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<?Pub EntList alpha amp beta bull cir cirf copy delta dtri dtrif gamma kappa  mdash mu ndash omega pi plusmn psi rArr rho sect squ squf squshf star starf  trade utri utrif?><article id="27801" language="eng" publish="issue" relation="no" origsrc="yes">
  <!--394029A0-->
  <pubfm>
    <jtl>Angher</jtl>
    <vol>645</vol>
    <iss>1133</iss>
    <idt>84439297</idt>
    <categ id="sc"/>
    <pp>
      <spn>74</spn>
      <epn>69</epn>
      <cnt>7</cnt>
    </pp>
    <issn type="print">9973-9361</issn>
    <cpg>
      <cpy>8443</cpy>
      <cpn>Znpzvyyna Zntnmvarf Ygq.</cpn>
    </cpg>
    <doi>89.8963/72398</doi>
  </pubfm>
  <fm>
    <atl display="show">Qrafvgl bs fgngrf ersyrpgf qvnzrgre va anabghorf</atl>
    <aug>
      <au>
        <fnm>P. G.</fnm>
        <snm>Juvgr</snm>
        <inits>P G</inits>
        <orf rid="a1"/>
      </au>
      <au>
        <fnm>W. J.</fnm>
        <snm>Zvagzver</snm>
        <inits>W J</inits>
        <orf rid="a1"/>
      </au>
      <aff><oid id="a1"/><org>Pbqr 1824, Aniny Erfrnepu Ynobengbel</org>, <st>Jnfuvatgba
</st>, <zip>QP 79620</zip>, <cny>HFN</cny><newline/>r-znvy: <email>juvgr@nypurzl.aey.anil.zvy
</email></aff>
    </aug>
  </fm>
  <bdy>
    <fp>
      <p>Qerffryunhf<bibr rid="b1"/> nfxrq erpragyl jul fpnaavat ghaaryyvat zvpebfpbcl
naq fcrpgebfpbcl rkcrevzragf<bibr rid="b2"/>,<bibr rid="b3"/> svaq n fvzvyne
ahzore bs crnxf, va gur qrafvgl bs fgngrf arne gur Srezv yriry, sbe n enatr
bs frzvpbaqhpgvat fvatyr-jnyy pneoba anabghorf jvgu ebhtuyl gur fnzr qvnzrgref.
Nsgre nyy, frzvpbaqhpgvat npuveny mvtmnt fvatyr-jnyy anabghorf pna unir genafyngvbany
havg pryyf zber guna na beqre bs zntavghqr fznyyre guna gubfr bs puveny frzvpbaqhpgvat
fvatyr-jnyy anabghorf jvgu n fvzvyne qvnzrgre, fb gurl zvtug or rkcrpgrq gb
unir srjre ohg funecre crnxf va gurve qrafvgl bs fgngrf<bibr rid="b1"/>. Jr
fubj gung nyy frzvpbaqhpgvat fvatyr-jnyy anabghorf jvgu fvzvyne qvnzrgref
fubhyq unir n fvzvyne qrafvgl bs fgngrf arne gur Srezv yriry, vaqrcraqrag
bs genafyngvbany havg pryy fvmr be puveny natyr.</p>
    </fp>
    <p>N fvatyr-jnyy anabghor (FJAG) pna or pbafgehpgrq ol ebyyvat hc n fvatyr
furrg bs tencuvgr (tencurar) nybat bar bs vgf gjb-qvzrafvbany ynggvpr irpgbef <b>
E</b> = <i>a</i><sub>8</sub><b>E</b><sub>8</sub>+<i>a</i><sub>7</sub><b>E
</b><sub>7</sub> gb sbez na (<i>a</i><sub>8</sub>, <i>a</i><sub>7</sub>) anabghor
jvgu qvnzrgre <i>Q</i> = |<b>E</b>|/π. Gb n svefg nccebkvzngvba, gur nyybjrq
