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/F4 1 Tf 0.8539 0 TD [(:=)-277.8(\()]TJ /F13 1 Tf 1.7223 0 TD ()Tj /F4 1 Tf 0.7708 0 TD (+)Tj /F13 1 Tf 0.9459 0 TD ( )Tj /F4 1 Tf 0.5834 0 TD (\))Tj /F13 1 Tf 0.3889 0 TD (/)Tj /F4 1 Tf 0.5 0 TD (\(3)Tj /F13 1 Tf 0.889 0 TD ()Tj /F4 1 Tf 0.7708 0 TD (+)Tj /F13 1 Tf 0.9459 0 TD ( )Tj /F4 1 Tf 0.5834 0 TD [(\),)-311.7(and)-306.4(2)]TJ /F15 1 Tf 3.6736 0 TD (\012)Tj /F13 1 Tf 1.0555 0 TD 0.2778 Tc (p<)Tj /F15 1 Tf 1.8365 0 TD 0 Tc ()Tj /F4 1 Tf 1 0 TD [(.)-435.4(I)0(n)-306.3(the)-306.3(sp)-27.8(ecial)-306.3(case)]TJ /F13 1 Tf 8.9497 0 TD (\015)Tj /F4 1 Tf 0.8539 0 TD [(=)-277.8(0)-306.3(\(see,)]TJ -29.188 -1.1872 TD [(e.g.,)-333.2([34]\))-333.3(the)-333.3(iden)27.8(tit)27.8(y)-333.3(\()-0.1(1.14\))-333.4(holds)-333.2(for)-333.3(all)]TJ /F13 1 Tf 18.2305 0 TD (p)Tj /F15 1 Tf 0.7809 0 TD ()Tj /F4 1 Tf 0.9445 0 TD (\(1)Tj /F13 1 Tf 0.8889 0 TD (,)Tj /F15 1 Tf 0.4445 0 TD ()Tj /F4 1 Tf 1 0 TD (\).)Tj -21.1933 -1.1872 TD [(In)-341.8(general,)-343.9(let)]TJ /F13 1 Tf 6.447 0 TD (K)Tj /F14 1 Tf 7.9701 0 0 7.9701 217.5522 535.7649 Tm (r)Tj /F4 1 Tf 10.9091 0 0 10.9091 225.8361 537.4008 Tm [(b)-27.8(e)-341.9(the)-341.8(double-la)27.9(y)27.8(e)0(r)-341.9(p)-27.7(oten)27.7(tial)-341.7(op)-27.8(erator)-341.8(\(1.9\))-341.8(asso)-27.8(ciated)]TJ -9.1516 -1.1872 TD [(to)-300.1(\(1.13\))-300.2(for)]TJ /F13 1 Tf 5.5421 0 TD (r)Tj /F15 1 Tf 0.7567 0 TD ()Tj /F4 1 Tf 0.9445 0 TD (\()Tj /F15 1 Tf 0.3889 0 TD ()Tj /F13 1 Tf 0.7778 0 TD [(,)-166.6()]TJ /F4 1 Tf 1.6495 0 TD [(\).)-433.5(A)-300.1(partial)-300(result)-300.1(in)-300.1(this)-300.2(setting)-300.1(is)-300.2(that)-300.1(\(see)-300.2([23])-300.1(and)]TJ -10.0595 -1.1872 TD [([24]\),)-258.8(giv)27.8(en)-240.3()-240.2(a)-240.3(curvilinear)-240.1(p)-27.8(olygon)-240.2(in)]TJ /F10 1 Tf 16.3448 0 TD (R)Tj /F16 1 Tf 7.9701 0 0 7.9701 312.1863 515.457 Tm (2)Tj /F4 1 Tf 10.9091 0 0 10.9091 316.9186 511.4979 Tm [(,)-258.8(there)-240.2(exists)]TJ /F13 1 Tf 5.6699 0 TD (p)Tj /F4 1 Tf 0.5032 0 TD (\()Tj /F13 1 Tf 0.3889 0 TD (r)Tj /F4 1 Tf 0.4789 0 TD (\))Tj /F15 1 Tf 0.6667 0 TD ()Tj /F4 1 Tf 0.9445 0 TD ([2)Tj /F13 1 Tf 0.7778 0 TD (,)Tj /F15 1 Tf 0.4444 0 TD ()Tj /F4 1 Tf 1 0 TD [(\))-240.2(suc)27.8(h)-240.2(that)]TJ -28.375 -1.1872 TD [(\(1.11\))-359.2(holds)-359.3(for)-359.3(the)-359.2(op)-27.8(erator)]TJ /F13 1 Tf 12.9214 0 TD (K)Tj /F14 1 Tf 7.9701 0 0 7.9701 276.2262 496.9106 Tm (r)Tj /F4 1 Tf 10.9091 0 0 10.9091 284.7004 498.5464 Tm [(whenev)27.8(er)]TJ /F13 1 Tf 4.4176 0 TD (p)Tj /F15 1 Tf 0.8242 0 TD ()Tj /F4 1 Tf 0.9877 0 TD ([)Tj /F13 1 Tf 0.2778 0 TD (p)Tj /F4 1 Tf 0.5031 0 TD (\()Tj /F13 1 Tf 0.3889 0 TD (r)Tj /F4 1 Tf 0.479 0 TD (\))Tj /F13 1 Tf 0.3889 0 TD (,)Tj /F15 1 Tf 0.4445 0 TD ()Tj /F4 1 Tf 1 0 TD [(\).)-522.3(In)-359.3(the)-359.2(mean)27.8(time,)]TJ -24.2591 -1.1872 TD [(substan)27.9(tial)-398.3(n)27.7(umerical)-398.3(evidence)-398.3(supp)-27.8(orts)-398.4(the)-398.4(case)]TJ /F13 1 Tf 22.035 0 TD (p)Tj /F4 1 Tf 0.8894 0 TD [(=)-386.2(2)-398.4(\(and)-398.3(therefore,)-414.6(b)27.8(y)]TJ -22.9244 -1.1872 TD [(in)27.9(terp)-27.8(olation,)-333.2(\(1.11\))-333.4(for)]TJ /F13 1 Tf 10.6444 0 TD (p)Tj /F15 1 Tf 0.7809 0 TD ()Tj /F4 1 Tf 0.9445 0 TD ([2)Tj /F13 1 Tf 0.7777 0 TD (,)Tj /F15 1 Tf 0.4445 0 TD ()Tj /F4 1 Tf 1 0 TD (\)\).)Tj -13.4961 -1.1872 TD [(In)-482.9(the)-482.9(ligh)27.8(t)-482.9(o)0(f)-482.8(this)-482.9(discussion,)-520.1(it)-482.9(comes)-482.9(as)-482.9(a)-482.8(surprise)-482.8(that)-482.9(\(1.11\))]TJ /F19 1 Tf 30.1152 0 TD (fails)Tj /F4 1 Tf -31.2111 -1.1872 TD [(for)-410(more)-410(general)-410(systems,)-429.1(ev)27.8(en)-409.9(though)-410(the)-410(symmetry)-409.9(and)-409.9(strict)-410(p)-27.7(ositivit)27.8(y)]TJ T* [(conditions)-330.2(for)-330.3(the)-330.3(co)-27.8(ecien)27.8(t)-330.3(tensor)]TJ /F13 1 Tf 15.696 0 TD (A)Tj /F4 1 Tf 1.0804 0 TD [(are)-330.3(enforced.)-443.4(Indeed,)-330.8(the)-330.3(main)-330.3(result)]TJ -16.7763 -1.1872 TD [(of)-328.9(this)-329(pap)-27.7(erwhic)27.8(h)-328.9(answ)27.9(ers)-329(a)-328.9(question)-328.8(p)-27.8(osed)-328.9(to)-328.9(us)-328.9(b)27.8(y)-328.9(C.)-328.9(Kenigreads)-328.8(as)]TJ T* [(follo)27.8(ws.)]TJ /F2 1 Tf 0 -1.7028 TD (Theorem.)Tj /F19 1 Tf 5.2534 0 TD [(F)76.7(o)0(r)-329(any)]TJ /F13 1 Tf 3.7258 0 TD (p)Tj /F15 1 Tf 0.7809 0 TD ()Tj /F4 1 Tf 0.9444 0 TD (\(1)Tj /F13 1 Tf 0.8889 0 TD (,)Tj /F15 1 Tf 0.4444 0 TD ()Tj /F4 1 Tf 1 0 TD (\))Tj /F19 1 Tf 0.718 0 TD [(ther)51.1(e)-329(exists)-329(a)-329.1(p)51.1(olygon)]TJ /F4 1 Tf 9.5873 0 TD ()Tj /F19 1 Tf 1.0512 0 TD (in)Tj /F10 1 Tf 1.1979 0 TD (R)Tj /F16 1 Tf 7.9701 0 0 7.9701 413.069 393.2683 Tm (2)Tj /F19 1 Tf 10.9091 0 0 10.9091 421.3908 389.3101 Tm [(and)-329(a)-329(s)0(e)51.1(c)51.1(ond-)]TJ -27.0774 -1.1872 TD [(or)51.1(der)-342.5(el)-51.1(liptic)-342.6(op)51.2(er)51.1(ator)]TJ /F15 1 Tf 9.8189 0 TD (L)Tj /F19 1 Tf 1.0323 0 TD [(as)-342.6(in)]TJ /F4 1 Tf 2.4742 0 TD (\(1)Tj /F13 1 Tf 0.8889 0 TD (.)Tj /F4 1 Tf 0.2778 0 TD (8\))Tj /F19 1 Tf 1.2315 0 TD [(with)-342.6(the)-342.6(c)51.1(o)51.1(ecient)-342.5(matrix)]TJ /F13 1 Tf 11.6732 0 TD (A)Tj /F19 1 Tf 1.0926 0 TD (symmetric)Tj -28.4894 -1.1872 TD [(and)-282.6(strictly)-282.6(p)51.1(ositive)-282.6(denite)-282.6(such)-282.6(that)-282.6(the)]TJ /F13 1 Tf 17.9123 0 TD (L)Tj /F14 1 Tf 7.9701 0 0 7.9701 328.8319 367.3654 Tm (p)Tj /F19 1 Tf 10.9091 0 0 10.9091 336.6765 363.4073 Tm [(sp)51.1(e)51.1(ctr)51.1(al-r)51.2(adius)-282.6(c)51.1(onje)51.2(ctur)51.1(e)]TJ /F4 1 Tf 11.1324 0 TD (\(1)Tj /F13 1 Tf 0.8889 0 TD (.)Tj /F4 1 Tf 0.2778 0 TD (11\))Tj /F19 1 Tf -31.6111 -1.1872 TD [(fails.)