USS Oak Hill (LSD-7) was an Ashland-class dock landing ship of the United States Navy, named in honor of Oak Hill, the Virginia estate of President James Monroe (1758–1831).
Oak Hill, originally designated as a Mechanized Artillery Transport, APM-7, was laid down by the Moore Dry Dock Co., Oakland, California, 9 March 1943; launched on 25 June 1943, sponsored by Mrs. Robert E. Garrels; and commissioned on 5 January 1944, Commander Carl A. Peterson in command.
Following shakedown and amphibious training off southern California, Oak Hill, designed to serve as a cargo and transport type amphibious ship and as a floating dry dock, ferried cargo between the west coast and Hawaii. In early May she engaged in rehearsals for Operation Forager, the thrust into the Marianas, and, at the end of the month, sailed west in Task Group 52.16 (TG 52.16). With tank-bearing LCMs and troops of the 2nd Marine Division on board, she arrived in transport area off Saipan early on 15 June. Her boats soon away and headed for the beachhead, the LSD took up repair duties, working on LCMs, LCVPs and LCTs until the 22nd. She then headed back to Pearl Harbor to resume shuttling cargo and landing craft between Hawaii and the west coast.
USS Belle Grove (LSD-2) was a Ashland-class dock landing ship of the United States Navy, named in honor of Belle Grove Plantation, the birthplace of President James Madison (1751–1836) in Port Conway, Virginia.
Belle Grove was laid down on 27 October 1942 by the Moore Dry Dock Company, Oakland, California; launched on 17 February 1943, sponsored by Mrs. George M. Lowry; and commissioned at Oakland on 9 August 1943, Lieutenant Commander Morris Seavey, USNR, in command.
Following her shakedown cruise in the waters off southern California, Belle Grove sailed for Pearl Harbor on 21 October 1943. Upon arrival, the dock landing ship conducted several rehearsals for the upcoming invasion of the Gilbert Islands. In early November, she loaded troops and equipment and set sail for Makin Island. Arriving in the lagoon off Makin on 20 November, she unloaded her embarked troops and LCMs without incident later that morning. In company with Transport Division 20 (TransDiv 20), the ship cleared the island group that evening, returning to Pearl Harbor on 2 December.
USS Casa Grande (LSD-13) was a Casa Grande-class dock landing ship of the United States Navy, named in honor of Casa Grande Ruins National Monument near Coolidge, Arizona.
The ship was originally authorized under the Lend-Lease Act as BAPM-5, the fifth of seven British Mechanized Artillery Transports, to be named HMS Portway (F144). Reclassified a Landing Ship Dock, LSD-13, on 1 July 1942, the contract for LSD-13 was awarded to Newport News Shipbuilding and Dry Dock Co., Newport News, Virginia, on 10 September 1942. Renamed HMS Spear, LSD-13's keel was laid down, on 11 November 1943. While under construction, LSD-13, -14, and -15 were reassigned back to the United States. The ship was renamed Casa Grande, and, as the first of her class in the U.S. Navy, gave her name to the class.
Casa Grande was launched 11 April 1944, sponsored by Mrs. G. Delapalme; and commissioned 5 June 1944, Lieutenant Commander F. E. Strumm, USNR, in command.
Sailing from Hampton Roads 19 July 1944, Casa Grande was delayed at Balboa, Panama Canal Zone for repairs en route to Pearl Harbor, where she arrived 21 August. Here she offloaded landing craft brought from the east coast, and loaded men and equipment for the invasion of Yap. However, upon her arrival at Eniwetok on 25 September, she was ordered to Manus Island to prepare for the Leyte operation. Assigned to the Southern Attack Force, she entered Leyte Gulf uneventfully, and took part in the initial assault on 20 October. Her men worked at fever pace under enemy air attack as they launched their landing craft and serviced other small craft engaged in this triumphant return to the Philippines, and on 22 October, she withdrew for Hollandia. During the next month, she made two voyages from New Guinea to Leyte, ferrying reinforcements, and evacuating casualties.
In topology and related areas of mathematics, a subset A of a topological space X is called dense (in X) if every point x in X either belongs to A or is a limit point of A. Informally, for every point in X, the point is either in A or arbitrarily "close" to a member of A — for instance, every real number is either a rational number or has one arbitrarily close to it (see Diophantine approximation).
Formally, a subset A of a topological space X is dense in X if for any point x in X, any neighborhood of x contains at least one point from A (i.e., A has non-empty intersection with every non-empty open subset of X). Equivalently, A is dense in X if and only if the only closed subset of X containing A is X itself. This can also be expressed by saying that the closure of A is X, or that the interior of the complement of A is empty.
The density of a topological space X is the least cardinality of a dense subset of X.
An alternative definition of dense set in the case of metric spaces is the following. When the topology of X is given by a metric, the closure of A in X is the union of A and the set of all limits of sequences of elements in A (its limit points),
Dense is a 2004 American television short film directed and written by Vanessa Williams and Shari Poindexter, and aired on the TV channel Showtime.
A man gives his girlfriend an ultimatum: to drop her career to start a family or he will leave her. She begins to question the relationship realizing maybe she was dense.