(Kiyoshi Kitahara) Department of Engineering, Kogakuin University (Takayuki Abe) (Masataka Kaneko) (Satoshi Yamashita) Departmen

Size: px

Start display at page:

Download "(Kiyoshi Kitahara) Department of Engineering, Kogakuin University (Takayuki Abe) (Masataka Kaneko) (Satoshi Yamashita) Departmen"

ゆずさももき
5 years ago
Views:

1 (Kiyoshi Kitahara) Department of Engineering, Kogakuin University (Takayuki Abe) (Masataka Kaneko) (Satoshi Yamashita) Department of Fundamental Research, Kisarazu National College of Technology (Setsuo Takato) Faculty of Pharmaceutical Sciences, Toho University 1,,,,,,,,,, $I\Phi r_{p}$]$c$ $Iqr_{P}ic$ $T\Phi^{\mathfrak{c}}$ (, CAS ),,, 2, 1, $Iqjr_{P}ic$ $Iqr_{P}ic$,, CAS,, 2, $Iqr_{P}ic$

2 133, 3 2, ,,,,, , ,, $I\Phi r_{p}ic$,,,,,,,, ( ),, ( ) ( $[$8,, $])$,, $\infty 2$ $\blacksquare 3$ $)$ $)$ $($% $($% $0$ 2-1

3 134, 2 3, 1, 2 3 2, 3, 2 3 3,,, 2 3,, 3, WinTpic 2-2, 2 3,, 3 3 2,, Tff 3 Tffl 3

4 $riex$, $T_{FX}$ 3 $\Phi^{\Gamma pic}$ 2,,, 3,, 4 $Iqr_{P}ic$,, 5 $I\Phi T$pic 3, 3 ( ),,, $a=02,$ $b=01$ $z=f(x, y)=01+x^{2}+y^{2}$, $Q(a, b, f(a, b))$ $z$ $z$ 3-1 $z=f(x,$ $y)$ 3-2 $z=f(x, y)$

5 136 2,,, $f_{x}(x, y)$ $f_{y}(x, y)$, $x=a(=02))y=b(=01)$, 3-2 $y=b$ K rpic sfcutoffparadata

6 , $I\Phi^{r_{P^{i_{C}}}}$ sfcutoffparadata, ( 3-10), $Q$

7 138,, 3-10 $Q$ 3-11, lcm, 10, $y=b$ PQ, PPl,, $P_{1}Q$ , , 2 $0$ ( 3-12), 3-13, $P_{1}Q$ $= \frac{0\cdot 15}{0375}=04$ 3-13 lmm, $f_{x}(a, b)$ ( ), $f_{y}(a, b)$, $x=a$,

8 139 $z$ $z$ 3-14 $x=a$ 3-15

9 140 4 $P_{2}Q$ 3-22 PQ, PP2,, $f_{y}(a, b)$ ( ) 2, 3 4, 5,, $x,$ $y$, $Q$ $y=b,$ $x=a$, $Q$ (1), (2), (3) $(xy$ $Q$ ) 3-24 $x$ $=dx$ 3-25 $y$ $=dy$ $Q_{1}R_{1}$ 3-24 $dx,$ $dy$ $Q_{2}R_{2}$ $f_{x}(a, b),$ $f_{y}(a, b)$

10 141 $dz$ 3-26, $dz$ ( 3-28 ) , $dz$ $f_{x}(a, b),$ $f_{y}(a, b),$ $dx,$ $dy$ 3-28 $dz$, 1

11 142 $3-29$ $1$ 1,,, 2, ,, $dz=f_{x}(a, b)dx+f_{y}(a, b)dy$ 4, 4 4 Al:, A2:, A3:, A4:

12 143 7, Al:, A2: 1, A3: 2, $A4$ : 3 152, 4-1 A5 4-1 $)$ 1 1, $(A1+A2$ ( 3 6 Al $+A2$ ),, 2 2,, $)$ $(A1+A2+A3$, 3 2, 3 4, 5 $x$ $y$, 2 Al $d_{z}$ 4 6 ($dy=0$ $dx=0$ ), 1 $(dy=f (x)d_{x})$, 5 7 3, 2 72% 2,

13 144,, 3, 3 6,, ( ), 5 [11],,,,, 2, 3,,, $\Phi^{Fpic}$,, 3,, $Iqr_{P}ic$,, 3, CAS,, K rpic, $C$ ( )

14 145 [1] Takato S, Akemi G, &Iglesias A: Use of ImplicitPlot in Drawing Surfaces Embedded in $I\#Tffi$ documents, 2009 International Conference on Computational Sciences and its Applications, IEEE, 2009 [2] Sekiguchi M, Abe T, Izumi H, Kaneko M, Kitahara K, Yamashita S, Fukazawa K, &Takato S: Monochrome Line Drawings of $3D$ Objects due to the Programmability of KETpic, 2008 International Conference on Computational Sciences and its Applications, pp , IEEE 2008 [3] Kaneko M, Abe T, Izumi H, Kitahara K, Sekiguchi M, Tadokoro Y, Yamashita S, Fukazawa K, &Takato S: A Simple Method of the TeX Surface Drawing Suitable for Teaching Materials with the Aid of CAS, Lecture Notes in Computer Science 5102, pp 35-45, Springer-Verlag 2008 [4] Kaneko M, Abe T, Fukazawa K, Sekiguchi M, Tadokoro Y, Yamashita S, Takato S: CAS-aided Visualization in Documents for Mathematical Education to $I4^{\ulcorner}Iffi$ appear in Teaching Mathematics and Computer Science, Vol VI, Issue II, 2008 [5],,,,,,, :,, Vol15, No 1, pp , 2008 [6] Abe T, Fukazawa K, Kaneko M, Kitahara K, Koshikawa H, Yamashita S, & Takato S: Migration of KETpic to Scilab and Comparison of Scilab with other CASs,, 16, pp-, 2009 [7],,,,,, : Scilab KETpic 2009, 2009 [8],,,,,,, :, 91, p543, 2009 [9],,,, : $KETpic$, 1624, pp1-10, 2009 [10], : $KETpic$ Maxima, 1624, pp37-44, 2009 [11], : KETpic, 1624, pp90-105, 2009

Title KETpicによる曲面描画と教育利用 ( 数式処理と教育教育における数式処理システムの効果的利用に関する研究 ) : 数学 Author(s) 金子, 真隆 ; 阿部, 孝之 ; 関口, 昌由 ; 山下, 哲 ; 高遠, Citation 数理解析研究所講究録 (2009), 1624:

Title KETpicによる曲面描画と教育利用 ( 数式処理と教育教育における数式処理システムの効果的利用に関する研究 ) : 数学 Author(s) 金子, 真隆 ; 阿部, 孝之 ; 関口, 昌由 ; 山下, 哲 ; 高遠, Citation 数理解析研究所講究録 (2009), 1624: 1-10 Issue Date 2009-01 URL http://hdl.handle.net/2433/140279