text stringlengths 4 7.07k | text_hash stringlengths 32 32 | __index_level_0__ int64 1 1.81M |
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It was also suggested that the Kir 'Shara itself was similar in context to the Nag Hammadi library , which was a collection of thirteen codices found in Nag Hammadi , Egypt , in 1945 that date back to between the 2nd to 5th centuries . Unlike those codices , the Vulcan High Council attempts to suppress the revelation ... | a8d6baf8ddadeaa3ec6f25e32fdb0209 | 27,938 |
= = Reception = =
| f8d79e3fcb54590ed5efe8209a7826d9 | 27,940 |
" Kir 'Shara " was first aired in the United States on UPN on December 3 , 2004 . The broadcast saw the episode come in fourth place during the timeslot , with a Nielsen rating of 2 @.@ 1 / 4 percent . This means that it was seen by 2 @.@ 1 percent of all households , and 4 percent of all those watching television at ... | 48ceb67dbc8aa9d3a9357275584b2b4d | 27,942 |
TV Guide listed " Kir 'Shara " on its Hot List for the day , while the preview by IGN said that the show " finally grows up and becomes a Star Trek series this week " . It described " Kir 'Shara " as " far from a perfectly executed Trek story but they get enough right to make it a lot easier to overlook the few things... | 16630bc986fdfe1070436a3c431a80c0 | 27,943 |
Herc , in his review for Ain 't It Cool News , praised the reliability of Jeffrey Combs as Shran , but thought that there were no major surprises . Herc did say that the biggest shock was the revelation that the Romulans were behind the bombing of the Human Embassy . He gave it a rating of three out of five . Michelle... | 2c3e31f1c34e2bc94c206d684b703340 | 27,944 |
= Meralda Warren =
| e99739f343bfc4be6e2c097c294b16f5 | 27,947 |
Meralda Elva Junior Warren ( born 28 June 1959 ) is an artist and poet of Pitcairn Island , a remote British Overseas Territory in the South Pacific . She works in both English and Pitkern , the island 's distinctive creole language . Her book , Mi Base side orn Pitcairn , written with the island 's six children , is ... | 5bd9fcdbb26f520bb5d0686a755d03bc | 27,949 |
Warren has also served as the island 's nurse , its only police officer , a ham radio operator , and as a member of the territory 's governing council , among many other roles .
| 8665d5451af4ad7e365b5c0446cbada3 | 27,950 |
= = Biography = =
| f37d5df0802199f139f28a57214fa52b | 27,952 |
Warren was born on Pitcairn Island on 28 June 1959 , the second child of Jacob Ralph " Chippie " Warren ( 1920 – 2007 ) and Mavis Mary Brown ( born 1936 ) . Warren is the sister of Jay Warren ( born 1950 ) who served as the third mayor of the Pitcairn Islands ( 2004 – 2007 ) , and previously as the colony 's 29th magi... | 3593ec96722f37581b9206cf19a25ffb | 27,954 |
= = = Artist , poet , author and many other jobs = = =
| 2a7f44185cf88f780d74988fd6264bfc | 27,956 |
Warren is a poet , and the author of two books , including Mi Base side orn Pitcairn ( " My Favourite Place on Pitcairn " ) , written with children on Pitcairn Island . It is the first book written and published in Pitkern and English .
| 73c48787b573b6b11fbcdcc610d13222 | 27,958 |
Her works include a cookbook , Taste of Pitcairn featuring the cuisine of the Pitcairn Islands , and poetry in both Pitkern and English . Pitkern is an English @-@ based creole language derived from eighteenth @-@ century English and Tahitian . She writes poetry in both English and Pitkern .
| c6c08cc567da73f7660502a007f5b891 | 27,959 |
In 2007 , Warren revived Pitcairn 's tradition of art created on tapa cloth , a woven bark cloth common in Polynesian culture . Her works have been displayed in museums and galleries in Tahiti , Norfolk Island , and New Zealand . In 2011 , she was one of seven artists awarded a Commonwealth Connections International A... | 6a64150123468f72a53cde788a3eef60 | 27,960 |
Pitcairn has a small population . The island 's 48 residents often serve in several capacities or jobs . Warren describes her many roles on her personal website :
| 3ede5c7874cd7c91fc2669a4273073a8 | 27,961 |
Travelling with patients to New Zealand and Tahiti and taking up Nursing , Radio Operator for the shore to ship skeds from ZBP station and twice daily contact with Auckland international Radio telephone link , Working in our Co @-@ op store , Council member for many years as well as being the Governors appointee membe... | d8086c265cae3af0b3ed319ba1058a4d | 27,962 |
Beginning in 1996 , Warren served as the island 's only police officer . However , since no one had been arrested on the island since the 1950s , her duties involved issuing driving licenses and stamping visitors ' passports . Warren had no qualifications or formal training to be a police officer , and was given the j... | 8bc279560de69ab2fa5bceb20e57c76a | 27,963 |
Warren was elected on 15 December 2004 to the Island Council . As a radio operator , she broadcasts under the call sign VP6MW .
