Быстрое введение в систему Mathematica. Ч.2: Методические указания по спецкурсу ''Системы компьютерной математики''

Fbgbkl_jkl\h h[s_]h b ijhn_kkbhgZevgh]h h[jZah\Zgby Jhkkbckdhc N_^_jZpbb @= 5.5 +- lh`_ qlh 3OXV>5/5@ -, Out[]=4 In[]:=2^3 (* lh`_ qlh Power[2,3] *) Out[]=8 ,Q>@= ([SDQG>6LQ>[@A5@ +- jZkdjulv kl_i_gv \ \ujZ`_gbb -, Out[]=Sin[x]^2 DZ`^Zy dhfZg^Z bf__l hij_^_ezgguc gZ[hj Zljb[mlh\/ dhlhju_ bkihevamxlky ijb ijh]jZffbjh\Zgbb/ b fh`_l bf_lv gZ[hj hipbc1 Hipbb \ebyxl gZ j_amevlZl \uiheg_gby dhfZg^u/ jZaebqgu_ mklZgh\db hipbb fh]ml ^Zlv kh\_jr_ggh jZagu_ j_amevlZlu= In[]:=Expand[Sin[x]^2 , Trig->True] (* jZkdjulv kl_i_gv \ \ujZ`_gbb/ bkihevamy nhjfmem Wce_jZ -, Out[]=1/2 - Cos[2*x]/2 In[]:=DSolve[y'[x]==2a x, y[x], x, DSolveConstants -> K] (* hipby DSolveConstants DSolve dhfZg^u hij_^_ey_l h[hagZq_gb_ ^ey dhgklZglu bgl_]jbjh\Zgby *) Out[]={{y[x] -> a*x^2 + K[1]}} Hipby \k_]^Z bf__l agZq_gb_ ih mfheqZgbx/ dhlhjh_ hij_^_ey_l ^_ckl\b_ dhfZg^u ih mfheqZgbx +gZijbf_j/ hipby 7ULJ bf__l agZq_gb_ ih mfheqZgbx )DOVH \ dhfZg^_ ([SDQG/ Z hipby '6ROYH&RQVWDQWV bf__l agZq_gb_ ih mfheqZgbx & \ dhfZg^_ 'VROYH,1

gZ kZfhf ^_e_ \u^Zzl gZ[hj ]jZnbq_kdbo ijbfblb\h\= In[]:=InputForm[%] Out[]=Graphics[{PointSize[0.02], {Point[{1, 1}], Point[{2, 4}], Point[{3, 9}], Point[{4, 16}], Point[{5,25}], Point[{6, 36}], Point[{7,

5
kibkhd@ 0 \ky ^\mf_jgZy ]jZnbdZ +ijhba\h^blky dhfZg^Zfb 3ORW/ /LVW3RW/ 3DUDPHWULF3ORW, 'HQVLW\*UDSKLFV>kibkhd@ 0 ]jZnbd iehlghklb +ijhba\h^blky dhfZg^Zfb 'HQVLW\3ORW/ /LVW'HQVLW\3ORW, &RQWRXU*UDSKLFV>kibkhd@ 0 dhglmjguc ]jZnbd +ijhba\h^blky dhfZg^Zfb &RQWRXU3ORW/ /LVW&RQWRXU3ORW, 6XUIDFH*UDSKLFV>kibkhd@ 0 ljzof_jgZy ih\_joghklv +ijhba\h^blky dhfZg^Zfb 3ORW6'/ /LVW3ORW6', *UDSKLFV6'>kibkhd@ 0 \ky ljzof_jgZy ]jZnbdZ +ijhba\h^blky dhfZg^hc 3DUHPHWULF3ORW6', *UDSKLFV$UUD\>kibkhd@ 0 fZkkb\ jZaguo ]jZnbq_kdbo h[t_dlh\ H[t_dl ex[h]h lbiZ fh`_l [ulv ij_h[jZah\Zg \ ^\mf_jgmx ]jZnbdm k ihfhsvx dhfZg^u *UDSKLFV1 H[t_dl lbiZ 6XUIDFH*UDSKLFV fh`_l [ulv ij_h[jZah\Zg \ h[t_dl lbiZ *UDSKLFV6' k ihfhsvx dhfZg^u *UDSKLFV6'1 Ihkdhevdm h[t_dlu lbih\ 'HQVLW\*UDSKLFV/ &RQWRXU*UDSKLFV b 6XUIDFH*UDSKLFV \k_ \dexqZxl kibkhd agZq_gbc nmgdpbb gZ k_ld_/ lh hgb ij_h[jZamxlky ^jm] \ ^jm]Z1 >jm]b_ ij_h[jZah\Zgby/ ih0\b^bfhfm/ aZij_s_gu1 DhfZg^Z 6KRZ jbkm_l ]jZnbq_kdb_ h[t_dlu gZ wdjZg_1 DhfZg^Z 6KRZ fh`_l jbkh\Zlv g_kdhevdh ]jZnbq_kdbo h[t_dlh\ h^gh\j_f_ggh/ gh wlb h[t_dlu ^he`gu [ulv h^gh]h lbiZ1 K ^Zgguf gZ[hjhf ]jZnbq_kdbo ijbfblb\h\ \u fh`_l_ fh^bnbpbjh\Zlv hdhgqZl_evgh_ ]jZnbq_kdh_ bah[jZ`_gb_ ^\mfy kihkh[Zfb=

63

3/3/4@ ^_ckl\m_l lhevdh gZ ijbfblb\u \ kibkd_ lhqdb SRLQWV6,1 True] Out[]= Ijb wlhf bgl_j_kgh/ qlh kZfZ dhfZg^Z 6KRZ g_ bf__l \kljh_gguo hipbc/ gh hgZ bkihevam_l hipbb lh]h ]jZnbq_kdh]h h[t_dlZ/ dhlhjuc hgZ bah[jZ`Z_l1 GZijbf_j/ \ ij_^u^ms_f ijbf_j_ 6KRZ bkihevam_l hipbx )UDPH ]jZnbdb lbiZ *UDSKLFV1

64

Ebl_jZlmjZ 41 :ROIUDP 61 ³0DWKHPDWLFD´ $ V\VWHP IRU 'RLQJ 0DWKHPDWLFV E\ &RPSXWHU1011