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#1 to Infinity is the third greatest hits album by American singer and songwriter Mariah Carey.It was released on May 18, 2015 in the United States, by Sony Music. [a] The North American edition of the album compiles Carey's then eighteen US Billboard Hot 100 number-one singles, the highest for a solo artist, [b] while the international edition excludes some US number-ones in favor of ...
#1 to Infinity was a concert residency by American singer-songwriter Mariah Carey at The Colosseum at Caesars Palace in Las Vegas. It began on May 6, 2015, and concluded on July 18, 2017. The show featured all eighteen of Carey's US number-one singles in chronological order. [1] [2] [3]
where f (2k−1) is the (2k − 1)th derivative of f and B 2k is the (2k)th Bernoulli number: B 2 = 1 / 6 , B 4 = − + 1 / 30 , and so on. Setting f ( x ) = x , the first derivative of f is 1, and every other term vanishes, so [ 15 ]
"Infinity" is a mid-tempo R&B ballad [3] [5] that lasts for a duration of four minutes. [6] Carey belts the lines, "Close the door, lose the key, leave my heart on the mat for me. I was yours eternally, there's an end to infinity", [7] while the songs hook consists of the singer "breathily cooing" the title repeatedly in a descending vocal run.
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
The set ω 1 is itself an ordinal number larger than all countable ones, so it is an uncountable set. Therefore, ℵ 1 is distinct from ℵ 0. The definition of ℵ 1 implies (in ZF, Zermelo–Fraenkel set theory without the axiom of choice) that no cardinal number is between ℵ 0 and ℵ 1.
[1] [3] For example, if a line is viewed as the set of all of its points, their infinite number (i.e., the cardinality of the line) is larger than the number of integers. [4] In this usage, infinity is a mathematical concept, and infinite mathematical objects can be studied, manipulated, and used just like any other mathematical object.