first curvature 中文意思是什麼
first curvature
解釋
第一曲率-
In chapter 3, we will estimate the first eigenvalue of laplacian from below on manifolds with a little negative curvature. in chapter 4, we will prove the existence of bounded nontrivial harmonic functions on some classes of complete manifolds which will generalize the results of s. y. cheng ' s
在第三章，我們將給出具有小負曲率的流形上laplace運算元的第一特徵值的下界估計；第四章，我們會給出一類完備非緊流形上非平凡的有界調和函數的存在性，推廣了s . y . cheng的結果。 -
The holomorphic sectional curvature of the first cartan - egg domain
域的全純截曲率 -
First, we studied the role of exogenous ca2 + ion in the hypocotyl phototropism. the curvature of hypocotyls was strongly depended on extracelluar ca2 + concentration. in the medium with low ca2 + ( < 200 nm ), hypocotyl curvature was significantly inhibited
胞外鈣離子對下胚軸向光彎曲影響的實驗結果表明，不同的胞外鈣離子濃度引起下胚軸向光彎曲角度發生變化。 -
First, using strip - partitoning method and programming in matlab language, the numerical caculations of the relation curve between moment and curvature are done for the beams strengthened with non - prestressed and pretressed cfrp sheets, base on the assumption of plane section, non - bonding slip and non - peeled destroy. secondly, nolinear finite elemeant analysis by ansys are done for the beams strengthened with prestressed cfrp sheets base on the three assumptions before mentioned, the analysis are all done for the relation curve between load and displacement, the distribution of material stress, the distribution of cracks. lastly, calculation formula of flexural capacity and deflection are proposed
）的全過程關系曲線。其次基於上面的三個假定，選擇合理的本構關系，利用ansys通用有限元分析程序對預應力碳纖維布加固梁進行非線性有限元分析，分析了加固梁的荷載-撓度關系、材料的應力情況、裂縫的分佈情況等。最後提出了承載力計算公式和正常使用狀態下撓度計算公式。 -
The position and size of the monochromator, focusing curvature radii and tilting angles of the germanium focusing monochromator under different different take - off angle, size and divergency of the second collimator and intensity loss due to the use of it were determined. the neutron flux at different wavelength, under different reflection and take - off angle of the monochromator and divergency of the first collimator, were given. the simulation on the aperture used for limiting beam size in front of the sample showed that, smaller the size of the aperture and further the distance from the aperture to the sample, greater the loss of the intensity and more serious the spread of the beam along vertical direction at the sample position which makes the practical sampling volume greater than expected
用蒙特卡羅模擬方法對中子應力衍射譜儀的設計方案進行了優化研究，提出了一系列可供參考的數據：確定了單色器的位置、尺寸、垂直聚焦單色器在不同起飛角下的聚焦曲率半徑和傾角；討論了第二準直器的尺寸和發散，以及使用第二準直器造成的強度損失；給出了在不同單色器反射面、起飛角、中子波長和第一準直器發散度的情況下樣品處的中子注量率，以及多種組合情況下譜儀的解析度曲線；對限束方孔的尺寸、距離樣品遠近對強度損失和測量中的影響做了深入研究。 -
Foliage is dark green, leaflets of older leaves have convex curvature ; profuse, almost black necrotic speckling between veins ( often appearing first on under surfaces ) coalesces into larger marginal and intervernal areas with occasional slight marginal chlorosis, followed by total scorch and leaf collapse
缺鉀的馬鈴薯葉片:葉片暗綠，老葉的葉片表面彎曲，大量的黑色壞死斑紋出現在邊緣與葉脈連接處和稍微葉邊褪綠的葉脈間，逐漸枯萎壞死。 -
Tooth surface equations and contact line equations of the involute worm gearing are established according to its machining methodology. meshing characteristics in rigidity condition are studied. these characters include the inductive normal curvature along the contact line on the worm surface, the first and the second limit lines during the engage of the worm gear, and the influence of the intersect angle between the contact line the relative velocity of the worm and the gear on transmission performance
根據漸開線圓柱蝸桿傳動的創成方法，建立了漸開線圓柱蝸桿和蝸輪的接觸線方程式、齒面方程式，分析了漸開線圓柱蝸桿傳動的剛性嚙合特性，如蝸桿與蝸輪嚙合時的誘導法曲率、一類界限曲線、二類界限曲線和蝸桿與蝸輪間相對速度方向和接觸線方向的夾角對傳動性能的影響； 2 -
