指数映射(exponential mapping)是由李群的李代数到李群的一种解析映射。若G为李群,e为单位元素,Te(G)为G中点e的切空间,任取Xe∈Te(G),则唯一存在左不变向量场X,使得Xg=dLg(Xe),∀g∈G.
关键词： 射影变换；目标跟踪；几何优化；李群；指数映射 [gap=1505] projective transformation; target tracking; geometric optimization; Lie groups; exponential map
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我们应用凝聚映射的不动点指数理论，分别存两种情形下，获得了一些正解存在的结果，推广了近期这方面已有的一些结果。
By employing the fixed point index of condensing mapping, the existence results of positive solution are obtained under two cases, the conclusions extend the results recently achieved in this field.
但还有另一个因素称为规范，奖励短字段和考虑最终指数时间增加，可每个字段(映射)，甚至每个文档。
But there's another factor called norms, that rewards shorter fields and take into account eventual index time boosting, which can be per field (in the mapping) or even per document.
利用指数对应定理，将关于商映射的一个定理推广到上诱导拓扑的情形，并给出其在代数拓扑学中的若干应用。
Used the theorem of exponential correspondence, a theorem on quotient map was generalized to the cases of coinduced topology, and some applications of it in algebraic topology were also discussed.
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