%!PS-Adobe-2.0 %%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %%Title: WS0001Ub7V2.dvi %%Pages: 1 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%EndComments %DVIPSCommandLine: dvips WS0001Ub7V2.dvi %DVIPSParameters: dpi=300, compressed, comments removed %DVIPSSource: TeX output 2000.12.05:1007 %%BeginProcSet: texc.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72 mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1} ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if} forall round exch round exch]setmatrix}N /@landscape{/isls true N}B /@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 -1 0 0]N /FBB[0 0 0 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b(b)q(etrac)o(h)o(ten)f(die)h(reellen)f(Zahlen)h(als)g(V)l(ektorraum) 1363 1871 y(\177)1362 1869 y(ub)q(er)h(den)f(rationalen)284 1929 y(Zahlen.)f(Zeigen)h(Sie,)f(da\031)i(die)f(V)l(ektoren)f(1,)1137 1888 y Fc(p)p 1178 1888 25 2 v 1178 1929 a Fe(3)i(und)1316 1888 y Fc(p)p 1358 1888 V 41 x Fe(5)g(linear)e(unabh)1666 1931 y(\177)1666 1929 y(angig)284 1989 y(sind.)h(Zeigen)f(Sie,)g (da\031)739 1948 y Fc(p)p 780 1948 V 780 1989 a Fe(7)i(k)o(eine)d (Lineark)o(om)o(bination)h(v)o(on)1454 1948 y Fc(p)p 1495 1948 V 1495 1989 a Fe(3)i(und)1633 1948 y Fc(p)p 1675 1948 V 41 x Fe(5)g(ist.)284 2049 y(\(Hin)o(w)o(eis:)12 b(Ben)o(utzen)h(Sie)g(Ihre)h(Sc)o(h)o(ulk)o(enn)o(tnisse)1232 2051 y(\177)1230 2049 y(ub)q(er)h(die)e(binomisc)o(hen)f(F)l(or-)284 2110 y(meln,)k(die)j(Eindeutigk)o(eit)e(der)i(Primfaktorzerlegung)e (und)i(die)g(Darstellbar-)284 2170 y(k)o(eit)13 b(v)o(on)i(rationalen)h (Zahlen)e(als)h(gek)1001 2172 y(\177)1000 2170 y(urzte)g(Br)1179 2172 y(\177)1178 2170 y(uc)o(he,)e(also)j(mit)d(teilerfrem)o(dem)284 2230 y(Z)314 2232 y(\177)314 2230 y(ahler)19 b(und)h(Nenner.)e(Kann)j (die)e(Quadrat)o(wurzel)g(einer)g(Primzahl)f(rational)284 2290 y(sein?\))1310 b(\(6\))162 2381 y(Abgab)q(e:)23 b(Mitt)o(w)o(o)q(c)o(h,)f(13.12.2000,)i(12.00)h(Uhr,)1118 2370 y(\177)1112 2381 y(Ubungsk)1299 2383 y(\177)1299 2381 y(asten)f(im)d(1.)i(Sto)q(c)o(k)g(des)162 2441 y(Mathematisc)o (hen)14 b(Instituts.)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF