In order to increase the security of the image encryption, the weighted fractional Fourier transform with dilation parameter (PWFRFT) is proposed.

为了提高图像加密的安全性，提出了一种多参数加权类分数傅里叶变换。

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The resu lts showed that the condensation degree of the fractions decreased and the structure became simpler with the fractional number increase.

结果表明，胡敏酸各级分随级分数的增大芳构化度逐渐降低，分子结构趋于简单。

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Once banks start lending again and expanding base money through the fractional reserve system, M2 could increase exponentially.

FORBES: An Inflationary Death Spiral

Some of the same factors are driving an increase in corporate jet ownership, fractional and otherwise.

CNN: Corporate air charters take wing

Despite the increase, there was only a "fractional" rise in average salaries awarded to permanent staff across Scotland.

BBC: Scots job market recovery 'slows' down