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Graphs of y = b x for various bases b: base 10, base e, base 2, base 1 / 2 . Each curve passes through the point (0, 1) because any nonzero number raised to the power of 0 is 1. At x = 1, the value of y equals the base because any number raised to the power of 1 is the number itself.
In mathematics, a basic algebraic operation is any one of the common operations of elementary algebra, which include addition, subtraction, multiplication, division, raising to a whole number power, and taking roots (fractional power). [1] These operations may be performed on numbers, in which case they are often called arithmetic operations.
A taxicab number is the smallest integer that can be expressed as a sum of two positive third powers in n distinct ways. The Riemann zeta function is the sum of reciprocals of the positive integers each raised to the power s, where s is a complex number whose real part is greater than 1.
Using scientific notation, a number is decomposed into the product of a number between 1 and 10, called the significand, and 10 raised to some integer power, called the exponent. The significand consists of the significant digits of the number, and is written as a leading digit 1–9 followed by a decimal point and a sequence of digits 0–9.
It recommends a number of operations for computing a power: [25] pown (whose exponent is an integer) treats 0 0 as 1; see § Discrete exponents. pow (whose intent is to return a non-NaN result when the exponent is an integer, like pown) treats 0 0 as 1. powr treats 0 0 as NaN (Not-a-Number) due to the indeterminate form; see § Continuous ...
returns e raised to the given power exp2: returns 2 raised to the given power expm1: returns e raised to the given power, minus one log: computes natural logarithm (to base e) log2: computes binary logarithm (to base 2) log10: computes common logarithm (to base 10) log1p: computes natural logarithm (to base e) of 1 plus the given number ilogb
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Modular exponentiation is the remainder when an integer b (the base) is raised to the power e (the exponent), and divided by a positive integer m (the modulus); that is, c = b e mod m. From the definition of division, it follows that 0 ≤ c < m .