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German idealists, such as Fichte, Hegel, and Schelling, expanded on the work of Kant by maintaining that the world is constituted by a rational mind-like process, and as such is entirely knowable.

德国理想主义者，如费希特，黑格尔和谢林，扩大工作的康德维持这个世界是由一个合理的心态一样的过程，因此是完全可知。

Since we began operations in China in 2005,relying on our international background and solid strength in this field, we have expanded our businesses aggressively.

自从我们在2005年进入中国以后，凭借我们的国际背景和在这一领域的强大实力，我们的国内业务增长迅速。

As we know, the resulting algebraic equations are large systems of non-linear equations with the expanded mixed finite element method for the equation.

用扩张混合有限元方法对其进行离散是常用的方法，其离散化所获得的代数方程组是一很大的非线性方程组。

Like Fourier analysis, any function with finite energy can be expanded on the orthonormal wavelet bases.

与Fourier分析方法一样，任意的能量有限函数可以用小波正交基展开。

Any function on an interval will be expanded as the sum of finite items of the scaling functions and wavelets. It plays an important role for numerical analysis of partial differential equations, signal processes, and other similar problems.

于是，任何有限区间上的函数皆可表示为该区间上的尺度函数和小波函数的有限和，即小波级数，这克服了用无穷区间上的小波进行有限信号处理时，在边界上误差较大的不足，同时将该小波用于偏微分方程具有同样重要的意义。

With aperture expanded as the sum of finite complex Gaussian terms, a more practical approximate analytical solution of fractional Fourier transform of Gaussian beam in an apertured paraboloid refracting system is obtained and also numerical investigation is presented.

通过将孔径函数展开为有限项复高斯函数之和，得到了高斯光束在受孔径约束的抛物面折射系统中分数傅里叶变换较符合实际的近似解析表达式，并进行了数值模拟。

Rigorous first order vector couple-wave theory of planar grating are expanded to more complicated surface-relief grating case.

从计算结果可以看出：在特定的条件下，光栅可以达到非常高的衍射效率，理论上接近100％。

They expanded into a full line of components and fishing tackle.

他们扩展到众多的元件和渔具全套生产线。

However, the company continuously suffered from the non-profitable operation, which troubled Mr. Robert Fitzsimmons. Due to the high cost on oil sand productions and limited financing available, the company often failed to cover its end needs, which led to its bankruptcy by the end of 1930s. In 1948, Bitumount plant was received by the government, and became a dedicated oil sand test base. Large-scale facilities were equipped, thus expanded the scale of oil sand experiments on oil extraction. By 1949, the plant reached a production capacity of 450 tons per day!

但是公司惨淡的经营状况却一直是困扰Robert Fitzsimmons的问题，由于当时的油砂开发成本太高，资金来源又非常有限，公司的财务状况经常是入不敷出，终于导致公司在30年代末破产。1948年，Bitumount的工厂被政府接管，作为专门的油砂实验基地，并为之添置了大型的设备，将油砂的开发和萃取实验规模扩大。1949年工厂的生产能力已经达到日处理油砂450吨！

From 1860 to 1900 the number of urban areas in the United States expanded fivefold.

从1860年到1990年美国城市的面积扩大了5倍。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了