A sufficient condition of stability in analytical form for arbitrary number of modes is obtained.

导出适用于任意阶模态的解析形式稳定性充分条件。

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A new semi-experimentally zero-temperature equation of state with analytical form for ionic crystals is derived in this paper.

本文导出一种新的半经验的离子晶体的零温物态方程，它具有解析形式。

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The Gaussian index profile of a diffused optical waveguide is approximated by an appropriate polynomial, and the asymptotic solutions of the mode efficient index is derived in a analytical form.

本文用适当的多项式函数近似扩散光波导的高斯折射率分布函数，推导了导模有效折射率的解析形式渐近解。

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It is this ethical commitment to rigor that distinguishes philosophy (at least in its analytical form) from science, which has begun facing a veritable inquisition, both in the academic and popular press, for sloppy thinking, cherry picking data, systemic bias and, in some cases, outright fraud.

FORBES: The Wrongs Of Righteous Research

This is especially true in online analytical processing, which stores the data in an optimal form to support specific types of analysis.

FORBES: Big Data Requires a Big, New Architecture