1) unique factorization theory
惟一分解定理
1.
As an important part of Algebraic Number, quadratic fields ,the arithmetic in quadratic fields ,ideal ,class number and unique factorization theory play an important role in research of Diophantine Equation.
而若Q((?))的类数不为1,则先应用其相应的代数整数环上理想的惟一分解定理进行讨论,然后在根据主理想整环是惟一因子分解整环进行求解。
2) unique factorization domain
惟一分解环
1.
This paper introduces the cofactor system of a polynomial system on unique factorization domain.
引进了余因子系的概念,并利用余因子系给出一种惟一分解环上多项式系公因子存在性的分次判别准则,为在计算代数几何等领域的深入应用提供了理论依据。
2.
Based on the ideal research on integral coefficient polynomial rings generated by irreducible quadratic with first coefficient one integral coefficient polynomials, the coefficient relationship is determined so that the corresponding surplus ring becomes the condition for the unique factorization domain, the Euclidean ring.
通过对整系数多项式环的由二次首一整系数不可约多项式生成的理想的研究,找出系数的关系使得相应的剩余类环为惟一分解环,或者是主理想整环,或者是欧氏整环的条件。
3) uniqueness theorem
惟一性定理
1.
The limit theorem, comparison theorem and uniqueness theorem for solutions to backward stochastic differential equations with jumps (BSDE)and reflecting BSDE,(RBSDE), which have quadratic growth coefficients, are obtained.
进一步讨论了系数 b(t, y, q, p,ω)关于｜ q｜为平方增长的倒向随机微分方程(BSDE): yt= Y+∫Tt∫Z∫Z ps(z) Nk(ds,dz),t∈[0,T];及反射BSDE的解的极限定理、 qsdws-∫T ys, qs, ps,ω)ds-∫T ps(z)Π(dz)ds-∫Tttt解的比较定理及解的惟一性定理。
4) uniqueness of reducible decomposition
约化分解惟一性
5) unique solution
惟一解
1.
Unique Solution to the First Order Impulsive Equation for Initial Value Problem in Banach Space;
Banach空间一阶脉冲初值问题的惟一解
2.
Some sufficient and necessary conditions of its unique solution in B~2_(2σ) space and some explicit expressions of the interpolation function were given.
研究等距结点上2-周期整(m1,m2;m′1,m′2)插值问题,给出了它在B22σ中有惟一解的充分必要条件和这种插值函数的明显表达式,同时讨论了收敛性。
3.
We give exact expressions of the unique solutions for the linear boundary problems by the Green\'s functions.
研究一类二阶线性常微分方程,给出了所述方程分别在几种边界条件下的格林函数和惟一解的表达式。
补充资料：惟一
1.专一。 2.独一无二，只有一个。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条