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<DIV><SPAN class=867465013-26012011><FONT face=Calibri>Dear
all,</FONT></SPAN></DIV>
<DIV><SPAN class=867465013-26012011><FONT
face=Calibri></FONT></SPAN> </DIV>
<DIV><SPAN class=867465013-26012011><FONT face=Calibri>is it a stupid question
in asking why the condition herebellow leads to an error ?</FONT></SPAN></DIV>
<DIV><SPAN class=867465013-26012011><FONT
face=Calibri></FONT></SPAN> </DIV>
<DIV><FONT face=Calibri><SPAN class=867465013-26012011><EM><U>Nota</U></EM>
: </SPAN><SPAN class=867465013-26012011> </SPAN></FONT></DIV>
<DIV><SPAN class=867465013-26012011><FONT face=Calibri>- I just want to keep the
integer values resulting from the root finding ... </FONT></SPAN></DIV>
<DIV><SPAN class=867465013-26012011><FONT face=Calibri>- (if + r_) leads to en
error while the formula works <SPAN style="COLOR: rgb(0,0,0)">T2_</SPAN>
</FONT><FONT face=Calibri><FONT color=#000000><SPAN
style="COLOR: rgb(92,92,92)">=</SPAN> <SPAN style="COLOR: rgb(0,0,0)">T0_</SPAN>
<SPAN style="COLOR: rgb(92,92,92)">/</SPAN> <SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">1</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">+</SPAN> <SPAN
style="COLOR: rgb(188,143,143)">0.5</SPAN><SPAN
style="COLOR: rgb(92,92,92)">*</SPAN><SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(0,0,0)">gamma_</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">-</SPAN> <SPAN
style="COLOR: rgb(188,143,143)">1</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(92,92,92)">*</SPAN><SPAN
style="COLOR: rgb(0,0,0)">r_(1)</SPAN><SPAN
style="COLOR: rgb(92,92,92)">^</SPAN><SPAN
style="COLOR: rgb(188,143,143)">2</SPAN><SPAN style="COLOR: rgb(74,85,219)">)
??</SPAN><BR></FONT><BR></FONT></SPAN></DIV>
<DIV><SPAN class=867465013-26012011><FONT face=Calibri>Another (stupid) question
: </FONT></SPAN></DIV>
<DIV><SPAN class=867465013-26012011><FONT face=Calibri>- is it possible to
perform a root finding with real exponents instead of integer ones ? if so how
?</FONT></DIV></SPAN>
<DIV><FONT face=Calibri><SPAN class=867465013-26012011>- the
exponents typically look like [ 0.5*(gamma_ + 1) / (gamma_ - 1) ]:
</SPAN></FONT></DIV>
<DIV><FONT face=Calibri><SPAN
class=867465013-26012011></SPAN></FONT> </DIV>
<DIV><FONT face=Calibri><SPAN class=867465013-26012011>Thanks everybody for
(previous and futur) advices</SPAN></FONT></DIV>
<DIV><FONT face=Calibri><SPAN
class=867465013-26012011></SPAN></FONT> </DIV>
<DIV><FONT face=Calibri><SPAN class=867465013-26012011>Paul</SPAN></FONT></DIV>
<DIV><FONT size=2 face=Arial></FONT> </DIV>
<DIV><FONT size=2 face=Arial><SPAN
class=867465013-26012011>######################################################################"</SPAN></FONT></DIV>
<DIV><SPAN style="COLOR: rgb(0,0,0)">x</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">=</SPAN> <SPAN
style="COLOR: rgb(50,185,185)">poly</SPAN><SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">0</SPAN><SPAN
style="COLOR: rgb(0,0,0)">,</SPAN><SPAN
style="COLOR: rgb(188,143,143)">"</SPAN><SPAN
style="COLOR: rgb(188,143,143)">x</SPAN><SPAN
style="COLOR: rgb(188,143,143)">"</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(0,0,0)">;</SPAN><BR><SPAN style="COLOR: rgb(0,0,0)">p</SPAN>
<SPAN style="COLOR: rgb(92,92,92)">=</SPAN> <SPAN
style="COLOR: rgb(188,143,143)">1</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">+</SPAN> <SPAN
style="COLOR: rgb(0,0,0)">coef_1</SPAN><SPAN
