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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
Like the truncations of the Taylor expansion, the truncations of a chromatic expansion at t = t0 of an analytic function f(t) approximate f(t) locally, in a neighborhood of t0.
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It is available for the case that the sign of f(x) changes frequently or the derivative f'(x) does not exist in the neighborhood of the root, while the Newton method is hard to work.
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One allows the appearance of eight limit cycles in the neighborhood of infinity, which is the first example that a polynomial differential system bifurcates eight limit cycles at infinity.
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Neighborhood union of independent sets and hamiltonicity of claw-free graphs
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Let G be a graph, for any u∈V(G), let N(u) denote the neighborhood of u and d(u)=|N(u)| be the degree of u.
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| | We have made three pyrex floats of the bulb-rod stream-line type, modified from that used in the Trail laboratories. These floats possess cach a thick-walled bulb 6.5 mm in diameter, with an upper rod 3.5 mm long and a lower rod 8 mm long, each rod being 2.5 mm in diameter and forming an angle of 60° at the end. With baths having temperature fluctuations within ±0.0005°, the velocity-temperature relationship has been determiued in the neighborhood of their flotation temperatures. It is found that the ... | | 我們对於三只“球柱流線型”Pyrex玻璃浮沉子测定了升降速度与温度间的关系, 求得在室温左右,當浮定温度愈低時,並直線性關係的温度範圍愈大,相應的速度範圍也略大。在28.86°時,直線性關係的温度範圍為±0.08°,直線性關係的速度範圍為±0.19毫米/秒。在17.79°時,相應的數據是±0.26°和±0.22毫米/秒。因此,用浮定温度较低的浮沉子,可在約半度的温度範圍內選测两点,來求得重水的濃度。其次,我們在1大氣壓附近,測定了一只厚壁浮沉子在48厘米汞柱的壓力變動範圍内,浮定温度与压力变动呈直線性關係。 | | 文摘来源 | | A general theoretical approach is developed to treat the effect of point imperfections on the spin waves in a ferromagnetic crystal. Special attention is paid to the formation of localized modes. As an example, the calculations have been carried out for a one-dimensional linear lattice. The main results obtained indicate the following features. A substitutional magnetic impurity atom may introduce more than one localized mode of spin waves. The conditions for the localized modes to appear and the positions ... | | 本文提出了一个处理磁性杂质或其他缺陷在磁性晶体中对自旋波频谱的影响的一般理论方法,并特别着重讨论了局域模自旋波。以一维线性格子为例进行计算的结果显示出:一个代位磁性杂质,可能产生不只一个高于连续带顶的局域模。其产生的条件和其能级位置均通过J′S/JS和J′/J表达出来,这里S′和S各为杂质原子和基质原子的自旋量子数,J′和J各为杂质与近邻之间和一般近邻之间的交换作用系数。高度集中的应变和间隙原子如致使邻近处的交换作用增大,也导致局域模的出现。我们也考虑了磁偶极矩相互作用的影响,证明其并不破坏这些局域模的存在。我们还讨论了在J′<0时,连续谱之下出现的局域模能级。我们也指出,在某些情况下,自旋偏离过于局域在较少数的原子上,本文中所采用的Holstein-Primakoff近似就不十分合法了。 | | 文摘来源 | | In the present paper general formulas are derived for the resonant frequency, the amplication factor MP, the form coefficient (?), and the input impedance of a composite concentrator horn. On the bases of these general formulas, formulas for computation are given for the step type concentrator with either conical, or exponential, or catenoidal transition section at the step; for the conical concentrator with a cylinder at its small end; and for the catenoidal concentrator with a cylinder at its large end. V... | | 本文用近似理论导出了组合聚能器的谐振频率,放大倍数M_p,形状因数φ和输入阻抗的一般公式.在此基础上,对过渡段为圆锥形、指数曲线形、悬链线形的阶梯型聚能器,对窄端带有圆柱杆的组合圆锥形、宽端带有圆柱杆的悬链线形聚能器,分别给出了计算式.计算了在一定面积系数N下,上述聚能器的M_p,φ和在谐振频率附近输入阻抗与Kl_2的关系,给出设计曲线.实验验证了理论计算、理论值和实验值基本符合. | | 文摘来源 | |   | | << 更多相关文摘 |
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