{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Title" -1 18 1 {CSTYLE "" -1 -1 "Times " 1 18 0 0 0 1 2 1 1 2 2 2 1 1 1 1 }3 1 0 0 12 12 1 0 1 0 2 2 19 1 }} {SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 29 "Fourierova \370ada na int ervalu " }{XPPEDIT 18 0 "`<,>`(alpha,beta);" "6#-%$<,>G6$%&alphaG6#%%b etaG" }{TEXT -1 1 "," }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 16 "Pokud je \+ N lich\351" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 114 " unapply(a[0]/2+sum(a[i]*cos(2*i*Pi*(x-alpha)/(beta -alpha))+b[i]*sin(2*i*Pi*(x-alpha)/(beta-alpha)),i=1..N-1),x);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#j+6#%\"xG6\"6$%)operatorG%&arrowGF&,&* &#\"\"\"\"\"#F-&%\"aG6#\"\"!F-F--%$sumG6$,&*&&F06#%\"iGF--%$cosG6#,$*, F.F-F:F-%#PiGF-,&9$F-%&alphaG!\"\"F-,&%%betaGF-FCFDFDF-F-F-*&&%\"bGF9F --%$sinGF=F-F-/F:;F-,&%\"NGF-F-FDF-F&F&F&6#\"+@fE8?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "\n\n" }{TEXT -1 15 "Pokud je N sud\351" } {MPLTEXT 1 0 156 " unapply(a[0]/2+sum(a[i]*cos(2*i*Pi*(x-alpha)/(beta /alpha))+b[i]*sin(2*i*Pi*(x-alpha)/(beta-alpha)),i=1..N-1)+a[N]*cos(N* 2*Pi*(x-alpha)/(beta-alpha)),x);\n;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #j+6#%\"xG6\"6$%)operatorG%&arrowGF&,(*&#\"\"\"\"\"#F-&%\"aG6#\"\"!F-F --%$sumG6$,&*&&F06#%\"iGF--%$cosG6#,$*.F.F-F:F-%#PiGF-,&9$F-%&alphaG! \"\"F-%%betaGFDFCF-F-F-F-*&&%\"bGF9F--%$sinG6#,$*,F.F-F:F-F@F-FAF-,&FE F-FCFDFDF-F-F-/F:;F-,&%\"NGF-F-FDF-*&&F06#FRF--F<6#,$*,F.F-FRF-F@F-FAF -FNFDF-F-F-F&F&F&6#\"+@fE8?" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 3 "kde " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 169 "a[i]:=(2/(beta-alpha)* (Int(f(x)*cos(2*i*Pi*(x-alpha)/(beta-alpha)),x=alpha..beta)));\nb[i]:= (2/(beta-alpha)*(Int(f(x)*sin(2*i*Pi*(x-alpha)/(beta-alpha)),x=alpha.. beta)));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"aG6#%\"iG,$,$-%$IntG6 $*&-%\"fG6#%\"xG\"\"\"-%$cosG6#,$*,\"\"#F2F'F2%#PiGF2,&F1F2%&alphaG!\" \"F2,&%%betaGF2F;F*&F8F2F=F&%\"bG6#%\"iG,$,$-%$IntG6$*&-%\"fG6#%\"xG\"\"\"-%$sinG 6#,$*,\"\"#F2F'F2%#PiGF2,&F1F2%&alphaG!\"\"F2,&%%betaGF2F;F*&F8F2F=F " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 111 "alpha:='alpha';\nsimplify(int(cos(2*Pi*(x-alpha)/( beta-alpha))*cos(2*Pi*(x-alpha)/(beta-alpha)),x=alpha..beta));" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%&alphaGF$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&\"\"#!\"\"%&alphaG \"\"\"F&*&F%F&%%betaGF(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "8 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }