Expansion typically begins through a combination of exploration, economic opportunity, and the desire for resources or territory. It often involves migration, colonization, or military conquest. Expansion can end due to various factors such as resource depletion, conflicts, resistance from indigenous populations, or shifts in political power. Ultimately, it may transition into consolidation or retraction as new boundaries and relationships are established.
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The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.
The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.The symbol of the end of Rome's northern expansion was the Antonine Wall across Scotland.
If you refer to the fact that the expansion of the Universe is accelerating, it is not currently clear whether this will end at all, or when.
Begin: Stock Market Crash End: WW2
The Analogy to begin is to end as actor is to actress.
The End Is Where We Begin was created on 2009-09-14.
Austria...................
to allow for expansion and contraction
The day when a pay period will end and begin will depend on the employer. Most pay periods end on Thursday and begin on Friday.
Quicksort in any programming language is an algorithm for sorting data sequences. It is typically implemented as follows (example demonstrates a quicksort of an array of type int). Note that a half-open range, [begin:end), includes the one-past-the-end of the range and is the conventional means of defining a range of contiguous array values. When begin==end, the range is deemed empty. // forward declarations void qsort (int* unsigned); // this is the function you will actually invoke void qsort_rec (int*, int*); // recursive function int* partition (int*, int*); // utility functions... int* select_pivot (int*, int*); void swap (int*, int*); int count (int*, int*); // sort a data sequence of length size void qsort (int* data, unsigned size) { qsort_rec (data, data + size); } // recursively sort the half-open range [begin:end) void qsort_rec (int* begin, int* end) { if (count (begin, end) < 2) return; // end point of recursion int* pivot = partition (begin, end); qsort_rec (begin, pivot); qsort_rec (++pivot, end); } // divide the half-open range [begin:end) into two around a pivot value int* partition (int* begin, int* end) { if (count (begin, end) < 2) return begin; int* pivot = select_pivot (begin, end); swap (begin, pivot); --end; while (begin != end) { while (*(begin) <= *pivot && begin != end) ++begin; while (*pivot < *(end) && begin != end) --end; if (begin!=end) swap (begin, end); } assert (begin==end); // sanity check! swap (pivot, begin); return begin; } // select the median of three from a half-open range [begin:end) int* select_pivot (int* begin, int* end) { int* mid = begin + (count (begin, end) / 2); if (*end<*begin) swap (begin, end); if (*mid<*begin) swap (begin, mid); if (*end<*mid) swap (mid, end); return end; } // swap the values referred to by p and q void swap (int* p, int* q) { if (!p !q) return; // sanity check! int t = *p; *p = *q; *q = t; } // count the elements in the half-closed range [begin:end) int count (int* begin, int* end) { int cnt = 0; int add; if (begin>end) { // swap pointers if the range is reversed int* t = begin; begin = end; end = t; add = -1; // count will be negative } else { add = 1; // count will be positive } while (begin++!=end) cnt+=add; return cnt; }
There is no end to pi.