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The value of a function, given the value(s) assigned to its argument(s), is the quantity assumed by the function for these argument values. [ 1 ] [ 2 ] For example, if the function f is defined by f ( x ) = 2 x 2 – 3 x + 1 , then assigning the value 3 to its argument x yields the function value 10, since f (3) = 2·3 2 – 3·3 + 1 = 10 .
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
The graph of the absolute value function for real numbers The absolute value of a number may be thought of as its distance from zero. In mathematics , the absolute value or modulus of a real number x {\displaystyle x} , denoted | x | {\displaystyle |x|} , is the non-negative value of x {\displaystyle x} without regard to its sign .
The number e is a mathematical constant approximately equal to 2.71828 that is the base of the natural logarithm and exponential function.It is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant, a different constant typically denoted .
For example, saying "the absolute value is denoted by | · |" is perhaps clearer than saying that it is denoted as | |. ± (plus–minus sign) 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.
The horizontal axis is generally used to display the real part, with increasing values to the right, and the imaginary part marks the vertical axis, with increasing values upwards. A complex number z, as a point (black) and its position vector (blue). A real number a can be regarded as a complex number a + 0i, whose imaginary part is 0.
The circumference of a circle with diameter 1 is π.. A mathematical constant is a number whose value is fixed by an unambiguous definition, often referred to by a special symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
the value group or valuation group Γ v = v(K ×), a subgroup of Γ (though v is usually surjective so that Γ v = Γ); the valuation ring R v is the set of a ∈ K with v ( a ) ≥ 0, the prime ideal m v is the set of a ∈ K with v ( a ) > 0 (it is in fact a maximal ideal of R v ),
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