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The discussion is based on some property of arithmetic function.

为了判断整数是否为亲和数,在讨论数论函数性质的基础上,找到一种验证一个整数是否是亲和数的方法,从而给出了f=x2x+1不与任何正整数构成亲和数的结论,这里x为偶数,即关于y的方程σf(x=σ=f+y不存在正整数解。

Based on Bezier curve continuance of first-order and second-order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real-time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time.

为保证两段Bezier曲线在连接点处一阶导数、二阶导数连续,导出了两段Bezier曲线特征向量应满足的关系方程,Bezier插补法不仅在理论上可使所有的插补点落在曲线上,而且实时插曲补速度高,每次插补时可合理地选择参数增量,能使插补速度保证不变,也可控制弓高误差。

There were three major findings.(1) On the basis of the assessment of overall model fit and parameter estimates, the hypothesized second-order confirmatory factor analysis model represented an adequate fit to the sample data.(2) According to the cross-validation analysis, the second-order factorial validity of this scale was very stable.(3) This hypothesized model was invariance across these five important demographical variables, including school, gender, grade, right/left-handedness, and past experience in unintentional injury, via the testing of invariance in the multiple groups.

结果有三项主要的发现:第一、经整体暨个别的残差分析、整体模式之适配与其取代指标,以及估计参数之统计考验等结果,均指出假设此量表为二阶因素分析测量模式是相当恰当的;第二、经交互确认效度分析结果,显示此量表之二阶潜在因素结构是非常稳定;第三、经多组别不变量统计考验结果,指出此量表之二阶潜在因素结构,对於学校别、性别、年级、用手习惯,以及过去伤害经验这些社会人口变项,大致上具有因素个数、因素负荷量、因素变异数,以及测量误差变异数等不变量的特性。

Seven experiments were conducted in the present study to test and verify two inferences:(1) In character decision performance, high frequency character have not character stroke and component number effect, but low frequency character is an essential condition to stroke and component number effect;(2) In prime condition, when SOA is very short (SOA=56ms), component character can prime the recognition of low frequency compound characters, but failure to prime the high frequency compound characters.

在此基础上,本文通过7个行为实验验证了这一假设的两个重要推论:(1)在字决定任务中,高频汉字不存在部件数和笔画数效应,而低频字不必然存在笔画数和部件数效应;(2)在启动条件下,当SOA较短(=56毫秒)时,成分字仅对低频合体字有启动效应,而对高频合体字没有启动效应。

Next in section 2.3,usingthe finite isolated regular representations in SO(3)character varity of 〓,weobtained a computation formula of SO(3)Donaldson invariants with degree 1 of4—manifold 〓(Theorem 2.3.1).Finally in section 2.4 wediscussed the Donaldson invariants of 4—manifolds with smoothly embedded 2—torus 〓 whose selfintersection is +1,with the help of the single irreducibleSU(2)representation of the principal 〓—bundle over a 2—torus with Eulernumber—1,we got a gluing formula of the Donaldson invariant on the 2—homology represented by 2—torus 〓(Theorem 2.4.1),it is a supplement of P.

最后在§2.4我们讨论了具有自交数为+1的嵌入环面〓的4—流形的Donladson不变量,运用环面上欧拉数为-1的圆丛的单个不可约SU(2)表示给出了Donaldson不变量在环面表示的同调类上的一个粘合公式(定理2.4.1),这一结果补充了P。

Furthermore, we determine the nonorientable crossing number sequences of those graphs by their crossing numbers on the projective plane and the embedding technique. Then we show that the nonorientable crossing number sequence of C(10,4) is non-convex.

利用子式理论的部分结果,证明了一些循环图C(10,4),C(9,3),C(8,3)在射影平面上的交叉数,再利用嵌入技巧,得到了它们的不可定向交叉数序列,并证明C(10,4)的不可定向交叉数序列不是凸的。

Alliteration, inversion, etc. In a word, simulating the forms of the source language poems does not only bring us the joy of dancing in fetters, but also explores the representability of the target language.

当然,既然不同语言系统在外观上似无共同之处,我们不可能处处照搬,但其中必有相通的道理和规律可循,理应可以做到哪怕是部分的平行对应,例如行数、音节数、节拍数、韵式,甚至头韵、倒装等。

After giving BILLIONS to Wall Street hucksters and criminal investment bankers—billions with no strings attached and, as we have since learned, no oversight whatsoever—the Senate decided it is more important to break a union, more important to throw middle class wage earners into the ranks of the working poor than to prevent the total collapse of industrial America.

