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   https://doi.org/10.1029/2018JB016506  

   Rochester, M. G. ; Crossley, D. J. ; Chao, B. F. ( November 2018 , Journal of Geophysical Research: Solid Earth)

   The original paper by Chao (2017,https://doi.org/10.1002/2017JB014405), denoted C17, derived the period of the Earth's free inner‐core wobble (ICW) with a result which was both retrograde and substantially longer than the prograde period derived by previous authors. Here we correct major errors in C17, bringing the result into better agreement with previous derivations, and clarify the role of the various torques on the Earth's inner core (IC) as presented in C17. One serious discrepancy was the magnitude of, the zonal quadrupole of the mantle mass distribution, which is incorrectly evaluated in C17, with a value too large compared to those that have been previously well established for a hydrostatic Earth model. Moreover, an error in the kinematics of the ICW in C17 leads to a wrong sign for the gravitational torque exerted by the mantle on the IC. The combination of these errors led to the erroneous conclusion that the ICW is retrograde, with a much longer period (−15.6 yr) compared to previous derivations, which showed it to be prograde with a period of about +7 yr. In correcting C17, we elucidate the complete torque balance involved in the ICW.

    

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2. Earth's inner core rotation, 1971 to 1974, illuminated by inner-core scattered waves

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   Wang, Wei ; Vidale, John E. ( January 2022 , Earth and Planetary Science Letters)
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5. Pre-computing Function Results in Multi-Core and Many-Core Processors

   https://doi.org/10.1109/ICPPW.2011.46  

   Herrmann, Edward C. ; Janga, Prudhvi ; Wilsey, Philip A. ( September 2011 , International Workshop on Parallel Software Tools and Tool Infrastructures (PSTI 2011))

   In recent years, the number of hardware supported threads in desktop processors has increased dramatically. All but the very lowest cost netbooks and embedded processors now have at least dual cores and soon systems supporting upwards of 8 to 16 hardware threads are likely to be commonplace. Unfortunately, it will be difficult to take full advantage of the parallelism emerging processors will be able to provide. To help address this issue, we are investigating mechanisms to pre-compute function results in separate threads running concurrently with the main program thread. The concurrent threads are forked automatically and without program modification. A critical component for the success of this idea is an ability to build a background thread that can pre-compute usable results in some effective manner. For some support functions (dynamic memory) exact arguments predictions for the function pre-computation are not necessary, for others (trigonometric functions) they are. In work with dynamic memory, we are able to pre-compute memory blocks and show modest speedup: saving approximately 25% of the dynamic memory costs. In studies with predicting argument values to trigonometric functions, we show that learning algorithms are able to successfully predict the next argument values approximately 44% of the time. 

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