lemma

noun

1. 引理；辅助定理
   a statement that is assumed to be true in order to test the truth of another statement
2. 词根，词元（词的基本形式，如名词单数或动词的不定式形式）
   the basic form of a word, for example the singular form of a noun or the infinitive form of a verb, as it is shown at the beginning of a dictionary entry

1. For example, good is a lemma for good and better, so the keyword search returns documents containing either of these terms.
   例如，good是good和better的词元，所以关键字搜索会返回包含任意一个词汇的文档。
2. Enclosing the term in double-quotes excludes variations of the term and excludes synonyms and other terms with the same lemma.
   将词汇包含在双引号中能够排除这个词汇的变形，以及同义词和其他有相同词元的词汇。
3. The lemma for good is good.
   good的词元是good。
4. By analyzing the relationships between the positive realness and passivity, a new lemma is derived in the condition of casual.
   目的研究和解决离散型线性时不变广义系统的正实控制问题。
5. It is easy to prove that the irreducible representation of finite group satisfies orthogonal relation through the usage of Schur Lemma.
   利用舒尔引理，很容易证明有限群的不可约表示满足正交关系。
6. By virtue of strict linear matrix inequality, we derive new bounded real lemma on the basis of the H2 control for continuous singular system that is regular, impulse free, stable and H2 performance.
   利用严格线性矩阵不等式的方法，获得了奇异系统H2控制的新的有界实引理，保证了奇异系统的正则性、稳定性、无脉冲性及H2性能。
7. The existence of solutions for a class of elliptic systems is denoted, by Mountain Pass Lemma, the existence result for system of more general operator including p-Laplacian, is obtained.
   利用经典的山路引理，证明了在一般形式的算子下，椭圆型方程组非平凡解的存在性。
8. We shall deduce the result from a lemma about Euler trails in directed multigraphs.
   我们用一个关于有向重图中尤拉迹的引理来证明这个定理。
9. In this paper, a concentration-compactness lemma for the problem of quasilinear elliptic equations is given, and the existence of nontrivial solutions is discussed by use of this lemma.
   研究一类带参数的微分差分方程非平凡周期解存在性，得到了周期解存在的一个充分必要条件。
10. Abel's Lemma on Summation by Parts and q-Series Transformation and Summation Formulae
    Abel分部求和法与q-级数变换及求和公式
11. In this paper, Euler's formula and Handshaking lemma is used to obtain the face chromatic number of a planar graph by solving equations.
    本文在前人研究的面着色问题基础上，运用欧拉公式和握手定理通过解方程组得到连通平面图的面色数。
12. Matching objects in the item set based on downward closure lemma and spatiotemporal topology: we match the objects in order to create the spatiotemporal association candidate set;
    基于向下闭合引理，对时空频繁状态表中的对象进行时空拓扑匹配，得到时空关联规则候选集；
13. In probability methods, local lemma is a key technology.
    在概率方法中，局部引理是一个关键技术。
14. A HOPF lemma of the degenerate parabolic equations on the Heisenberg group;
    本文讨论一类具有非局部源退化抛物方程组。
15. In order to correspond to the lemma and characteristic of this exhibit, the main works on the exhibit are picture, video, installation and contemporary painting with the furthest city art character.
    为了适宜展览的主旨和特性，参展的作品也以最具城市艺术特征的图片、影象、装置和当代绘画等为主。
16. To prepare the detecting equipment which have satisfied organism material mechanics property of high acuity micro-tension lemma. The results based on the mechanical strength and swelling degree in water indicated that the chloroactic acid was the best crosslinking agent in those tested reagents.
    结果：1.研制出了能满足预期效果的高敏度小张力膜状生物材料力学性能检测仪。通过检测膜的力学性能和溶胀程度，得到氯乙酸交联膜的性能在所检测的范围内最优。
17. On a Variational Lemma of Extremal Quasiconformal Mappings; Estimation of the Dilatation Function of Quasiconformal Extension
    关于极值拟共形映照的一个变分引理关于拟共形映射扩张的伸缩商的估计
18. For example, Zorn's Lemma states: "a partially ordered set in which every chain has an upper bound contains a maximal element."
    例如佐恩引理所述：“在任何一个偏序集中，如何任何链（译注：即有序子集）都有上界，那么这个偏序集必然存在一个最大元素。”
19. The REP1 gene is only expressed in palea primordium during early flower development, but during later floral stages is radially dispersed in stamens and the vascular bundles of the lemma and palea.
    REP1调节内稃的属性和发育。REP1在花发育早期只在内稃原基表达，而在花发育后期迅速扩散到雄蕊和内外稃的维管束中表达。
20. On Fatou-type Lemma for Monotone Moments of Weakly Convergent Random Variables
    关于弱收敛随机变量单调矩的Fatou-型引理
21. In grasses, the lemma, palea, and the flower they enclose.
    禾本植物的外稃、内稃及它们包被的花。
22. The Recursion Hash Method The proof of lemma and theorem are mainly by recursion.
    引理和定理的证明主要用了递推和数学归纳法。
23. By Nadler lemma, we construct a new iterative random algorithm of the approximation solvability of this problem.
    借用Nadler引理，我们构造了逼近问题解的随机算法。
24. We will give reduce demonstration for a lemma in four values theorem of meromorphic function.
    给出了亚纯函数四值定理中一个引理的简化证明。
25. Based on the semimartingale convergence theorem and the generalized Ito^ formula, a Lemma is proved.
    根据半鞅收敛定理和Ito^公式证明了一个引理。
26. And then, we give Hensel's lemma and Hensel lift over Z_q.
    在此基础上，给出了Zq上的Hensel引理和Hensel提升。
27. Bailey's transformation, Bailey's lemma, Bailey pairs and some of G.
    推广了Bailey变换和Bailey引理、Bailey对以及G。
28. The main difference between the lemma and the palea was the number of vascular bundles.
    外稃和内稃的差异主要表现在维管束和内层薄壁细胞两方面。
29. L1& lemma, we prove a formality of generalized Kahler manifolds that is given by Gil R. Cavalcanti.
    借助这个引理，我们证明了GilR.Cavalcanti给出的一个广义Kahler流形上的Formality性质。
30. Through the analysis of control protocol, and has established the effective mathematical analysis model, and gives out the lemma 1, proved theorem 1, theorem 2, theorem 3 and theorem 4.
    通过对控制协议的分析，建立了有效的数学分析模型，给出了引理1，证明了定理1、定理2、定理3和定理4。

noun

1. the heading that indicates the subject of an annotation or a literary composition or a dictionary entry

2. a subsidiary proposition that is assumed to be true in order to prove another proposition

3. the lower and stouter of the two glumes immediately enclosing the floret in most Gramineae

   Synonym:    flowering glume