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3 Advanced functional techniques.(Mathematical Aspects of Mixing Times in Markov Chains)
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The relation between functional constants and mixing time bounds was studied in Section 2. In this section it is shown that information on functions of large variance, or on functions with small support, can be exploited to show better mixing time bounds.
The argument is simple. Recall that d/dt Var([h.sub.t]) = -2E([h.sub.t], [h.sub.t]). If E(f, f) [greater than or equal to] G(Var(f)) for some G : [R.sub.+] [right arrow] [R.sub.+] and f : [OMEGA] [right arrow] [R.sub.+] with Ef = 1, then it follows that d/dt Var([h.sub.t]) = -2E([h.sub.t], [h.sub.t]) [less than or ...
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Opening the Secret Files on Lumumba's Murder
Newspaper article from: The Washington Post
; ...payments to then-President Joseph Kasavubu four days before he ousted...including President Kasavubu, Mobutu (then army...Ndele, Senate President Joseph Ileo and labor leader...organized by Ndele) and Kasavubu's dismissal of Lumumba...
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West Virginia film festival: ; 'Lumumba' tells tragic story of African politics
Newspaper article from: Charleston Gazette
; ...1960, Lumumba outpolled Joseph Kasavubu (Maka Kotto) and his...an uneasy compromise, Kasavubu became president and...Two months later, Kasavubu removed Lumumba from...of military official Joseph Mobutu (Alex Descas...
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Chronology of Key Events in DRC
News Wire article from: Xinhua News Agency
; ...Lumumba as prime minister and Joseph Kasavubu as president. July 1960...secession. 1964 -- President Kasavubu appoints Tshombe prime minister. 1965 -- Kasavubu and Tshombe ousted in a coup led by Joseph Mobutu. 1971 -- Joseph Mobutu...
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HISTORY AS TRAGEDY : 'Lumumba'.
Magazine article from: Commonweal
; ...with the phlegmatic Joseph Kasavubu as president. The fiery...resources, Lumumba and Kasavubu reluctantly asked the...chief of staff, Colonel Joseph-Desire Mobutu, now...the Belgians persuaded Kasavubu to fire him, whereupon...
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'Lumumba' is nothing short of triumphant
Newspaper article from: Indianapolis Recorder
; ...to share duties with Joseph Kasavubu, a timid and temporizing...them from our memory." Kasavubu is shown squirming in his seat. In contrast to Kasavubu, you have two other...colonialism. One is the young Joseph Mobutu (Alex Descas...
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Los tesoros de kabila. (Laurent kabila, nuevo dictador de Zaire)(TT: Kabila's treasures) (TA: Laurent Kabila, Zaire's new dictator)
Magazine article from: Epoca
; ...Lumumba, primer ministro junto al presidente Joseph Kasavubu, y de tendencias opuestas. Kasavubu, ms proocidental, responda a los intereses...septiembre de 1960, chocaron abiertamente Kasavubu y Lumumba, mientras un tercero, Moiss Tshomb...
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Key facts about the Democratic Republic of Congo
News Wire article from: Xinhua News Agency
; ...independence from Belgium on June 30, 1960. Joseph Kasavubu was elected president by the parliament, and...minister. In 1965, the then Lieutenant General Joseph Mobutu overthrew Kasavubu in a coup and declared himself president. In...
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Tragic history.(CONGO)(politics)
Magazine article from: African Business
; ...was elected the country's first prime minister with Joseph Kasavubu as president. Lumumba utilised Soviet support, including...months Kasavubu removed Lumumba from office and army chief Joseph Mobutu, backed by Belgium and the US, saw his opportunity...
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Key Events in Congo's History
News Wire article from: AP Online
; ...independence from Belgium on June 30. Joseph Kasavubu becomes president. Prime Minister Patrice...Sese Seko, then an army colonel named Joseph Mobutu, seizes power in a coup but returns Kasavubu to power the following year. - 1965...
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A Troubled Past
Newspaper article from: The Washington Post
; ...independence from Belgium on June 30. Joseph Kasavubu becomes president. Prime Minister Patrice...Sese Seko, then an army colonel named Joseph Mobutu, seizes power in a coup but returns Kasavubu to power. 1965 Mobutu seizes power in...
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