I'm helping a colleague edit his paper before submission. He is a native French speaker and I am having trouble saying why "the" isn't necessary in "the threads" or in particular "the shared memory," other than it sounds wrong to me.
Perhaps it's because in this case there is only one "shared memory" in the system, so it would be like saying "I am driving through the Chicago?"
Within a thread block, the threads are divided into warps of 32 threads. These warps can synchronize, using barriers, in order to communicate through the shared memory.