-459.9(A)-357.8(similar)-357.6(ne)51.1(gative)-357.7(r)51.2(esult)-357.8(holds)-357.7(for)-357.8(the)-357.7(c)51.1(ase)-357.7(of)-357.8(c)51.1(ontinuous)-357.6(functions.)]TJ /F4 1 Tf 1.0959 -1.7029 TD [(It)-448.2(is)-448.1(w)27.8(orth)-448.1(p)-27.8(oin)27.8(ting)-448.2(out)-448.1(that)-448.2(all)-448.2(our)-448.1(coun)27.7(terexamples)-448(are)-448.2(second-order)]TJ -1.0959 -1.1872 TD [(elliptic)-471.7(systems)-471.7(in)-471.9(canonical)-471.7(form,)-506.4(whic)27.8(h)-471.8(are)-471.8(of)-471.8(the)]TJ /F19 1 Tf 23.8589 0 TD [(se)51.1(c)51.1(ond)-485.1(kind)]TJ /F4 1 Tf 5.6081 0 TD [(\(see)-471.8(the)]TJ -29.467 -1.1872 TD [(discussion)-338.4(at)-338.5(the)-338.5(b)-27.8(eginning)-338.4(of)-338.5(Section)-338.5(3\).)-460(Suc)27.8(h)-338.5(a)-338.5(class)-338.4(do)-27.8(es)-338.4(not)-338.5(include)-338.4(the)]TJ T* [(Lam)27.9()]TJ 1.9583 0 TD [(e)-319.9(o)0(p)-27.8(erator)-319.8(\(1.12\),)-322.6(whic)27.8(h)-319.9(i)0(s)-319.9(o)0(f)-319.9(the)-319.8(rst)-319.9(kind,)-322.6(in)-319.9(the)-319.9(classication)-319.8(alluded)]TJ -1.9583 -1.1872 TD [(to)-333.3(ab)-27.7(o)27.8(v)27.8(e)0(.)]TJ 1.0959 -1.1872 TD [(Our)-445.6(pro)-27.7(of)-445.6(pro)-27.7(ceeds)-445.6(in)-445.6(sev)27.8(eral)-445.5(stages.)-781.1(The)-445.6(simplest)-445.5(case)-445.6(is)-445.6(1)]TJ /F13 1 Tf 27.9508 0 TD 0.4649 Tc (
)Tj /F4 1 Tf 1.0555 0 TD 1 Tc [(1i)1000(f1)]TJ /F13 1 Tf 3.8611 0 TD 0.2778 Tc (
> /ExtGState << /GS1 22 0 R >> >> endobj 35 0 obj << /Length 11616 >> stream 0 g /GS1 gs 53.97 792.06 0.498 -28.65 re f 305.73 792.06 0.498 -28.65 re f 557.49 792.06 0.498 -28.65 re f 2.97 754.908 42.52 -0.498 re f 2.97 35.388 42.52 -0.498 re f BT /F3 1 Tf 7.9701 0 0 7.9701 184.5539 672.6924 Tm 0 Tc 0 Tw [(some)-377.6(counterexamples)-377.3(f)22.2(o)0(r)-377.7(the)-377.7(spectral-radius)-377.3(conjecture)-5135.3(1413)]TJ /F4 1 Tf 10.9091 0 0 10.9091 137.9557 648.7821 Tm [(Next,)-349.5(if)]TJ /F13 1 Tf 3.6681 0 TD (p)Tj /F15 1 Tf 0.8026 0 TD ()Tj /F4 1 Tf 1.0773 0 TD [(4,)-349.6(w)27.8(e)-346.3(consider)-346.2()-346.4(t)0(o)-346.3(b)-27.7(e)-346.4(a)-346.3(sector)-346.3(in)-346.4(the)-346.2(plane)-346.3(of)-346.3(ap)-27.8(erture)]TJ /F13 1 Tf 24.7502 0 TD 0.0359 Tc (/)Tj /F4 1 Tf 1.1059 0 TD 0 Tc (2)Tj -32.5 -1.1872 TD [(with)-445.7(sides)-445.8(along)-445.8(the)-445.8(p)-27.7(ositiv)27.8(e)-445.9(c)0(o)-27.8(ordinate)-445.7(axes.)-781.9(Starting)-445.7(from)-445.8(the)-445.8(descrip-)]TJ T* [(tion)-340.3(of)-340.5(the)-340.3(sp)-27.8(ectrum)-340.3(of)-340.4(the)-340.4(double-la)27.9(y)27.8(e)0(r)-340.4(p)-27.7(oten)27.8(tial)-340.4(op)-27.7(erators)-340.3(asso)-27.8(ciated)-340.3(to)-340.4(a)]TJ T* [(sp)-27.7(ecic)-333.3(\(carefully)-333.2(c)27.7(hosen\))-333.3(second-order)-333.1(elliptic)-333.3(systems)-333.3(in)-333.3(canonical)-333.2(form,)]TJ /F13 1 Tf 9.6743 -2.8844 TD ()Tj /F17 1 Tf 0.774 1.1101 TD ()Tj /F13 1 Tf 0.5972 -1.1101 TD (K)Tj /F14 1 Tf 7.9701 0 0 7.9701 255.7619 576.7731 Tm (A)Tj /F4 1 Tf 10.9091 0 0 10.9091 262.6032 578.4618 Tm 0.1666 Tc (;\()Tj /F13 1 Tf 0.8333 0 TD 0 Tc (L)Tj /F14 1 Tf 7.9701 0 0 7.9701 279.1183 582.9659 Tm (p)Tj /F4 1 Tf 10.9091 0 0 10.9091 283.8795 578.4618 Tm (\()Tj /F13 1 Tf 0.3889 0 TD ()Tj /F4 1 Tf 0.5865 0 TD -0.0001 Tc (\)\))Tj /F16 1 Tf 7.9701 0 0 7.9701 310.8832 583.4889 Tm 0 Tc (2)Tj /F17 1 Tf 10.9091 0 0 10.9091 315.6154 590.5714 Tm ( )Tj /F4 1 Tf 0.875 -1.1101 TD (=)Tj /F16 1 Tf 7.9701 0 0 7.9701 341.4107 592.0986 Tm (4)Tj /F17 1 Tf 10.9091 0 0 10.9091 337.4675 588.8259 Tm ()Tj /F14 1 Tf 7.9701 0 0 7.9701 336.6755 565.3749 Tm (i)Tj /F16 1 Tf 0.3618 0 TD (=1)Tj /F4 1 Tf 10.9091 0 0 10.9091 352.1972 578.4618 Tm ()Tj /F14 1 Tf 7.9701 0 0 7.9701 360.0767 576.8259 Tm (i)Tj /F4 1 Tf 10.9091 0 0 10.9091 363.458 578.4618 Tm (\()Tj /F13 1 Tf 0.3889 0 TD (p)Tj /F4 1 Tf 0.5031 0 TD (\))Tj /F13 1 Tf 0.389 0 TD (,)Tj /F4 1 Tf 7.3965 0 TD (\(1.16\))Tj -30.4444 -2.8632 TD [(where)-399()]TJ /F14 1 Tf 7.9701 0 0 7.9701 166.142 545.5911 Tm (i)Tj /F4 1 Tf 10.9091 0 0 10.9091 169.5233 547.2269 Tm (\()Tj /F13 1 Tf 0.3889 0 TD (p)Tj /F4 1 Tf 0.5031 0 TD [(\))-399.1(denotes)-399(a)-399.1(certain)-399(\(closed\))-399(curv)27.8(e)-399.1(i)0(n)-399.1(the)-399(plane,)-415.5(asso)-27.7(ciated)-399.1(with)]TJ -4.8816 -1.1872 TD [(the)-325(tensor)]TJ 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/F13 1 Tf
0.3889 0 TD
()Tj
/F4 1 Tf
0.8181 0 TD
(+)Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.4972 0 TD
(\)])Tj
-24.68 -1.54 TD
(+)Tj
/F13 1 Tf
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(s)Tj
/F4 1 Tf
0.6354 0 TD
(sin)Tj
/F13 1 Tf
1.3944 0 TD
()Tj
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1.6167 0 TD
()Tj
/F4 1 Tf
0.818 0 TD
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/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.4973 0 TD
(\))Tj
/F13 1 Tf
0.3889 0 TD
(.)Tj
/F4 1 Tf
-14.0509 -1.7868 TD
[(Corresp)-27.7(onding)-457.6(to)-457.8(the)-457.7(case)]TJ
/F13 1 Tf
12.2641 0 TD
(P)Tj
/F15 1 Tf
1.266 0 TD
()Tj
/F4 1 Tf
1.1517 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
()Tj
/F4 1 Tf
0.5864 0 TD
0.0001 Tc
(\))Tj
/F16 1 Tf
7.9701 0 0 7.9701 308.9275 389.0849 Tm
0 Tc
(1)Tj
/F4 1 Tf
10.9091 0 0 10.9091 318.653 392.3108 Tm
(and)Tj
/F13 1 Tf
2.0689 0 TD
(Q)Tj
/F15 1 Tf
1.2756 0 TD
()Tj
/F4 1 Tf
1.1517 0 TD
(\()Tj
/F13 1 Tf
0.389 0 TD
()Tj
/F4 1 Tf
0.5864 0 TD
0.0001 Tc
(\))Tj
/F16 1 Tf
7.9701 0 0 7.9701 390.4638 389.0849 Tm
0 Tc
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 395.196 392.3108 Tm
[(,)-488.8(w)27.8(e)-457.7(i)0(n)27.8(tro)-27.7(duce)-457.7(the)]TJ
-24.6763 -1.2881 TD
[(op)-27.7(erators)-333.3(with)-333.2(k)27.8(ernels)]TJ
/F16 1 Tf
7.9701 0 0 7.9701 246.7487 382.5544 Tm
(1)Tj
ET
236.85 381.166 24.128 -0.436 re
f
BT
/F14 1 Tf
7.9701 0 0 7.9701 236.802 374.2097 Tm
(x)Tj
