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According to the Galois extension theory of the number field,the discriminant of the field and the integral basis theory,the necessary and sufficient condition is attained which is m≡n≡1(mod4),where m and n are two different rational integers without square factors.

四次域是重要的Galois数域之一,该文对四次域Q进行了讨论;利用Galois扩张、域的判别式及整基等一些理论,得出了其具有正规整基的充要条件为m≡n≡1(mod4)(其中m,n是2个不同的无平方因子有理整数)。

A discriminant for the condition of AMY beyond GEY and discrimination factor are presented in this paper.

文中提出了实际最大产率超过综合平衡产率的条件判别式,引入了判别因子。

The discriminant is derived using the above theory wether gear profile need to modify and the formula using to calculate precisely modify measment of gear is derived. An elastic curve of the harmonic drive that the profile of the rigid gear and elastic gear are involute is studied.

利用本文建立的弹性啮合理论推导出齿轮齿面是否需要修形的判别式和修形量精确计算的公式;利用本文弹性啮合理论研究了谐波齿轮传动中的弹性曲线求解问题。

Based on the current linear attenuation model and the idea of minimum arcing voltage in inductive intrinsically safe circuit , the authors establish the principle for choosing L/R ratio assuredly by using the intrinsic safety discriminant of inductive circuit and express the discharge time with known circuit parameters.

基于电感性本质安全电路放电电流线性衰减模型,引入最小建弧电压的概念,得到了放电时间不含未知参数的表达式,利用电感电路的本质安全性能判别式,确定了电感电阻比 L/R的选取原

Subsequently, for guaranteeing the independence of analyzed factors, the principal components analysis method was conducted to avoid the collinearity problem in the assessment of landslide susceptibility. The new scenario was carried out in the logisticl regression analysis method and produced a new landside susceptibiltiy map.

地质科学家的判别经验分析确定的评价要素存在相互重叠的共线性问题是不可避免的,为了保证评价要素的独立性,判别式的主成分多变量分析法被执行确定了新的评价要素;随后LR模型被再次执行绘制了新的滑坡危险等级地图。

Based on the Poisson bracket and the discriminant of integral of motion,we prove the problem that the moment of momentum is the integral of motion when the mass point is affected by central force.

运用泊松括号,依据运动积分判别式,证明了质点受有心力作用时,其动量矩是运动积分的问题。

Through relationship of traction capability, nonskid criterion ,skid criterion and overload static experiment,A function between each component of traction configuration and nonskid criterion ,was deduced in detailed from three operational conditions——loading,trigging and waiting,with which a criterion was obtained to calculate minimum deadweight of cabin.

根据曳引能力与防滑、打滑判据及超载静态试验系数的关系,从装载、制动和滞留三种工况出发,详细推导了曳引配置各部件与防滑判据的函数关系,得出了轿厢最小自重计算的判别式

The stuff in between, including the internal Lemma, is there only to prove there exists an injective map from the group of rational points on an elliptic curve to the group of points over each finite field of prime order not dividing 2D where D is the discriminant.

证明中间的引理,主要是证明椭圆曲线上有限阶有理点到有限域上椭圆曲线的点之间的嵌入映射的存在性,其中点的阶不整除两倍的判别式2D。

In order to solve difficulties of calculation of equation groups, the coordinate transmigration method was adopted. The store or purvey quantity of water decision-making from malti-reservoir can be translated simultaneously to single reservoir step by step.

为解决方程组求解带来的困难,采用坐标轮换法,将多库同时供、蓄水决策转化为单库逐次轮换决策,并结合水库常规调度图规则,对判别式法进行修正,使求解结果更为合理。

And lower bounds for ideal class numbers ofseveral series of real quadratic function fields are provided.

并且讨论了二次函数域的理想类数随判别式的次数的递增变化的规律,从而说明了解决二次函数域Gauss猜想的困难之所在。

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