lower bounds sentence - lower bounds sentence in Hindi (31-40)

	31.	The lower bound, though, seems very hard.
	32.	Several variants of this lower bound have been proved.
	33.	Theoretically, exponential lower bounds have been proved for the DPLL family of algorithms.
	34.	In particular, David S . Johnson obtained a lower bound by computer experiment:
	35.	Only upper and lower bounds have been invented.
	36.	Lower bounds for and have not been improved since 1965 and 1972, respectively.
	37.	For others investigations have determined upper and lower bounds, but not exact solutions.
	38.	The best-known lower bounds are due to K . F . Roth.
	39.	When the Japanese economy fell into a period of prolonged Zero Lower Bound Problem.
	40.	These are lower bounds; the typical frequency is expected to be much higher.

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