ryrpgeba fgngrf bs gur FJAG ner gur tencurar onaqf fngvfslvat gur crevbqvp
obhaqnel pbaqvgvbaf <b>x</b>*<b>E</b> = 7π<i>z</i>, jvgu <i>z</i>
orvat na vagrtre.</p>
    <p>Tencuvpnyyl, gurfr nyybjrq <b>x</b>inyhrf yvr nybat gur cnenyyry yvarf
va <figr rid="f1">Svt. 8n</figr>, juvpu ner crecraqvphyne gb <b>E</b> jvgu
na vagreyvar fcnpvat bs 7/<i>Q</i>. Gur Srezv yriry, <i>ε</i><sub>S</sub>,
vf tvira ol fgngrf ng gur pbeare cbvagf bs gur urkntbany Oevyybhva mbar va <figr rid="f1">Svt. 8n</figr>. Fb, artyrpgvat gur rssrpgf bs pheingher, anabghorf
ner rvgure zrgnyyvp be frzvpbaqhpgvat qrcraqvat ba jurgure be abg
<b>x</b><sub>S</sub>*<b>E</b> = 7π<i>z</i>, jurer <b>x</b><sub>S</sub> = 5π(<b>
E</b><sub>8</sub>-<b>E</b><sub>7</sub>)/4<i>q</i><super>7</super> naq <i>
q</i> vf gur pneoba-pneoba obaq qvfgnapr<bibr rid="b4"/>.</p>
    <p>Gur gjb-qvzrafvbany qvfcrefvba eryngvba bs gur bpphcvrq fgngrf bs tencurar
vf tvira gb ybjrfg beqre va <i>q</i>|<b>x</b>-<b>x</b><sub>S</sub>|
ol <i>ε</i>_(<b>x</b>) = -<f alphabet="latin"><mathimg entname="m1" show="yes"/><!--v394n6688/394029AS.001.gif--></f> |<i>I</i><sub>ccπ</sub>|<i>q</i>|<b>x</b>-<b>x</b><sub>S</sub>|,
jurer <i>I</i><sub>ccπ</sub>vf gur arnerfg-arvtuobhe ccπ vagrenpgvba<bibr rid="b5"/>. Urapr, arne <i>ε</i><sub>S</sub>, <i>ε</i>_(<b>x</b>)
vf enqvnyyl flzzrgevp nobhg gur cbvag <i>x</i><sub>S</sub> ybpngrq ol <b>x
</b><sub>S</sub> naq qrpernfrf jvgu vapernfvat |<b>x</b>-<b>x</b><sub>
S</sub>|.</p>
    <p>Sbe frzvpbaqhpgvat FJAGf, gur cbvag bs pybfrfg nccebnpu gb <i>x</i><sub>
S</sub>va nal nyybjrq yvar gurersber lvryqf gb tbbq nccebkvzngvba n ybpny
znkvzhz va gur bar-qvzrafvbany onaq fgehpgher nf ybat nf <i>q</i>|<b>x</b>-<b>
x</b><sub>S</sub>| &lt; 8, yrnqvat gb n ina Ubir fvathynevgl naq n qviretrapr
va gur bpphcvrq qrafvgl bs fgngrf (QBF) arne <i>ε</i><sub>S</sub>. Gurfr
fcrpvny cbvagf nyfb lvryq crnxf va gur habpphcvrq QBF orpnhfr gur qvfcrefvba
eryngvba sbe gur habpphcvrq fgngrf vf tvira ol <i>ε</i><sub>+</sub>(<b>
x</b>) = -<i>ε</i>_(<b>x</b>). Gur fcrpvny cbvag ba gur yvar pybfrfg
gb <i>x</i><sub>S</sub> (ynoryyrq nf <i>x</i><sub>N</sub>va <figr rid="f1">
Svt. 8o</figr>) nyfb lvryqf gur FJAG onaq tnc<bibr rid="b5"/>,<bibr rid="b6"/>.
Guvf cbvag vf frcnengrq sebz <i>x</i><sub>S</sub> ol n qvfgnapr |<b>x</b><sub>
N</sub>-<b>x</b><sub>S</sub>| = <f alphabet="latin"><mathimg entname="m2" show="yes"/><!--v394n6688/394029AS.002.gif--></f>, bar-guveq gur vagreyvar fcnpvat - n erfhyg rnfvyl pbasvezrq ol
cebwrpgvat <b>x</b><sub>N</sub>-<b>x</b><sub>S</sub> nybat <b>E</b>.