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5.9776 0 0 5.9776 241.5681 376.4792 Tm
(2)Tj
/F16 1 Tf
7.9701 0 0 7.9701 245.7196 374.2097 Tm
(+)Tj
/F14 1 Tf
0.8264 0 TD
(y)Tj
/F11 1 Tf
5.9776 0 0 5.9776 256.7781 376.4792 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 265.7604 378.2585 Tm
(and)Tj
/F14 1 Tf
7.9701 0 0 7.9701 302.3074 382.5544 Tm
(k)Tj
ET
288.21 381.166 32.9 -0.436 re
f
BT
7.9701 0 0 7.9701 288.1684 374.2097 Tm
(k)Tj
/F11 1 Tf
5.9776 0 0 5.9776 292.79 376.4792 Tm
(2)Tj
/F14 1 Tf
7.9701 0 0 7.9701 296.9415 374.2097 Tm
(x)Tj
/F11 1 Tf
5.9776 0 0 5.9776 301.7076 376.4792 Tm
(2)Tj
/F16 1 Tf
7.9701 0 0 7.9701 305.859 374.2097 Tm
(+)Tj
/F14 1 Tf
0.8264 0 TD
(y)Tj
/F11 1 Tf
5.9776 0 0 5.9776 316.9176 376.4792 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 325.8999 378.2585 Tm
[(giv)27.8(en)-333.3(b)27.8(y)]TJ
/F13 1 Tf
-17.7086 -2.5346 TD
0.109 Tc
(Uf)Tj
/F4 1 Tf
1.389 0 TD
0 Tc
(\()Tj
/F13 1 Tf
0.3889 0 TD
(s)Tj
/F4 1 Tf
0.4688 0 TD
0.2777 Tc
[(\):)277.7(=)]TJ
2.1625 0.6765 TD
0 Tc
(1)Tj
ET
180.21 353.566 6.61 -0.436 re
f
BT
/F13 1 Tf
10.9091 0 0 10.9091 180.2371 343.1252 Tm
()Tj
/F17 1 Tf
0.8822 2.047 TD
()Tj
/F18 1 Tf
7.9701 0 0 7.9701 200.7701 362.3014 Tm
()Tj
/F16 1 Tf
-0.6084 -2.7084 TD
(0)Tj
/F15 1 Tf
10.9091 0 0 10.9091 310.6909 357.9885 Tm
()Tj
/F13 1 Tf
0.7778 0 TD
(s)Tj
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0.6353 0 TD
(sin)Tj
/F13 1 Tf
1.3945 0 TD
()Tj
ET
212.73 353.566 231.934 -0.436 re
f
BT
/F4 1 Tf
10.9091 0 0 10.9091 212.7502 343.1252 Tm
(\()Tj
/F13 1 Tf
0.389 0 TD
(s)Tj
/F4 1 Tf
0.6353 0 TD
(cos)Tj
/F13 1 Tf
1.5056 0 TD
()Tj
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0.8181 0 TD
()Tj
/F13 1 Tf
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(t)Tj
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(cos\()Tj
/F13 1 Tf
1.7278 0 TD
()Tj
/F4 1 Tf
0.8181 0 TD
(+)Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.4972 0 TD
(\)\))Tj
/F16 1 Tf
7.9701 0 0 7.9701 318.5305 346.2765 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 325.6867 343.1252 Tm
0.2222 Tc
(+\()Tj
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1.3889 0 TD
0 Tc
(s)Tj
/F4 1 Tf
0.6353 0 TD
(sin)Tj
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()Tj
/F15 1 Tf
0.818 0 TD
()Tj
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(t)Tj
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(sin\()Tj
/F13 1 Tf
1.6167 0 TD
()Tj
/F4 1 Tf
0.8181 0 TD
(+)Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.4972 0 TD
(\)\))Tj
/F16 1 Tf
7.9701 0 0 7.9701 439.9522 346.2765 Tm
(2)Tj
/F13 1 Tf
10.9091 0 0 10.9091 445.88 350.6082 Tm
(f)Tj
/F4 1 Tf
0.5973 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
(t)Tj
/F4 1 Tf
0.3611 0 TD
(\))Tj
/F13 1 Tf
0.5555 0 TD
(dt,)Tj
/F4 1 Tf
-0.2806 -1.7773 TD
(\(4.9\))Tj
-30.9444 -1.1872 TD
(and)Tj
/F13 1 Tf
0.0258 -2.0215 TD
(U)Tj
/F14 1 Tf
7.9701 0 0 7.9701 133.7295 294.4389 Tm
(k)Tj
/F13 1 Tf
10.9091 0 0 10.9091 138.8493 296.2162 Tm
(f)Tj
/F4 1 Tf
0.5973 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
(s)Tj
/F4 1 Tf
0.4688 0 TD
0.2778 Tc
[(\):)277.8(=)]TJ
2.1626 0.6764 TD
0 Tc
(1)Tj
ET
177.69 299.206 6.61 -0.436 re
f
BT
/F13 1 Tf
10.9091 0 0 10.9091 177.7345 288.7333 Tm
()Tj
/F17 1 Tf
0.8821 2.047 TD
()Tj
/F18 1 Tf
7.9701 0 0 7.9701 198.2665 307.9093 Tm
()Tj
/F16 1 Tf
-0.6083 -2.7084 TD
(0)Tj
/F15 1 Tf
10.9091 0 0 10.9091 308.7352 303.5955 Tm
()Tj
/F13 1 Tf
0.7778 0 TD
(sk)Tj
/F4 1 Tf
1.1875 0 TD
(sin)Tj
/F13 1 Tf
1.3944 0 TD
()Tj
ET
208.41 299.206 242.689 -0.436 re
f
BT
10.9091 0 0 10.9091 208.4294 288.7333 Tm
(k)Tj
/F16 1 Tf
7.9701 0 0 7.9701 214.4518 291.8844 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 219.1841 288.7333 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
(s)Tj
/F4 1 Tf
0.6354 0 TD
(cos)Tj
/F13 1 Tf
1.5056 0 TD
()Tj
/F15 1 Tf
0.8181 0 TD
()Tj
/F13 1 Tf
0.9999 0 TD
(t)Tj
/F4 1 Tf
0.5279 0 TD
(cos\()Tj
/F13 1 Tf
1.7278 0 TD
()Tj
/F4 1 Tf
0.818 0 TD
(+)Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.4973 0 TD
(\)\))Tj
/F16 1 Tf
7.9701 0 0 7.9701 324.9644 291.8844 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 332.1206 288.7333 Tm
0.2222 Tc
(+\()Tj
/F13 1 Tf
1.3889 0 TD
0 Tc
(s)Tj
/F4 1 Tf
0.6354 0 TD
(sin)Tj
/F13 1 Tf
1.3944 0 TD
()Tj
/F15 1 Tf
0.8181 0 TD
()Tj
/F13 1 Tf
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(t)Tj
/F4 1 Tf
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(sin\()Tj
/F13 1 Tf
1.6167 0 TD
()Tj
/F4 1 Tf
0.818 0 TD
(+)Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.4973 0 TD
(\)\))Tj
/F16 1 Tf
7.9701 0 0 7.9701 446.3861 291.8844 Tm
(2)Tj
/F13 1 Tf
10.9091 0 0 10.9091 452.3138 296.2162 Tm
(f)Tj
/F4 1 Tf
0.5972 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
(t)Tj
/F4 1 Tf
0.3611 0 TD
(\))Tj
/F13 1 Tf
0.5555 0 TD
(dt.)Tj
/F4 1 Tf
-1.3704 -1.7773 TD
(\(4.10\))Tj
-30.4444 -1.2927 TD
[(Also,)-407.1(for)]TJ
/F13 1 Tf
4.1967 0 TD
(P)Tj
/F15 1 Tf
1.1571 0 TD
()Tj
/F4 1 Tf
1.0428 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
()Tj
/F4 1 Tf
0.5865 0 TD
(\))Tj
/F16 1 Tf
7.9701 0 0 7.9701 218.5435 259.5009 Tm
(1)Tj
/F4 1 Tf
10.9091 0 0 10.9091 227.5557 262.7258 Tm
(and)Tj
/F13 1 Tf
2.0035 0 TD
(Q)Tj
/F15 1 Tf
1.1668 0 TD
()Tj
/F4 1 Tf
1.0428 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
()Tj
/F4 1 Tf
0.5864 0 TD
0.0001 Tc
(\))Tj
/F16 1 Tf
7.9701 0 0 7.9701 296.278 259.5009 Tm
0 Tc
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 301.0102 262.7258 Tm
[(,)-407.2(the)-392.4(op)-27.7(erators)-392.3(with)-392.4(k)27.8(ernels)]TJ
/F18 1 Tf
7.9701 0 0 7.9701 440.6476 267.6573 Tm
()Tj
/F14 1 Tf
0.8265 0 TD
(N)Tj
/F11 1 Tf
5.9776 0 0 5.9776 453.9557 266.5505 Tm
(2)Tj
/F14 1 Tf