style="COLOR: rgb(92,92,92)">*</SPAN><SPAN style="COLOR: rgb(0,0,0)">x</SPAN>
<SPAN style="COLOR: rgb(92,92,92)">+</SPAN> <SPAN
style="COLOR: rgb(0,0,0)">coef_2</SPAN><SPAN
style="COLOR: rgb(92,92,92)">*</SPAN><SPAN
style="COLOR: rgb(0,0,0)">x</SPAN><SPAN
style="COLOR: rgb(92,92,92)">^</SPAN><SPAN
style="COLOR: rgb(188,143,143)">2</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">+</SPAN> <SPAN
style="COLOR: rgb(0,0,0)">coef_4</SPAN><SPAN
style="COLOR: rgb(92,92,92)">*</SPAN><SPAN
style="COLOR: rgb(0,0,0)">x</SPAN><SPAN
style="COLOR: rgb(92,92,92)">^</SPAN><SPAN
style="COLOR: rgb(188,143,143)">4</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">+</SPAN> <SPAN
style="COLOR: rgb(0,0,0)">coef_6</SPAN><SPAN
style="COLOR: rgb(92,92,92)">*</SPAN><SPAN
style="COLOR: rgb(0,0,0)">x</SPAN><SPAN
style="COLOR: rgb(92,92,92)">^</SPAN><SPAN
style="COLOR: rgb(188,143,143)">6</SPAN> <SPAN
style="COLOR: rgb(0,0,0)">;</SPAN><BR><SPAN style="COLOR: rgb(0,0,0)">r_</SPAN>
<SPAN style="COLOR: rgb(92,92,92)">=</SPAN> <SPAN
style="COLOR: rgb(50,185,185)">roots</SPAN><SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(0,0,0)">p</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(0,0,0)">;</SPAN><BR><BR><SPAN
style="COLOR: rgb(160,32,240)"><SPAN class=867465013-26012011>i</SPAN>f</SPAN>
<SPAN style="COLOR: rgb(74,85,219)">(</SPAN> <SPAN
style="COLOR: rgb(0,0,0)">r_</SPAN><SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">1</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN> <SPAN
style="COLOR: rgb(92,92,92)"><</SPAN> <SPAN
style="COLOR: rgb(188,143,143)">1</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN> <SPAN
style="COLOR: rgb(160,32,240)">then</SPAN><BR> <SPAN
style="COLOR: rgb(0,0,0)">Mach2</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">=</SPAN> <SPAN
style="COLOR: rgb(0,0,0)">r_</SPAN><SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">1</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(0,0,0)">;</SPAN><BR> <SPAN
style="COLOR: rgb(0,0,0)">Mach3</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">=</SPAN> <SPAN
style="COLOR: rgb(0,0,0)">r_</SPAN><SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">2</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(0,0,0)">;</SPAN><BR><SPAN
style="COLOR: rgb(160,32,240)">else</SPAN><BR> <SPAN
style="COLOR: rgb(0,0,0)">Mach2</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">=</SPAN> <SPAN
style="COLOR: rgb(0,0,0)">r_</SPAN><SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">2</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(0,0,0)">;</SPAN><BR> <SPAN
style="COLOR: rgb(0,0,0)">Mach3</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">=</SPAN> <SPAN
style="COLOR: rgb(0,0,0)">r_</SPAN><SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">1</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(0,0,0)">;</SPAN><BR><SPAN
style="COLOR: rgb(160,32,240)">end</SPAN></DIV>
<DIV><SPAN style="COLOR: rgb(160,32,240)"></SPAN> </DIV>
<DIV><SPAN style="COLOR: rgb(160,32,240)"><SPAN
style="FONT-STYLE: italic; COLOR: rgb(1,168,1)">// <SPAN
class=867465013-26012011>Before the sonic col</SPAN></SPAN></SPAN></DIV>
<DIV><SPAN style="COLOR: rgb(160,32,240)"><SPAN
style="FONT-STYLE: italic; COLOR: rgb(1,168,1)"><SPAN
class=867465013-26012011></SPAN></SPAN><SPAN
style="COLOR: rgb(0,0,0)">P2_</SPAN> <SPAN style="COLOR: rgb(92,92,92)">=</SPAN>
