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This thermometer is indicating a negative Fahrenheit temperature (−4 °F). In mathematics, a negative number is the opposite of a positive real number. [1] Equivalently, a negative number is a real number that is less than zero. Negative numbers are often used to represent the magnitude of a loss or deficiency.
Just as the same fraction can be written in more than one way, the same real number may have more than one decimal representation. For example, 0.999..., 1.0, 1.00, 1.000, ..., all represent the natural number 1. A given real number has only the following decimal representations: an approximation to some finite number of decimal places, an ...
The IBM System/360, announced in 1964, was a popular computer system with 24-bit addressing and 32-bit general registers and arithmetic. The early 1980s saw the first popular personal computers, including the IBM PC/AT with an Intel 80286 processor using 24-bit addressing and 16-bit general registers and arithmetic, and the Apple Macintosh 128K with a Motorola 68000 processor featuring 24-bit ...
Balanced ternary is a ternary numeral system (i.e. base 3 with three digits) that uses a balanced signed-digit representation of the integers in which the digits have the values −1, 0, and 1.
A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the "imaginary unit", that satisfies i 2 = −1.
Let b be a positive integer greater than 1. Then every positive integer a can be expressed uniquely in the form = + + + +, where m is a nonnegative integer and the r's are integers such that 0 < r m < b and 0 ≤ r i < b for i = 0, 1, . . . , m − 1. [32]
The simplest examples are the golden ratio φ = [1;1,1,1,1,1,...] and √ 2 = [1;2,2,2,2,...], while √ 14 = [3;1,2,1,6,1,2,1,6...] and √ 42 = [6;2,12,2,12,2,12...]. All irrational square roots of integers have a special form for the period; a symmetrical string, like the empty string (for √ 2 ) or 1,2,1 (for √ 14 ), followed by the ...
The characteristic of a ring is a non-negative integer generating the Z-ideal of multiples of 1 that are zero. clean 1. A finitely generated module M over a Noetherian ring R is called clean if it has a finite filtration all of whose quotients are of the form R/p for p an associated prime of M.