Temporary spinal fixation apparatuses and methods are disclosed for temporarily fixing the relative position of spinal implant assemblies until a permanent fixation position is determined. Using the approximated defect wafer image and the approximated reference wafer image generated by these approximated wafer simulations, a defect maximum intensity difference is computed by subtracting one approximated wafer image from the other approximated wafer image to generate a difference image. The components of the PPP are interconnected with the crosspoint switch that routes data among the frame store controller, filtering unit, function circuits, external input channels, and external output channels. For the reveal paint operation, a paint application obtains a composite having multiple layers. The virtual sequence number facilitates stateless transmission of the encapsulated packets and allows the aggregate frame to have a maximum allowable number of packets while accommodating both re-transmitted packets and regular packets. The method includes: during cross carrier scheduling, the user equipment determines a search space for monitoring a physical downlink control channel according to the number of downlink component carriers in a PDCCH Monitoring Set and the number of downlink component carriers in a UE DL Component Carrier Set.