數的幾何學 的英文怎麼說
中文拼音 [shǔdejīhéxué]
數的幾何學
英文
geometry of numbers-
The scielltific computational theories and methods on bird strike to the windshield of aircraft have been systematically studied and summed up in this thesis, such as fem comptltational principles and procedures to elastic dynamic problems under the conditions of small and non - linear finite deformation, 3d viscous elastic constitutive theory and incremelltal expression under the consideration of the rate effect of non - metallic materials like the aircraft windshield, and the numerical compatational principles and key constitutions for impact - contact dynamic subjects
2 、系統學習並歸納總結了鳥體撞擊風擋結構問題中的科學計算理論與計算方法。按照鳥撞問題數值計算方法逐步深入的思路,系統總結了小變形結構動力學有限元數值計算方法、有限變形的幾何非線性有限元數值計算方法、粘彈性體非線性形變的本構物理關系;對于實施復雜結構有限元動力學計算的載荷增量方法提出了對newmark差分的改進以及進行材料與幾何非線性數值計算的細致步驟。These five beginning lessons grow to include such topics as algebra, square and cube roots, geometry, botany and zoology, evolution and classification, chemistry and physics experiments, the history of math and language, grammar and sentence analysis, and so on
這五個最剛開始的課程就是要去引出許多學習的范疇,包括像代數,平方和立方,幾何學,植物學和動物學,進化和分類,化學和物理學的實驗,數學和語言的歷史,文法和句型分析等等。The benefit of this cooperation has been that archaeoastronomy has expanded to include the interrelated interests in ancient and native calendar systems, concepts of time and space, mathematics, counting systems and geometry, surveying and navigational techniques as well as geomancy - dowsing - and the origins of urban planning
該合作的好處就是考古天文學已經擴展了包括古代和本土日歷系統、時間空間概念、數學、計算系統和幾何學、測量和航海技術以及泥土占卜相關的興趣-探尋水源和礦藏-和城市規劃的由來。The upshot of the controversy is that the pure geometers reasserted their role in mathematics.
論戰的結局是純粹幾何學家重申了他們在數學中的作用。Taking the contact stress, bend stress stiffness and temperature stress as the condition, taking the weight of the kiln tyre as optimization aim function, the redia and the width of the tyre are optimized general optimize methods just consider the affecting of the parameters to aim function, but in fact, structural parameters ( such as structure dimension, interval and so on ), physics and dynamics ( damp factor, conduct factor, friction factor material ' s elastic module strength limits and so on ), which would be changed after used. the difference are called discrepancy robust design ' s basic concept is : all design parameters " discrepancy will affect the aim funct ion and arouse the quality target discrepancy
一般的優化方法,僅僅考慮了參數對其目標函數的影響,而實際情況下有些參數是變化的,產品的結構參數(如幾何尺寸、間隙等) 、物理和力學參數如阻尼系數、傳導系數、磨擦系數、材料的彈性模量和強度極限等的設計值與製造后和使用中的實際值會有差異,這種差異稱為設計變量和噪聲因素的變差。A concept of step - by - step round angle surface for transition and its mathematic modeling was put forward first time. different fiber placement patterns ( 0, 90and 45 ply ) and their simulation module were designed. a simulation system for fp - - - - - - simjoint system for satellite triangle conjunction was composted, which include mandrel modeling, fiber placement trace in mandrel simulation and robot ' s kinematics simulation
詳盡描述了構架式衛星接頭的幾何建模過程,針對所研究對象的特點,提出了用於變截面曲面之間過渡的漸進圓角過渡曲面的概念,並建立了相應的數學模型;針對構架式衛星接頭設計了90 、 0和45等不同角度對應的纖維路徑和鋪絲線型模擬模塊。Sacred geometry - the star tetrahedron - which is the star of david - counter rotating fields linked to the spirals of movement of consciousness from one level of reality to another
神的幾何學-星四面體-就是大衛之星-連接到實相層面到另一個層面意識運轉的螺旋計數器旋轉場。Besides, this paper adopts the random finite element method, uses geometric and physical mechanical parameters that are relevant to lining weight of surrounding rock, coefficient of lateral pressure, height or buried depth of vertical loading, elastic resistance coefficients of surrounding rock, elastic modulus of support structure, unit weight of concrete, thickness of the structure as well as torsional strength and compression strength of concrete and etc., as random variables, applies the monte - carlo method to sampling by computer, preliminarily evaluates the reliability of bearing capacity and stability of molded concrete lining of the xuefeng mountain tunnel, and obtains the related displacement of the lining, mean value and variance of internal force, and computed the reliability index of lining structures
此外,本文採用隨機有限元方法,將圍巖容重、側壓力系數、垂直荷載高度或埋深、圍巖的彈性抗力系數、支護結構的彈性模量、混凝土容重、結構的厚度以及混凝土的抗扭與抗壓強度等與襯砌結構有關的幾何與物理力學參數作為隨機變量,應用蒙特卡洛理論進行計算機隨機取樣,對雪峰山隧道模注混凝土襯砌的承載力與穩定性的可靠度進行了初步評估,得出了襯砌的相關位移與內力的均值和方差,並計算出了相應的襯砌結構可靠指標。2005, 24 : 561 - 566. 77 botsch m, bommes d, kobbelt l. efficient linear system solvers for mesh processing. lecture notes in computer science, 2005, 3604 : 62 - 83
本文還將簡單的介紹數字幾何處理中常用數值方法求解大型稀疏的線性方程組,幫助初學者實現和掌握一些基本的數字幾何處理方法。That is how euclid did things in alexandria two millennia ago, and his treatise on geometry is the classical model for mathematical exposition