| 57385b59c73abf4d1e70ff916f49312e | 27,964 |
= = = Pitcairn 's sexual abuse trial = = =
| a89678f4b84e3a58a90b6cfda0742082 | 27,966 |
Warren was an outspoken critic of accusations that the island 's girls had been sexually abused when young , and the prosecution of a selected number of Pitcairn 's male residents . She claimed that young girls on Pitcairn customarily became sexually active after age 12 , a practice of underage sex that had been accep... | 57eb1718856ffb93bf1ae3160d51ec8e | 27,968 |
Many Pitcairn Island men blamed the British police for persuading the women involved to press charges . Some of the women agreed , and advocated a conspiracy theory that the trial was , in Warren 's words , " a British plot to jail the [ community 's ] able @-@ bodied men and ' close ' the island " , and that the Brit... | ebbfda7156fa7859e878fe589b9742f5 | 27,969 |
A majority of the island 's residents denied or excused the allegations . During the trial , Warren circulated a poem titled " Is Seven a Lucky Number ? " that criticized the British government and lawyers ' attempts to impose British law against their island 's traditions .
| 4ef878d48d12802f058584f8e6443858 | 27,970 |
As the case wore on , Warren reflected that " the bottom had fallen out of our world … We lost our trust for each other . " Her brother , Jay Warren , who was accused of " indecent assault " , was the only defendant among the seven accused to be acquitted on 24 October 2004 .
| abdb113cc90c5cbd8def07bbc31735d3 | 27,971 |
Warren was convicted of assault during a drunken disagreement with another resident when the two were angered by tensions over the sexual abuse matter . The case was prosecuted by a Crown prosecutor and tried by a New Zealand magistrate . Warren was fined NZ $ 60 . The case cost the British government NZ $ 40 @,@ 000 ... | 089467b3c3a52a4d8d32f7bc5753e1b9 | 27,972 |
= = Works = =
| 3f9913517080c835f4eaf7caf609e2fa | 27,974 |
1986 : A Taste of Pitcairn : The First Pitcairn Island Cookbook ( cookbook )
| d2e93697cd75c500c5c480ddf14fdd92 | 27,976 |
2005 : A Taste of Pitcairn : The First Pitcairn Island Cookbook ( cookbook ) ( updated edition )
| 04284ad1179edd8f0828f3c56f25d524 | 27,977 |
2008 : Mi Base side orn Pitcairn ( " My Favourite Place on Pitcairn " ) , with 6 children on Pitcairn
| 2db8cb2509f0ea5c3fcc6c2de6717bb4 | 27,978 |
= 2nd Battalion 9th Marines =
| 5204ab7c4566744a87ff1b4b6daa0957 | 27,981 |
2nd Battalion , 9th Marines ( 2 / 9 ) was an infantry battalion of the United States Marine Corps . Formed during World War I , the unit played an instrumental role in the defeat of the Japanese forces in the Battles of Guam and Iwo Jima during the World War II . The battalion distinguished itself in the defense of Kh... | 1a2bf5c2c95fb500d44261d36b32f05a | 27,983 |
2 / 9 also participated in various humanitarian missions . The battalion helped evacuate Americans from Northern China during the Chinese Civil War and in various occasions participated in providing relief to the victims of typhoons . In 1992 , the battalion participated in Operation Restore Hope in Somalia .
