Try as he might, he was unable to find a general solution without using exponential resources.
尽管他很努力，但他没能找到不使用指数资源的一般性解法。
It can be shown that this recursive solution takes exponential time to run.
可以证明，这种递归解法需要耗费指数级的时间。
The decay rate of the corresponding strong solution at infinity is also given for some kinds of initial data with exponential decay.
若其初值以指数方式衰退，且空间可微，则此强解在之后的时间内也将以指数方式衰退。
This paper discusses the exponential stability of periodic solution for impulsive neural networks.
本文讨论了一类脉冲神经网络的周期解的指数稳定性。
Using the exponential dichotomy and ergodicity of functions, we discuss the existence conditions of asymptotically almost periodic solution for some linear differential equations.
利用指数二分及函数的遍历性，讨论了一类线性微分方程渐近概周期解的存在性。
Using the solution of S process chain with an exponential neutron irradiation the S process abundance distribution of AGB stars of different metallicities is investigated.
利用指数辐照理论的解析解研究了AGB星S过程元素的丰度分布规律。
By using the perturbed-energy method, the exponential decay of the solution is obtained for the nonlinear wave equations with time-dependent coefficients and dissipative boundary condition.
利用能量法证明了具耗散边界条件和时间依赖系数的非线性波方程的能量指数衰减性。
With this new approach, some sufficient conditions for the exponential stability of nonlinear systems are obtained, and the exponential decay estimation oft he solution is also proposed.
借助这一新方法，得到了非线性系统指数稳定的充分条件，并给出了解的指数衰减估计。
The equivalent impedances of inductor and capacitor in transient response were deduced from the exponential transient solution and the volt ampere relation of these elements.
利用暂态响应解的形式和电感、电容的电压与电流的关系，导出了电感和电容的等效阻抗，从而可用电路方法求解动态电路的暂态过。
The mathematical model with finite solution for bedding plane air-leakage is established, in which the air leakage intensity is regarded as attenuating follows proximately negative exponential law.
建立了层面漏风的定解数学模型，将地表漏风强度近似看作按负指数规律衰减。
By using the q-exponential function and q-logarithm function, the analytical solution of the equation is derived.
本文导出了对数凸函数的又一性质，并利用该性质很方便地推导了一类不等式。
By using the q-exponential function and q-logarithm function, the analytical solution of the equation is derived.
本文导出了对数凸函数的又一性质，并利用该性质很方便地推导了一类不等式。
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