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Mathematica График байгуулах.pptx
1.
МУИС ФТ-ийн лаборант
М.Алтансүх 2021 График байгуулах
2.
Mathematica нь физик
болон математик тооцоо хийхээс гадна 2 болон 3 хэмжээст график дүрслэл байгуулах хэд хэдэн функцыг хэрэглэгчид санал болгодог.
3.
2D - 2
хэмжээс 2 хэмжээлст зурахын тулд Plot командыг ашиглана. Ж.нь: Тэгш өнцөгт координатын хавтгай дээр 𝑥2 муруйг -1-ээс 1-ийн хооронд байрлуулъя.
4.
2D - 2
хэмжээс Ж.нь: Тэгш өнцөгт координатын хавтгай дээр 𝑥, 𝑥2 , 𝑥3 , 𝑥4 гэсэн хэд хэдэн муруйг -1-ээс 1-ийн хооронд байрлуулъя.
5.
2D - 2
хэмжээс Ж.нь: Тэгш өнцөгт координатын хавтгай дээр хэд хэдэн графикийг нөгөөгөөс нь ялгахын тулд PlotStyle командыг ашиглана. P ба S нь том үсгээр бичигдэнэ.
6.
2D - 2
хэмжээс Ж.нь: Тэгш өнцөгт координатын хавтгай дээр sin 𝑥 ∗ cos(10𝑥) функцыг 0-оос 2𝜋-ийн хооронд байрлуулъя.
7.
2D - 2
хэмжээс Дүүргэлт хийхийн тулд Filling командыг ашиглана.
8.
2D - 2
хэмжээс Өгөгдлийн массиваас график зурахын тулд ListPlot командыг ашиглана. Эхлээд массив үүсгэе.
9.
2D - 2
хэмжээс Ж.нь: 2D параметрт муруй зурахын тулд ParametricPlot командыг ашиглана.
10.
2D - 2
хэмжээс PlotStyle, AxesStyle, Background командыг ашиглая.
11.
3D - 3
хэмжээс Ж.нь: 2 хувьсагчийн график (гадаргуу) зурахын тулд Plot3D командыг ашиглана.
12.
3D - 3
хэмжээс Дүүргэлт хийхийн тулд Filling командыг ашиглана.
13.
3D - 3
хэмжээс Гадаргуугийн топограф зурахын тулд ContourPlot командыг ашиглана.
14.
3D - 3
хэмжээс Гадаргуугийн нягтын түгэлтийг зурахын тулд DensityPlot командыг ашиглана.
15.
3D - 3
хэмжээс Ж.нь: 3D параметрт муруй зурахын тулд ParametricPlot3D командыг ашиглана.
16.
3D - 3
хэмжээс Ж.нь: 3D параметрт гадаргуу зурсан нь:
17.
3D - 3
хэмжээс Ж.нь: хоёр 3D параметрт гадаргууг давхар зурсан нь:
18.
3D - 3
хэмжээс Ж.нь: Бөмбөрцөг зурахын тулд SphericalPlot3D командыг ашиглана.
19.
Хөдөлгөөнт дүрс нь
статик дэлгэцээс илүү их мэдээллийг дамжуулж чаддаг. Хөдөлгөөнт дүрстэй харьцахын тулд Animate ба ListAnimate комманд ашиглана.
20.
Хөдөлгөөнт зурагтай ажиллах
өөр олон арга байдаг бөгөөд үүнд Manipulate, Dynamic гэх мэт интерфэйсийг бүтээх хэрэгслүүд, эсвэл Import болон Export гэх мэт файлуудыг удирдах хэрэгслүүд ашиглагддаг.
21.
Тоон аргаар бодох 𝑦′ 𝑥
= 𝑦 𝑥 cos(𝑥 + 𝑦 𝑥 , 𝑦 0 = 1, 𝑥[0, 30] гэсэн дифференциал тэгшитгэлийг авч үзье. Энэ тэгшитгэл бол шугаман бус дифференциал тэгшитгэл юм. Учир нь тэгшитгэлийн үл мэдэгдэгч y(x) нь cos функцын аргументад орсон байна. Ийм тэгшитгэлийг тоон аргаар бодуулахдаа NDSolve[ ] функцыг ашиглана.
22.
1. Б.Алтанхүү, 2008
Mathematica програмтай анхлан танилцах 2. https://www.wolfram.com/language/fast-introduction-for-math- students/en/entering-input/ 3. https://reference.wolfram.com/language/ref/Plot.html 4. http://www.bu.edu/tech/research/training/tutorials/list/ 5. Mathematica for Windows 10 Help.
23.
Анхаарал тавьсанд баярлалаа