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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。 | |
For modular representations the ring of invariants usually fails to be Cohen-Macaulay and computing the depth is often very difficult.
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In particular, we prove an integral formula for the degree of an ample divisor on a variety of complexity 1, and apply this formula to computing the degree of a closed 3-dimensional orbit in any SL2-module.
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Computing invariants of reductive groups in positive characteristic
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This paper gives an algorithm for computing invariant rings of reductive groups in arbitrary characteristic.
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We present an algorithm for computing the invariant field k(X)G.
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| | Since the year 1886, the Dupuit-Forchheimer theory and formulas for gravityflows toward wells and galleries have been broadly used in all nations of theworld. In these formulas, assumptions are made for underground flows fromfarther distances in horizontal directions at a constant rate toward wells andgalleries. According to the author's analysis, these assumptions are not consistentwith the actual conditions of flow, hence the formulas obtained therefrom are notrational, and the employment of these formula... | | 1886年以来,杜布义-福熙罕默(Dupuit-Forchheimer)的井流及沟流的理论与计算用公式被世界各国广泛地应用着。公式假设地下水从远处沿着水平方向以定率流向井内或沟内,按作者分析这种假设并不符合实际情况,因之所得公式也不合理,用这些公式来推论水位降落或井径对於出水率的影响也没有合理的凭据。作者推论,井流或沟流的水实际上是从水面线以上,在其降落并扩大的过程中,排除了存积的水,沿着直垂方向所供应着的。因为从土壤颗粒的空隙间排除重力水,使减为薄膜水,每需时一两天,而水面上的毛细管水又是横向贯通并互相接济着,所以垂直供水可以维持很久,而潜流也决不会绝对稳定。根据这垂直供水的不定汉条件引出了沟流的水面线公式,结果符合蒲薪奈斯克的偏微分方程式。另外,作者又拟具了简化的井流及沟流计算用公式。这些公式和杜氏-福氏公式比较,所得出水率较大,而水面线则合理地切於静水线,切点随着时程向远处移动。柯臣尼(J.Kozeny)最早指出井边地内水深不会低於静水深一半的现象,本文中作者根据最小工作定律试拟了理论的证明以支持之。根据这些理论,引出了从静水中抽水时井流、沟流最大可能出水率的公式,以供水文地质工作者初步估算之用。 | | 文摘来源 | | Since the beginning of the last half century, the science of hydrology through successive steps of development has advanced to the realm of quantitative analysis. Engineers employed empirical methods to compute river discharges from precipitation data in answer to the ever-increasing demands made upon hydrologic analyses for engineering works. Yet for the phenomena of conflux of flows from precipitations, there exist only meager and fragmental quantitative analyses, without, so far, a systematic study of th... | | 半世紀來,水文学在發展的过程中已進入了定量分析的途徑;工程師們曾用各种經驗性的方法依據降水的资料推演河槽裹水流的現象,以应各种工程建設对於水文分析的要求。但是对於降水集流的过程始終祇有一些零星、片面的数值分析,没有一套完整的理論系統,因此阻碍着水文学在理論与应用方面的發展。作者曾用流体力学的分析法初步建立了降水集流的理論系統,把降水集流的过程分為三個階段:雨降地面逕流的產生、地面流、槽流之滙集,分别予以分析。本文便是其中第一階段,亦即最基本水文現象的分析。这些建立了的理論可以用為指導各种水文分析的南針,用為評論各种水文計算法的依據,並可用以創造一种近似而合理的方法,从降水資料推算逕流資料。本文中作者貢献一套理論,以分析地面點上降雨產生逕流的过程,揭發了基本水文現象的本質,最後並列舉实例的計算。早年郝登(R.E.Horton)曾依據郝納(W.W.Homer)的地面流实驗資料建立了一套在小地域內降水和逕流關係之理論,其後学者們根據他的理論和方法,用人工降雨法或流域資料实測法來確定降水和逕流間的關係。郝登的分析並没有从準確的動力学观點出發。在实際分析中發生了欠缺理論基礎的根本問題。这方面作者持着不同的意見。本文中根... | | 文摘来源 | | In the case of nonoverlapping line approximation, the author has found the relationship of the general conversion for the determination of atmospheric integrated absorption functions from laboratory absorption measurements and derived the effective condition of the Curtis-Godson approximation. The cause of error which is produced in computing the integrated absorption functions and the heating rates by C-G approximation is explained. | | 本文给出了在非重迭线近似情况下,用实验室测量的吸收资料去决定大气积分吸收函数的普温转换关系式,导出了Curtis-Godson近似的有效性条件,并以此解释了利用C-G近似计算积分吸收函数及其加热率产生誤差的原因。 | | 文摘来源 | |   | | << 更多相关文摘 |
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