Let r 3 (n) be the number of representations of a positive integer n as a sum of three squares of integers. We give two distinct proofs of a conjecture of Wagon concerning the asymptotic value of the mean square of r 3 (n).

Abstract The dynamic model of fast freight wagon is established to study the effect key parameters on performance. In order reduce wheel-rail interactions, such as primary suspension stiffness, arm joint and stiffness anti-yaw damper are optimized. results indicate that above have an influence wagon’s Compared with simulation original parameters, vertical force reduced by 10%, lateral 42% 38% r...

Attending to a periodic motion stimulus can induce illusory reversals of the direction of motion. This continuous wagon wheel illusion (c-WWI) has been taken to reflect discrete sampling of motion information by visual attention. An alternative view is that it is caused by adaptation. Here, we attempt to discriminate between these two interpretations by asking participants to attend to multiple...

Noise generated by railway wagons in operation is produced large numbers of noise sources. Although the transport considered to be environmental friendly, especially production CO2 emissions, one problems that should solved keep competitive and sustainable future. In EU, there a strong permanent legislation pressure on interior exterior reduction transport. last years Slovakia, besides moderniz...

1. Supported by FCT grant PRAXIS XXI/BD/13875/97 Abstract This paper presents an original approach to the problem of function hiding based on Error Correcting Codes and evaluates the security of this approach. The novelty of the technique consists in using Error Correcting Codes to hide functions instead of encrypting data vectors. This protocol mainly deals with the issue of secure evaluation ...