| e693983477bb4c4967da78628821d1a7 | 27,984 |
2nd Battalion 9th Marines served until September 2 , 1994 , when it was deactivated to make room for one of three light armor reconnaissance battalions . It was part of the 9th Marine Regiment and the 3rd Marine Division . On July 13 , 2007 , 2nd Battalion 9th Marines was re @-@ activated again as part of the 6th Mari... | 692c9934eda628acef05a308becc2a49 | 27,985 |
= = Battalion composition = =
| 73ff79c52eeb9b6aec3a17f253ec1676 | 27,987 |
A Battalion in the Marine Corps is headed by the Battalion Commander , usually a Lieutenant Colonel and sometimes a Colonel , his staff , headquarters , and the Battalion Sergeant Major . It usually consists of 3 @-@ 5 companies , with a total of 300 to 1 @,@ 200 Marines . 2nd Battalion 9th Marines comprises a Headqua... | 811b9b6a3254cf46b06b8dbe96acd514 | 27,989 |
= = History = =
| fd3fc667e330e6e3944a4f085f9ef39d | 27,991 |
= = = Early years = = =
| 9c2e378800b41626c573706896818efd | 27,994 |
With the advent of World War I , the United States expanded the Armed Forces , to include the United States Marine Corps . The 2nd Battalion , 9th Marines ( also known as 2 / 9 ) was created and activated on November 20 , 1917 at Quantico , Virginia . During this period , there was turmoil in Cuba 's sugar producing r... | d2cd01b5a265f1211811039272db609b | 27,996 |
= = = World War II = = =
| 50cdc758b64f7f05d46e3c685a89a39c | 27,998 |
In April 1942 , five months after the Japanese attack on Pearl Harbor , the unit was activated as part of the 2nd Marine Division . The headquarters was at Camp Elliot in San Diego , California , where it underwent intensive amphibious training . Before being reassigned to the 3rd Marine Division , the unit was assign... | c94db111199bc535c474a1fca789718f | 28,000 |
The 2nd Battalion , 9th Marines were part of the reserve forces for the Battle of Iwo Jima and were committed to the action five days after D @-@ Day . Among the Marines who distinguished themselves on Iwo Jima was Private Wilson D. Watson who received the Medal of Honor . After the island was secured , the unit was s... | a0784dd86db4d8aa92e1c450b7f9e6d5 | 28,001 |
= = = Post World War II = = =
| 46f8ad3dec8164f953476ef4fd483b97 | 28,003 |
In November 1948 , 2nd Battalion , 9th Marines was again reestablished . The final stages of fighting between the Nationalists and the Communists , in the Chinese Civil War ( also known as the War of Liberation ) , occurred between 1945 and 1950 . When the fighting escalated , the 2nd Battalion , 9th Marines were orde... | 766f643d3b657558a74ee91053dde6d0 | 28,005 |
On June 25 , 1950 , war broke out between the provisional governments of North and South Korea as they competed for control over the Korean peninsula . North Korea was supported by the People 's Volunteer Army ( PVA ) of the People 's Republic of China and South Korea by the allies under the aegis of the United Nation... | ecf8615f8c11cc407272c1f6ff4d32a5 | 28,006 |
= = = Vietnam War = = =
| 002d08a92a29485f19fe5110f54794a6 | 28,008 |
The Vietnam War , was a conflict between the Democratic Republic of Vietnam ( DRVN , DRV or North Vietnam ) and the Republic of Vietnam ( RVN or South Vietnam ) , which eventually involved their respective allies . In 1959 , the United States sent military advisors to train the Army of the Republic of Vietnam . By 196... | 57059f468251e0edac3a8c5bbe26835b | 28,010 |
The 3d Marine Division began operating in Vietnam when on March 6 , 1965 , they opened a Marine Compound at the Da Nang Air Base . On July 4 , 1965 , 2nd Battalion , 9th Marines were ordered to Vietnam from Okinawa . 2nd Battalion , 9th Marines fought battles in or around Danang , Hue , Phu Bai , Đông Hà , Camp Carrol... | 87c3b6624c607ddd5f80b54ecb9ad16e | 28,011 |
In September 1962 , U.S. military forces constructed an airstrip outside the town of Khe Sanh which became known as the Khe Sanh Combat Base . In 1965 the U.S. Special Forces constructed a base next to it . The base 's defense was codenamed Operation Scotland and manned by the 2nd Battalion , 9th Marines from 1967 . I... | b7d7ac3098f2bc604118361eaaec81e1 | 28,012 |
From April to June 1966 , the 2 / 9 Marines were caught in crossfire of the Buddhist Uprising , when much of the forces of I Corps rebelled against Prime Minister and Air Marshal Nguyen Cao Ky , the head of the ruling junta , who had dismissed their commander , General Nguyen Chanh Thi .
