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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]
0 . 1 , the natural number after zero. π , the constant representing the ratio of a circle's circumference to its diameter, approximately equal to 3.141592653589793238462643. [8] e, approximately equal to 2.718281828459045235360287. [9] i, the imaginary unit such that i 2 = −1. [10]
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]
3.1 × 10 −10 [53] = / atomic mass constant: 1.660 539 068 92 (52) × 10 −27 kg: 3.1 × 10 −10 [54] = / molar mass constant: 1.000 000 001 05 (31) × 10 −3 kg⋅mol −1: 3.1 × 10 −10 [55] molar volume of silicon: 1.205 883 199 (60) × 10 −5 m 3 ⋅mol −1
For example, the polynomial +, which can also be written as +, has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.
has a constant term of −4, which can be considered to be the coefficient of , where the variables are eliminated by being exponentiated to 0 (any non-zero number exponentiated to 0 becomes 1). For any polynomial, the constant term can be obtained by substituting in 0 instead of each variable; thus, eliminating each variable.
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Copeland and Erdős's proof that their constant is normal relies only on the fact that is strictly increasing and = + (), where is the n th prime number. More generally, if is any strictly increasing sequence of natural numbers such that = + and is any natural number greater than or equal to 2, then the constant obtained by concatenating "0."