7.9701 0 0 7.9701 458.1071 267.6573 Tm
(x)Tj
/F16 1 Tf
0.5981 0 TD
(+)Tj
/F14 1 Tf
0.8264 0 TD
(N)Tj
/F11 1 Tf
5.9776 0 0 5.9776 476.1813 266.5505 Tm
(1)Tj
/F14 1 Tf
7.9701 0 0 7.9701 480.3328 267.6573 Tm
(y)Tj
ET
440.61 265.726 44.156 -0.436 re
f
BT
7.9701 0 0 7.9701 450.663 258.6769 Tm
(x)Tj
/F11 1 Tf
5.9776 0 0 5.9776 455.4291 260.9465 Tm
(2)Tj
/F16 1 Tf
7.9701 0 0 7.9701 459.5806 258.6769 Tm
(+)Tj
/F14 1 Tf
0.8264 0 TD
(y)Tj
/F11 1 Tf
5.9776 0 0 5.9776 470.6391 260.9465 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 126.0005 244.535 Tm
(and)Tj
/F18 1 Tf
7.9701 0 0 7.9701 148.4075 249.4665 Tm
()Tj
/F14 1 Tf
0.8264 0 TD
(k)Tj
/F11 1 Tf
5.9776 0 0 5.9776 159.6154 252.279 Tm
(2)Tj
/F14 1 Tf
7.9701 0 0 7.9701 163.7669 249.4665 Tm
(N)Tj
/F11 1 Tf
5.9776 0 0 5.9776 170.4887 248.3596 Tm
(2)Tj
/F14 1 Tf
7.9701 0 0 7.9701 174.6391 249.4665 Tm
(x)Tj
/F16 1 Tf
0.5981 0 TD
(+)Tj
/F14 1 Tf
0.8264 0 TD
(N)Tj
/F11 1 Tf
5.9776 0 0 5.9776 192.7143 248.3596 Tm
(1)Tj
/F14 1 Tf
7.9701 0 0 7.9701 196.8647 249.4665 Tm
(y)Tj
ET
148.41 247.486 52.93 -0.436 re
f
BT
7.9701 0 0 7.9701 158.4219 240.4861 Tm
(k)Tj
/F11 1 Tf
5.9776 0 0 5.9776 163.0436 242.7557 Tm
(2)Tj
/F14 1 Tf
7.9701 0 0 7.9701 167.195 240.4861 Tm
(x)Tj
/F11 1 Tf
5.9776 0 0 5.9776 171.9621 242.7557 Tm
(2)Tj
/F16 1 Tf
7.9701 0 0 7.9701 176.1126 240.4861 Tm
(+)Tj
/F14 1 Tf
0.8265 0 TD
(y)Tj
/F11 1 Tf
5.9776 0 0 5.9776 187.1711 242.7557 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 206.1689 244.535 Tm
(are)Tj
/F13 1 Tf
-6.7402 -2.5347 TD
0.2222 Tc
(Vf)Tj
/F4 1 Tf
1.4028 0 TD
0 Tc
(\()Tj
/F13 1 Tf
0.3889 0 TD
(s)Tj
/F4 1 Tf
0.4688 0 TD
0.2778 Tc
[(\):)277.8(=)]TJ
2.1626 0.6765 TD
0 Tc
(1)Tj
ET
180.33 219.886 6.61 -0.436 re
f
BT
/F13 1 Tf
10.9091 0 0 10.9091 180.3128 209.4008 Tm
()Tj
/F17 1 Tf
0.8821 2.0471 TD
()Tj
/F18 1 Tf
7.9701 0 0 7.9701 200.8448 228.5778 Tm
()Tj
/F16 1 Tf
-0.6083 -2.7084 TD
(0)Tj
/F15 1 Tf
10.9091 0 0 10.9091 301.5233 224.264 Tm
()Tj
/F13 1 Tf
0.7778 0 TD
(s)Tj
/F4 1 Tf
0.6354 0 TD
(cos)Tj
/F13 1 Tf
1.5055 0 TD
()Tj
/F4 1 Tf
0.7194 0 TD
(+)Tj
/F13 1 Tf
1 0 TD
(t)Tj
ET
212.85 219.886 231.934 -0.436 re
f
BT
/F4 1 Tf
10.9091 0 0 10.9091 212.8249 209.4008 Tm
(\()Tj
/F13 1 Tf
0.389 0 TD
(s)Tj
/F4 1 Tf
0.6354 0 TD
(cos)Tj
/F13 1 Tf
1.5055 0 TD
()Tj
/F15 1 Tf
0.8181 0 TD
()Tj
/F13 1 Tf
1 0 TD
(t)Tj
/F4 1 Tf
0.5278 0 TD
(cos\()Tj
/F13 1 Tf
1.7278 0 TD
()Tj
/F4 1 Tf
0.8181 0 TD
(+)Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.4973 0 TD
(\)\))Tj
/F16 1 Tf
7.9701 0 0 7.9701 318.6053 212.5529 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 325.7624 209.4008 Tm
0.2222 Tc
(+\()Tj
/F13 1 Tf
1.3889 0 TD
0 Tc
(s)Tj
/F4 1 Tf
0.6354 0 TD
(sin)Tj
/F13 1 Tf
1.3944 0 TD
()Tj
/F15 1 Tf
0.8181 0 TD
()Tj
/F13 1 Tf
1 0 TD
(t)Tj
/F4 1 Tf
0.5278 0 TD
(sin\()Tj
/F13 1 Tf
1.6166 0 TD
()Tj
/F4 1 Tf
0.8181 0 TD
(+)Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.4972 0 TD
(\)\))Tj
/F16 1 Tf
7.9701 0 0 7.9701 440.0269 212.5529 Tm
(2)Tj
/F13 1 Tf
10.9091 0 0 10.9091 445.9547 216.8836 Tm
(f)Tj
/F4 1 Tf
0.5973 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
(t)Tj
/F4 1 Tf
0.3611 0 TD
(\))Tj
/F13 1 Tf
0.5556 0 TD
(dt,)Tj
/F4 1 Tf
-0.7876 -1.7773 TD
(\(4.11\))Tj
-30.4444 -1.1872 TD
(and)Tj
/F13 1 Tf
0.6111 -2.1609 TD
(V)Tj
/F14 1 Tf
7.9701 0 0 7.9701 139.0296 159.193 Tm
(k)Tj
/F13 1 Tf
10.9091 0 0 10.9091 144.1494 160.9704 Tm
(f)Tj
/F4 1 Tf
0.5973 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
(s)Tj
/F4 1 Tf
0.4688 0 TD
0.2778 Tc
[(\):)277.8(=)]TJ
2.1626 0.6764 TD
0 Tc
(1)Tj
ET
183.09 163.966 6.61 -0.436 re
f
BT
/F13 1 Tf
10.9091 0 0 10.9091 183.0346 153.4874 Tm
()Tj
/F17 1 Tf
0.8822 2.047 TD
()Tj
/F18 1 Tf
7.9701 0 0 7.9701 203.5676 172.6636 Tm
()Tj
/F16 1 Tf
-0.6084 -2.7084 TD
(0)Tj
/F17 1 Tf
10.9091 0 0 10.9091 210.7158 173.0789 Tm
()Tj
/F13 1 Tf
5.2491 -0.4335 TD
(t)Tj
/F4 1 Tf
0.3611 0 TD
([)Tj
/F13 1 Tf
0.2778 0 TD
(k)Tj
/F16 1 Tf
7.9701 0 0 7.9701 280.9714 172.3088 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 287.5218 168.3497 Tm
(cos)Tj
/F16 1 Tf
7.9701 0 0 7.9701 302.128 172.3088 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 306.8603 168.3497 Tm
(\()Tj
/F13 1 Tf
0.389 0 TD
()Tj
/F4 1 Tf
0.818 0 TD
(+)Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.4973 0 TD
[(\))-222.2(+)-222.2(sin)]TJ
/F16 1 Tf
7.9701 0 0 7.9701 367.3305 172.4811 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 372.0627 168.3497 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
()Tj
/F4 1 Tf
0.8181 0 TD
(+)Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.4972 0 TD
(\)])Tj
ET
217.05 163.966 242.689 -0.436 re
f
BT
/F13 1 Tf
10.9091 0 0 10.9091 217.063 153.4874 Tm
(k)Tj
/F16 1 Tf
7.9701 0 0 7.9701 223.0854 156.6386 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 227.8177 153.4874 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
(s)Tj
/F4 1 Tf
0.6354 0 TD
(cos)Tj
/F13 1 Tf
1.5056 0 TD
()Tj
/F15 1 Tf
0.8181 0 TD
()Tj
/F13 1 Tf
1 0 TD
(t)Tj
/F4 1 Tf
0.5278 0 TD
(cos\()Tj
/F13 1 Tf
1.7278 0 TD
()Tj
/F4 1 Tf
0.8181 0 TD
(+)Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.4972 0 TD
(\)\))Tj
/F16 1 Tf
7.9701 0 0 7.9701 333.598 156.6386 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 340.7542 153.4874 Tm
0.2222 Tc
(+\()Tj
/F13 1 Tf
1.389 0 TD
0 Tc
(s)Tj
/F4 1 Tf
0.6353 0 TD
(sin)Tj
/F13 1 Tf
1.3944 0 TD
()Tj
/F15 1 Tf
0.8181 0 TD
()Tj
/F13 1 Tf
1 0 TD
(t)Tj
/F4 1 Tf
0.5278 0 TD
(sin\()Tj
/F13 1 Tf
1.6167 0 TD
()Tj
/F4 1 Tf
0.818 0 TD
(+)Tj
/F13 1 Tf
1 0 TD
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7.9701 0 0 7.9701 229.9228 624.1744 Tm
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()Tj
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()Tj
