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collinear

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collinear adj.【數學】共線的。

adj. 【數學】共線的。 “collinear array“ 中文翻譯：   直排天線陣; 縱列排列“collinear collision“ 中文翻譯：   共線碰撞“collinear diagram“ 中文翻譯：   列線圖“collinear drainage“ 中文翻譯：   共線型水系“collinear force“ 中文翻譯：   共線力“collinear forces“ 中文翻譯：   共線力“collinear heterodyning“ 中文翻譯：   共線外差“collinear holography“ 中文翻譯：   共線全息術“collinear noise“ 中文翻譯：   共線噪聲“collinear of parameter“ 中文翻譯：   參數共線“collinear phasematching“ 中文翻譯：   共線相位匹配“collinear plane“ 中文翻譯：   共線面“collinear planes“ 中文翻譯：   共線面“collinear point“ 中文翻譯：   共線點“collinear points“ 中文翻譯：   共線點“collinear ray“ 中文翻譯：   共線光線“collinear solution“ 中文翻譯：   共線解“collinear transformation“ 中文翻譯：   共線變換“collinear vectors“ 中文翻譯：   共線向量“non-collinear“ 中文翻譯：   不共線“collinear acoustooptic interaction“ 中文翻譯：   共線聲光相互作用“collinear acoustooptic tunable filter“ 中文翻譯：   共線聲光可調濾波器“collinear array antenna“ 中文翻譯：   直排天線陣“collinear image formation“ 中文翻譯：   共線成像; 共線成象“colline monneron“ 中文翻譯：   莫奈龍山“colline metallifere“ 中文翻譯：   梅塔利費雷山

The present thesis investigates the scattering problems of sh - waves by interface circular lining as well as interface cracks originating diametrically at the lining edge or the collinear cracks originating diametrically lining , the green “ function method is used here 本文在線彈性力學范疇，采用green函數方法研究界面圓環形襯砌、界面含裂紋圓環形襯砌、界面含裂紋襯砌及其側邊徑向裂紋對sh波的散射問題。

collins

Then , the default ratios of 45 st - companies are computed and 37 potential financial index are selected referred by researches on financial distress at home and abroad . finally , the equation of default ratio is produced by stepwise regression , and three of the basic problems in linear regression are considered well , that is case - wise diagnostics and auto - correlated errors , as well as collinear relationship and teteroskedastisity 隨后，利用該期權定價理論違約率模型計算出45家st公司的違約率，結合國內外有關財務預警研究成果，收集37個相關財務指標，運用逐步回歸法，通過剔除異常值、處理自相關、診斷共線性、檢驗異方差，建立有效回歸方程。

Barrier cracks cannot stop the extending of a fracture , and the strength of the sample is reduced by almost one magnitude because of the existing barrier cracks . there are great differences of ae distribution between specimens with non - penetrate crack and specimens with penetrate crack . as for penetrate crack , ae occurs near the two end of the crack , and for non - penetrate crack , crack , ae occurs near the two end of the crack , and for non - penetrate crack , ae occurs near the front edge of crack , which can be explained well by the theory of 3 - d fracture ; ae distribution near the outer part of collinear crack is similar with that of the end of penetrate crack , and inner part of collinear cracks will run - through with high loads 關于預制裂紋系對巖石破裂的影響，集中討論了：空障礙體構造不能阻止主裂紋的擴展，反而會使巖石的破裂強度降低近一個量級；由于構造的不同，非穿透切口樣品和穿透切口樣品的聲發射空間分布特點有本質區別，穿透切口樣品的微破裂在切口兩端發育，而非穿透切口樣品的微破裂在切口兩端之間切口前緣處發育，這用三維破裂理論可以很好地解釋；含共線構造的巖石，裂紋外端的聲發射分布與單裂紋構造中裂紋端部的聲發射分布相似，裂紋內端聲發射有密集分布，在應力達到一定水平時，內端部發生錯斷，而不是貫通。