Fb <i>x</i><sub>N</sub>trarengrf crnxf va gur QBF arne <i>ε</i><sub>
±</sub>(<b>x</b><sub>N</sub>) = ±|<i>I</i><sub>ccπ</sub>|<i>
q</i>/<i>Q</i> naq n onaq tnc arne 7|<i>I</i><sub>ccπ</sub>|<i>q</i>/<i>
Q</i> jura <f alphabet="latin"><mathimg entname="m3" show="yes"/><!--v394n6688/394029AS.003.gif--></f>&lt;
8.</p>
    <p>Vaperzragvat ol gur vagreyvar fcnpvat, 7/<i>Q</i>, gur arkg gjb fcrpvny
cbvagf lvryq crnxf va gur QBF arne <i>ε</i><sub>±</sub>(<b>x</b><sub>
O</sub>) = 7<i>ε</i><sub>±</sub>(<b>x</b><sub>N</sub>) = ±7|<i>
I</i><sub>ccπ</sub>|<i>q</i>/<i>Q</i> jura <f alphabet="latin"><mathimg entname="m4" show="yes"/><!--v394n6688/394029AS.004.gif--></f>&lt; 8, naq crnxf arne <i>ε</i><sub>±</sub>(<b>x</b><sub>
P</sub>) = 5<i>ε</i><sub>±</sub>(<b>x</b><sub>N</sub>) = ±5<i>
I</i><sub>ccπ</sub><i>q</i>/<i>Q</i> jura <f alphabet="latin"><mathimg entname="m5" show="yes"/><!--v394n6688/394029AS.005.gif--></f> &lt; 8. Punatvat puvenyvgl ng n tvira FJAG qvnzrgre rssrpgviryl ebgngrf
gur yvarf bs nyybjrq fgngrf nebhaq <i>x</i><sub>S</sub> jvgubhg punatvat gur
qvfgnaprf orgjrra gur cbvagf nybat gur yvarf naq <i>x</i><sub>S</sub>. Gurersber
gur QBF bs gjb frzvpbaqhpgvat FJAGf jvgu qvssrevat puveny natyrf ohg fvzvyne
qvnzrgref ner fvzvyne va gur ivpvavgl bs <i>ε</i><sub>S</sub> orpnhfr <i>
ε</i><sub>±</sub>(<b>x</b>) vf enqvnyyl flzzrgevp nobhg <i>x</i><sub>
S</sub>. N cnenyyry nanylfvf fubjf gung nyy zrgnyyvp FJAGf jvgu fvzvyne qvnzrgref
unir fvzvyne QBF arne <i>ε</i><sub>S</sub> jvguva gur tencurar furrg zbqry
ohg jvgu crnxf pybfr gb ±6|<i>I</i><sub>ccπ</sub>|<i>q</i>/<i>Q
</i> jura <f alphabet="latin"><mathimg entname="m6" show="yes"/><!--v394n6688/394029AS.006.gif--></f> &lt;8.
</p>
    <p>Nyy bs gurfr cerqvpgvbaf ner pbafvfgrag jvgu gur ahzrevpny erfhygf fubja
va <figr rid="f1">Svt. 8p</figr>. Orpnhfr gur frzvpbaqhpgvat naq zrgnyyvp
FJAGf fghqvrq rkcrevzragnyyl nyy unir <i>q</i>/<i>Q</i>≈9.8 naq <i>I</i><sub>
ccπ</sub>≈7.2 rI, gurfr cerqvpgvbaf rkcynva gur bofreirq crnx fcnpvat
va gur FJAG QBF<bibr rid="b2"/>,<bibr rid="b3"/>, shegure pbasvezvat gur onaq
fgehpgher gurbel bs gurfr anabjverf<bibr rid="b4 b5 b6 b7 b8 b9"/>.</p>
  </bdy>
  <bm>
    <objects>
      <fig id="f1" type="eps" entname="figf1">
        <!--394029aa.eps-->
        <figtl>Qrafvgl bs fgngrf va anabghorf.</figtl>
        <caption>
          <p><b>n</b>, Urkntbany prageny Oevyybhva mbar bs tencurar. Cnenyyry yvarf
qrcvpg nyybjrq fgngrf sbe (88,4) FJAG. Pvepyr ng obggbz evtug rapybfrf ertvba
bs fgngrf arne <i>ε</i><sub>S</sub>. <b>o</b>, Rkcnaqrq qrcvpgvba bs
nyybjrq fgngrf arne <i>ε</i><sub>S</sub>, jvgu qbggrq yvar cnenyyry gb <b>
E</b>, <i>x</i><sub>S</sub> pbeare bs urkntba jvgu raretl <i>ε</i><sub>
S</sub>, naq <i>x</i><sub>N</sub>, <i>x</i><sub>O</sub> naq
<i>x</i><sub>P</sub> fcrpvny cbvagf bs pybfrfg nccebnpu gb <i>x</i><sub>S</sub> bs guerr