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(\()Tj
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(z)Tj
/F4 1 Tf
0.509 0 TD
(\))Tj
/F15 1 Tf
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()Tj
/F14 1 Tf
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(k)Tj
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10.9091 0 0 10.9091 417.7525 620.2152 Tm
(\()Tj
/F13 1 Tf
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(z)Tj
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(\))Tj
/F17 1 Tf
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(\015)Tj
/F13 1 Tf
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(.)Tj
/F4 1 Tf
1.0542 0 TD
(\(4.20\))Tj
-30.4444 -2.2876 TD
[(In)-367.3(\(4.19\)\(4.20\))-367.4(w)27.8(e)-367.4(denote)-367.4(b)27.8(y)]TJ
/F13 1 Tf
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(k)Tj
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(,)Tj
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0.6537 0 TD
(v)Tj
/F4 1 Tf
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[(,)-376(and)]TJ
/F13 1 Tf
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(v)Tj
/F14 1 Tf
7.9701 0 0 7.9701 344.263 599.8217 Tm
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 353.3908 601.599 Tm
[(the)-367.4(k)27.8(ernels)-367.4(of)-367.4(the)-367.3(op)-27.8(erators)]TJ
/F13 1 Tf
-20.8441 -1.1872 TD
(U)Tj
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(U)Tj
/F14 1 Tf
7.9701 0 0 7.9701 148.7263 586.8702 Tm
(k)Tj
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(,)Tj
/F13 1 Tf
0.6087 0 TD
(V)Tj
/F4 1 Tf
0.8056 0 TD
[(,)-330.9(and)]TJ
/F13 1 Tf
2.5501 0 TD
(V)Tj
/F14 1 Tf
7.9701 0 0 7.9701 203.457 586.8702 Tm
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 212.1803 588.6476 Tm
[(resp)-27.7(ectiv)27.8(ely)83.4(.)-443.4(Similarly)]TJ
/F13 1 Tf
10.0071 0 TD
(u)Tj
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()Tj
/F4 1 Tf
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(k)Tj
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()Tj
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()Tj
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(k)Tj
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10.9091 0 0 10.9091 388.0379 588.6476 Tm
[(stand)-330.2(for)-330.3(the)-330.3(k)27.8(ernels)]TJ
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()Tj
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(,)Tj
/F13 1 Tf
0.611 0 TD
(U)Tj
/F18 1 Tf
7.9701 0 0 7.9701 167.0994 579.6543 Tm
()Tj
/F14 1 Tf
-0.1493 -0.9134 TD
(k)Tj
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(,)Tj
/F13 1 Tf
0.6111 0 TD
(V)Tj
/F18 1 Tf
7.9701 0 0 7.9701 187.2857 579.6543 Tm
()Tj
/F4 1 Tf
10.9091 0 0 10.9091 192.0179 575.6962 Tm
[(,)-333.4(and)]TJ
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2.5556 0 TD
(V)Tj
/F18 1 Tf
7.9701 0 0 7.9701 228.6844 579.6543 Tm
()Tj
/F14 1 Tf
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(k)Tj
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[(resp)-27.8(ectiv)27.9(ely)83.4(.)-444.4(W)83.3(e)-333.4(h)0(a)27.8(v)27.8(e)]TJ
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(u)Tj
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[(1\))-277.7(=)]TJ
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(1)Tj
ET
198.09 553.366 6.61 -0.436 re
f
BT
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(s)Tj
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214.89 553.366 76.202 -0.436 re
f
BT
10.9091 0 0 10.9091 214.916 542.9191 Tm
(s)Tj
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(2)Tj
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316.53 553.366 6.61 -0.436 re
f
BT
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ET
1 i
333.45 552.93 102.811 0.436 re
f
BT
/F13 1 Tf
10.9091 0 0 10.9091 333.4187 542.9191 Tm
(s)Tj
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7.9701 0 0 7.9701 338.5325 546.0713 Tm
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(\)+1)Tj
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0 Tc
(.)Tj
/F4 1 Tf
1.897 0 TD
(\(4.21\))Tj
-30.4444 -2.2735 TD
[(Then)-333.2(w)27.8(e)-333.4(use)-333.3(that)-333.3(\(see,)-333.3(e.g,)-333.3(form)27.9(ulas)-333.3(2.60)-333.3(and)-333.3(2.62)-333.2(on)-333.4(page)-333.3(24)-333.3(in)-333.3([30]\))-333.3(for)]TJ
/F13 1 Tf
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(f)Tj
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0.3889 0 TD
(x)Tj
/F4 1 Tf
0.5715 0 TD
0.2778 Tc
(\)=)Tj
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4.6078 0.6765 TD
0 Tc
(x)Tj
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(sin)Tj
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ET
179.97 504.766 90.084 -0.436 re
f
BT
10.9091 0 0 10.9091 180.0289 494.3143 Tm
(x)Tj
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7.9701 0 0 7.9701 186.2635 497.4665 Tm
(2)Tj
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0.2222 Tc
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(and)Tj
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ET
346.77 504.766 90.084 -0.436 re
f
BT
10.9091 0 0 10.9091 346.7577 494.3143 Tm
(x)Tj
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7.9701 0 0 7.9701 352.9933 497.4665 Tm
(2)Tj
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0.2222 Tc
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(2)Tj
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(,)Tj
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(\(4.22\))Tj
-30.4444 -2.1624 TD
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/F13 1 Tf
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0.3136 Tc
[(<)35.9()-19.8(<)35.9()277.7(,)]TJ
/F4 1 Tf