這就是2000多年前歐基里得在亞歷山卓城的研究方式,他的幾何大作是數學著作的經典模? 。In the second part ( including chapter 4 ), this paper applies gray level coocurrence matrix and image texture feature quantities to evaluate eliminate effect through computing the same sampling region selected. the results show that the three methods can eliminate solar eclipse impact on the satellite vis imagery so that the topography, cloud system texture and ocean current are distinct and differentiable and it is good for analyzing the clouds and weather systems on the cloud image. comparing the three methods, the improved geometry - model method is the most effective
研究結果表明:原幾何模型法、改進的幾何模型法和數學函數模型法基本都能消除日食對雲圖的影響,經過訂正處理后,各種特徵紋理變細,結構變清晰,信息增加,有利於雲圖上雲和天氣系統的識別和分析;三種方法的比較認為,改進的幾何模型法訂正效果最好,原幾何模型法的效果較差,數學函數模型法更加快速、簡便,但其涉及的主觀因素較多。Leo kadanoff is a theoretical physicist who has done research on chaos theory, superconductivity, phase transitions, fluid flow, the sociology of urban areas, heat transfer in missiles and elementary particle physics, during the last twenty - five years, he has devoted considerable effort to the development of teaching programs for underaduates based upon the use of small computers
本書作者將電動力學、引力理論和規范場論現代物理學中三種最基本的理論,納入一個共同的體系,內容既包括引力理論物理基礎的介紹,同時也提供了描述愛因斯坦廣義相對論所必須的數學基礎,如彎曲時空的幾何等等。Fractal and fractal geometry provide a more exact mathematical model to describe the external world, which broke though the situation limited to euclid geometry and have drawn much attention from chemists, mathematicians, physicists in various disciplines
分形概念的提出及分形幾何學的創立,為人們描述客觀世界提供了更準確的數學模型,引起了自然科學領域和社會科學領域的普遍關注,並在化學、生物學、天文學等諸多領域中得到了廣泛的應用。In the part of orbit control, the main ideas in study is to define the nonlinear control system on a riemann manifold from the global viewpoint, and to build the intimate relation between the geometrical structure of state space and the state equation of nonlinear control system ; in the part of attitude control, the main ideas in study is to deduce mathematical model with good character based on global differential geometry ideas as well as li group and li algebra, moreover, to design corresponding control schemes
在軌道控制部分,研究的主要思想是從整體化的觀點出發定義一種建立在riemann流形上的非線性控制系統,將狀態空間的幾何結構與控制系統的狀態方程建立直接的聯系。在姿態控制部分,研究的主要思想是以整體微分幾何方法為工具,以李群與李代數等數學理論為基礎,從數學角度建立具有良好性能的數學模型,並設計出相應的控制方法。The key to divine harmonic proportion ( sacred geometry ) is the relationship between progression of growth and proportion
神的調和比例(神的幾何學)關鍵是生長級數和比例間的聯系。Professor chern was awarded the shaw prize in mathematical sciences 2004 for his initiation of the field of global differential geometry and his continued leadership of the field, resulting in beautiful developments that are at the centre of contemporary mathematics, with deep connections to topology, algebra and analysis, in short, to all major branches of mathematics of the last sixty years
二零零四年邵逸夫數學科學獎授予陳省身教授,以表彰他開辟整體微分幾何學的成就。整體微分幾何學的精妙發展占著當代數學的核心,與拓樸學、代數學和分析學,簡而言之,與過去六十年數學的所有主要范疇都有密切關連。For example, the geometric effect and vignetting are simulated with the synthetic method in which they are modeled with ray tracing and then simulated with pixel - based processing. the effects of detector noise on imaging are simulated with the three - dimension model. the theory of pixel transfer function is extended and developed, and microscanned images of four patterns are simulated with good results
本文具有如下幾個突出特點:用光線追跡法分析建模,而用基於象素處理的綜合方法,模擬了光學系統中的幾何效應和漸暈現象;利用三維噪聲模型,模擬了探測器噪聲對圖像質量的影響;對象素傳遞函數理論進行了擴展和延伸,給出四種工作模式的微掃描成像系統的象素傳遞函數的具體數學表達式,並利用這些表達式模擬了探測器的空間效應和微掃描成像的圖像效果。One of the content is using efficiently multimedia computer and maths software in teaching process, and potentiating the geometrical teaching by all appearances, translating the difficulty of knowledge, strengthening the understanding of concepts. another content is how to carry out the maths experiments, how to set up the problem for student. it can develop their habits or ability of studying work
研究的主要內容使如何有效地利用多媒體及數學應用軟體,加強高等數學的幾何直觀教學,化解知識的難點,加強概念的理解;開設數學實驗,創設探索數學問題的情景,培養學生探索數學問題的習慣和能力。Geometry construction method in solving mathematics competition problems
解數學競賽題中的幾何構造方法The paper presents the geometry method of transformation between 2d pattern and garment surface based on the principle of designing developable surface according to requirement. the data of characteristic curve of body model and 2d pattern are measured. 2d pattern is obtained by draping cutting on the body model. in this way, the developable garment surface is designed based on 2d pattern
以服裝立體裁剪所獲得服裝衣片結構線二維數據與人體模型特徵線三維數據為基礎,依據按已知條件構造可展面理論,研究在定長映射下服裝衣片與服裝曲面之間轉換的幾何學方法,進而實現服裝曲面二維向三維的變換。分享友人