| f40a6069e56b038a2d82e0f0af8f2d5a | 28,013 |
In April and May 1967 various " Hill Fights " on Hills 861 , 881 North and 881 South between the 2 / 9 Marines and NVA occurred . In January 1968 , Khe Sanh Combat Base came under heavy attack in what is known as the Battle of Khe Sanh . The main objective of the Communists was to draw off American troops into the cou... | eedf8c4367ebd05a4ec8eba53685fad8 | 28,014 |
From January 22 to March 18 , 1969 , 2 / 9 participated in Operation Dewey Canyon which was a sweep of the A Shau Valley and the last major offensive by the Marine Corps in Vietnam .
| 3853297ab966e8012e28f9290e69ce1f | 28,015 |
In August 1969 , 2nd Battalion , 9th Marines was ordered to return to Camp Schwab , Okinawa . During this period the unit was assigned to sea duty in and around the waters of Vietnam and continued to receive combat training at Camp Fuji , Japan and Subic Bay in the Philippines .
| 958274e254ee560d7d1cf63631c10968 | 28,016 |
= = = = Mayaguez Incident = = = =
| c1efc0784cf34913a5c393df4d9d2c0c | 28,018 |
On May 12 , 1975 , barely two weeks after the fall of Saigon , Khmer Rouge forces seized a U.S. flagged merchant ship , the SS Mayaguez in recognized international sea lanes claimed as territorial waters by Cambodia and removed its crew for questioning . The Khmer Rouge naval forces used abandoned US Navy " Swift Boat... | 512f8576aef87110ccd2749ca3dad2c6 | 28,020 |
Calling the seizure " piracy " , President Ford ordered a military response to retake the ship and its 39 @-@ man crew , mistakenly thought to be on Koh Tang Island . On May 13 , two A @-@ 7D Corsairs saw the 39 man crew board a fishing boat and saw people disembarking fishing boats at Koh Tang Island . They assumed t... | d8cb57c68d0f316d0f5a00c5c271ec14 | 28,021 |
= = = = Battle of Koh Tang Island = = = =
| f11bbb6f92591730495d4f6985e502f7 | 28,023 |
2nd Battalion , 9th Marines landed on Koh Tang Island where the crew of the SS Mayaguez was believed to be held , they were unaware that the crew was already in American hands . The Marines and the CH @-@ 53 helicopters which transported them , were attacked by the Khmer Rouge with machine guns , mortars , and rocket ... | f47589b1ef78b626c0bf22ceadd39173 | 28,025 |
The Mayagüez incident with the Khmer Rouge , which ended on May 15 , 1975 , marked the last official battle of the 2nd Battalion , 9th Marines in the Vietnam War . The unit deployment program was put into practice in February 1979 , and 2nd Battalion , 9th Marines became the first battalion to rotate to the United Sta... | fc547c96131d1632ecdd0d1a242cb3f6 | 28,026 |
= = = Post Vietnam era = = =
| bc2bb6b2aa1a00fcc705f7f9329c9114 | 28,028 |
= = = = Operations Desert Shield & Desert Storm = = = =
| f4660dc8ef0d1fa1fc53eca65484702c | 28,031 |
Before the August 2 , 1990 , invasion of Kuwait by Saddam Hussein 's Iraqi forces , 2nd Battalion , 9th Marines was deployed to Okinawa , Japan as part of the Unit Deployment Program . In October 1990 the unit deployed to the Republic of the Philippines where it became the Ground Combat Element of Marine Air @-@ Groun... | 9b3177d8fa4fe1fbae47adb2b355c2b9 | 28,033 |
= = = = Operation " Restore Hope " = = = =
| f78f99a0e7b039dc8a5d08c6d3c8bca0 | 28,035 |
The 5th Marine Regiment designated 2 / 9 to participate in the Marine Expeditionary Unit deployment cycle during November 1991 . With the successful culmination of the Special Operations Capable Exercise ( SOCEX ) , 2nd Battalion , 9th Marines became the designated Battalion Landing Team ( BLT ) for the 15th Marine Ex... | 9d8afccedcee620aedd429ac4fcbc616 | 28,037 |
During this period , there were two main factions in the Republic of Somalia who provoked an all out war which became known as the Somalian Civil War . One of the factions was led by Ali Mahdi Mohamed , who became president ; and the other , by the warlord Mohammed Farah Aidid .