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[(w)27.8(e)-333.4(ha)27.8(v)27.8(e)-333.4(that)]TJ
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(M)Tj
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(\()Tj
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(\)=)Tj
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7.9701 0 0 7.9701 218.8533 458.6192 Tm
0 Tc
(z)Tj
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()Tj
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(1)Tj
/F4 1 Tf
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1.6166 0 TD
0.0556 Tc
(z)Tj
/F4 1 Tf
1.0823 0 TD
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(\))Tj
ET
235.65 457.006 34.041 -0.436 re
f
BT
10.9091 0 0 10.9091 235.6433 446.6321 Tm
(sin\()Tj
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1.6166 0 TD
0.0359 Tc
(z)Tj
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(\))Tj
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(and)Tj
/F15 1 Tf
2.6111 0 TD
(M)Tj
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(g)Tj
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0.3889 0 TD
(z)Tj
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(\)=)Tj
/F13 1 Tf
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(a)Tj
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7.9701 0 0 7.9701 369.9298 458.6192 Tm
0 Tc
(z)Tj
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()Tj
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1.7278 0 TD
0.0555 Tc
(z)Tj
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(\))Tj
ET
386.73 457.006 34.898 -0.436 re
f
BT
10.9091 0 0 10.9091 387.1482 446.6321 Tm
(sin\()Tj
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0.0359 Tc
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/F4 1 Tf
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(\))Tj
/F13 1 Tf
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(,)Tj
/F4 1 Tf
3.2365 0 TD
(\(4.23\))Tj
-30.4444 -2.2735 TD
(for)Tj
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1.4995 0 TD
()Tj
/F4 1 Tf
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(1)Tj
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(Re)Tj
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0.3218 Tc
(z<)Tj
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0 Tc
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0.5 0 TD
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/F4 1 Tf
0.58 0 TD
[(Using)-302.2(\(4.23\))-302.3(together)-302.2(with)-302.2(\(4.21\))-302.3(for)]TJ
/F13 1 Tf
16.1579 0 TD
()Tj
/F4 1 Tf
0.8511 0 TD
(=)Tj
/F13 1 Tf
1.0555 0 TD
()Tj
/F15 1 Tf
0.7659 0 TD
()Tj
/F13 1 Tf
0.9378 0 TD
()Tj
/F4 1 Tf
0.7994 0 TD
[(w)27.8(e)-302.2(obtain)]TJ
/F15 1 Tf
-22.5619 -2.2641 TD
(M)Tj
/F13 1 Tf
1.2009 0 TD
(u)Tj
/F4 1 Tf
0.5725 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
0.2778 Tc
[(\):)277.8(=)]TJ
/F15 1 Tf
2 0 TD
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(\()Tj
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0.3889 0 TD
(u)Tj
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(z)Tj
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0.2778 Tc
(\)=)Tj
/F15 1 Tf
1.7222 0 TD
0 Tc
()Tj
/F4 1 Tf
0.8874 0.6765 TD
(sin\(\()Tj
/F13 1 Tf
2.0056 0 TD
()Tj
/F15 1 Tf
0.8281 0 TD
()Tj
/F13 1 Tf
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()Tj
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0.4972 0 TD
(\))Tj
/F13 1 Tf
0.389 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
(\))Tj
ET
332.73 407.566 61.284 -0.436 re
f
BT
10.9091 0 0 10.9091 346.3392 397.1308 Tm
(sin\()Tj
/F13 1 Tf
1.6167 0 TD
0.0358 Tc
(z)Tj
/F4 1 Tf
1.1149 0 TD
0 Tc
(\))Tj
/F13 1 Tf
1.7471 0.6859 TD
(.)Tj
/F4 1 Tf
5.7679 0 TD
(\(4.24\))Tj
-30.4444 -2.2735 TD
[(Based)-257.6(on)-257.7(\(4.9\))-257.7(and)-257.6(\(4.13\))-257.7(it)-257.7(is)-257.6(easy)-257.7(to)-257.7(see)-257.6(that)-257.6(actually)]TJ
/F13 1 Tf
23.6561 0 TD
(U)Tj
/F18 1 Tf
7.9701 0 0 7.9701 392.7044 383.7709 Tm
()Tj
/F4 1 Tf
10.9091 0 0 10.9091 400.4673 379.8117 Tm
(=)Tj
/F13 1 Tf
1.0555 0 TD
(U)Tj
/F4 1 Tf
1.0495 0 TD
[(and)-257.6(therefore)]TJ
/F13 1 Tf
-27.2645 -1.1872 TD
(u)Tj
/F18 1 Tf
7.9701 0 0 7.9701 132.2451 370.8194 Tm
()Tj
/F4 1 Tf
10.9091 0 0 10.9091 136.9773 366.8603 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
(s,)Tj
/F4 1 Tf
0.9132 0 TD
[(1\))-277.8(=)]TJ
/F13 1 Tf
2.2222 0 TD
(u)Tj
/F4 1 Tf
0.5724 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
(s,)Tj
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7.9701 0 0 7.9701 420.7462 570.5136 Tm
(2)Tj
/F13 1 Tf
10.9091 0 0 10.9091 427.2967 566.3831 Tm
()Tj
0.7054 0.9025 TD
(.)Tj
/F4 1 Tf
2.1202 0 TD
(\(4.30\))Tj
-30.4444 -2.4636 TD
[(F)83.4(rom)-246.9(\(4.10\),)-264.3(\(4.23\),)-264.3(\(4.29\)\(4.30\),)-264.3(and)-246.9(elemen)27.8(tary)-247(algebraic)-246.9(manipulations)-246.8(it)]TJ
0 -1.1872 TD
[(follo)27.8(ws)-222.1(that)-222.2(the)-222.1(k)27.8(ernel)-222.2(of)-222.2(the)-222.2(op)-27.7(erator)]TJ
/F13 1 Tf
16.2361 0 TD
(U)Tj
/F14 1 Tf
7.9701 0 0 7.9701 310.5704 534.6251 Tm
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 318.1141 536.4015 Tm
[(and)-222.2(its)-222.2(Mellin)-222.2(transform)]TJ
/F15 1 Tf
10.5722 0 TD
(M)Tj
/F13 1 Tf
1.2009 0 TD
(u)Tj
/F14 1 Tf
7.9701 0 0 7.9701 452.7931 534.6251 Tm
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 457.9128 536.4015 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
0.2778 Tc
[(\):)277.8(=)]TJ
/F15 1 Tf
-31.3232 -1.1872 TD
0 Tc
(M)Tj
/F4 1 Tf
1.2008 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
(u)Tj
/F14 1 Tf
7.9701 0 0 7.9701 149.588 521.6737 Tm
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 154.7078 523.4501 Tm
(\()Tj
/F15 1 Tf
0.3889 0 TD
()Tj
