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EJC
2010
15 years 6 months ago
A q-enumeration of alternating permutations
A classical result of Euler states that the tangent numbers are an alternating sum of Eulerian numbers. A dual result of Roselle states that the secant numbers can be obtained by a...
Matthieu Josuat-Vergès
ARSCOM
2005
92views more  ARSCOM 2005»
15 years 6 months ago
Binary Strings Without Odd Runs of Zeros
We look at binary strings of length n which contain no odd run of zeros and express the total number of such strings, the number of zeros, the number of ones, the total number of ...
Ralph Grimaldi, Silvia Heubach
CORR
2008
Springer
98views Education» more  CORR 2008»
15 years 6 months ago
Divisibility, Smoothness and Cryptographic Applications
This paper deals with products of moderate-size primes, familiarly known as smooth numbers. Smooth numbers play an crucial role in information theory, signal processing and crypto...
David Naccache, Igor Shparlinski
IJON
1998
82views more  IJON 1998»
15 years 6 months ago
Solving arithmetic problems using feed-forward neural networks
We design new feed-forward multi-layered neural networks which perform di erent elementary arithmetic operations, such as bit shifting, addition of N p-bit numbers, and multiplica...
Leonardo Franco, Sergio A. Cannas
MOC
1998
65views more  MOC 1998»
15 years 5 months ago
Wilson quotients for composite moduli
An analogue for composite moduli m ≥ 2 of the Wilson quotient is studied. Various congruences are derived, and the question of when these quotients are divisible by m is investig...
Takashi Agoh, Karl Dilcher, Ladislav Skula