查询词典 fractional dimension

Fractional integral is an essential branch of fractal theory. In this paper, the authors adopted fractional integral in the evaluation of time series dimension, which has a higher accuracy than other methods such as box dimension, gauge method and so on.

分数阶积分是分形理论的一个重要分支，应用分数阶积分进行时间序列维数估计，其精度比box维数、量规法等方法高。

Although its topological dimension is 2, its Hausdorff-Besicovitch dimension is log(3)/log(2)~1.58, a fractional value (that's why it is called a fractal).

虽然它的拓扑维数是2 ，其的Hausdorff - besicovitch层面是日志（ 3 ）/日志（ 2 ）？ 1.58 ，分数的价值（这就是为什么它被称为分形）。

Methods:Paticipants consisted of 32 simple VSD patients and 27 simple PDA patients excluded of any other diseases by physical examintation and electrocardiogram and x-ray. Patients were suggested echocardiography before and one week after the surgerys. Parameters such as Left ventricular ejection fraction、Fractional shortening、Left ventricular end-diastolic dimension、Left ventricular end-systolic dimension、Heart rate and Aortal velocity peak were measured.further more ,the Tei index which is originated from Pulse-wave Doppler and Tissue-Doppler Imaging were also calculated under ECG monitoring.

研究对象与方法：研究对象分别为排除其它心脏疾患的单纯动脉导管未闭患儿及单纯室间隔缺损患儿，手术治疗前后于心电监护下先行常规超声检查，获取心率、R-R间期、左室射血分数、主动脉峰值流速、左室收缩末期内径及左室舒张末期内径等值，并分别利用频谱多谱勒及组织多谱勒法测取患儿左室Tei指数(即PW-Tei及TDI-Tei)，多次测量并取其均值。

Then, according to phase space reconstruct technique from one-dimensional and multi-dimensional time series, the quantitative criterion and rule of system chaos which combine neural network, analyses, computations and sort are conducted on EEG signals of five kinds of human consciousness activities. The author finds that statistic results of the determinism computation in time series indicate that chaos characteristic may lie in human consciousness activities, and central tendency measure is consistent with phase graph, so it may become one division way of attractor; approximate entropy of different subjects exists discrepancy; correlation dimension and Lyapunov exponent of different consciousness activities indicate that attractors of human activities are all fractional; nonlinear quantitative criterion and rule, which unites neural network, can distinguish different styles of consciousness activity in principle, and the result of sortation takes on that consciousness activity type of arithmetic is distinguished more easily than that of abstract.

采用一维与多维时间序列相空间重构技术和系统混沌的定量判据准则，结合神经网络，对五种思维作业方式的脑电信号进行了分析、计算与分类，发现确定性计算的统计结果表明人类的意识活动中可能蕴含混沌特性，中心趋向测量(Central Tendency Measure，CTM)与相图吻合较好，可作为EEG吸引子的区分方法之一；功率谱分析反映出单个受试者的各种意识形态的差异很小，但是不同意识活动谱中的活跃频段还是略有差异的；个体之间的近似熵存在差异，同种状态下近似熵大的人可能具有更好的创新性；关联维数和Lyapunov指数的计算结果表明大脑的运动落在具有分维的奇怪吸引子上；非线性量化方法与神经网络相结合，可对人脑思维活动进行较好的分类，并且从分类结果来看数理计算类思维活动较抽象类思维活动有着更好的区分度。

And we give the effects of the barrier height on fractional dimension, exciton ground energy and binding energy.

另外，非对称方势阱中的激子结合能随阱宽的减小而增大，且随一侧势垒的增大而增大。

The experimental results and theoretical analysis show that the predicted value of interfacial bond strength of old-new concrete is more precise when the roughness of old concrete fracture surface is characterized with fractional dimension D.

利用自行研制的分维仪对试验后的老混凝土断裂面进行测试，并应用分形几何这一理论工具对测试结果进行分析，得到了老混凝土断裂面的分数维与新－老混凝土界面粘结强度的关系。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。