/F13 1 Tf
0.2778 0 TD
(,)Tj
/F4 1 Tf
0.4445 0 TD
(1\)\)\()Tj
/F13 1 Tf
1.6667 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
[(\))-333.3(are,)-333.3(resp)-27.7(ectiv)27.8(ely)83.4(,)-333.3(giv)27.8(en)-333.3(b)27.8(y)]TJ
/F13 1 Tf
-0.1011 -2.2322 TD
(u)Tj
/F14 1 Tf
7.9701 0 0 7.9701 195.7061 497.321 Tm
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 200.8259 499.0984 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
(s,)Tj
/F4 1 Tf
0.9132 0 TD
[(1\))-277.8(=)]TJ
/F15 1 Tf
2.2222 0 TD
()Tj
/F13 1 Tf
0.8874 0.6765 TD
(R)Tj
ET
248.97 502.006 8.368 -0.436 re
f
BT
10.9091 0 0 10.9091 249.8321 491.6154 Tm
()Tj
/F15 1 Tf
1.0183 0.6859 TD
()Tj
/F13 1 Tf
3.5725 0.6765 TD
(s)Tj
/F4 1 Tf
0.6354 0 TD
(sin\()Tj
/F13 1 Tf
1.6167 0 TD
()Tj
/F15 1 Tf
0.8281 0 TD
()Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.6434 0 TD
(\))Tj
ET
267.57 502.006 120.419 -0.436 re
f
BT
/F13 1 Tf
10.9091 0 0 10.9091 267.5905 491.6154 Tm
(s)Tj
/F16 1 Tf
7.9701 0 0 7.9701 272.7044 494.7666 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 279.8605 491.6154 Tm
0.2222 Tc
(+2)Tj
/F13 1 Tf
1.5 0 TD
0 Tc
(sR)Tj
/F4 1 Tf
1.4025 0 TD
(cos\()Tj
/F13 1 Tf
1.7278 0 TD
()Tj
/F15 1 Tf
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()Tj
/F13 1 Tf
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()Tj
/F4 1 Tf
0.6434 0 TD
0.2223 Tc
(\)+)Tj
/F13 1 Tf
1.6111 0 TD
0 Tc
(R)Tj
/F16 1 Tf
7.9701 0 0 7.9701 383.2777 494.7666 Tm
(2)Tj
/F13 1 Tf
10.9091 0 0 10.9091 389.2055 499.0984 Tm
(,)Tj
/F4 1 Tf
1.4444 0 TD
(and)Tj
/F15 1 Tf
-19.7542 -2.7506 TD
(M)Tj
/F13 1 Tf
1.2009 0 TD
(u)Tj
/F14 1 Tf
7.9701 0 0 7.9701 208.807 467.3146 Tm
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 213.9268 469.0919 Tm
(\()Tj
/F13 1 Tf
0.389 0 TD
(z)Tj
/F4 1 Tf
0.5089 0 TD
0.2778 Tc
(\)=)Tj
/F15 1 Tf
1.7223 0 TD
0 Tc
()Tj
/F13 1 Tf
0.7777 0 TD
(R)Tj
/F14 1 Tf
7.9701 0 0 7.9701 259.3624 473.596 Tm
(z)Tj
/F4 1 Tf
10.9091 0 0 10.9091 265.332 476.4722 Tm
(sin\(\()Tj
/F13 1 Tf
2.0056 0 TD
()Tj
/F15 1 Tf
0.8281 0 TD
()Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.6434 0 TD
(\))Tj
/F13 1 Tf
0.3889 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
(\))Tj
ET
265.29 472.006 62.879 -0.436 re
f
BT
10.9091 0 0 10.9091 279.7499 461.609 Tm
(sin\()Tj
/F13 1 Tf
1.6167 0 TD
0.0359 Tc
(z)Tj
/F4 1 Tf
1.115 0 TD
0 Tc
(\))Tj
/F13 1 Tf
1.8201 0.6859 TD
(.)Tj
/F4 1 Tf
11.7989 0 TD
(\(4.31\))Tj
-30.4444 -2.1861 TD
[(Similarly)83.5(,)]TJ
/F13 1 Tf
4.6936 -2.1768 TD
(u)Tj
/F18 1 Tf
7.9701 0 0 7.9701 183.4491 426.0005 Tm
()Tj
/F14 1 Tf
0 -0.9134 TD
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 188.5689 421.4964 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
(s,)Tj
/F4 1 Tf
0.9132 0 TD
[(1\))-277.8(=)]TJ
/F15 1 Tf
2.2222 0 TD
()Tj
/F4 1 Tf
1.3238 0.6765 TD
(1)Tj
ET
236.73 424.486 14.977 -0.436 re
f
BT
/F13 1 Tf
10.9091 0 0 10.9091 236.6964 414.0135 Tm
0.0077 Tc
(R)Tj
/F15 1 Tf
1.7047 0.6859 TD
0 Tc
()Tj
/F13 1 Tf
4.3932 0.6765 TD
(s)Tj
/F4 1 Tf
0.6354 0 TD
(sin\()Tj
/F13 1 Tf
1.6166 0 TD
()Tj
/F15 1 Tf
0.8281 0 TD
()Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.6434 0 TD
(\))Tj
ET
261.93 424.486 138.324 -0.436 re
f
BT
/F13 1 Tf
10.9091 0 0 10.9091 261.9427 414.0135 Tm
(s)Tj
/F16 1 Tf
7.9701 0 0 7.9701 267.0565 417.1656 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 274.2127 414.0135 Tm
0.2222 Tc
(+2)Tj
/F13 1 Tf
1.5 0 TD
0 Tc
(sR)Tj
/F18 1 Tf
7.9701 0 0 7.9701 304.0578 417.1656 Tm
()Tj
/F16 1 Tf
0.8264 0 TD
(1)Tj
/F4 1 Tf
10.9091 0 0 10.9091 317.1945 414.0135 Tm
(cos\()Tj
/F13 1 Tf
1.7278 0 TD
()Tj
/F15 1 Tf
0.8281 0 TD
()Tj
/F13 1 Tf
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()Tj
/F4 1 Tf
0.6435 0 TD
0.2222 Tc
(\)+)Tj
/F13 1 Tf
1.6111 0 TD
0 Tc
(R)Tj
/F18 1 Tf
7.9701 0 0 7.9701 388.9485 417.1656 Tm
()Tj
/F16 1 Tf
0.8264 0 TD
(2)Tj
/F13 1 Tf
10.9091 0 0 10.9091 401.4625 421.4964 Tm
(,)Tj
/F4 1 Tf
1.4445 0 TD
(and)Tj
/F15 1 Tf
-22.0016 -2.7506 TD
(M)Tj
/F13 1 Tf
1.2009 0 TD
(u)Tj
/F18 1 Tf
7.9701 0 0 7.9701 196.5499 395.9951 Tm
()Tj
/F14 1 Tf
0 -0.9135 TD
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 201.6697 391.4899 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
0.2778 Tc
(\)=)Tj
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0 Tc
()Tj
/F13 1 Tf
0.7778 0 TD
(R)Tj
/F18 1 Tf
7.9701 0 0 7.9701 247.1053 395.9951 Tm
()Tj
/F14 1 Tf
0.8264 0 TD
(z)Tj
/F4 1 Tf
10.9091 0 0 10.9091 259.6613 398.8702 Tm
(sin\(\()Tj
/F13 1 Tf
2.0055 0 TD
()Tj
/F15 1 Tf
0.8281 0 TD
()Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.6435 0 TD
(\))Tj
/F13 1 Tf
0.3889 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
(\))Tj
ET
259.65 394.486 62.879 -0.436 re
f
BT
10.9091 0 0 10.9091 274.0792 384.007 Tm
(sin\()Tj
/F13 1 Tf
1.6167 0 TD
0.0358 Tc
(z)Tj
/F4 1 Tf
1.1149 0 TD
0 Tc
(\))Tj
/F13 1 Tf
1.8202 0.6859 TD
(.)Tj
/F4 1 Tf
12.3187 0 TD
(\(4.32\))Tj
-30.4444 -2.1861 TD
[(In)-417.9(a)-417.9(similar)-417.9(fashion)-417.8(w)27.7(e)-417.9(obtain)-417.9(the)-417.9(Mellin)-417.9(transforms)-417.8(of)-417.9(the)-417.9(k)27.8(ernels)-417.9(of)-417.9(the)]TJ
0 -1.1872 TD
[(op)-27.7(erators)]TJ
/F13 1 Tf
4.4278 0 TD
(V)Tj
/F14 1 Tf
7.9701 0 0 7.9701 180.6665 352.9126 Tm
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 189.4227 354.6899 Tm
(and)Tj
/F13 1 Tf
1.9445 0 TD
(V)Tj
/F18 1 Tf
7.9701 0 0 7.9701 219.4232 358.649 Tm
()Tj
/F14 1 Tf
-0.3042 -0.9135 TD
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 224.1554 354.6899 Tm
0.4444 Tc
[(.W)527.7(e)111.1(h)444.4(a)472.1(v)472.2(e)]TJ
/F13 1 Tf
-2.4825 -2.2868 TD
0 Tc
(v)Tj
/F14 1 Tf
7.9701 0 0 7.9701 202.3621 327.9662 Tm
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 207.4819 329.7434 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
