曲率向量 的英文怎麼說
中文拼音 [qūlǜxiàngliáng]
曲率向量
英文
curvature vector-
Chapter 3 erected the relationship between refraction error and cornel ablation depth in theory. the paper proposed various mathematical models which can be used for proceed the simple myopia, simple hypermetropia, compund myopia astigmatism, compund hypermetropia astigmatism, simple myopia astigmatism, simple hypermetropia astigmatism, mixed astigmatism. the influence of the astigmatic axis and the degree of astigmatism on the correction field is discussed. wavefront aberration guided excimer laser cornea ablation is a main method of customised corneal ablation
以數學的方法研究出了屈光性單純近視、屈光性單純遠視、復性近視散光、復性遠視散光、單純近視散光、單純遠視散光、混合性散光屈光矯正的物理模型;並揭示了不同軸位的轉換規律,對不同散光情況下的初始角膜兩個不同方向的曲率半徑和手術后最終的曲率半徑作了定量的研究。The equation for the quasi - continuous atom laser beam wave - function is given by schrodinger equation, the beam width, divergence curvature radius and quality factor were introduced to represent the atom laser beam whose transverse potential could be separated. for the conservative quality factor system in some direction, we can ge t the propagator of abcd formulation
本文在含時量子系統傳播子的abcd形式理論的基礎上,引入某一方向的束寬、發散角、曲率半徑和品質因子等光束傳輸參數來表徵橫向勢能滿足x和y分量相互獨立的原子激光的傳輸。The contacting measurement method with a double probe is put forward after the detailed analysis of the state - of - the - art measuring methods of the thickness of wall. firstly, the theory - profile generatrix is built, and then the movement curve of the track of joint center is constructed, which aims at making the joint center move along the movement curve and keep the fixed sensor touching the wall. the measuring sensor examines the line in its normal direction of the interior wall all the time, the data from the sensor is the thickness value of the wall
論文通過分析國內外變曲率回轉體壁厚測量的現狀,提出了雙測頭接觸式測量方案:通過構造理論輪廓母線,建立鉸鏈中心的運動曲線,使鉸鏈中心始終沿運動曲線運動,以保證固定觸頭與傳感器測頭的連線始終在內壁法線方向上,從而傳感器測頭所得的數值即為壁厚值,該方案經模擬測試實驗取得了預期效果。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。In the paper, based on the method of low pair replacing with high pair, the problem of cam design was transferred to that of linkage design. by means of rotary unit vectors, the equations of displacement, velocity and acceleration of the replacement mechanisms were developed. and then, the virtual linkage ' s length and direction were deduced
論文基於高副低代原理,將平面凸輪機構設計與再現函數的平面連桿機構設計統一為同一種方法,運用圓向量函數建立代換機構的位移、速度、加速度矢量方程式,求取虛擬連桿桿長和方向,由此展開凸輪理論廓線、實際廓線、曲率半徑和壓力角的求解,並得出用圓形刀具加工凸輪時刀具中心的軌跡方程。In general, the upward amplitude curve " curvature is larger, and it changes quicker. on the contrary, the downward is smaller and slower ; because the flare force contains the square of the wave elevation velocity, it results in an difference between the flare force frequence and the associated moving frequence ; the flare force decreases the downward amplitude of heaving oscillations ; the speed of ship has an ignorant effect on the peak values of three calculated values, but there is an obvious effect on the oscillating frequence ; the wave amplitude has an effect on the ship motion, and there is an linear relation between the oscillating amplitude and the wave amplitude on the whole. by the way, there are some experiences and lessons according to the progress calculation : before the calculation of the ship motion, we should checkout the balance in a calm water firstly, namely, the whole displace of ship and the longitudinal position of the center of gravity must be consistent with the draft in calm water, or else, the calculation may show the " floating " phenomenon ; the mixed language programming has a lot of virtues, but it exists a fatal limitation - the debug of dll
研究表明:在某些頻率范圍內相關水動力系數基本不隨吃水變化,只有超過某一頻率后水動力系數的值才會出現差異;在橫搖方向,水動力系數並沒有隨著吃水的變化發生規則變化,而是出現了波動現象;近船首剖面的水動力系數計算表明,水動力系數的波動非常大,並遠遠偏離了平均位置的水動力系數值,值的變化速率也不盡相同,總的看來,上振幅曲線曲率較大,變化較快,下振幅曲線曲率較小,變化較慢;外飄力和波面運動的速度的平方項有關,導致其振動頻率和相應運動方向的頻率不同;外飄力使升沉向下運動的幅值減小;船速對三個計算量的峰值影響甚微,但對振動頻率有明顯影響;波幅對船舶運動的影響是明顯的,船舶運動的幅值基本上和波幅成線性關系。Under this flow, the convex initial curve will preserve its perimeter, enlarge the enclosed area and make its curvature to be positive definitely. and as the time lasts, it will become more and more circular, and finally, as the time goes to infinity, the curve will converge to a circle in the hausdorff metric