In the first, an academic concept of the slope spectrum was firstly put forward. the slope spectrum is defined as a statistic graph or a mathematical model with its x - axis denoting the numerical value of the slope factors ( e. g. gradient, aspect or curvature etc. ) and its y - axis the corresponding area on the ground in a specific statistic area
首先，本文提出了地面坡譜的理論概念：地面坡譜是指在一個特定的統計區域內，以某項坡面因子（坡度、坡向或曲率等）的大小為自變量，其對應的地面面積為因變量，構成的統計圖表或模型。 -
We could first create a " sock " in the curvature of space, fold gently the space outside the sock in hyperspace, tear holes in the toe of the sock and in the space just below it, and finally " sew " the holes together to form a wormhole
天鵝座x - 1便是最早發現的懷疑黑洞。這物體的伴星是一顆o型星，質量下限是七個太陽質量，並會放射出x射線。一切證據都顯示它極有可能是黑洞。 -
In the procedure, the column is first divided into a finite number of small segments in equal length. the deflection - curvature relation of each segment is determined using the finite - difference method. the final nonlinear algebraic equations are then obtained by means of the equilibrium condition for each segment
運用這種方法，先將長柱離散成若干等長的柱段，利用差分方法求得各柱段截面上的撓度與曲率的關系，再根據各截面上外力與抵抗力的平衡條件，得到一組關于荷載與變形關系的非線性代數方程組；本文對該方程組採用載荷增量法進行迭代求解。 -
It ' s the first time clearly and systematically to present the concepts of restraint influence coefficient of steel to strain increment, to curvature increment and to deflection increment due to creep which are different each other. theoretical formulae are established, and approximate formulae are also obtained while considering the characteristics of common - used concrete and ambient condition of real bridges in china. so, an approximate restraint influence coefficient method to analyze the effect due to creep and shrinkage in pc bridges is put forward, and the equations to estimate second - force due to creep considering influence of steel in system - transferred continuous pc bridges is also established
本文首次清晰而系統地提出了鋼筋對徐變的不同效應（徐變應變、徐變曲率、徐變上拱）約束影響系數的概念，建立了相應的計算式；結合我國普遍採用的混凝土的徐變特性和橋梁的構造特點及工作中南大學博士學位論文摘要環境特徵，給出了具有較高計算精度的實用計算式;在此基礎上，建立了橋梁徐變效應近似分析的鋼筋約束影響系數法，並推導出了考慮鋼筋影響的超靜定梁徐變次內力的近似計算式，可方便地應用於橋梁研究和設計中。 -
First according to the fact that tangential components of the evolution do not affect the geometric shape of the evolving curves, we introduce the evolution equation of geometric quantities for the general planar curves. then we describe the work of gage - hamilton briefly. last we consider a special curvature flow of curve which evolves with speed function of the principal curvatures along the inner norm and show that convexity of the curve is kept and its length and area are contracted if the initial closed curve is smooth and convex. so the final shape of the curve will be a point in finite time
首先根據曲線在切向分量上發展是不影響曲線的發展形狀，我們引入了曲線的一些幾何變量的發展方程；其次我們簡要地回顧gage - hamilton研究曲線發展的一般步驟；最後我們考慮沿曲線的內法線以曲率的函數為發展速度的一類特殊的曲線族，證明了在初始曲線為凸的閉平面簡單曲線條件下，曲線將保持凸的，並且它的面積和周長將同時收縮，並在有限時間內成為一個點。 -
Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature. finally, we will employ the minkowski ' s support function to construct a new kind of non - circular smooth constant breadth curves in order to attack some open problems on the constant width curves ( for example, whether there is a non - circular polynomial curve of constant width, etc. ) in the second part, we will first follow the ideas of gage - hamilton [ 28 ], gage [ 26 ] and the author ' s dissertation [ 47 ] to present a perimeter - preserving closed convex curve flow in the plane, which is from physical phenomena
其次，對雙曲平面上的曲線引入平均測地曲率的概念，並討論雙曲平面上凸曲線的嵌入性與它的平均測地曲率之間的關系，其目的是為了將雙曲平面上曲線的性質與歐氏平面中曲線的性質作一些對比；最後，我們利用minkowski支撐函數構造了一類新的非圓的光滑常寬曲線，其目的是想回答有關常寬曲線的一些未解決問題（如是否存在非圓的多項式常寬曲線 -
