基于J2ME的脉搏波测量系统设计

为降低成本、提高便携性和二次开发性,设计了一种基于J2ME的脉搏波测量系统。与传统设备昂贵且笨拙的有创测量脉搏信号系统的仪器相比,该方案采用了无创光电容积脉搏波法,使用简易、低成本、通用性高的C8051F330单片机作为信号采集控制单元,在蓝牙手机上使用J2ME显示和存储脉搏信号。结果表明,系统数据误差控制在10%以内,并且系统的成本降低50%以上、体积减少50%以上、二次开发程度高。     

Endomorphisms of the shift dynamical system, discrete derivatives, and applications

All continuous endomorphisms f_∞ of the shift dynamical system S on the 2-adic integers Z₂ are induced by some , where n is a positive integer, B_n is the set of n-blocks over {0, 1}, and f_∞(x)=y₀y₁y₂… where for all i∈N, y_i=f(x_ix_i+1…x_i+n−1). Define D:Z₂→Z₂ to be the endomorphism of S induced by the map {(00,0),(01,1),(10,1),(11,0)} and V:Z₂→Z₂ by V(x)=−1−x. We prove that D, V°D, S, and V°S are conjugate to S and are the only continuous endomorphisms of S whose parity vector function is solenoidal. We investigate the properties of D as a dynamical system, and use D to construct a conjugacy from the 3x+1 function T:Z₂→Z₂ to a parity-neutral dynamical system. We also construct a conjugacy R from D to T. We apply these results to establish that, in order to prove the 3x+1 conjecture, it suffices to show that for any m∈Z⁺, there exists some n∈N such that R⁻¹(m) has binary representation of the form or .