Based on such results and their applications, the properties and structure of spectrum were studied in this paper.

基于以上成果及其应用价值，文章对矩阵的谱性质及结构进行了一系列的研究及推广。

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As such, the summary table typically contains pre-computed results based on the data existing in the table or tables that its definition is based on.

因此，汇总表通常包含基于其定义所基于的表中的现有数据的预计算结果。

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Yet physical indicators (such as electricity consumption) and the results of income comparisons based on purchasing-power parity (PPP) suggest that the GDP picture may not be entirely misleading.

但实物指标(比如耗电量)和以购买力平价(PPP)为基础的收入比较的结果表明可能GDP的情况不全是误导性的。

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And he has openly encouraged big clients not only to pay fees rather than commissions, but to pay fees based on results, with success being judged by such measures as the client's sales.

ECONOMIST: The efficient adman

Once these companies reach enough scale such that their algorithms can learn and improve based on the results of their own past decisions, a very powerful network effect kicks in that makes them tough to catch by copycats who lack the scale and history.

FORBES: 10 Rules For Disruptors In The Financial Services Industry

Arguing for more films based on games is a shaky soapbox to stand on as the results of such projects have largely been bad, with only a few exceptions.

FORBES: Will the Box Office Save the Video Game Star?