Difference: ClicAverageTheory (5 vs. 6)

Revision 604 Sep 2012 - FrancisCullinan

Line: 1 to 1
 
META TOPICPARENT name="ClicBpm"

Theoretical Investigation of Multiple Bunch Signals

Line: 59 to 59
  The factors given by Eq. (?? REFLATEX{4} not defined in eqn list ??) for different values of τ and ω after 1000 bunches are shown below. For a given frequency, it can be seen that %BEGINLATEX{label="5"}%\begin{equation*}
Changed:
<
<
\lim_{\tau \to \infty}\sum^{N}_{n=0}\exp \left[-\frac{nt_b}{\tau}\right] \sin (n \delta \omega t_b)=(\sinh (\delta\omega t_b))^{-1}.
>
>
\lim_{\tau \to \infty}\sum^{N}_{n=0}\exp \left[-\frac{nt_b}{\tau}\right] \sin (n \delta \omega t_b)=(\sinh (\delta\omega t_b))^{-1}
 \end{equation*}%ENDLATEX%
Added:
>
>
which are the values indicated on each graph by the dashed line.
  taufactor.png freqfactor.png
Line: 86 to 87
 
META FILEATTACHMENT attachment="freqfactor.png" attr="h" comment="" date="1346744320" name="freqfactor.png" path="freqfactor.png" size="47949" stream="freqfactor.png" user="Public.FrancisCullinan" version="2"
META FILEATTACHMENT attachment="convproof.png" attr="h" comment="" date="1346681663" name="convproof.png" path="convproof.png" size="71744" stream="convproof.png" user="Public.FrancisCullinan" version="2"
META FILEATTACHMENT attachment="freqproof.png" attr="h" comment="" date="1346744568" name="freqproof.png" path="freqproof.png" size="82265" stream="freqproof.png" user="Public.FrancisCullinan" version="3"
Changed:
<
<
META FILEATTACHMENT attachment="latex91cd8896da56b36796851235e4c770d6.png" attr="h" comment="" date="1346744386" name="latex91cd8896da56b36796851235e4c770d6.png" stream="GLOB(0x1cf7520)" user="Public.FrancisCullinan" version="1"
>
>
META FILEATTACHMENT attachment="latexb12dc05d55a8a56e8db88eb647c7a68a.png" attr="h" comment="" date="1346758413" name="latexb12dc05d55a8a56e8db88eb647c7a68a.png" stream="GLOB(0x1cf8410)" user="Public.FrancisCullinan" version="1"
 
This site is powered by the TWiki collaboration platform Powered by PerlCopyright © 2008-2022 by the contributing authors. All material on this collaboration platform is the property of the contributing authors.
Ideas, requests, problems regarding RHUL Physics Department TWiki? Send feedback