Bristol mayor George Ferguson has been sworn in at a ceremony at Bristol Temple Meads railway station.
Enrique Pena Nieto has been sworn in as Mexico's new president, promising to boost economic growth and tackle drug-related violence.
Israel's new coalition government, led by Benjamin Netanyahu, has been sworn in after nearly two months of negotiations between political parties.
Council of State president and judge Panagiotis Pikrammenos has been sworn in as interim prime minister to head a government until the elections next month.
Although his death leaves no clear successor in the often fractious world of Palestinian politics, Palestinian parliament speaker Rawhi Fattuh has been sworn in as interim president of the Palestinian Authority.
Enrico Letta's new "grand coalition" government - a hybrid mixture of party bigwigs, technical experts, and an unusually high number of women ministers - has been sworn in at Rome's presidential palace and is expected to get an early confidence vote in parliament.
Goodluck Jonathan, Mr Yar'Adua's southern deputy, who became acting president in February as the country grew impatient, has already been sworn in and will soon appoint a vice-president, who may then be groomed as next year's candidate.
Barack Obama has officially been sworn in for his second term as US president in a small ceremony at the White House.
Vice-President Federico Franco has already been sworn in as president.
Mr Chavez, who has been in power since 1999, will be sworn in in January for a fourth term.
Supreme Court justices have ruled that Mr Chavez, who has been in office since 1999, can be sworn in for another term as president at a later date.
Venezuela's Supreme Court ruled that Mr Chavez, who has been in office since 1999, could be sworn in for another term as president when he recovered and returned to Caracas.
An economy that was shrinking at a scary rate when I was sworn in as President has now been growing for three consecutive quarters.
These are obviously threats, and places in the world that are supportive of terrorists and terrorist organizations have been something the President has been dealing with since the transition, before he was even sworn in.
Brazilian TV clown Tiririca, who won more votes than any other candidate in last October's congressional elections, has been sworn into office.
BBC: Brazilian clown Tiririca takes elected seat in congress
The Isle of Man's new chief constable, Gary Roberts, has been sworn into the role at a ceremony at the Courts of Justice in Douglas on Friday.
Ms Park was sworn in as president last week, but has not yet been able to form a cabinet.
Australia's Prime Minister Julia Gillard has been sworn into office, making her the first woman elected to the post in the nation's history.
It is a contempt of Parliament to lie in evidence to a committee - and perjury if the oath has been sworn - and anybody caught telling porkies could be subject to criminal penalty.
Moreover, and I want to emphasize this as Senator Lugar and Senator Biden have, for all of the examples that Senator Helms cited today -- for every single nominee who has been blocked at some point in the process -- when a majority of United States Senators, duly elected and sworn, have wanted to force an issue, it has been forced.
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