本文證明在這種新的曲線流之下,閉凸曲線周長保持不變、所圍區域的面積不斷增大而曲率保持恆正(從而保持凸性) ,並且,隨著時間的推移曲線變得越來越圓,最終當時間t趨向于無窮大時,曲線在hausdorff度量意義下收斂到一個圓周。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。As a result, ( i ) let k ( x ) be the function assign to each point x of m the infinimum of the sectional curvatures of m at that ponit, if k ( x ) satisfies, then m is totally umbilical. ( ii ) let q ( x ) be the function assign to each point x of m the infinimum of the ricci curvatures of m at that ponit, if q ( x ) satisfies q > 1 / 4 ( n - 2 ) ( c + 4h2 ) - 1 / 4nc, then m is totally umbilical, ( iii ) let a be the square length of the second fundermental form, if satisfies, then m is totally umbilical
) )中具有非零平行法平均曲率向量的緊致全實偽臍子流形m ~ n ,得到了( ? )如果m ~ n在其點x的截面曲率的下確界函數k ( x )滿足條件:則m ~ n是全臍的( ? )如果m ~ n在其點x的ricci曲率的下確界函數q ( x )滿足條件:則m ~ n是全臍的。 ( ? )如果m在m中的第二基本形式h長度的平方滿足條件:則m ~ n是全臍的。This paper contains three chapters. we discuss the pinching problems on the length of the second fundamental form of compact space - like submanifolds mn with unit parallel mean curvature vector in the de sitter space spn + p. in particular, a sufficient condition for mn with constant scalar curvature to be totally umbilical is given
討論desitter空間s _ p ~ ( n + p )中具有平行的單位平均曲率向量的緊致類空子流形m ~ n的第二基本形式長度拼擠問題,給出了具有常數量曲率的這種子流形是全臍球面的一個充分條件。Submanifolds with parallel mean curvature vector in local symmetric spaces
局部對稱空間中具有平行平均曲率向量的子流形On submanifolds with parallel mean curvature in a riemannian manifold of quasi constant curvature
擬常曲率黎曼流形中具有平行平均曲率向量的子流形On the submanifolds with parallel mean curvature in a eiemannian manifold of quasi constant curvature
擬常曲率黎曼流形中具有平行平均曲率向量的子流形In the third second, we study a closed oriented submanifold with parallel mean curvature vector field in a sphere. let s = s - nh2. we fist obtain a pinching theorem on 5
第三節中研究了歐氏球面中具有常平均曲率向量子流形,獲得兩個結果,其中一個結果推廣了hSome pinching theorems about totally real pseudo - umbilical submanifolds with parallel mean curvature vector becoming totally real and totally umbilical submanifolds are obtained by choosing a suitable frame ? eld
通過選取合適的活動標架,獲得具有平行平均曲率向量的全實偽臍子流形成為全實全臍子流形的若干pinching定理In the second part, we investigate the compact submanifolds m with the parallel isoperimetric section in the real space forms rm ( c ) and prove that if there exists a parallel isoperimetric section on m, and the sectional curvature of m is always greater than zero, then m is contained in a hyper - sphere ; and get that the gauss curvature of the compact surfaces m with constant mean curvature in constant curvature space r4 ( c ) is always greater than zero, then m is a totally geodesic surface or a sphere, where an isoperimetric on m means a unit normal vector field defined globally on m with m1 ( ) = constant
( 2 )研究了實空間形式r ~ m ( c )中具有平行等參截面的緊致子流形m ,證明了具有一平行等參截面的子流形m ,如果m的截面曲率恆正,則m包含在r ~ m ( c )的一個超球面內;對于常曲率空間及r ~ 4 ( c )中具有常平均曲率的緊致曲面m ,如果m的高斯曲率處處大於零,則m或為r ~ m ( c )中的全測地曲面或為一球面。這里m上的等參截面是m上整體定義的單位法向量場,使得m關於它的平均曲率m _ 1 ( )是常數。Based on structural dynamics, different damage diagnosis index, such as modal frequency variety, modal assurance criterion, co - ordinate modal assurance criterion, modal strain energy, remains force vector, modal strain, rigidity change, flexibility matrix, modal curvature and so on, are studied in this thesis
基於結構動力學理論,本文論述多種損傷識別指標的基本原理和計算方法,主要包括:固有頻率變化率、模態置信因子、改進的模態置信因子、模態應變能、殘餘力向量、應變模態、剛度變化、柔度矩陣、曲率模態等。To calculate the actual curvature of the surface at a given point, the two vectors must be multiplied by each other
去計算在一個表面上給定點的實際曲率,兩個向量必須互相乘。In this article, we mainly discuss the relation between isotropic berwald curvatures of projectively related finsler metrics and properties of finsler metrics with isotropic s - curvature
本文主要討論了射影相關下迷向berwald曲率間的關系和在具有迷向s -曲率的條件下finsler度量的某些性質。Using the similarity between plane elasticity and plate bending, this paper successfully fulfils the identification of rolling vector and establishes a general method, the curvature lumping method, to represent the rolling vector by the use of simple displacements vector
利用平面彈性和板彎曲的相似性,本文實現了角卷向量的辨識並得到了用簡單位移向量表示角卷向量的一般方法?曲率堆集法,打通了與有限元通用程序的介面。分享友人