Results 251 to 260 of about 5,130,669 (296)

Noncommutative Continued Fractions

SIAM Journal on Mathematical Analysis, 1971
A number of theorems are proved concerning the convergence of continued fractions whose entries are linear operators on a Banach space. These theorems are analogues of some of the well-known results for ordinary continued fractions.
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Generalized continued fractions

Applied Mathematics and Computation, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ramanujan's Continued Fraction

Mathematical Proceedings of the Cambridge Philosophical Society, 1935
The best of the theorems on continued fractions, to be found in Ramanujan's manuscript note-book may be stated as follows:where there are eight gamma-functions in each product and the ambiguous signs are so chosen that the argument of each gamma-function contains one of the specified numbers of minus signs.
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An improved continued‐fraction‐based high‐order transmitting boundary for time‐domain analyses in unbounded domains

, 2012
A high‐order local transmitting boundary to model the propagation of acoustic or elastic, scalar or vector‐valued waves in unbounded domains of arbitrary geometry is proposed.
C. Birk, S. Prempramote, Chongmin Song
semanticscholar   +1 more source

Cubic irrationals and periodicity via a family of multi-dimensional continued fraction algorithms

, 2012
We construct a countable family of multi-dimensional continued fraction algorithms, built out of five specific multidimensional continued fractions, and find a wide class of cubic irrational real numbers $$\alpha $$α so that either $$(\alpha , \alpha ^2)$
Krishna Dasaratha   +7 more
semanticscholar   +1 more source

Continued Fractions Continued, Applications

1989
We are now ready to explain the Brillhart-Morrison Continued Fraction Algorithm (commonly known as CFRAC) for factoring large numbers. The original idea is actually due to D. H. Lehmer and R. E. Powers in 1931 and it draws much of its inspiration from Legendre who used the continued fraction expansion in a procedure that restricted the congruence ...
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Continued fractions

The Mathematics Teacher, 1962
An opportunity for the teacher to set before his students situations which will stimulate creative ...
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