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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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| | A method of deflection-proportioning and slope-estimating for computing the wind stresses in multi-storied building frames is presented in this paper. No matter whether the building frame is regular or irregular, this method affords a simple solution with accurate result. | | 本文舉一位移比率角變估計法,以之分析多層屋架之風應力,該項屋架,不論規則與否,均可利用本法,其所採步驟,既十分簡單,其所得結果,又相當精確。本法首先利用角變位移法,考慮屋架之相對形變,亦即估計屋架各層之相對位移,以及屋架各結點之相對角變。然後利用撓矩分配法,求得柱梁二端之相對撓矩,尋求該項相對撓矩之時,可以利用第一步之結果,亦即估計柱二端之相對定端撓矩,以及結點四圍之相對傳遞撓矩,先傳遞而後分配之。最後利用疊加原理,觀察屋架各層之相對平向剪力,與共實在平向剪力,成何等之比率。如將第二步之結果,乘以該項比率,則所得之撓矩應為正確之值。 | | 文摘来源 | | This paper is a supplement to the author's previous paper "The Constants and Analysis of Rigid Frames", published in the first issue of the Journal. Its purpose is to amplify as well as to improve the method of propagating joint rotations developed, separately and independently, by Dr. Klouěek and Prof. Meng, so that the formulas are applicable to rigid frames with non-prismatic bars and of closed type. The method employs joint propagation factor between two adjacent joints as the basic frame constant and t... | | 本文為著者前文“剛構常數與剛構分析”之補充,其目的在將角變傳播法及不均衡力矩傳播法加以改善,以便實用。此二法均只需一個公式以計算剛構中所有各桿端之基本剛構常數(即任何二相鄰結點间之角變傳播係數),將此項公式與柯勞塞克之公式相比較,藉以指出前者較後者為便於應用,並亦可用之以直接分析較簡單之閉合式剛構,此外補充說明此法中之剛構常數與定點法之關係,剛構有側移時計算各結點角變所需之各項公式亦行求出。不均衡力矩傳播法係顧翼鹰同志最近研究所得者,既係直接以桿端力矩為計算之對象,而且只須採用不均衡力矩分配比將各結點作用於各桿端不均衡力矩之總和,一次分配,即得所求各桿端分配力矩之總值,實係力矩一次分配法之一大改進,著者將顧氏之法加以推廣与改善,使其原則簡明而計算便捷,著者認為此法係將林、柯、孟三氏法之所有優點熔冶於一爐,實可稱為现下最優之力矩一次分配法。最後列舉算例,以說明此二法在實際工作中之應用。 | | 文摘来源 | | An approximate and rapid method for computing the stresses and shape constartts of elastic arches is presented in this paper. The fundamental idea of this method lies in the fact that the variation of the elastic area (ds/EI) of the arch with respect to x can be represented approximately by an elementary algebraic function which can be determined with but little labor. After this function is found, all necessary computations can be done by direct integration instead of the usual tedious arithmetic sum... | | 本文目的在提出一種求拱應力及拱常数的近似算法。主要關鍵在求出一能近似表示拱截面ds/EI變化之代數式,使各項計算均得由直接積分完成,避免分段計和,因而極爲簡便。最後結果以公式表示,其準確程度巳敷實際需要,必要時可予提高。 | | 文摘来源 | |   | | << 更多相关文摘 |
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