalelor I[n] rezultate prin aplicarea metodei bisectiei.

In cazul procedurilor de desen_bisectie si animatie_desen_bisectie1, listele afisate sunt listele intervalelor I[n] rezultate prin aplicarea metodei bisectiei.

>    desen_bisectie(f5,-2*Pi,3*Pi,10^(-3));

[1/2*Pi, -3/4*Pi, -1/8*Pi, 3/16*Pi, 1/32*Pi, 7/64*Pi, 19/128*Pi, 43/256*Pi, 81/512*Pi, 167/1024*Pi, 329/2048*Pi, 663/4096*Pi, 1331/8192*Pi, 2667/16384*Pi, 5329/32768*Pi, 10663/65536*Pi]

[Maple Plot]

>    desen_bisectie1(f5,-2*Pi,3*Pi,10^(-3));

[-2*Pi, 3*Pi], [-2*Pi, 1/2*Pi], [-3/4*Pi, 1/2*Pi], [-1/8*Pi, 1/2*Pi], [-1/8*Pi, 3/16*Pi], [1/32*Pi, 3/16*Pi], [7/64*Pi, 3/16*Pi], [19/128*Pi, 3/16*Pi], [19/128*Pi, 43/256*Pi], [81/512*Pi, 43/256*Pi], [...
[-2*Pi, 3*Pi], [-2*Pi, 1/2*Pi], [-3/4*Pi, 1/2*Pi], [-1/8*Pi, 1/2*Pi], [-1/8*Pi, 3/16*Pi], [1/32*Pi, 3/16*Pi], [7/64*Pi, 3/16*Pi], [19/128*Pi, 3/16*Pi], [19/128*Pi, 43/256*Pi], [81/512*Pi, 43/256*Pi], [...

[Maple Plot]

>    animatie_bisectie(f5,-2*Pi,3*Pi,10^(-3),5);

[1/2*Pi, -3/4*Pi, -1/8*Pi, 3/16*Pi, 1/32*Pi, 7/64*Pi, 19/128*Pi, 43/256*Pi, 81/512*Pi, 167/1024*Pi, 329/2048*Pi, 663/4096*Pi, 1331/8192*Pi, 2667/16384*Pi, 5329/32768*Pi, 10663/65536*Pi]

[Maple Plot]

>    animatie_bisectie1(f5,-2*Pi,3*Pi,10^(-3),5);

[1/2*Pi, -3/4*Pi, -1/8*Pi, 3/16*Pi, 1/32*Pi, 7/64*Pi, 19/128*Pi, 43/256*Pi, 81/512*Pi, 167/1024*Pi, 329/2048*Pi, 663/4096*Pi, 1331/8192*Pi, 2667/16384*Pi, 5329/32768*Pi, 10663/65536*Pi]

[Maple Plot]

>    animatie_desen_bisectie1(f5,-2*Pi,3*Pi,10^(-3),5);

[-2*Pi, 3*Pi], [-2*Pi, 1/2*Pi], [-3/4*Pi, 1/2*Pi], [-1/8*Pi, 1/2*Pi], [-1/8*Pi, 3/16*Pi], [1/32*Pi, 3/16*Pi], [7/64*Pi, 3/16*Pi], [19/128*Pi, 3/16*Pi], [19/128*Pi, 43/256*Pi], [81/512*Pi, 43/256*Pi], [...
[-2*Pi, 3*Pi], [-2*Pi, 1/2*Pi], [-3/4*Pi, 1/2*Pi], [-1/8*Pi, 1/2*Pi], [-1/8*Pi, 3/16*Pi], [1/32*Pi, 3/16*Pi], [7/64*Pi, 3/16*Pi], [19/128*Pi, 3/16*Pi], [19/128*Pi, 43/256*Pi], [81/512*Pi, 43/256*Pi], [...

[Maple Plot]

Studenti: Marian-Silviu Talmacel,Oana-Adriana Basaraba, Cristian-Laurentiu Giorgi, Roxana-Elena Staniloiu (anul I, Ingineria Sistemelor)

Indrumator: conf. dr. Madalina Buneci

Universitatea Constatin Brāncusi din Tārgu-Jiu