查询词典 classification theorem

Shengyubeifenfa;Chinese Remainder Theorem;Euclidean algorithm;Congruence group;Binary Diophantine equation Full Text - Paper in Chinese

我相信，本文的方法不仅在数论，而且在其它数学学科，如：计算机算法、组合数学等方面会得到应用。

Owing to the importance of Disquisitiones Arithmeticae in histoiy of number theory and the core position of the congruent theory in elementary number theory, this paper is to focus on the following two topics: the origin and development of Fermats little theorem and the quadratic reciprocity law which was hailed as golden by Gauss.

鉴于《算术研究》在数论发展史上的重要性以及同余理论在初等数论中的核心地位，本文重点研究费马小定理和被高斯誉为"黄金定律"的二次互反律的起源和发展。

According to the fUndamental theorem of coniC In projective geometry any five points can decide one conic section .

在射影几何中，二次曲线定理告诉我们任意五点可以决定一条二次曲线。

Generalized strong vector variational-like inequalities; Minty's lemma; KKM mapping; pseudomonotone; Ky Fan lemma; open mapping theorem; complete; the second category; conjugate; proper convex lower semicontinuous function; linear mapping; closedness

基础科学，数学，数学分析广义强向量似变分不等式； Minty引理； KKM映象；伪单调； Ky Fan引理；开映射定理；完备；第二纲；共轭；真凸下半连续函数；线性映射；闭性

In the third, we hit the variational principle, orthogonal decomposition, orthonormal base, Riesz representation theorem and the conjugate operators in the Hilbert space.

第三部分，Hilbert空间的变分原理、正交分解、完备标准正交系的存在性、Riesz表现定理和共扼算子等。

Considering enough first integrals,such as conservation of energy and angular momentum,the system is integrable by Liouville's theorem.

利用能量积分，根据惠特克定理对系统的动力学方程进行降阶，并根据旋转数给出系统作周期或准周期运动的判别条件。

Key words: theorem of kinetic energy; conservation law of mechanical energy; reference frame

动能定理，机械能守恒定律应用

Week 3 Momentum theorem, conservation law of momentum and its application, work of variable force, work of conservative force, potential energy.

第3周 动量定理动量守恒定律及应用；变力的功、保守力的功、势能。

Refering to a sophisticated proof method in thermodynamics and based on a physics consideration, this article gives a clear and plain proof to the theorem that the conservative force has potential s.

借鉴热力学中的一种方法，用直观的物理论证，给出了保守力具势的充分性证明。

Refering to a sophisticated proof method in thermodynamics and based on a physics consideration, this article gives a clear and plain proof to the theorem that the conservative force has potentials.

借鉴热力学中的一种方法，用直观的物理论证，给出了保守力具势的充分性证明。

The studies on the developing of new media are very important to the increasing of the area density of HDD and to the implementation of hybrid recoding technology.

光磁混合记录方法，是一种可以突破超顺磁极限的限制，并进一步提高硬盘记录密度和读写速率的一种新型超高密度信息存储方式。

In io, mTOR inhibition promotes T cell anergy under conditions that would normally induce priming.

体内研究中，在正常可激发免疫反应的条件下，抑制mTOR可促使T细胞无能。