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- Approximately 1.456 074 948Backhouse's constant is a mathematical constant named after Nigel Backhouse. Its value is approximately 1.456 074 948. It is defined by using the power series such that the coefficients of successive terms are the prime numbers, and its multiplicative inverse as a formal power series,www.wikiwand.com/en/articles/Backhouse%27s_constant
Backhouse's Constant -- from Wolfram MathWorld
Mar 5, 2025 · Backhouse's constant is a limit of a ratio of coefficients of a power series related to prime numbers. Learn how it is defined, what its continued fraction and radius of convergence …
List of mathematical constants - Wikipedia
105 rows · A mathematical constant is a key number whose value is fixed by an unambiguous …
See all 105 rows on en.wikipedia.orgNAME DECIMAL EXPANSION FORMULA One 1 Multiplicative identity of C ... Two 2 Prehistory One half 0.5 Prehistory Pi 3.14159 26535 89793 23846 [Mw 1][OEIS 1] Ratio of a circle's circumference to its ...
Math Constants
Mar 31, 2008 · Extensive and well maintained list of basic, derived, and applied mathematical constants listed by category and including both real and complex constants; a great constant …
Backhouse's constant - Scientific Lib
Backhouse's constant is a mathematical constant related to prime numbers and their inverses. It is approximately 1.456 and has a power series and a continued fraction representation.
- Backhouse's constant1.4560749486
Found in
Define P(x) to be the power series such that the coefficients of successive terms are prime numbers. Its multiplicative inverse Q(x) is a formal power series. Backhouse's constant is equal to the result of the limit as k approaches infinity of the absolute value of the division of the coefficient qk+1 by qk.Explore more science constants
See more science constantsNew content will be added above the current area of focus upon selectionSee fewer science constants Category:Mathematical constants - Wikipedia
Backhouse's constant; Beraha constants; Bernstein's constant; Brun's constant; C. Cahen's constant; Catalan's constant; Champernowne constant; Chvátal–Sankoff constants; Conic …
Backhouse's constant - Wolfram|Alpha
Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, …
Backhouse's constant - Wikiwand
Backhouse's constant is a mathematical constant named after Nigel Backhouse. Its value is approximately 1.456 074 948. It is defined by using the power series such that the coefficients …
Backhouse's constant - Scientific Lib
Backhouse's constant is a mathematical constant defined by a power series with prime number coefficients. It is approximately 1.456 and has a non-periodic continued fraction.
Backhouse's Constant - Michigan State University
Let be defined as the Power series whose th term has a Coefficient equal to the th Prime , The constant was subsequently shown to exist by P. Flajolet. References. Finch, S. ``Favorite …
A074269 - OEIS
Philippe Flajolet, in response to the previous document from S. R. Finch, Backhouse's constant, 1995
Miscellaneous Mathematical Constants by Simon Plouffe
Aug 1, 1996 · Read More lesser-known ones such as the Artin's Constant and the Backhouse Constant. Each entry includes the constant's value to numerous decimal places, with specific …
A072508 - OEIS
The reciprocal of Backhouse's constant is the real zero of a certain power series. - T. D. Noe, Oct 14 2003
(PDF) The Backhouse Constant. - ResearchGate
Aug 2, 2016 · Backhouse’s constant has approximate value 1.456074948. whose coefficients are consecutive prime numbers. Its formal reciprocal is. ( ) . lim 1.45607... I discovered it in 1995, …
Math constants table - CALCULLA
Table constrains over 200 mathematical constants with common informations such as approximated value, date of discovery or last known precision (number of significant digits). …
Backhouse's constant - Alchetron, The Free Social Encyclopedia
Nov 12, 2023 · Backhouse's constant is a mathematical constant named after Nigel Backhouse. Its value is approximately 1.456 074 948.
Bernstein Expansion -- from Wolfram MathWorld
Mar 5, 2025 · The nth order Bernstein expansion of a function f (x) in terms of a variable x is given by B_n (f,x)=sum_ (j=0)^n (n; j)x^j (1-x)^ (n-j)f (j/n), (1) (Gzyl and Palacios 1997, Mathé 1999), …
Mathematical constant - Wikipedia
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 …
Backhouse's_constant Knowpia
Backhouse's constant is a mathematical constant named after Nigel Backhouse. Its value is approximately 1.456 074 948. It is defined by using the power series such that the coefficients …
Biography: Constance Backhouse
Constance Backhouse holds the positions of Distinguished University Professor and University Research Chair at the Faculty of Law, University of Ottawa. She is internationally known for …
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