<SPAN style="COLOR: rgb(0,0,0)">P0_</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">/</SPAN> <SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">1</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">+</SPAN> <SPAN
style="COLOR: rgb(188,143,143)">0.2</SPAN><SPAN
style="COLOR: rgb(92,92,92)">*</SPAN><SPAN
style="COLOR: rgb(0,0,0)">r_</SPAN><SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">1</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(92,92,92)">^</SPAN><SPAN
style="COLOR: rgb(188,143,143)">2</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(92,92,92)">^</SPAN><SPAN
style="COLOR: rgb(188,143,143)">3.5</SPAN><SPAN
style="COLOR: rgb(0,0,0)">;</SPAN><BR><SPAN style="COLOR: rgb(0,0,0)">T2_</SPAN>
<SPAN style="COLOR: rgb(92,92,92)">=</SPAN> <SPAN
style="COLOR: rgb(0,0,0)">T0_</SPAN> <SPAN style="COLOR: rgb(92,92,92)">/</SPAN>
<SPAN style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">1</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">+</SPAN> <SPAN
style="COLOR: rgb(188,143,143)">0.5</SPAN><SPAN
style="COLOR: rgb(92,92,92)">*</SPAN><SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(0,0,0)">gamma_</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">-</SPAN> <SPAN
style="COLOR: rgb(188,143,143)">1</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(92,92,92)">*</SPAN><SPAN
style="COLOR: rgb(0,0,0)">Mach2</SPAN><SPAN
style="COLOR: rgb(92,92,92)">^</SPAN><SPAN
style="COLOR: rgb(188,143,143)">2</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(0,0,0)">;</SPAN><BR><BR><SPAN
style="FONT-STYLE: italic; COLOR: rgb(1,168,1)">// <SPAN
class=867465013-26012011>After the sonic col</SPAN></SPAN></SPAN></DIV>
<DIV><SPAN style="COLOR: rgb(160,32,240)"><SPAN
style="FONT-STYLE: italic; COLOR: rgb(1,168,1)"><SPAN
class=867465013-26012011></SPAN></SPAN><SPAN
style="COLOR: rgb(0,0,0)">P3_</SPAN> <SPAN style="COLOR: rgb(92,92,92)">=</SPAN>
<SPAN style="COLOR: rgb(0,0,0)">P0_</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">/</SPAN> <SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">1</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">+</SPAN> <SPAN
style="COLOR: rgb(188,143,143)">0.2</SPAN><SPAN
style="COLOR: rgb(92,92,92)">*</SPAN><SPAN
style="COLOR: rgb(0,0,0)">r_</SPAN><SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">2</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(92,92,92)">^</SPAN><SPAN
style="COLOR: rgb(188,143,143)">2</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(92,92,92)">^</SPAN><SPAN
style="COLOR: rgb(188,143,143)">3.5</SPAN><SPAN
style="COLOR: rgb(0,0,0)">;</SPAN><BR><SPAN style="COLOR: rgb(0,0,0)">T3_</SPAN>
<SPAN style="COLOR: rgb(92,92,92)">=</SPAN> <SPAN
style="COLOR: rgb(0,0,0)">T0_</SPAN> <SPAN style="COLOR: rgb(92,92,92)">/</SPAN>
<SPAN style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(188,143,143)">1</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">+</SPAN> <SPAN
style="COLOR: rgb(188,143,143)">0.5</SPAN><SPAN
style="COLOR: rgb(92,92,92)">*</SPAN><SPAN
style="COLOR: rgb(74,85,219)">(</SPAN><SPAN
style="COLOR: rgb(0,0,0)">gamma_</SPAN> <SPAN
style="COLOR: rgb(92,92,92)">-</SPAN> <SPAN
style="COLOR: rgb(188,143,143)">1</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(92,92,92)">*</SPAN><SPAN
style="COLOR: rgb(0,0,0)">Mach3</SPAN><SPAN
style="COLOR: rgb(92,92,92)">^</SPAN><SPAN
style="COLOR: rgb(188,143,143)">2</SPAN><SPAN
style="COLOR: rgb(74,85,219)">)</SPAN><SPAN
style="COLOR: rgb(0,0,0)">;</SPAN></DIV></SPAN></BODY></HTML>
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