Two new triterpenoid saponins from Rhaponticum uniflorum

Two new triterpenoid saponins were isolated from the roots of Rhaponticum uniflorum.Their structures were elucidated as 3-O-[β-D-glucopyranosyl] -ilexolic acid-28-O-[β-D-glucopyranosyl]ester 1 and 3-O-[β-D-glucopyranosyl]-urs-12,19(29)-dien-oic acid-28-O-[β-D-glucopyranosyl]ester 2 mainly by 1D,2D NMR techniques and chemical methods.     

右美托咪定对全凭静脉麻醉单肺通气时氧合指数的影响

右美托咪定是一种新型的肾上腺素能α2受体激动剂,与α2受体的结合能力是可乐定的8倍,具有镇静、催眠和镇痛等作用且不影响呼吸,因此目前广泛应用于重症监护室和围手术期。单肺通气是许多胸外科手术中必不可少的环节,单肺通气时,非通气肺有血流而无通气即出现从右到左的肺内分流,导致动脉PaO2显著下降,有5%-10%的患者会出现低氧血症[1],目前已知有许多因素可影响 PaO2,包括缺氧性肺血管收缩（HPV）、手术体位、双腔管位置以及通气策略。单肺通气期间出现低氧血症,主要原因是HPV效应减弱引起肺内分流量过大[2]。右美托咪定对单肺通气时的氧合指数的影响尚不明确,由于吸入麻醉药会减弱HPV效应,笔者通过探讨全凭静脉麻醉下右美托咪定对单肺通气的氧合指数影响,旨在为临床应用提供参考,现报道如下。     

延迟微分方程单支方法的非线性稳定性

本文讨论延迟微分方程单支方法的非线性稳定性 .对于 Kα,β,γ类非线性延迟微分方程 ,我们证明带有线性插值的 G( c,p,q) -代数稳定的单支方法当 c≤ 1时是 GR( p/2 ,q/2 ) -稳定及弱 GAR( p/2 ,q/2 ) -稳定的 ,当 c<1时是 GAR( p/2 ,q/2 ) -稳定的 .最后的数值试验表明了上述结论的正确性 .     

分次环的分次根

给出了建立分次环根的一般方法．作为其应用，建立了分次环的分次Brown—McCoy根，并给出了Brown—McCoy半单分次环的结构定理．     

一类带临界指标的Neumann问题解的唯一性

该文研究了一类带临界指标的Neumann问题, 利用Pohozaev恒等式和一些好的估计, 得到了此类问题解的唯一性结果.     

非双倍条件下极大奇异积分算子的估计

It is shown that the maximal singular integral operator with kernels satisfying Ho rmander＇s condition is of weak type （1,1） and L^p （1〈p〈∞） bounded without assuming that the underlying measure p is doubling. Under stronger smoothness conditions,such estimates can be obtained by using a Cotlar＇s inequality. This inequality is not applicable here and it is noticeable that the Cotlar＇s inequality maybe fails under Hormander＇s condition.     

Cosemisimple Coextensions and Homological Dimension of Smash Coproducts

Let H be a finite dimensional cosemisimple Hopf algebra, C a left H-comodule coalgebra and let C = C/C（H^＊）^＋ be the quotient coalgebra and the smash coproduct of C and H. It is shown that if C/C is a eosemisimple coextension and C is an injective right C-comodule, then gl. dim（the smash coproduct of C and H） = gl. dim（C） = gl. dim（C）, where gl. dim（C） denotes the global dimension of coalgebra C.     

BOUNDEDNESS OF MAXIMAL SINGULAR INTEGRALS

The authors study the singular integrals under the Hormander condition and the measure not satisfying the doubling condition. At first, if the corresponding singular integral is bounded from L2 to itself, it is proved that the maximal singular integral is bounded from L∞to RBMO except that it is infinite μ-a.e. on Rd. A sufficient condition and a necessary condition such that the maximal singular integral is bounded from L2 to itself are also obtained. There is a small gap between the two conditions.     

分次反单本原根

本文给出分次情形的反单本原根SJGG,当群G满足|G|<∞,证明了SJG=SJref=SJG,其中SJref和SJG分别表示反射反单本原根和限制反单本原根.而且讨论了SJG的分次补根.     

An Arc as the Inverse Limit of a Single Bonding Map of Type N on [0,1]

Let I = [0, 1], c ₁, c ₂ ∈ (0, 1) with c ₁ < c ₂ and f : I⊸I be a continuous map satisfying: are both strictly increasing and is strictly decreasing. Let A = {x ∈ [0, c ₁]∣f(x) = x}, a=max A, a ₁ =max(A\{a}), and B = {x ∈ [c ₂, 1]∣f(x) = x}, b=minB, b ₁ =min(B\{b}). Then the inverse limit (I, f) is an arc if and only if one of the following three conditions holds: (1) If c ₁ < f (c ₁) ≤ c ₂ (resp. c ₁ ≤ f (c ₂) < c ₂), then f has a single fixed point, a period two orbit, but no points of period greater than two or f has more than one fixed point but no points of other periods, furthermore, if A≠φ and B≠φ, then f (c ₂) > a (resp. f (c ₁) < b). (2) If f (c ₁) ≤ c ₁ (resp. f (c ₂) ≥ c ₂), then f has more than one fixed point, furthermore, if B≠φ and A\ {a} ≠φ, f (c ₂) ≥ a or if a ₁ < f (c ₂) < a, f ² (c ₂) > f (c ₂), (resp. f has more than one fixed point, furthermore, if A≠φ and B\{b}≠φ, f (c ₁) ≤ b or if b < f (c ₂) < b ₁, f ² (c ₁) < f (c ₁)). (3) If f (c ₁) > c ₂ and f (c ₂) < c ₁, then f has a single fixed point, a single period two orbit lying in I\(u, v) but no points of period greater than two, where u, v ∈ [c ₁, c ₂] such that f (u) = c ₂ and f (v) = c ₁. Supported by the National Natural Science Foundation of China (No. 19961001, No. 60334020) and Outstanding Young Scientist Research Fund. (No. 60125310)