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Firstly, the reactivity of benzaldehyde is studied utilizing the autoclave designed by us in near-critical water.

通过对苯甲醛在近临界水中反应后产物的分析检测认为，苯甲醛在有限的温度范围内微量的发生了Cannizzaro反应，并同时伴随有苯甲醛自身的羟醛缩合反应等其他副反应的发生。

We firstly report that the terminated group of the C-PPV prepared through the Gilch route is benzyl halide.

C-PPV溶液的浓度对形成的聚集体的形貌和光谱性能没有影响。

Based on Bernoulli equation of unsteady flow, a random walk model is presented firstly for numerical simulation of unsteady flow in river networks.

首次从非恒定流能量方程出发，建立随机游动模型，用蒙特卡罗方法数值模拟大型河网非恒定水流运动。

The parametric speed of the curve is firstly approximated by the Bernstein polynomial, which takes the lengths of control point vectors of the direction curve of normal as Bézier coordinates.

其次 ，基于参数速度的 L egendre多项式逼近和插值区间端点的 Jacobi多项式逼近，导出了保持法矢平移方向的两种代数方式的等距有理逼近算法。

In this paper, we firstly introduce" Bertrand paradox", then by improved Hotelling model, explain rationally" Bertrand paradox", then we define oligarch's advantage cost, offer each oligarch's perfect positioning strategy under differential cost.

本文首先介绍了伯川德悖论，接着利用改进的霍特林模型，对著名的"伯川德悖论"进行了合理的解释，定义了寡头的成本优势，给出了具有不同成本优势的情况下，不同寡头的最优定位纯策略和各自的最优利润。

In chapter 1, firstly, by using classical analysis methods, such as the introduction of Bessel function and semigroup theory, we transform the pseudo-parabolic equation into an abstract operator equation and achieve the existence and uniqueness of the local solution.

在第一章中，利用经典的分析方法，引入Bessel势函数，将伪抛物型方程转化为抽象算子方程，首先，利用算子半群理论，论证了局部解的存在唯一性。

Tubbs firstly used a regularized Beta function to fit the contrast transform of an input image.

不同对比度分布的图像应采用不同的对比度变换函数。

Firstly, when I wanted to quit betel nut, my daughter, son, and grandchild all agreed.

第一点，我戒槟榔，我的女儿、儿子、孙子都很赞成；第二点，身体变得很好；第三，我们不会制造很多环保问题。

In this paper, firstly, the embeddability of near-triangular graphs on the orientable surface is studied. By using Petersen's Theorem about 1-factor, we first prove that for a near-triangulation on the orientable surface, its geometry dual graph has a 1-factor; then after a procedure of operation leaded by the 1-factor, we show that if a graph G triangulates some orientable surface S_g, then G has a near-triangular embedding in S_h for h = g,g + 1,...,β(G/2」, where β is the Betti number of G. Hence we obtain a conclusion: A near-triangulation of the orientable surface is upper-embeddable. As a generalization, a class of near-quadrangulation is studied, and similar results are obtained.

本文首先研究了近三角剖分图的可定向曲面嵌入性质，通过运用Petersen关于1-因子的定理，首先证明了对于可定向曲面上的三角剖分图，其几何对偶图具有1-因子；然后在1-因子的导向下，通过做一系列增加亏格的手术，证明了如果一个图G三角剖分可定向曲面S_g，那么G可以近三角剖分可定向曲面S_h，这里h=g，g+1，…，「β(G／2」，β是指图G的Betti数，从而得出推论：可定向曲面上的三角剖分图是上可嵌入的，作为推广，又研究了一类近四角剖分图的可定向曲面嵌入性质，并得到类似的结论。

Helfrich firstly proposed the spontaneous curvature model based on the similarities of the lipid membrane and the nematic phase liquid crystal,thus proved the existence of the biconcave shape.

Helfrich根据向列相液晶与类脂膜的相似性，于1973年最先提出了膜的自发曲率弹性理论，并由此证明了膜的双凹盘形的存在；同时，考虑到膜泡双层间的面积差对膜泡能量的影响，1989年S。

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。