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Shoaib and Misbah therefore had to bat sensibly, and fared admirably in a stand of 71 - which included a blatant Swann misfield at short third-man to concede an extra boundary in the final over, off a grimacing Dernbach.
A key step is to derive an extra boundary condition which uniquely identifies the corner wave.
The idea is to transform the equations and boundary conditions into another set of variables and also to augment an extra boundary condition.
Secondly, the uncontrolled Euler angle constraints, which should also be considered in AAR, are transformed into extra boundary commands for the angular rates.
Those benefits include (i) no extra boundary condition for the enrichment degree of freedom, and (ii) no need for transition/blending regions; both of which contribute to maintaining the scalability of the code.
This feature which is in contrast to several proposed theories, allows the problem of incremental equilibrium equations to be stated without higher-order stress, higher-order strain rates or extra boundary conditions.
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In our model, the only difference between an invasion and a range shift with a moving climate window is the presence of two extra boundaries in a shifting climate window, thereby limiting the population's spread.
When the Essex innings ended with a huge carve by Andre Adams to Ed Joyce on the extra cover boundary, Ten Doeschate's 44 had taken 37 balls.
Flintoff pulled Makhaya Ntini for four, rapidly, and in the same over sent the ball whizzing over the extra cover boundary, slightly more streakily.
2.48pm GMT 18th over: Bangladesh 124-5 (Nasir 10 Mahmadulla 31) A lovely bit of fielding on the extra cover boundary by Jadeja prevents four more as the batsman looks to launch Shami over cover.
Pollard struck Hafeez down the ground for six and a crunching drive to the extra cover boundary off Wahab reduced the requirement to 34.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com