With the development of automobile industry and road transportation ， the traffic accidents happen every day in the world and become a serious society problem the vehicle collision accidents are over 2 / 3 times as much as all traffic accidents they cause a large amount of social infuence and serious economic loss therefore ， it is urgent to study vehicle collision accidents comprehensively and systematically ， and the research also is the academic foundation to analyze and deal with traffic accident it is difficult to authenticate car velocity after traffic accident to dig over locate witness is right way mechanics is avaid tool in this field it is important to establish math model and this is precondition to calculate vehicle velocity firstly on the basis of summarizing the research results ， this paper deeply discusses the calculating model to analyze the instantaneous motion state in the vehicle collision , the interrelation among the every moving mechanics parameters in the every phase of the collision secondly ， according to the collinear collision and two - dimension collision and the restitution coefficient ， the paper estabishesthe post collision movement models it proves that these models are correct and valid thirdly ， this paper try to research reconstruction of road traffic accident and put forward the method on it 對交通事故的科學分析應是建立在正確的數學模型與計算機模擬技術基礎上的定量分析，其基本條件就是要有能正確描述事故過程中汽車狀態的數學模型，只有建立正確的數學模型，才能較準確地推定事故車輛的碰撞速度。所以建立正確地車輛碰撞模型和運動模型正是汽車事故再現的關鍵問題。本文首先在總結前人研究的基礎上，深入地研究汽車碰撞理論，分析了車對車碰撞作用瞬間狀態的計算模型及碰撞恢復系數與碰撞前、后速度的關系；其次，根據交通事故中最普遍的一維和二維碰撞的不同情況，采用恢復系數和滑動摩擦系數等概念，分別建立了碰撞后車輛動力學模型；第三，對汽車碰撞事故再現進行了初步研究，確定了車對車碰撞事故模擬計算和反推計算方法，并給出相應的模擬程序流程圖。

Compared with to traditional aotf applied in oadm , we advanced a novel collinear iaotf . then we analyzed the novel device using collinear acoustic - optic interaction modeling in pe : linbo3 waveguide . the numerical results show that this device is better than traditional aotf , and we acquired some optimized device parameters 然后利用質子交換鈮酸鋰波導中的共線聲光互作用模型對這種器件進行了理論分析和數值計算,證明其性能優于傳統的aotf器件,并得到器件的波導深度

Using the conic function model local approximation , w . cdavidon ( 1980 ) proposed a class of iterative algorithms with modified matrix combining function value , furthermore under the theory d . c . sorensen has used local quadratic approximation method , then applying collinear scaling idea improving on the above algorithm and generalizing it , getting a class of collinear scaling algorithm , unifying former quasi - newton . in the paper , using local quadratic approximation method , the first , constructing the new collinear scaling gene , getting a class of the new collinear scaling algorithm with briefness and numerical stability , . , we discusses some properties of the algorithm and its local linear convergence , q - superlinear convergence and the whole convergence ; secondly we have made numerical experimentation and numerical analysis ; the last , we have done much discussion for collinear scaling idea and given the several new collinear scaling algorithm 本文的工作就是基于局部二次逼近原理，首先通過構造新的共線調比因子，得到了一類新的更簡潔，數值穩定性更好的共線調比算法，進而我們給出了本共線調比算法的局部收斂性，全局收斂性以及算法q -超線性速度的理論證明；其次，用經典的無約束優化五大考核函數就本共線調比算法進行了數值試驗和數值分析；最后，就局部二次逼近思想，進行共線調比算法思想進行更廣泛的討論，給出了幾個新共線調比算法。

This thesis obtains a good local scheme which could overcome the defects arose by using simple collinear continuous condition and preserve fine geometric properties of adjacent patches . using biquartic b - spline surfaces with double interior knots guarantees the patches are internally parametrically c2 . this could fulfill the basic requirement in engineer fields 采用內部具有二重結點的雙四次b樣條曲面做為擬合工具保證了單片曲面內部是二階參數連續的，并且適當降低了曲面片的次數，基本上能夠滿足工程的需要。

Acoustooptic deflector is the significant component of the optical devices such as integrated optical spectrograph , tunable filter , scanner , convolver , correlator and optical switch etc . acoustooptic deflector can be divided into collinear and non - collinear , bulky and wave - guided , body devices and surface devices 聲光偏轉器是集成光學頻譜儀、可調諧濾波器、掃描儀、卷積器等光學器件的重要組件、聲光偏轉器可分為共線式和非共線式、塊體型和波導型以及體波器件和表面波器件。

Based on these foundations , we give a perfect scheme of the bbo opos : single pass amplification coefficient of the opg under different pump intensity is calculated ; collinear type - i and type - ii phase matching tuning curve pumped by the q switch nd : yag various harmonics as well as noncollinear type - i tuning curve are calculated in details ; the effect of the walkoff for the nonlinear effect coefficient and the group velocity matching are analyzed ; the acceptance angle in parametric process is calculated ; the numerical threshold of the bbo opo is calculated ; the process of the saturation and depletion of the pump beam are analyzed ; the relationship of the conversion efficiency and reflectance of output mirror are discussed ; various linewidth controlling methods are discussed ; the improvement of the beam quality applying the unstable cavity is discussed ; and the crystal bbo design is considered 在此基礎上，給出了一整套bbo - opo激光參數設計方案：計算了不同泵浦強度下的參量放大倍數；詳細計算了在nd : yag調q激光器各次諧波泵浦條件下的共線類和類相位匹配的調諧曲線，以及非共線類相位匹配調諧曲線；分析了走離角對非線性系數和群速匹配的影響；計算了參量過程的允許角；計算了bbo - opo的理論閾值條件；分析了飽和與泵浦光束的消耗過程；給出了轉換效率與超過泵浦閾值的倍數的關系；討論了轉換效率與輸出鏡反射率的關系；討論了線寬控制的各種方法；研究了利用非穩腔改善光束質量的方法；考慮了bbo晶體的設計。

