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Erdős–Tenenbaum–Ford Constant
The Erdős–Tenenbaum–Ford constant is a mathematical constant that appears in number theory. Named after mathematicians Paul Erdős, Gérald Tenenbaum, and Kevin Ford, it is defined as :\delta := 1 - \frac = 0.0860713320\dots where \log is the natural logarithm. Following up on earlier work by Tenenbaum, Ford used this constant in analyzing the number H(x,y,z) of integers that are at most x and that have a divisor in the range ,z/math>. Multiplication table problem For each positive integer N, let M(N) be the number of distinct integers in an N \times N multiplication table. In 1960, Erdős studied the asymptotic behavior of M(N) and proved that :M(N) = \frac, as N \to +\infty. References External links Decimal digits of the Erdős–Tenenbaum–Ford constanton the OEIS The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching at AT&T Labs. He transferred the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Constant
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. Constants arise in many areas of mathematics, with constants such as and occurring in such diverse contexts as geometry, number theory, statistics, and calculus. What it means for a constant to arise "naturally", and what makes a constant "interesting", is ultimately a matter of taste, with some mathematical constants being notable more for historical reasons than for their intrinsic mathematical interest. The more popular constants have been studied throughout the ages and computed to many decimal places. All named mathematical constants are definable numbers, and usually are also computable numbers ( Chaitin's constant being a significant exception). Basic mathematical constants These are constants which one is likely to encount ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
