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It is proved that a semiring is complemented if and only if it is a direct product of some Boolean algebra and Boolean ring by studying the relations of congruences on the complemented semiring, so the complemented semiring is the commutative semiring.

s-内射模。通过研究可补半环S的性质及S上的同余关系，证明出可补半环与布尔环和布尔代数的直积是等价的，因而可补半环是交换半环。

We present k -Degree T-Bezier basis function and reparametrize it on the interval [0,1],representation of ellipse and cardioid and G~1 condition of T-Bezier curves based on the analysisof T-Bezier basis function and terminal properties. The results have definite geometric meanings that are useful for surface modeling.(3) We presents G~1 of C-B-spline curves and C-Bezier curves.

3给出了C-曲线间的G~1拼接条件，利用C-Bézier曲线能够精确表示半圆弧和半椭圆弧的性质，在实际应用过程中需要精确表示半圆弧和半椭圆弧的地方利用C-Bézier曲线来代替C-B样条曲线，从而较好的解决了在C-B样条造型系统中无法精确表示圆弧的问题。

We mainly study the structures of semiring with a completely regular additive semigroup from the angle of semigroups in this paper.

本文主要从半群的角度出发对加法半群为完全正则半群的半环进行了研究。

A ∞-semimodule over a ∞-semiring is introduced in this paper, based on which, the absorb subsemimodule and the congruence relation on a ∞-semimodule are proposed.

引入∞-半环上的∞-半模的概念，在此基础上引入吸收子半模以及∞-半模上的同余关系等概念，得到一些初步性质。

Rough ideals been first introduced by Kuroki N. Under the condition of the congruence relation, a rough set of a subsemigroup was proved to be its subsemigroup, while that of a leftideal was also proved to be its leftideal.

Kuroki N研究了半群中的粗理想，首次提出了粗子半群和粗理想的概念，证明了在同余关系下，半群的粗糙集是半群，左理想的粗糙集是左理想。

Kuroki N firstly put forward the notion of rough subsets and rough ideals in semigroups, testifying that Under the condition of the congruence relation, a rough set of a subsemigroup was proved to be its subsemigroup, while that of a leftideal was also proved to be its leftideal.

Kuroki N首先研究了半群中的粗理想，首次提出了粗子半群和粗理想的概念，证明了在同余关系下，半群的粗糙集是半群，左理想的粗糙集是左理想。

Sort-and-Incremental Algorithm Step 4: Intersections of adjacent h-plane pairs in stack form half a convex polygon.

相邻半平面的交点组成相邻半平面的交点组成半个凸多边形。半个凸多边形。

The touch condition of the first and second interlayer have greater influence to the tension stress of the bottom layer.The first interlayer has fatefully influence to the shear stress, while the touch condition of the third interlayer affects the compression strain of the top of ground.

基于以上考虑，面层与半刚性基层、高强度的半刚性基层与低强度半刚性底基层、底基层与土基的3个接触面是半刚性路面结构的最薄弱的地方，分别定义为第一、第二、第三接触面。

In our experiments, when the opacity of lens exceed Ⅳ degrees, the treatment effect of medicine was not obviously. Analyzing the examined results of AR, SOD and GSH-px in rat lens cortex and nuclear shows that Zhangming drops can inhibit the activity of AR obviously and prevent the translation of galactose to galactose alcohol. So it can prevent the deposit of galactose in the fibrocyte of lens and the increase of lens's osmosis, then prevent the hydration of lens.

通过对大鼠半乳糖性白内障晶体皮质和核内醛糖还原酶、超氧化物歧化酶和谷胱苷肽过氧化物酶的检测结果分析表明，障明滴眼液能明显抑制AR的活性，防止半乳糖向半乳糖醇的转化，从而防止半乳糖在晶体纤维细胞内的堆积，阻止其渗透性的增高，防止晶体的水化。

The compositions and FTIR spectral characteristics of hydrolysis product were studied using GC and FTIR. The results indicated that ASP3 is a kind of pectic polysaccharide which contained the main part of homogalacturonan fragments as "smooth regions" with galacturonic acid and rhaminose, and rhamnogalacturonan segments as "hairy regions" backbone. Galactose, arabinose, mannose and glucose were linked as arabinogalactan, galactan and arabinan, which were the mainly constitution of the branch.

实验结果表明，ASP3是一种果胶多糖，主要由光滑区和毛发区（富含中性糖侧链的鼠李半乳糖醛酸聚糖）两部分组成：GalA和Rha位于多糖分子的主链，由于Rha含量较低，大部分GalA相连形成半乳糖醛酸聚糖光滑区；Gal、Ara、Man及Glc位于多糖分子的支链，其中Gal以较高的聚合度与主链相连，Ara以还原性末端或低聚寡糖的形式与主链相连或与半乳聚糖末端相连形成阿拉伯半乳聚糖。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。