(s,)Tj
/F4 1 Tf
0.9132 0 TD
[(1\))-277.8(=)]TJ
/F13 1 Tf
2.3318 0.6765 TD
(R)Tj
ET
247.17 332.686 8.368 -0.436 re
f
BT
10.9091 0 0 10.9091 248.003 322.2606 Tm
()Tj
/F15 1 Tf
1.0183 0.6859 TD
()Tj
/F13 1 Tf
2.5224 0.6765 TD
(s)Tj
/F4 1 Tf
0.6354 0 TD
(cos\()Tj
/F13 1 Tf
1.7278 0 TD
()Tj
/F15 1 Tf
0.8281 0 TD
()Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.6434 0 TD
0.2223 Tc
(\)+)Tj
/F13 1 Tf
1.6111 0 TD
0 Tc
(R)Tj
ET
265.77 332.686 120.419 -0.436 re
f
BT
10.9091 0 0 10.9091 265.7614 322.2606 Tm
(s)Tj
/F16 1 Tf
7.9701 0 0 7.9701 270.8752 325.4117 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 278.0314 322.2606 Tm
0.2222 Tc
(+2)Tj
/F13 1 Tf
1.5 0 TD
0 Tc
(sR)Tj
/F4 1 Tf
1.4025 0 TD
(cos\()Tj
/F13 1 Tf
1.7278 0 TD
()Tj
/F15 1 Tf
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()Tj
/F13 1 Tf
1 0 TD
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/F4 1 Tf
0.6434 0 TD
0.2223 Tc
(\)+)Tj
/F13 1 Tf
1.6111 0 TD
0 Tc
(R)Tj
/F16 1 Tf
7.9701 0 0 7.9701 381.4486 325.4117 Tm
(2)Tj
/F13 1 Tf
10.9091 0 0 10.9091 387.3763 329.7434 Tm
(,)Tj
-17.4444 -2.8343 TD
(v)Tj
/F18 1 Tf
7.9701 0 0 7.9701 202.7537 303.3285 Tm
()Tj
/F14 1 Tf
-0.0491 -0.9135 TD
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 207.4859 298.8234 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
(s,)Tj
/F4 1 Tf
0.9132 0 TD
[(1\))-277.8(=)]TJ
/F15 1 Tf
2.3794 0.6765 TD
()Tj
/F4 1 Tf
0.7778 0 TD
(1)Tj
ET
247.17 301.726 14.977 -0.436 re
f
BT
/F13 1 Tf
10.9091 0 0 10.9091 247.1283 291.3405 Tm
0.0077 Tc
(R)Tj
/F15 1 Tf
1.7047 0.6859 TD
0 Tc
()Tj
/F13 1 Tf
2.8242 0.6765 TD
(s)Tj
/F4 1 Tf
0.6354 0 TD
(cos\()Tj
/F13 1 Tf
1.7278 0 TD
()Tj
/F15 1 Tf
0.8281 0 TD
()Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.6435 0 TD
0.2222 Tc
(\)+)Tj
/F13 1 Tf
1.6111 0 TD
0 Tc
(R)Tj
/F18 1 Tf
7.9701 0 0 7.9701 375.2209 310.1629 Tm
()Tj
/F16 1 Tf
0.8264 0 TD
(1)Tj
ET
272.37 301.726 138.324 -0.436 re
f
BT
/F13 1 Tf
10.9091 0 0 10.9091 272.3756 291.3405 Tm
(s)Tj
/F16 1 Tf
7.9701 0 0 7.9701 277.4894 294.4927 Tm
(2)Tj
/F4 1 Tf
10.9091 0 0 10.9091 284.6456 291.3405 Tm
0.2222 Tc
(+2)Tj
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1.5 0 TD
0 Tc
(sR)Tj
/F18 1 Tf
7.9701 0 0 7.9701 314.4907 294.4927 Tm
()Tj
/F16 1 Tf
0.8264 0 TD
(1)Tj
/F4 1 Tf
10.9091 0 0 10.9091 327.6274 291.3405 Tm
(cos\()Tj
/F13 1 Tf
1.7278 0 TD
()Tj
/F15 1 Tf
0.8281 0 TD
()Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.6434 0 TD
0.2223 Tc
(\)+)Tj
/F13 1 Tf
1.6111 0 TD
0 Tc
(R)Tj
/F18 1 Tf
7.9701 0 0 7.9701 399.3813 294.4927 Tm
()Tj
/F16 1 Tf
0.8264 0 TD
(2)Tj
/F13 1 Tf
10.9091 0 0 10.9091 411.8954 298.8234 Tm
(.)Tj
/F4 1 Tf
4.2373 0 TD
(\(4.33\))Tj
-30.4444 -2.2416 TD
[(Using)-534.4(\(4.23\))-534.6(i)0(n)-534.4(\()-0.1(4.33\))-534.5(w)27.8(e)-534.6(obtain)-534.4(the)-534.6(follo)27.8(wing)-534.4(form)27.9(ulas)-534.5(for)]TJ
/F15 1 Tf
27.8896 0 TD
(M)Tj
/F13 1 Tf
1.2009 0 TD
(v)Tj
/F14 1 Tf
7.9701 0 0 7.9701 448.6396 272.5918 Tm
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 453.7595 274.3691 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
0.613 Tc
[(\):)613(=)]TJ
/F15 1 Tf
-30.9425 -1.1872 TD
0 Tc
(M)Tj
/F4 1 Tf
1.2008 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
(v)Tj
/F14 1 Tf
7.9701 0 0 7.9701 148.6306 259.6403 Tm
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 153.7504 261.4177 Tm
(\()Tj
/F15 1 Tf
0.389 0 TD
()Tj
/F13 1 Tf
0.2777 0 TD
(,)Tj
/F4 1 Tf
0.4445 0 TD
(1\)\)\()Tj
/F13 1 Tf
1.6667 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
[(\))-333.3(and)]TJ
/F15 1 Tf
2.6667 0 TD
(M)Tj
/F13 1 Tf
1.2009 0 TD
(v)Tj
/F18 1 Tf
7.9701 0 0 7.9701 237.4775 265.3758 Tm
()Tj
/F14 1 Tf
-0.049 -0.9134 TD
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 242.2097 261.4177 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
0.2778 Tc
[(\):)277.8(=)]TJ
/F15 1 Tf
2 0 TD
0 Tc
(M)Tj
/F4 1 Tf
1.2008 0 TD
(\()Tj
/F13 1 Tf
0.3889 0 TD
(v)Tj
/F18 1 Tf
7.9701 0 0 7.9701 296.8458 265.3758 Tm
()Tj
/F14 1 Tf
-0.049 -0.9134 TD
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 301.5781 261.4177 Tm
(\()Tj
/F15 1 Tf
0.3889 0 TD
()Tj
/F13 1 Tf
0.2777 0 TD
(,)Tj
/F4 1 Tf
0.4445 0 TD
(1\)\)\()Tj
/F13 1 Tf
1.6667 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
[(\),)-333.4(resp)-27.7(ectiv)27.8(ely:)]TJ
/F15 1 Tf
-18.5352 -2.2868 TD
(M)Tj
/F13 1 Tf
1.2009 0 TD
(v)Tj
/F14 1 Tf
7.9701 0 0 7.9701 153.6209 234.6939 Tm
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 158.7407 236.4712 Tm
(\()Tj
/F13 1 Tf
0.3889 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
0.2778 Tc
(\)=)Tj
/F13 1 Tf
1.7222 0 TD
0 Tc
(R)Tj
/F14 1 Tf
7.9701 0 0 7.9701 195.6912 240.9753 Tm
(z)Tj
/F4 1 Tf
10.9091 0 0 10.9091 201.6608 243.8505 Tm
(cos\(\()Tj
/F13 1 Tf
2.1166 0 TD
()Tj
/F15 1 Tf
0.8281 0 TD
()Tj
/F13 1 Tf
1 0 TD
()Tj
/F4 1 Tf
0.6435 0 TD
(\))Tj
/F13 1 Tf
0.3889 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
(\))Tj
ET
201.69 239.446 64.091 -0.436 re
f
BT
10.9091 0 0 10.9091 216.6854 228.9873 Tm
(sin\()Tj
/F13 1 Tf
1.6166 0 TD
0.0359 Tc
(z)Tj
/F4 1 Tf
1.115 0 TD
0 Tc
(\))Tj
2.5424 0.686 TD
(and)Tj
/F15 1 Tf
2.2778 0 TD
(M)Tj
/F13 1 Tf
1.2009 0 TD
(v)Tj
/F18 1 Tf
7.9701 0 0 7.9701 317.8481 240.9753 Tm
()Tj
/F14 1 Tf
-0.0491 -0.9135 TD
(k)Tj
/F4 1 Tf
10.9091 0 0 10.9091 322.5803 236.4712 Tm
(\()Tj
/F13 1 Tf
0.389 0 TD
(z)Tj
/F4 1 Tf
0.509 0 TD
0.2778 Tc
(\)=)Tj
/F15 1 Tf
1.7222 0 TD
0 Tc
()Tj
/F13 1 Tf
0.7778 0 TD
(R)Tj
/F18 1 Tf
7.9701 0 0 7.9701 368.016 240.9753 Tm
()Tj
/F14 1 Tf
0.8265 0 TD
(z)Tj
/F4 1 Tf
10.9091 0 0 10.9091 380.5719 243.8505 Tm
(cos\(\()Tj
/F13 1 Tf
2.1167 0 TD
()Tj
/F15 1 Tf
0.8281 0 TD
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