A collinear acoustooptic - deflector of pronton - exchanged linbo3 channel wave - guide is studied . the theoretical analysis , structure design and device fabrication of linbo3 pronton - exchanged acoustooptic wave - guided deflector have been finished in this thesis . the width of wave - guide , the width , spacing , effective aperture and width of electrode of interdigital transduces have been theoretically analyzed and designed 本論文研究了一種質子交換linbo3溝道波導共線式聲光偏轉器,其特點是利用了溝道波導的橫向約束,限制了聲波的發散和衍射效應,使得窄孔徑電極結構得以實現,從而增加了功率密度,使總的聲場驅動功率降低。

The scattering problems of sh - waves are studied in this paper by an interface arbitrary - shape - cavity as well as collinear cracks or interface cracks originating diametrically at the cavity edge in the field of linearly elastic dynamic mechanics . the methods of complex function and green ' s function are used here 本文在線彈性力學范疇內，采用復變函數和green函數方法研究了平面sh波在界面任意形孔洞、孔邊徑向裂紋和孔邊徑向界面裂紋上的散射問題。

On the stage of describing the shape of airplane and extracting feature , we derive five - coplanar - point invariant from the basic projective invariant - cross ratio , and resolve the problem of stabilization of five - coplanar - point when there is three points are nearly collinear 在對飛機外型提取特征進行描述的階段，首先從基本的射影不變量交比不變量出發，推導出了平面五點不量，并解決了當有三點接近共線時不變量不穩定的問題。

The present thesis investigates the scattering problems of sh - waves by interface circular lining as well as interface cracks originating diametrically at the lining edge or the collinear cracks originating diametrically lining , the green “ function method is used here 本文在線彈性力學范疇，采用green函數方法研究界面圓環形襯砌、界面含裂紋圓環形襯砌、界面含裂紋襯砌及其側邊徑向裂紋對sh波的散射問題。

Scattering of sh - wave by collinear cracks of any limited length originating diametrecally at the boundary of circular lining which has cracks in homogeneous medium is investigated , and solution of dynamic stress intensity factors in mode at crack tip are obtained 按“契合”方式并采用裂紋切割技術構造含徑向裂紋圓環形襯砌對sh波散射的模型，利用green函數將問題歸結為求解第一類fredholm積分方程組。

Moreover , this thesis offers the mothod of generate smooth nurbs surfaces over arbitrary quadragulation . this mothod overcomes the defects of adopting so called simple collinear continuous condition to deal with the problem of geometric continuity 并針對任意拓撲的四邊形剖分，給出了構造光滑nurbs曲面的方法，克服了采用所謂的簡單共線法處理幾何光滑連接的缺陷。

For any integer k 1 let g ( k ) be the smallest integer such that every set of points in the plane with no three collinear and at least g ( k ) interior points has a subset whose convex hull contains exactly k interior points 對任何整數k 1 ，設g ( k )為滿足以下條件的最小正整數：至少含有g ( k )個內點且無三點共線的平面點集必存在恰含有k個內點的子集。

The effect of pump beam ' s walk - off and the group - velocity - mismatch in bbo crystal is discussed , the group - velocity - mismatch can be compensated by non - collinear phase - match when the angle between signal and idler beams equals to 14 . 4 當下轉換光與抽運光夾角達到13 . 4度時，非共線相位匹配基本可以消除晶體中群速失配對下轉換過程的影響。

Scattering of sh - wave by a radial collinear crack at the edge of arbitrary - shape - cavity in isotropy media is studied . the solution of dsif at crack tips is obtained 研究了各向同性介質中任意形孔邊徑向裂紋對sh波的散射，求解了裂紋尖端的動應力強度因子。

Pappus theorem : if the vertices of a hexagon lie alternately on two lines , then the three intersections of the pairs of opposite sides are collinear 帕卜定理：在兩條直線上各取三點，并作適當的連線，則三對直線的交點會在同一直線上。