在给华尔街贩子和投行骗子们送去数十亿之后——不附加任何条件,后来我们发现也没有任何监督,啥也不附加的送上数十亿——参议院决定,与防止美国工业全面崩溃相比,更重要的是要干掉工会,让中产阶级工薪族去做苦工。

The latedischarges decreased from 9.29 ± 0.97 to 6.71 ± 0.68 with the A-fiberconditioning stimulus increasing from 1 to 5 (n〓8, P〓0. 05).(7) The intervalbetween the conditioning stimulus and test stimulus (C-T interval) wasincreasing, the inhibition tended to plateau off. At shorter time intervalsthe inhibition became more effective. When C-T interval was limited in 50ms,the inhibitory effects was the strongest, here, the late discharges reducedfrom 12.57±1.21to 2.29±0.42 (n=11, P<0. 01).(8) Behavior research showedthat the rat model of snake venom exhibited neuropathic pain with heathyperalgesia, cold and mechanical allodynia, which corresponding to the acuteelectrophysiological findings.

此时轻刷WDR神经元的感受野不能引起其活动改变,但伤害性齿镊夹捏仍可引起WDR神经元放电增多;〓5〓晚成分放电的潜伏期缩短,即宁静期的时程变短,由给蛇毒前的118.83〓3.67ms降至50.72〓1.36ms〓n〓32,P〓0.01〓;〓6〓在正常动物,如果预先给予只激活A纤维的弱条件电刺激〓mA,100μs〓可抑制随后的伤害性检验刺激所诱发的WDR神经元的晚成分放电,当条件刺激个数从1增加至5时,每次伤害性检验刺激所诱发的晚成分放电数从9.29〓0.97个降至6.71〓0.68个〓n〓8,P〓0.05〓;〓7〓固定条件刺激数为1个,当条件刺激与检验刺激之间的间隔增大时,A纤维条件刺激对WDR神经元晚成分放电的抑制作用逐渐减弱,当条件刺激与检验刺激之间的间隔在50 ms以内时,抑制效应最为显著,此时,晚成分放电数由正常时的12.57〓1.21个降至2.29〓0.42个〓n〓11,P〓0.01〓;〓8〓与急性研究中的WDR神经元电活动的变化结果相匹配,利用蛇毒制备的大鼠模型在行为学上表现为热痛觉过敏、冷觉的痛性感觉异常及机械痛觉过敏等慢性痛症状。

At the same time, most WDR neurons failedto respond to the light brush applied to the receptive fields, but they couldbe intensively excited by the noxious pinch.(5) The latency of the latedischarges was shortened from 118.83 ± 3.67ms to 50.72 ± 1.36ms (n〓32, P〓0. 01).(6) Preceding graded number of A〓fiber conditioning inputs (〓mA, 100 μs) delayed the C-activity evoked by the following nociceptive teststimulus activating both A- and C-fiber applied to the sciatic nerve. The latedischarges decreased from 9.29 ± 0.97 to 6.71 ± 0.68 with the A-fiberconditioning stimulus increasing from 1 to 5 (n〓8, P〓0. 05).(7) The intervalbetween the conditioning stimulus and test stimulus (C-T interval) wasincreasing, the inhibition tended to plateau off. At shorter time intervalsthe inhibition became more effective. When C-T interval was limited in 50ms,the inhibitory effects was the strongest, here, the late discharges reducedfrom 12.57±1.21to 2.29±0.42 (n=11, P<0. 01).(8) Behavior research showedthat the rat model of snake venom exhibited neuropathic pain with heathyperalgesia, cold and mechanical allodynia, which corresponding to the acuteelectrophysiological findings.

此时轻刷WDR神经元的感受野不能引起其活动改变,但伤害性齿镊夹捏仍可引起WDR神经元放电增多;〓5〓晚成分放电的潜伏期缩短,即宁静期的时程变短,由给蛇毒前的118.83〓3.67ms降至50.72〓1.36ms〓n〓32,P〓0.01〓;〓6〓在正常动物,如果预先给予只激活A纤维的弱条件电刺激〓mA,100μs〓可抑制随后的伤害性检验刺激所诱发的WDR神经元的晚成分放电,当条件刺激个数从1增加至5时,每次伤害性检验刺激所诱发的晚成分放电数从9.29〓0.97个降至6.71〓0.68个〓n〓8,P〓0.05〓;〓7〓固定条件刺激数为1个,当条件刺激与检验刺激之间的间隔增大时,A纤维条件刺激对WDR神经元晚成分放电的抑制作用逐渐减弱,当条件刺激与检验刺激之间的间隔在50 ms以内时,抑制效应最为显著,此时,晚成分放电数由正常时的12.57〓1.21个降至2.29〓0.42个〓n〓11,P〓0.01〓;〓8〓与急性研究中的WDR神经元电活动的变化结果相匹配,利用蛇毒制备的大鼠模型在行为学上表现为热痛觉过敏、冷觉的痛性感觉异常及机械痛觉过敏等慢性痛症状。

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Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

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