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Secondly, the existence of chaos in a special class of discrete-time neural network models with sinusoidal activation function in the sense of Devaney with some parameters of the systems entering some regions are rigorously presented by means of anti-integrable limit method. Whats more, period-doubling bifurcation and saddle-node bifurcation in the neuron model are studied.

其次，利用反向可积极限方法证明了一类周期输入输出函数的离散神经网络模型在参数达到一定范围时产生Devaney意义下的混沌，并讨论了其一维情形的神经元模型出现倍周期分支和鞍-结点分支的情况。

The simulated climate fields were decomposed with the spherical harmonics function and the corresponding spectral analysis was made,thus the spherical harmonics feature of global 500 hPa height and the sea level pressure in several truncations was investigated and the field changes on doubling CO2 were analyzed too.

对模拟的气候场用球谐函数作波谱分析，得到了全球500hPa高度和海平面气压在不同截断时的波谱特征以及由CO2倍增(2×CO2)引起的流场变化。

The poor little thing was snorting like a steam-engine when she caught it, and kept doubling itself up and straightening itself out again, so that altogether, for the first minute or two, it was as much as she could do to hold it.

可怜的小东西是吸食像蒸汽机时，她抓住它，并不断翻了几番起来，再次整顿本身，因此完全，首两分钟，但她一样可以做些什么来保持它。

Alice caught the baby with some difficulty, as it was a queer- shaped little creature, and held out its arms and legs in all directions, 'just like a star-fish,' thought Alice. The poor little thing was snorting like a steam-engine when she caught it, and kept doubling itself up and straightening itself out again, so that altogether, for the first minute or two, it was as much as she could do to hold it.

爱丽丝费劲儿地抓住那个小孩，因为他是个样子奇特的小生物，他的胳膊和腿向各个方向伸展，"真像只海星，"爱丽丝想，她抓着他时，这可怜的小家伙像蒸汽机样地哼哼着，还把身子一会儿蜷曲起来，一会儿伸开，就这样不停地折腾，搞得爱丽丝在最初的一两分钟里，只能勉强把他抓住。

After undergoing a chaotic region, the period number will add one, in the same time, magnitude of the subharmonic response increases in sequence as the rotational speed ratio increases. When the rotational speed is below the critical speed, the chaotic bands resulted directly from a perioddoubling bifurcation occur among the successive orders of superharmonic responses, then they can return directly to periodic motion by a reversed period-doubling bifurcation.

在转速小于临界转速的情况下，在分岔图中各个连续阶亚谐运动的转换区中分别都出现了经由一个倍周期分岔直接导致的混沌频带，后又直接由一个逆倍周期分岔转化为周期一的运动，同时在三个混沌频带之间都出现了幅值突跳的现象。

In January it released an emergency financial plan. The report's suggestions included doubling the property tax, selling city-owned garages, increasing water and sewerage rates by 20%, selling city-owned museums and selling City Island, a 63-acre (25-hectare) park in the nearby Susquehanna river. The city decided to have none of it.

在1月份发布的紧急经济计划的报告中包括双倍的物业税，出售城市车库，增加20%水和污水处理，售卖城市所属的博物馆以及城市岛，该岛在萨斯奎汉纳河附近的面积为63英亩（25公顷）的公园。

"If you live both near a freeway and in an area of high air pollution, our results suggest that you're getting, in a sense, a doubling of the effect -- both the regional pollution levels that the children are breathing as well as the air that they are breathing, that is coming out of the tail pipe."

如果你生活在高速公路旁和高污染的地区，在某种意义上，我们的结果表明是你将承受双重危害效应，既包括地区污染对儿童呼吸系统的影响，也包括来自于尾气对其的影响。

" If you live both near a freeway and in an area of high air pollution, our results suggest that you're getting, in a sense, a doubling of the effect -- both the regional pollution levels that the children are breathing as well as the air that they are breathing , that is coming out of the tail pipe."

如果你居住公路和高空气污染地区，我们的研究结果会认为，在某种意义上，你正遭受着双重的影响----孩子们不但正呼吸当地的污染空气，而且还呼吸的排气尾管排出的废气。

If you live both near a freeway and in an area of high air pollution, our results suggest that you're getting, in a sense, a doubling of the effect -- both the regional pollution levels that the children are breathing as well as the air that they are breathing, that is coming out of the tail pipe.

如果你生活在靠近高速公路或者空气污染严重的地区，我们的研究表明你从某种角度来说在两方面受到影响：首先孩子们呼吸的空气具有很高的污染等级，其次他们呼吸的空气是从尾气管中排放出来的。

"If you live both near a freeway and in an area of higher air pollution, our results suggest that you're getting, in a sense , a doubling of the ef fect--both the regional pollution levels that the children are breathing as well as the air they breathing, that is coming out of the tail pipe."

"如果你们都住在公路附近，而且在一个空气污染更严重的地区，我们认为，从某种意义上讲，你会得到加倍的影响，呼吸着区域性的被污染的空气和汽车排气管中排除的废气。"

The basic concept of FOP can be summarized as to further optimize effective prescription according to the standard of curative effects and with the aid of modern science and technology and theories of traditional Chinese medicine.

其基本内涵可概括为：以确有疗效的中药复方为研究对象，以现代科学技术和传统中医药理论为技术支持，以该复方所治病证的药效响应为评价标准，以优化重组疗效更优的新复方为研究目的。

Ever since our world has been a world, native forests have been indiscriminately exploited by man.

自从我们的世界一直是世界原生森林被任意剥削人。