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In arithmetic and algebra, the fifth power or sursolid [1] of a number n is the result of multiplying five instances of n together: n 5 = n × n × n × n × n. Fifth powers are also formed by multiplying a number by its fourth power, or the square of a number by its cube. The sequence of fifth powers of integers is:
Exponentiation is written as b n, where b is the base and n is the power; often said as "b to the power n ". [1] When n is a positive integer , exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases: [ 1 ] b n = b × b × ⋯ × b × b ⏟ n times . {\displaystyle b^{n}=\underbrace ...
People have adopted the linear notation for such environments; the up-arrow suggests 'raising to the power of'. If the character set does not contain an up arrow, the caret (^) is used instead. The superscript notation a b {\displaystyle a^{b}} doesn't lend itself well to generalization, which explains why Knuth chose to work from the inline ...
the zeroth power (that is, a constant term) the unknown quantity (because a number raised to the first power is just , this may be thought of as "the first power") the second power, from Greek δύναμις, meaning strength or power
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...
The Unicode Standard encodes almost all standard characters used in mathematics. [1] Unicode Technical Report #25 provides comprehensive information about the character repertoire, their properties, and guidelines for implementation. [1]
The Pell numbers are defined by the recurrence relation: = {=; =; + In words, the sequence of Pell numbers starts with 0 and 1, and then each Pell number is the sum of twice the previous Pell number, plus the Pell number before that.
Formally, a regular number is an integer of the form , for nonnegative integers , , and .Such a number is a divisor of (⌈ / ⌉,,).The regular numbers are also called 5-smooth, indicating that their greatest prime factor is at most 5. [2]