| 365fe735283fe2779d8ccf0d57e39a68 | 28,038 |
In 1991 , the United States initiated Operation Provide Relief ( UNOSOM I ) which was part of a United Nations ( UN ) endorsed effort called The Unified Task Force ( UNITAF ) , to provide humanitarian relief . In August 1992 , President George H. Bush sent , 25 @,@ 000 US troops ( mostly US Marines from I MEF ) to the... | 67a78bbea77116c6ef6e538940f8fb6f | 28,039 |
That same month , 2nd Battalion , 9th Marines was deployed to Somalia . BLT 2 / 9 's mission as the lead unit , was to secure the port and airfield in Mogadishu which allowed the rapid build @-@ up of forces in @-@ country . The mission was accomplished between December 9 , 1992 and February 1993 . The Somalis referre... | eb93e59b7bd840f26ef831e0cefd69bc | 28,040 |
= = = 2000 @-@ present = = =
| c6422dd71c1aa962e8c824e29be22274 | 28,042 |
On December 7 , 2006 , Headquarters Marine Corps released a message stating that 2nd Battalion 9th Marines would be reactivated during 2007 as part of the continuing Global War on Terror . 2nd Battalion 9th Marines was re @-@ activated on July 13 , 2007 and replaced the Anti @-@ Terrorism Battalion ( ATBn ) . In Septe... | 7d5422bcd0be0e89d225c2fa68530f03 | 28,044 |
= = Medal of Honor recipients = =
| b761daad2680e6786db34c567a2ba598 | 28,046 |
The Medal of Honor is the highest military decoration awarded by the United States . It is bestowed on a member of the United States armed forces who distinguishes himself or herself " ... conspicuously by gallantry and intrepidity at the risk of his life above and beyond the call of duty while engaged in an action ag... | 564875a9034ec80ae329511ca2247ba6 | 28,048 |
= = Commandants of the Marine Corps = =
| e19137d8d2d954da1c7258b17d943dc7 | 28,050 |
The Commandant of the United States Marine Corps is the highest @-@ ranking officer of the United States Marine Corps and a member of the Joint Chiefs of Staff , reporting to the Secretary of the Navy but not to the Chief of Naval Operations . Three Marines who served in 2nd Battalion 9th Marines became Commandant of ... | 26ac7982e2677bb08c6e4e2086ea6734 | 28,052 |
= = Distinguished Marines = =
| 639c36e21c697d0f65f4df0446e79605 | 28,054 |
Other Marines who served in the 2nd Battalion 9th Marines during their careers , who subsequently distinguished themselves by either becoming a general officer ( O @-@ 7 and above ) or recipients of the Medal of Honor while assigned to a different unit were :
| 38a8e76f1707070096f6a68a8e4d563d | 28,056 |
= = Other notable former members = =
| 26311e71c8ddbe99336ab5ce3361faf3 | 28,058 |
Bing West , served in the mortar platoon during the Vietnam War in 1965 .
| cf71ab18005dc87f98f437c79927c4c5 | 28,060 |
= = Unit awards = =
| f46ee0af0a054d1f6dd7c5b67fe146d3 | 28,062 |
A unit citation or commendation is an award bestowed upon an organization for the action cited . Members of the unit who participated in said actions are allowed to wear on their uniforms the awarded unit citation . 2 / 9 has been presented with the following awards :
| 53d7803c1b1f5a3f1ff9bea261c55b44 | 28,064 |
= Directed acyclic graph =
| f579640d89fc42d85c1cc76574cc37b7 | 28,067 |
In mathematics and computer science , a directed acyclic graph ( DAG / ˈdæɡ / ) , is a finite directed graph with no directed cycles . That is , it consists of finitely many vertices and edges , with each edge directed from one vertex to another , such that there is no way to start at any vertex v and follow a consist... | bb19351de3dda94b36ca322877b17081 | 28,069 |
DAGs may be used to model many different kinds of information . The reachability relation in a DAG forms a partial order , and any finite partial order may be represented by a DAG using reachability . The program evaluation and review technique uses DAGs to model the milestones and activities of large human projects ,... | 352dc8d7742ee1cd01a08ac097e0046d | 28,070 |
Important polynomial time computational problems on DAGs include topological sorting ( finding a topological ordering ) , construction of the transitive closure and transitive reduction ( the largest and smallest DAGs with the same reachability relation , respectively ) , and the closure problem , in which the goal is... | 8825e50e6fbf477c28d1f97c2293958f | 28,071 |
The corresponding concept for undirected graphs is a forest , an undirected graph without cycles . Choosing an orientation for a forest produces a special kind of directed acyclic graph called a polytree . However there are many other kinds of directed acyclic graph that are not formed by orienting the edges of an und... | 29f903a8a53d90c8563590c7e7feb006 | 28,072 |
