termiz davlat universiteti
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Scroll down 👇![олий таълим тизимида амалга оширилган ишлар ва ислоҳотлар termiz davlat universiteti axborot texnologiyalar fakulteti amaliy matematika kafedrasi mavzu:grafik chizish uchun dasturiy vositalar. fan : kompyuterli matematik tizimlar fan o’qituvchi : aliyev j.e. reja. 1. ikki o’lchovli grafika. 2. uch o’lchovli grafika. 3. fazoviy egri chiziqlar grafigi. 4. misollar kalit so’zlar: maple dasturida grafika, ikki o’lchovli grafika, uch o’lchovli grafika, sirt grafikasi, animatsiya maple muxitining grafik imkoniyatlari. maple da grafiklar yasash. n komandalar grafigi chiziladigan funksiya 1 plot(f(x),x=a..b, y=c..d, parametrs) f(x),x=a..b, y=c..d 2 plot([y=y(t),x=x(t),t=a..b], parametrs) y=y(t),x=x(t),t=a..b 3 implicitplot(f(x,y)=0, x=x1..x2, y=y1..y2) f(x,y)=0, x=x1..x2, y=y1..y2 4 implicitplot(f(x,y)=0,g(x,y)=0, x=x1..x2, y=y1..y2) f(x,y)=0,g(x,y)=0, x=x1..x2, y=y1..y2) 5 inequals({f1(x,y)>c1,…,fn(x,y)>cn}, x=x1…x2, y=y1..y2, options). f1(x,y)>c1,…,fn(x,y)>cn 6 plot3d(f(x,y), x=x1…x2, y=y1…y2, options) f(x,y), x=x1…x2, y=y1…y2 7 plot3d([x(u,v), y(u,v), z(u,v)], u=u1..u2, v=v1..v2) x(u,v), y(u,v), z(u,v), u=u1..u2, v=v1..v2 8 implicitplot3d(f(x,y,z)=c, x=x1..x2, y=y1..y2, z=z1..z2); f(x,y,z)=c, x=x1..x2, y=y1..y2, z=z1..z2 9 spacecurve([x(t),y(t),z(t)],t=t1..t2) x(t),y(t),z(t)],t=t1..t2 10 animate ,animate3d animatsiya yaratish differensial tenglamalarni matematik paketlar bilan sonli yechish maple da …](/media/previews/pages/preview_GL8RRhp.webp "termiz davlat universiteti - Page 1")
![.b], parameters). ikki o‘lchovli grafiklar parametrlar № parametr ma’nosi 1 title=”text” tasvirga nom berish, nom lotincha bo‘lsa probelsiz 2 coоrds=polar qutb koordinatlariga o‘tish, yozilmasa dekart k.s. 3 axes=normal axes=boxed axes=frame axes=none -oddiy o‘qlar \\ koordinata o‘qlarini berish -shkalali o‘qlar -o‘qlarning boshi quyi chap burchakda -o‘qlar yo‘q 4 asaling=constrined asaling=unconstrined -o‘qlarga bir xil masshtab berish - o‘qlar masshtabi oyna o‘lchamiga mos 5 style=line style=point -chiziqlar bilan chiqarish -nuqtalar bilan chivarish 6 numpoints=n (n=49 berilmasa) -hisoblanadigan nuqtalar soni 7 color=rang nomi (yellow,...) -chiziqlarga rang berish 8 xticmarks=nx, yticmarks=ny ox va ou o‘qlarda nuqtalar sonini berish 9 thickness=n, n=1,2,… -chiziq qalinligini berish 10 linestyle=n (n=1-uzluksiz) -chiziq tipini berish, uzluksiz, punktir 11 symbol=s (box, cross, circle, point,diamond) - nuqtani beradigan simvol tipini berish 12 font=[f,style, size] matn shrifti tipini berish, f-shrift nomi: times, courier, helvitica, symbol; style- shrift stili: bold, italic, underline; size-shrift o‘lchami 13 labels=[tx,ty] ox ga tx, oy ga ty deb yozishga …](/media/previews/pages/preview_Mf6wbaE.webp "termiz davlat universiteti - Page 2")
![luded=(color=yellow) – tashqi soha rangini o’rnatadi; optionsopen(color=blue, thickness=2) – ochiq chegara chizig’ining qalinligi va rangini o’rnatadi; optionsclosed(color=green,thickness=3) – yopiq chegara chizig’ining qalinligi va rangini o’rnatadi; sirtni chizish.oshkor ko‘rinishda berilgan sirtni chizish z=f(x,y) oshkor ko‘rinishda berilgan sirtni chizish uchun plot3d(f(x,y), x=x1…x2, y=y1…y2, options) komandasi ishlatiladi. parametrlarning ma’nolari quyidagicha: № parametr nomi ma’nosi 1 x=x1…x2, y=y1…y2 grafik chizilayotgan soha 2 light=[angl1, angl2, c1, c2, c3] (angl1, angl2)-nuqtaning sferik koordinatalari, bu nuqtadan ranglari (c1, c2, c3) ga teng bo‘lgan yorug‘lik nuri tovlanadi 3 style=opt chizmaning stilini beradi, point –nuqta uchun, line – chiziq uchun, hidden – chiziqlari o‘chirilgan to‘r uchun, patch – to‘ldiruvchi, wireframe – chiziqlari ko‘rinmas to‘rni chiqarish, contour – sirtning o‘zgarmas qiymatlari sohasi, patchcontour –to‘ldiruvchi va sirtning o‘zgarmas qiymatlari sohasini berish. 4 shading=opt to‘ldiruvchining intensivlik funksiyasini beradi, uning qiymati odatda xyz ga teng 5 none bo‘yalmagan sirtni berish uch o’lchovli grafika. animatsiya. aniq ko’rinishdagi funksiya bilan berilgan sirt grafigi. z = …](/media/previews/pages/preview_Y0mzNOa.webp "termiz davlat universiteti - Page 3")
