混合粘合剂碳糊电极的制备及分析应用 Ⅱ.氯硝安定的溶出伏安法测定

本文提出用丙三醇－液体石腊混合粘合剂碳糊电极阴极溶出伏安法测定氯硝安定。在ｐＨ９．５的ＮＨ＿３－ＮＨ＿４Ｃｌ缓冲溶液中，氯硝安定在碳糊电极上于－０．７３Ｖ（Ｐ＿１）和－１．３３Ｖ（Ｐ＿２）处产生两个阴极溶出峰，利用Ｐ＿１峰可测定微量的氯硝安定。在８．０×１０￣（－８）～１．１×１０￣（－５）ｍｏｌ／Ｌ范围内，波高与浓度线性关系良好，检测Ｔ１民达４．０×１０，８ｍｏｌ／Ｌ。该法用于血清中氯硝安定测定，相对误差在１０％以内。     

QUASI-SURE CONVERGENCE RATE OF EULER SCHEME FOR STOCHASTIC DIFFERENTIAL EQUATIONS

Let Xt(x) be the solution of stochastic dierential equations with smooth and bounded derivatives coeffcients. Let Xnt(x) be the Euler discretization scheme of SDEs with step 2-n. In this note, we prove that for any R 0 and γ∈(0, 1/2), supt∈[0,1],|x|≤R |Xnt(x, ω)- Xt(x, ω)|≤ξR,γ(ω)2-nγ, n≥1, q.e., where ξR,γ(ω) is quasi-everywhere finite.     

A note on the DiPerna-Lions Flows

In this note, we give a short proof for the DiPerna-Lions flows associated to ODEs following the method of Crippa and De Lellis [3]. More precisely, assume that [divb] ∈ Ll∞oc(Rd), |b|/(1 + |x| log |x|) ∈ L∞(Rd) and | b| φ(| b|) ∈ Ll1oc(Rd), where φ(r) = log log(r + c), c > 0. Then, there exists a unique regular Lagrangian flow associated with the ODE X˙(t, x) = b(X(t, x)), X(0, x) = x.