= = Definitions = =
| 1b739fe512840eee20f77b74e2cae507 | 28,074 |
A graph is formed by a collection of vertices and edges , where the vertices are structureless objects that are connected in pairs by edges . In the case of a directed graph , each edge has an orientation , from one vertex to another vertex . A path in a directed graph can be described by a sequence of edges having th... | 4e465a9d5b3a1ddfdd23f2a3cd481b10 | 28,076 |
A vertex v of a directed graph is said to be reachable from another vertex u when there exists a path that starts at u and ends at v. As a special case , every vertex is considered to be reachable from itself ( by a path with zero edges ) . If a vertex can reach itself via a nontrivial path ( a path with one or more e... | d258d0c6260a7f0ad4be22e7816bb352 | 28,077 |
A topological ordering of a directed graph is an ordering of its vertices into a sequence , such that for every edge the start vertex of the edge occurs earlier in the sequence than the ending vertex of the edge . A graph that has a topological ordering cannot have any cycles , because the edge into the earliest verte... | 525727901157c68ba4ca80a349edaa15 | 28,078 |
= = Mathematical properties = =
| 372f18b2c82de364ed76120eb9bdc732 | 28,080 |
= = = Reachability , transitive closure , and transitive reduction = = =
| 12b96660baea4546ca46adff7e3bc4ae | 28,083 |
The reachability relationship in any directed acyclic graph can be formalized as a partial order ≤ on the vertices of the DAG . In this partial order , two vertices u and v are ordered as u ≤ v exactly when there exists a directed path from u to v in the DAG ; that is , when v is reachable from u . However , different... | a57c7e88f7a4214476613e90d25b06ed | 28,085 |
If G is a DAG , its transitive closure is the graph with the most edges that represents the same reachability relation . It has an edge u → v whenever u can reach v. That is , it has an edge for every related pair u ≤ v of distinct elements in the reachability relation of G , and may therefore be thought of as a direc... | 87be67dee0ee2661d071460231959ce7 | 28,086 |
The transitive reduction of a DAG G is the graph with the fewest edges that represents the same reachability relation as G. It is a subgraph of G , formed by discarding the edges u → v for which G also contains a longer path connecting the same two vertices . Like the transitive closure , the transitive reduction is u... | 637a52aa5aed3b0757a7179a0526d286 | 28,087 |
If a DAG G has a reachability relation described by the partial order ≤ , then the transitive reduction of G is a subgraph of G that has an edge u → v for every pair in the covering relation of ≤ . Transitive reductions are useful in visualizing the partial orders they represent , because they have fewer edges than ot... | 62efc0bebd47baa95c0482e0701bb8f7 | 28,088 |
= = = Topological ordering = = =
| 17808a717eae892ad5ee5f8767c5a704 | 28,090 |
Every directed acyclic graph has a topological ordering , an ordering of the vertices such that the starting endpoint of every edge occurs earlier in the ordering than the ending endpoint of the edge . The existence of such an ordering can be used to characterize DAGs : a directed graph is a DAG if and only if it has ... | 86d104c893be4bdb24f28e132e778356 | 28,092 |
The family of topological orderings of a DAG is the same as the family of linear extensions of the reachability relation for the DAG , so any two graphs representing the same partial order have the same set of topological orders .
| 520b3ddfb23236993c250d1d632466a7 | 28,093 |
= = = Combinatorial enumeration = = =
| e891afcdfa4773a7829a5095da5374b9 | 28,095 |
The graph enumeration problem of counting directed acyclic graphs was studied by Robinson ( 1973 ) . The number of DAGs on n labeled vertices , for n = 0 , 1 , 2 , 3 , … ( without restrictions on the order in which these numbers appear in a topological ordering of the DAG ) is
| 7728235f20678a1b135945bd7825608c | 28,097 |
1 , 1 , 3 , 25 , 543 , 29281 , 3781503 , … ( sequence A003024 in the OEIS ) .
| 757fa6b3de74ed7bb07deb0793909856 | 28,098 |
These numbers may be computed by the recurrence relation
| 2c515cbf50040b8067538bcbe1b526aa | 28,099 |
<formula>
| 79c2f3e78aa986c8331905878dada39f | 28,100 |
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