![lgan sirtni chizish parametrli x=x(u,v), y=y(u,v), z=z(u,v) ko‘rinishda berilgan sirtni chizish uchun quyidagi komanda mavjud: plot3d([x(u,v), y(u,v), z(u,v)], u=u1..u2, v=v1..v2); daraja chizig’i bilan sirtni hosil qiling: plot3d(1/(x^2+y^2)+0.2/((x+1.2)^2+(y-1.5)^2)+ 0.3/((x-0.9)^2+(y+1.1)^2), x=-2..2, y=-2..2.5, view=[-2..2, -2..2.5, 0..6], grid=[60,60], shading=none, light=[100,30,1,1,1], axes=none, orientation=[65,20], style=patchcontour); oshkormas ko‘rinishda berilgan sirtni chizish. oshkormas f(x,y,z)=c ko‘rinishda berilgan sirtni chizish uchun plot paketiga qarashli quyidagi komanda mavjud: implicitplot3d(f(x,y,z)=c, x=x1..x2, y=y1..y2, z=z1..z2); 3. x2 + y2 +z2 = 4 sharni hosil qiling with(plots); implicitplot3d(x^2+y^2+z^2 = 4, x = -2 .. 2, y = -2 .. 2, z = -2 .. 2, scaling = constrained) fazoviy chiziqlarni chizish fazoviy x=x(t), y-y(t), z-z(t), t1 spacecurve([x(t),y(t),z(t)],t=t1..t2); fazoviy egri chiziqni hosil qiling: x = sint, y = cost, z = et. >with(plots): > spacecurve([sin(t),cos(t),exp(t)], t=1..5, color=blue, thickness=2, axes=boxed); animatsiya maple da animate ( ikki o‘lchovli) animate3d (uch o‘lchovli ) komandalari yordamida tasvirlarni harakatlantirish mumkin. animatsiyani yaratish komandalarning kontekst menyulari orqali amalga oshiriladi. maple muhitida animate …](/media/previews/pages/preview_vyohDOQ.webp "termiz davlat universiteti - Page 4")
![mate3d(cos(t*x)*sin(t*y), x = -pi .. pi, y = -pi .. pi, t = 1 .. 2) animate3d(x*cos(t*u), x = 1 .. 3, t = 1 .. 4, u = 2 .. 4, coords = spherical) animate3d(1.3^x*sin(u*y), x = -1 .. 2*pi, y = 0 .. pi, u = 1 .. 8, coords = spherical) > with(plots): > eq:=x^2/16+y^2/4=1: > el:=implicitplot(eq, x=-4..4, y=-2..2, scaling=constrained, color=green, thickness=3): > as:=plot([4*cos(t)^3,2*sin(t)^3, t=0..2*pi], color=blue, scaling=constrained, thickness=2): > eq1:=convert(eq,string): > t1:=textplot([1.5,2.5,eq1], font=[times, italic, 10], align=right): > t2:=textplot([0.2,2.5,"ellips:"], font=[times, bold,10], align=right): > t3:=textplot([1.8,0.4,astroida], font=[times, bold,10], align=left): > display([as,el,t1,t2,t3]); astroida ellips bitta grafikda chizilsin. chizmalarga astroida va ellips deb nomlar berilsin. sinov uchun savollar 1. funksiyalar grafigi tekislikda qanday hosil qilinadi? 2. plot buyrug’ining asosiy parametrlarini aytib bering. 3. fazoda funksiyalar grafigi qanday hosil qilinadi? 4. plot3d buyrug’ining asosiy parametrlarini ayting. 5. qutb koordinatasida funksiyalar grafigi qanday chiziladi? 6. harakatlanayotgan obyekt qanday hosil qilinadi?. 7. bir vaqtda bir …](/media/previews/pages/preview_dRcobab.webp "termiz davlat universiteti - Page 5")
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олий таълим тизимида амалга оширилган ишлар ва ислоҳотлар termiz davlat universiteti axborot texnologiyalar fakulteti amaliy matematika kafedrasi mavzu:grafik chizish uchun dasturiy vositalar. fan : kompyuterli matematik tizimlar fan o’qituvchi : aliyev j.e. reja. 1. ikki o’lchovli grafika. 2. uch o’lchovli grafika. 3. fazoviy egri chiziqlar grafigi. 4. misollar kalit so’zlar: maple dasturida grafika, ikki o’lchovli grafika, uch o’lchovli grafika, sirt grafikasi, animatsiya maple muxitining grafik imkoniyatlari. maple da grafiklar yasash. n komandalar grafigi chiziladigan funksiya 1 plot(f(x),x=a..b, y=c..d, parametrs) f(x),x=a..b, y=c..d 2 plot([y=y(t),x=x(t),t=a..b], parametrs) y=y(t),x=x(t),t=a..b 3 implicitplot(f(x,y)=0, x=x1..x2, y=y1..y2) f(x,y)=0, x=x1..x2, y=y1..y2 4 implicitplot(f...
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