the fact that you understand *any*is cause enough, in my book*.
* This slim volume here, entitled 'My Knowledge of Stuff'
(* This slim volume here, entitled 'My Knowledge of Stuff'
J Peasemould Gruntfuttock Alpha Mike Foxtrot,
Wed 3 Jun 2009, 13:53,
archived)
well, cauchy sequences are easy enough to get your head around.add up a bunch of stuff that is getting increasingly smaller and eventually you get a final number.
Here's something I writted myself:
The presence of a shell dramatically changes the response to an acoustic driving pressure pulse. To successfully model the behaviour of modern contrast agents the shell layer must be considered. The differences in the acoustic response between and a bubble without a shell and a bubble with a shell were shown in Section (\ref{sec:church}). In general the behaviour of contrast agents is also greatly affected by the shell properties. The highly nonlinear stable cavitation bubble oscillations are reduced by the shell. The presence of the shell will make the bubble more viscous, hence, more of the energy from the pulse will be absorbed and converted to heat, rather than being scattered or radiated by the bubble. Several models exist for the shell layer, such as the viscoelastic model studied here. It is possible to use different rheological models, and no one model is considered to be completely encompassing of all the contrast agents.
(,
Wed 3 Jun 2009, 13:57,
archived)
Here's something I writted myself:
The presence of a shell dramatically changes the response to an acoustic driving pressure pulse. To successfully model the behaviour of modern contrast agents the shell layer must be considered. The differences in the acoustic response between and a bubble without a shell and a bubble with a shell were shown in Section (\ref{sec:church}). In general the behaviour of contrast agents is also greatly affected by the shell properties. The highly nonlinear stable cavitation bubble oscillations are reduced by the shell. The presence of the shell will make the bubble more viscous, hence, more of the energy from the pulse will be absorbed and converted to heat, rather than being scattered or radiated by the bubble. Several models exist for the shell layer, such as the viscoelastic model studied here. It is possible to use different rheological models, and no one model is considered to be completely encompassing of all the contrast agents.
you're starting to scare me now...;-)
( J Peasemould Gruntfuttock Alpha Mike Foxtrot,
Wed 3 Jun 2009, 14:05,
archived)