This is called the Inauguration , part of which is the "swearing in" of the President at which point he repeats the oath of office as required by the Constitution.
inauguration
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An inauguartion.
Inauguration.
inauguration
INAUGURATION
Inauguration
Inauguaration
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The ceremony is called the inauguration.
The ceremony in which the President of the United States takes the oath of office is called an inauguration or the Presidential Inauguration.
Presidential InaugurationInaugurationInauguration.
The Vice president is the president or as you called it,the presiding officer of the Senate.His office is at the capital buliding.
The process of being sworn into office is Inauguration."The President was Inaugurated for a second term"For an example of what happens in an Inauguration ceremony, here's a YouTube link to President Obama's Inauguration.
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== == == == the presiding officer in the senate is the vice president president of the senate