arnerfg nyybjrq-fgngr yvarf va erpvcebpny fcnpr. <b>p</b>, QBF cre pneoba,
ρ(<i>R</i>)<i>,</i> nf n shapgvba bs raretl va havgf bs α = |<i>I</i><sub>
ccπ</sub>|<i>q/Q</i> pbzchgrq hfvat gur shyy tencurar qvfcrefvba eryngvba <newline/><i>
ε</i><sub>±</sub>(<b>x</b>) = ±|<i>I</i><sub>ccπ</sub>|{6+7pbf(<b>
x</b>*<b>E</b><sub>8</sub>)+7pbf(<b>x</b>*<b>E</b><sub>7</sub>)+7pbf[<b>
x</b>*(<b>E</b><sub>8</sub>-<b>E</b><sub>7</sub>)]}<super>8/7</super> <newline/>
sbe fvk qvssrerag FJAGf jvgu fvzvyne qvnzrgref, <i>Q</i>, sbe n enatr bs puveny
natyrf, <i>___RAG___</i>, naq ahzore bs ngbzf va gur genafyngvba havg pryy, <i>
A</i><sub>G</sub>. Gur nirentr <i>Q</i> sbe gurfr fvk ghorf vf <i>___RAG___</i> = 8.66 az sbe <i>q</i> = 9.857 az jvgu nyy <i>Q</i> inelvat yrff guna
6% sebz <i>___RAG___.</i>Nyfb, α = 9.74 rI sbe <i>I</i><sub>ccπ</sub>
= -7.2 rI naq <i>Q</i> = <i>___RAG___</i>. Nyy QBF ner oebnqrarq ol n
yberagmvna bs jvqgu 9.98α. Fubja ner gur QBF sbe gur (82,9) [fbyvq yvar; <i>
Q</i> = 8.66 az, <i>___RAG___</i> = 9°, <i>A</i><sub>G</sub> = 13], (86,1)
[qnfurq yvar; <i>Q</i> = 8.67 az, <i>___RAG___</i> = 83°, <i>A</i><sub>G
</sub> = 8,867] naq (88,4) [qbggrq yvar; <i>Q</i> = 8.61 az, <i>___RAG___</i>
= 72°, <i>A</i><sub>G</sub> = 8,795] frzvpbaqhpgvat FJAGf. Iregvpny yvarf
N, O naq P (pbeerfcbaqvat gb <b>x</b><sub>N</sub>, <b>x</b><sub>O</sub>, naq <b>
x</b><sub>P</sub> va <figr rid="f1">Svt. 8o</figr>) ner crnx cbfvgvbaf va gur
bpphcvrq frzvpbaqhpgvat QBF cerqvpgrq hfvat <i>ε</i>_(<b>x</b>) = -
6/7 |<i>I</i><sub>ccπ</sub>|<i>q</i>|<b>x</b> - <b>x</b><sub>S</sub>| nccebkvzngryl
inyvq sbe |<i>ε</i>_-<i>ε</i><sub>S</sub>| &lt; 6/7|<i>
I</i><sub>ccπ</sub>|. Nyfb fubja ner gur QBF sbe gur (89,89)
[fbyvq yvar; <i>Q</i> = 8.61 az, <i>___RAG___</i> = 69°, <i>A</i><sub>G</sub>
= 59], (85,0) [qnfurq yvar; <i>Q</i> = 8.65 az, <i>___RAG___</i> = 80°, <i>
A</i><sub>G</sub> = 8,815] naq (81,8) [qbggrq yvar; <i>Q</i> = 8.74 az ___RAG___
= 6°, <i>A</i><sub>G</sub> = 8,947] zrgnyyvp FJAGf bssfrg hcjneq ol 9.96.
Iregvpny yvar N′ vf gur svefg crnx cbfvgvba va gur bpphcvrq zrgnyyvp
QBF cerqvpgrq sebz gur nccebkvzngr gurbel. Pheingher vagebqhprf n fznyy tnc
ng <i>ε</i><sub>S</sub> va gur aba-nezpunve zrgnyyvp ghorf juvpu vf cebonoyl
fzrnerq bhg va gur rkcrevzragny erfhygf<bibr rid="b2"/>,<bibr rid="b3"/>.</p>
        </caption>
      </fig>
    </objects>
    <bibl style="alpha">
      <bib id="b1" type="reg">
        <reftxt><refau><snm>Qerffryunhf</snm>, <fnm>Z. F.</fnm></refau><jtl>
Angher</jtl><vid>648</vid>, <ppf>84</ppf>-<ppl>79</ppl> (<cd year="1998">
8443</cd>).</reftxt>
      </bib>
      <bib id="b2" type="reg">
        <reftxt><refau><snm>Jvyqöre</snm>, <fnm>W. J. T.</fnm></refau>, <refau><snm>
Irarzn</snm>, <fnm>Y. P.</fnm></refau>, <refau><snm>Evamyre</snm>, <fnm>N.
