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For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4. The reciprocal function, the function f(x) that maps x to 1/x, is one of the simplest examples of a function which is its own inverse (an involution).
The product operator for the product of a sequence is denoted by the capital Greek letter pi Π (in analogy to the use of the capital Sigma Σ as summation symbol). [1] For example, the expression ∏ i = 1 6 i 2 {\displaystyle \textstyle \prod _{i=1}^{6}i^{2}} is another way of writing 1 ⋅ 4 ⋅ 9 ⋅ 16 ⋅ 25 ⋅ 36 {\displaystyle 1 ...
1. Denotes either a plus sign or a minus sign. 2. Denotes the range of values that a measured quantity may have; for example, 10 ± 2 denotes an unknown value that lies between 8 and 12. ∓ (minus-plus sign) Used paired with ±, denotes the opposite sign; that is, + if ± is –, and – if ± is +. ÷ (division sign)
For any element x in a ring R, one has x0 = 0 = 0x (zero is an absorbing element with respect to multiplication) and (–1)x = –x. If 0 = 1 in a ring R (or more generally, 0 is a unit element), then R has only one element, and is called the zero ring. If a ring R contains the zero ring as a subring, then R itself is the zero ring. [6]
The number π (/ p aɪ / ⓘ; spelled out as "pi") is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter.It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve.
(a) Only 6 of the 10 states casting electoral votes chose electors by any form of the popular vote. (b) Less than 1.8% of the population voted: the 1790 census would count a total population of 3.0 million with a free population of 2.4 million and 600,000 slaves in those states casting electoral votes.
Springfield is the third most populous city in the U.S. state of Missouri and the county seat of Greene County. [4] The city's population was 169,176 at the 2020 census. [5] It is the principal city of the Springfield metropolitan area, which had an estimated population of 487,061 in 2022 [6] and includes the counties of Christian, Dallas, Greene, Polk, and Webster, [7] The city sits on the ...
GDP per hour worked 1970–2022 (2015=100) Country 1970 1980 1990 2000 2010 2015 2020 2022 Australia 51.4 60.3 66.0 80.9 92.2 100 103.1 103.3 Austria 83.0