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Structure-Based Approximation Learning Theory: Under the description of manifold and topological architecture of neural field, we have proposed a learning frameworks of neural networks based on global architecture approximation theory borrowed from the concept of topology and manifold to solve the optimal problems of learning in non-nonlinear and non-Euclidean space, and discussed a few basic components of the learning theory, learning mechanism and learning algorithm in the term of structure-based approximation and global structure analysis.

基于结构的逼近学习理论：通过人工神经网络模型神经场的流形结构和拓扑结构描述，我们提出了在非线性和非欧氏空间中基于整体结构逼近的神经场学习理论框架；用对偶流形理论和拓扑概念作为工具，讨论了神经网络的学习理论、学习机理、学习算法和算法的具体实现。

The ash from open-field burning or from non-controlled combustion in industrial furnaces usually contains a higher proportion of non-reactive silica minerals such as cristobalite and tridymite.

由开阔场地燃烧或在工业炉中不加控制地燃烧得到的灰通常含有较高比例的非反应性二氧化硅矿物质。

The ash from open-field burning or from non-controlled combustion in industrial furnaces usually contains a higher proportion of non-reactive silica minerals such as cristobalite and tridymite, and it should be ground to very fine particles to develop pozzolanic activity.

由开阔场地燃烧或在工业炉中不加控制地燃烧得到的灰通常含有较高比例的非反应性二氧化硅矿物质，例如方石英和鳞石英，而且，要发展火山灰活性，它应该被研磨成很细的颗粒。

Cubic non-uniform trigonometric polynomial curves with multiple shape parameters are presented in this paper. They are C^2-continuous for a non-multiple knot vector and C^3-continuous for a uniform knot vector respectively. The ellipses can also be represented by them.

对于非均匀节点向量给出了一类带多个形状参数的三次三角多项式曲线，这类曲线具有三次多项式B样条的许多重要性质：对非重节点为C^2-连续，对均匀节点则为C^3-连续，能直接表示椭圆。

In this article, verbs in Japanese with the characteristic of "aspect" are divided into three groups by "Tripartition": 1 action verbs, 2）non-action verbs, 3both action and non-action verbs.

本文通过分析和探讨先行研究中两篇有关日语动词的"体"特征分类的主要论文，指出它们存在的问题，并对具有"体"特征的动词进行了重新分类。

Since that trope of non-self-instantiation does not instantiate itself, it might have its own different trope of non-self-instantiation .

因为，非自身例现的殊质，并不例现自己，它可以有自己不同的非自身例现殊质。

First of all making cards and membership cards produced letterpress and seihan method in the tubbish steel plate of what needs to be prepared on pattern and some non-pictorial, pre-etching post-penetrating is too large gap insert bars of non-magnetic materials.

首先用制卡和会员卡制作凸版制版法在桶形钢板上制备所需要之图案，并将非图案部分刻蚀穿透，太大的空隙应加上非磁材料的栅栏。

The factors for the formation of turbidness in yellow wine are biological turbidness and non-biological turbidness , and biological turbidness compared with non-biological turbidness is easier to solve.

黄酒产生浑浊的原因有生物浑浊和非生物浑浊，生物浑浊容易解决，非生物浑浊的解决难度较大。

The factors for the formation of turbidness in yellow wine are biological turbidness and non－biological turbidness, and biological turbidness compared with non－biological turbidness is easier to solve.

摘 要：黄酒产生浑浊的原因有生物浑浊和非生物浑浊，生物浑浊容易解决，非生物浑浊的解决难度较大。

Based on Prandtl's momentum transportation, this paper calculates in detail the physical quantities such as eddy viscosities, and ratio of eddy viscosity to motion viscosity, total stresses with respect to relative position in three regions of viscous sub-layer, buffer layer, and main turbulent stream for non-Newtonian fluid flowing turbulently in ducts, which according to Karman's three layer models and measurement of fluid parameters in evaluation apparatus, discusses the influence of polymer drag reduction on flowing properties of non-Newton fluid, analyzes quantitatively principle of turbulent reduction phenomenon and condition of increasing reduction rate.

摘要以普兰德动量传递理论为基础，按照卡门的三层模型，通过室内模拟环道用0号柴油及加入减阻剂在圆管内的流动参数的测定，计算了非牛顿型流体管内湍流边界层的层流内层、过渡层、湍流中心的涡流粘度，涡流粘度与运动粘度比、总应力随相对位置的变化等定量参数，探讨了高分子减阻剂对非牛顿流体流动特性的影响，对湍流减阻现象的机理与增大减阻率的条件进行了定量分析。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。