At first, the experiment carried out by tianjin university has been analysed according to the " nonlinear balance trying calculation " method, and the values of yield load and ultimate load agree with the test result better, and the curve of bending moment - curvature, bending moment - deflection can agree with the results. the second, the simplified formula for evaluation the ultimate flexural capacity of cfrp strengthened rc members is presented according to the three probable failure modes ( compression failure ; cfrp rupture ; crushing of the concrete in compression before yielding of the reinforcing steel ). it is applicable to both singly and doubly reinforced rectangular sections, as well as flanged sections
首先利用鋼筋混凝土非線性平衡試演算法對天津大學試驗進行了理論分析，所得分析值與試驗結果相比，加固梁的屈服荷載、極限荷載能夠很好地吻合，彎矩曲率關系曲線及彎矩撓度關系曲線較為吻合；其次，為了滿足實際工程的需要，根據碳纖維布加固構件可能發生的三種破壞形態（壓區混凝土壓碎破壞、碳纖維布拉斷破壞以及受拉鋼筋尚未屈服時壓區混凝土已壓碎破壞） ，區別三種鋼筋混凝土構件截面形式（單筋矩形截面、雙筋矩形截面、 t形截面） ，分別給出了碳纖維布加固混凝土構件抗彎承載力的簡化計算公式和適用條件，並進一步探討了這三種截面形式下進行加固設計和復核的步驟。 -
The established theory is helpful for designing multiscale algorithms. in the second part of the paper ( chapter 5 ), a refinement strategy for digital curves is first proposed, and then a new measure for discrete curvature, referred to as l - curvature, is presented
文章第二部分（第五章）針對現有直接角點檢測演算法所存在的問題，提出精化數字曲線技術，並基於精化曲線設計一種離散曲率的計量方法，稱為l -曲率。 -
First, cut open the front end of the socks preferably woolen ones. the socks, with their l - shaped curvature, make excellent covers that are just right for our knees
首先將襪子毛襪尤佳的前端剪開，由於襪子呈l形狀，剛好和膝蓋彎曲時的弧度相吻合，因此套在膝蓋上保暖，顯得非常適合。 -
The sixth chapter discusses the method for space transformation, which considers the curvature of the earth surface. the author first demonstrates that it is necessary to use ellipsoidal model for the system and educes the transform formula
第六章討論了考慮到地球曲率情況下的精確空間對齊問題。這一章中首先論證了應用大地橢球模型的必要性，然後推導出橢球面上的局部坐標間的坐標轉換公式。 -
In chapter 3, the elegant hermite - cosh - gaussian beams as another special case in hermite - sinusodiol - gaussian family is introduced and its propagation properties through a first - order optical abcd system are investigated. an analytical solution of the elegant herimite - cosh - gaussian beam propagating through a first - order abcd system is derived, and correspondingly, the closed - form m2 - factor, the beam width, the curvature radius and the power in bucket are presented analytically. the numerical investigations are carried out and show that the m2 - factor of elegant hermite - cosh - gaussian beam is greater than that of elegant hermite - gaussian beams and less than that of hermite - gaussian beams approximately
本文得到的主要結果可歸納為：首次用強度矩的方法研究了hermite - cosh - gaussia （ hchg ）光束，得到了hchg光束的束寬、曲率半徑、 m ~ 2因子、瑞利距離等的解析表達式；用陡峭度和pib參數去衡量hchg光束的光束質量，找到了hchg光束在傳輸過程中影響光束質量的因素並得到了變化規律；證明了hchg光束在傳輸過程中的重心和對稱性都會得到保持。 -
At first, this thesis analyzes the main causes in theory, which have effects on the redistribution of internal force and modulation of moment for the bonded post - tensioned partially prestressed concrete frame ( for short prestressed frame ), including the relative height of compressive zone of section ( ), secondary moment and types of load applying. then, this thesis analyzes the test of prestressed frame. then, a method, called curvature - force method, for nonlinear analysis of prestressed frame is put forward
本文首先從理論上分析了影響后張有粘結部分預應力混凝土框架（簡稱為預應力框架）內力重分佈和彎矩調幅的主要因素，即相對受壓區高度、次彎矩和加載方式等，並初步分析了兩榀只加豎向荷載和兩榀既加豎向荷載又加水平荷載的單層單跨預應力框架靜力加載的試驗。 -
This paper first analyzes the reason of the aliasing and the common methods for anti aliasing, and then proposes a method for adaptive anti aliasing based on the curvature radius
摘要從圖形走樣產生的機理出發，分析了圖形學中常用的反走樣方法，並在此基礎之上針對曲線的特點提出了一種基於曲率半徑的自適應反走樣方法。
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