Results 61 to 70 of about 113 (107)

Common Phenomenal and Neural Substrate Geometry in Visual Motion Perception

Robinson K, Zeleznikow-Johnston A, Wu J, Yoshimura Y, Tsuchiya N.   +4 more
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Chapter Five : The Prime Sequence: Demonstrably Highly Organized While Opaque and Incomputable (with Remarks on Riemann��s Hypothesis, Partition, Goldbach��s Conjecture, Euclid on Primes, Euclid��s Fifth Postulate, Wilson��s Theorem along with Lagrange��s Proof of It and Pascal��s Triangle, and Rational Human Intelligence)

, 2015
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Deep learning-based approximation of Goldbach partition function

Discrete Mathematics, Algorithms and Applications, 2021
Goldbach’s conjecture is one of the oldest and famous unproved problems in number theory. Using a deep learning model, we obtain an approximation of the Goldbach partition function, which counts the number of ways of representing an even number greater than 4 as a sum of two primes.
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Goldbach partitions and sequences

Resonance, 2014
Properties of Goldbach partitions of numbers, as sums of primes, are presented and their potential applications to cryptography are described. The sequence of the number of partitions has excellent randomness properties. Goldbach partitions can be used to create ellipses and circles on the number line and they can also be harnessed for cryptographic ...
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A Proof of Goldbach Conjecture by Using Goldbach Partition Model Table and Sieve Functions

2015
Goldbach's Conjecture(GC) states that any even integer ≥ 4 can be represented by the sum of two prime numbers. This was conjectured by Christian Goldbach in 1742 and still remains unproved. In this thesis we proved GC by introducing Goldbach Partition Model Table(GPMT) and Sieve Functions(SFs).
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An FPGA systolic array using pseudo-random bit generators for computing Goldbach partitions

Integration, 2000
Summary: A linear systolic array of 256 cells for computing the Goldbach partitions has been designed and implemented on the FPGA PeRLe-1 platform. Fast computation is achieved using a counter based on a pseudo-random bit generator. Beyond this application we show that FPGA technology tends to promote such applications.
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Computing the Number of Goldbach Partitions up to 5 108

2000
Computing the number of Goldbach partitions $$g(n) = \#\{(p,q) | n = p + q, p \leq ~q\}$$ of all even numbers n up to a given limit can be done by a very simple, but space-demanding sequential procedure. This work describes a distributed implementation for computing the number of partitions with minimal space requirements.
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Computing Goldbach partitions using pseudo-random bit generator operators on an FPGA systolic array

1998
Calculating the binary Goldbach partitions for the first 128× 106 numbers represents weeks of computation with the fastest microprocessors. This paper describes an FPGA systolic implementation for reducing the execution time. High clock frequency is achieved using operators based on pseudo-random bit generator.
Dominique Lavenier, Yannick Saouter
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