查询词典 metric space

Based on the theory, the differential geometry of statistical model proposed by Amari is generalized from probability space to Sugeno measure space, and a new notion of fuzzy manifold based on Sugeno measure is proposed, including the fundamental differential-geometrical structures of statistical models, the tangent space, and the Riemannian metric in a fuzzy manifold.

第四章介绍了Sugeno测度空间上随机变量的数字特征，在此基础上将学者Amari提出的统计流形从概率测度空间推广到Sugeno测度空间，提出了一种基于Sugeno测度的模糊流形分析方法，包括Sugeno模糊模型的基本微分几何结构，模糊流形中的切空间、黎曼度量。

Because of the difference of its metric from Euclidean spaces, many essential concepts in Minkowski space change a lot. This makes the conclusions of some problems in Minkowski space much different.

由于度量的不同，导致了一些基本概念有了质的变化，使得Minkowski空间的一些问题与Euclidean空间相比有着出人意料的结论。

Three counter-examples of topological space are proposed in this study: There are two metric spaces, X and Y, in which and are isometric, whileand are not isometric; Non-metric tight regular space is a counter-example of the separation of topological space; No non-zero continuous linear functionals of the linear topological space is a counter-example of linear topological space.

这里给出三个反例，存在两个度量空间X与Y，使X^2与Y^2等距而X与Y并不等距是拓扑空间中的反例；存在不可度量化的紧的完全正规空间是拓扑空间分离性的反例；不存在非零连续线性泛函的线性拓扑空间是线性拓扑空间的反例。

The fuzzy topological structure and the crisp topological structure of a WF -fuzzy metric space are described.

此外，还证明了WF-模糊度量空间中的闭球套定理； 6。

Space curve is one of the basic elements in geometric modeling, and its effective representation is the basis of modeling. Parametric representation based on features is a kind of high-level representation including semantic information. In Chapter 4, para- metric representations based on features for free form space curve are investigated, and a parametric model for the loop of plain knitted fabric is established, in which 5 parameters with practical meanings are used to represent the shape of a loop and the relationship between loops. A new shrinkage prediction method for knitted fabric are proposed based on the parametric representation and energy minimizing. Experimental results on some plain knitted fabrics illustrate the feasibility of the proposed method.

空间曲线是造型中最基本的几何元素之一，对其有效的表示是造型的基础，而特征参数化表示是其中一种包含语义信息的高层次表示，本文对空间自由曲线的特征参数化表示进行研究，建立了一种针织物线圈的特征参数化几何模型，采用5个具有实际意义的参数表示织物线圈的几何形状及线圈之间的位置关系，并将该模型与能量极小化的方法相结合，得到了一种能较好地预测针织物缩水率的新模型，对随机选取的一些针织布缩水预测实验表明了算法的可行性。

In this paper, based on the comparison between CMOS and CCD image sensor and according to the principles of photometry and radiometry, the imaging range formula of CMOS image sensor in space-based system for space targets is derived with detail analysis, considering the metric of Signal-to-Noise Ratio and taking deep space as background.

在对CMOS和CCD传感器进行对比的基础上，从信噪比的角度出发，以深空作为背景，根据光度学和辐射度学的基本原理，对基于CMOS图像传感器的天基空间目标监测系统的成像距离进行了详细分析和公式推导，并以STAR-1000 CMOS图像传感器为例验证了理论模型和计算公式的正确性，最后对进一步提高CMOS图像传感器成像距离的方法进行了简要分析。

Under more ordinary conditions of L and R, we give an equivalent characterization of triangle inequality in definition of fuzzy metric space. It extends the result obtained by Kaleva and Seikkla [54] under the condition that L=min, R=max.

在L，R较为一般情形下，给出了模糊度量空间定义中三角不等式的等价刻画，推广了Kaleva和Seikkla[54]在L=min，R=max情形下得到的结果。

In this paper, the pointwise pseudo-orbit tracing property is defined on a compact metric space, and it is a generalization of pseudo-orbit tracing property.

本文给出紧致度量空间逐点伪轨跟踪性质的定义，该定义是伪轨跟踪性质定义的推广。

Our framework also subsumes a version of Tversky's set-theoretic model of similarity, which is conventionally thought of as the primary alternative to Shepard's continuous metric space model of similarity and generalization.

我们的架构也容纳了Tversky的相似性之集合论模型的观点，它在惯例上被视为Shepard对於相似性和普遍化之连续刻度空间模型的优先选择。

Our framework also subsumes a version of Tversky's set-theoretic model of similarity, which is conventionally thought of as the primary alternative to Shepard's continuous metric space model of similarity and generalization.

我们的架构也容纳了Tversky的相似性之集合论模型的观点，它在惯例上被视为Shepard对于相似性和普遍化之连续刻度空间模型的优先选择。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。