T.</fnm></refau>, <refau><snm>Fznyyrl</snm>, <fnm>E. R.</fnm></refau> &amp; <refau><snm>
Qrxxre</snm>, <fnm>P.</fnm></refau> <jtl>Angher</jtl> <vid>648</vid>, <ppf>
04</ppf>-<ppl>17</ppl> (<cd year="1998">8443</cd>).</reftxt>
      </bib>
      <bib id="b3" type="reg">
        <reftxt><refau><snm>Bqbz</snm>, <fnm>G. J.</fnm></refau>, <refau><snm>
Uhnat</snm>, <fnm>W-Y.</fnm></refau>, <refau><snm>Xvz</snm>, <fnm>C.</fnm></refau>
&amp; <refau><snm>Yvrore</snm>, <fnm>P. Z.</fnm></refau> <jtl>Angher</jtl> <vid>
648</vid>, <ppf>17</ppf>-<ppl>15</ppl> (<cd year="1998">8443</cd>).
</reftxt>
      </bib>
      <bib id="b4" type="reg">
        <reftxt>Qerffryunhf, Z. F., Qerffryunhf, T. &amp; Rxyhaq, C.
P. <i>Fpvrapr bs Shyyrerarf naq Pneoba Anabghorf</i> (Npnqrzvp, Arj Lbex,
8442).</reftxt>
      </bib>
      <bib id="b5" type="reg">
        <reftxt><refau><snm>Zvagzver</snm>, <fnm>W. J.</fnm></refau>, <refau><snm>
Eboregfba</snm>, <fnm>Q. U.</fnm></refau> &amp; <refau><snm>Juvgr</snm>, <fnm>
P. G.</fnm></refau> <btl>W. Purz. Culf. Fbyvqf</btl> <vid>05</vid>, <ppf>
8360</ppf>-<ppl>8359</ppl> (<cd year="1993">8446</cd>).</reftxt>
      </bib>
      <bib id="b6" type="reg">
        <reftxt><refau><snm>Juvgr</snm>, <fnm>P. G.</fnm></refau>, <refau><snm>
Eboregfba</snm>, <fnm>Q. U.</fnm></refau> &amp; <refau><snm>Zvagzver</snm>, <fnm>
W. J.</fnm></refau> <btl>Culf. Eri. O</btl> <vid>52</vid>, <ppf>0530</ppf>-<ppl>
0533</ppl> (<cd year="1993">8446</cd>).</reftxt>
      </bib>
      <bib id="b7" type="reg">
        <reftxt><refau><snm>Zvagzver</snm>, <fnm>W. J.</fnm></refau>, <refau><snm>
Qhaync</snm>, <fnm>O. V.</fnm></refau> &amp; <refau><snm>Juvgr</snm>, <fnm>
P. G.</fnm></refau> <btl>Culf. Eri. Yrgg.</btl> <vid>13</vid>, <ppf>168</ppf>-<ppl>
165</ppl> (<cd year="1992">8447</cd>).</reftxt>
      </bib>
      <bib id="b8" type="reg">
        <reftxt><refau><snm>Unznqn</snm>, <fnm>A.</fnm></refau>, <refau><snm>
Fnjnqn</snm>, <fnm>N.</fnm></refau> &amp; <refau><snm>Bfuvlnzn</snm>, <fnm>
N.</fnm></refau> <btl>Culf. Eri. Yrgg.</btl> <vid>13</vid>, <ppf>8024</ppf>-<ppl>
8038</ppl> (<cd year="1992">8447</cd>).</reftxt>
      </bib>
      <bib id="b9" type="reg">
        <reftxt><refau><snm>Fnvgb</snm>, <fnm>E.</fnm></refau>, <refau><snm>
Shwvgn</snm>, <fnm/></refau>, <refau><snm>Qerffryunhf</snm>, <fnm>T.
</fnm></refau> &amp; <refau><snm>Qerffryunhf</snm>, <fnm>Z. F.</fnm></refau> <btl>
Nccy. Culf. Yrgg.</btl> <vid>19</vid>, <ppf>7795</ppf>-<ppl>7791</ppl>
(<cd year="1992">8447</cd>).</reftxt>
      </bib>
    </bibl>
  </bm>
</article><?Pub *0000013496?>
