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1)  algebraic closed field
代数封闭域
2)  algebraically closed
代数封闭
1.
The two theorems are proved that any ring can be extended into an algebraically closed ring and that the quaternionic skew field over a real closed field is algebraically closed.
证明了任一环有代数封闭的扩张环,且实封闭域上的四元数体是代数封闭的,给出了代数封闭环的若干性质。
3)  algebraically closed field
代数闭域
1.
In this paper,we discuss the classification of 3-dimensionally commutative algebras on algebraically closed field.
研究了代数闭域上三维交换代数的分类。
2.
A theorem of integral divisibility for multivariate polynomial ring C[x 1,x 2,…,x n] on complex number field is given in [1], this paper extends the theorem to the case of k[x 1,x 2,…,x n] , where k is any algebraically closed field.
[1 ]给出复数域C上多元多项式环 C[x1 ,x2 ,… ,xn]的一类整除性定理 ,本文把它推广为任意代数闭域 k上多元多项式环 k[x1 ,x2 ,… ,xn]的情形 。
4)  quasi algebraically closed field
拟代数闭域
5)  algebraic closure of a field
域的代数闭包
6)  closed area
封闭区域
1.
0, any closed area could be clipped down from an image successfully, so this technology could separate the target area from the background area, and provided a good basement for further studying of image processing.
以图像处理为立意背景,以delphi7作为开发工具,实现了对图像中任意形状边界的封闭区域的剪裁,做到了图像中目标区域与背景区域的成功分离,为图像处理的进一步研究打下了良好的基础。
2.
The method of numerical integral was provided to give the 2D and 3D closed area geometrical characteristic calculation when the MFS intersected with the water plane.
采用参数化隐式方程组的方法建立了浮式结构物浮态方程并给出相应的求解过程,同时采用数值积分方法给出了浮式结构物与水线面求交后二维和三维封闭区域几何特性计算,最后通过实例验证了输出结果与实际数据吻合较好。
补充资料:代数闭域


代数闭域
algebraically closed field

代数闭域【aigeb面回lyd姗d云eld“别.‘钾坪长。.3洲-幻乃7T此助月e] 域k.其l二的任何非零次多项式在丸中至少有个根.事实上,由此可推出一个代数闭域k上的任何。次多项式在k中恰有n个根,也即多项式环k【习中任不可约多项式都是一次的.域人是代数闭的,当且仅当它没有真的代数扩张(见域的扩张(extens,on of a field))·任何域k都有唯一的(仅差一同构)代数闭的代数.扩张;称之为k的华攀甲粤(al罗bra,e dosure),通常用k表示.包含人的任何代数闭域都包含一个与万同构的子域. 复数域是实数域的代数闭包.这就是代数学基本定理(algebra,fundamental重heorem of).
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