Partial linear model is very flexible when the relation between the covariates and responses, either parametric and nonparametric. However, estimation of the regression coefficients is challenging since one must also estimate the nonparametric component simultaneously. As a remedy, the differencing approach, to eliminate the nonparametric component and estimate the regression coefficients, can ...

This paper constructs the probability model of the general multi-valued shrinking generator, which takes two-valued key stream shrinking generator and generalized shrinking generator as special cases. It discusses the probability properties of their output sequences, and gets the formulae of the coincidence of the output sequences with the original input sequences in particular. It also analyze...

We present the construction of a pseudorandom generator, that we call the Bit-Search Generator (BSG), based on a single input sequence. The construction is related to the so-called Self-Shrinking Generator which is known for its simplicity (conception and implementation-wise) linked with some interesting properties. After presenting the general running, we give a description of the BSG by using...

◈ well-known keystream generator ◈ proposed by Coppersmith, Krawczyk and Mansour [Crypto 93] ◈ use two LFSRs A and S. – Let a 0 , a 1 , … denote the sequence generated by A. – Let s 0 , s 1 , … denote the sequence generated by S. ◈ The resultant sequence is a " shrunken " version of the first one. ◈ modified version of Shrinking Generator ◈ proposed by Meier and Staffelbach [Eurocrypt 94] ◈ use...

This article gives a brief overview of the major portable techniques: those based on optical spectroscopy techniques, including near-infrared (NIR), mid-infrared (mid-IR), and Raman spectroscopy; mass spectrometry (MS) systems, high-pressure MS (HPMS), gas chromatography–MS (GC–MS), ion mobility (IMS); elemental such as X-ray fluorescence (XRF) laser-induced breakdown (LIBS); emerging miniaturi...

In this paper we classify the four dimensional gradient shrinking solitons under certain curvature conditions satisfied by all solitons arising from finite time singularities of Ricci flow on compact four manifolds with positive isotropic curvature. As a corollary we generalize a result of Perelman on three dimensional gradient shrinking solitons to dimension four.

∣ 2 u dV. This implies in particular that d dt μ(g(t), τ(t)) ≥ 0 with equality exactly for homothetically shrinking solutions of Ricci flow. An important consequence of this entropy formula is a lower volume ratio bound for solutions of Ricci flow on a closed manifold for a finite time interval [0, T ) asserting the existence of a constant κ > 0, only depending on n, T and g(0), such that the i...

In this correspondence, it is given a correction to Theorem 4 in Y. Hu, and G. Xiao, “Generalized Self-Shrinking Generator,” IEEE Transactions on Information Theory, vol. 50, No. 4, pp. 714-719, April 2004.

In 2004, Y. Hu and G. Xiao introduced the generalized self-shrinking generator, a simple bit-stream generator considered as a specialization of the shrinking generator as well as a generalization of the self-shrinking generator. The authors conjectured that the family of generalized self-shrinking sequences took their least periods in the set {1, 2, 2}, where L is the length of the Linear Feedb...