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hyperbola

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hyperbola n.(pl. hyperbolas, hyperbola...

n. (pl. hyperbolas, hyperbolae )【數學】雙曲線。 “confocal hyperbola“ 中文翻譯：   共焦點雙曲線; 共焦雙曲線“conjugate hyperbola“ 中文翻譯：   共軛徑; 共軛雙曲線“cubic hyperbola“ 中文翻譯：   立方雙曲線, 立方雙曲撓線“cubical hyperbola“ 中文翻譯：   三次雙曲撓線; 三次雙曲線“diffraction hyperbola“ 中文翻譯：   繞射雙曲線“eccentricity of a hyperbola“ 中文翻譯：   雙曲線的離心率“equiangular hyperbola“ 中文翻譯：   等角雙曲線“equilateral hyperbola“ 中文翻譯：   直角變曲線，等軸雙曲線。 “geodesic hyperbola“ 中文翻譯：   測地雙曲線“hyperbel hyperbola“ 中文翻譯：   雙曲線“hyperbola logarithm“ 中文翻譯：   雙曲線對數“hyperbola of fit“ 中文翻譯：   擬合雙曲線“orthogonal hyperbola“ 中文翻譯：   正交雙曲線“power hyperbola“ 中文翻譯：   功率雙曲線“rectangular hyperbola“ 中文翻譯：   等軸雙曲線; 等軸只曲線; 直方雙曲線; 直角雙曲線“right hyperbola“ 中文翻譯：   正雙曲線“spheric hyperbola“ 中文翻譯：   球面雙曲線“spherical hyperbola“ 中文翻譯：   球面比曲線; 球面雙曲線“squaring a hyperbola“ 中文翻譯：   推算雙曲線的面積“temperature hyperbola“ 中文翻譯：   溫度拋物線; 溫度雙曲線“hour angle hyperbola“ 中文翻譯：   時角方位圖“hyperbola of higher order“ 中文翻譯：   高階雙曲線“near-parabolic hyperbola“ 中文翻譯：   近似拋物線的雙曲線“omega hyperbola family“ 中文翻譯：   奧米伽雙曲線族“hyperblastosis“ 中文翻譯：   組織增殖過度“hyperbilirubinemia of prematurity“ 中文翻譯：   早產高膽紅素血癥

hyperbole

Hyperbola model of mgo - mixed concrete ' s autogeny deformation , especially deduce of the model ' s parameter and building process of the model are analyzed in detail . ( 2 ) calculating method of autogeny deformation and creep are discussed . based on these , timely - simulation theory of dam body ' s temperature field stress field and pre - process back - process method are mainly studied ( 2 )對mgo混凝土的自生體積變形及徐變變形的計算方法進行了探討，在此基礎上，重點研究了壩體溫度場和應力場實時仿真的原理以及前后處理方法。

Based on the simple understanding of normal seismic processing , this paper has carried out deep research on the problems of deep prospecting in seismic data processing , such as s / n ( signal to noise ratio ) , velocity analysis and residual nmo of unsymmetrical hyperbola , stacking and imaging of complex rays and migration arc . until now tens of accomplishments have been achieved 在簡單了解地震資料常規處理的基礎上，本文針對當前深層資料的問題，緊緊圍繞著深層地震數據處理技術研究需要解決的重點問題，即信噪比問題、非對稱雙曲線的速度分析與剩余動校正時差問題、復雜射線的迭加及偏移成像問題和偏移畫弧問題等，進行了深入的研究工作，目前已完成十多個成果。

Based on actual data , emphasizing particularly on the course of consolidation and deformation of preloading method combing vacuum with stack - load , the paper illustrates the mechanism of deformation of pre loading method combing vacuum with stack - load from consolidation and final effect , and calculates final settlement by delamination summation - method and hyperbola method , presenting relative parameters used for designing and execution control 摘要以實際監測資料為依據，對真空聯合堆載預壓法的固結過程和變形過程進行了分析，從固結和最終效果這兩個基本問題上闡述了真空聯合堆載預壓法的變形機理，采用分層總和法和雙曲線法推算最終沉降量，并給出了相關的設計和施工控制參數。

Time difference of arrival ( tdoa ) location system , namely the hyperbola location , is an important passive location method . using the time difference of signals arrived to three or more different stations , we can determine the position of the target wanted to be located . because of its high precision and fast location advantages , it is widely used in practice . but its precision depends on time delay estimation , so researching fast and exact time delay estimation method become a hot topic in tdoa location system 無源時差定位又稱為雙曲線定位,是一種重要的無源定位方法,它通過處理三個或更多個接收站采集到的信號到達時間數據,從而對輻射源進行定位。時差定位系統具有精度高、定位快等優點,在工程中得到了廣泛的應用。但是時差定位系統的精度主要取決于時延估計的精度,因此,研究快速、準確的時延估計方法成為時差定位系統中一個十分重要的課題。

Based on total stress index of property of statics and dynamics of dam body and dam base materials which obtained from test , utilizing duncan - chang hyperbola model and equipollence linearity model to analysis static state and dynamic stress state affected by earthquake of hada mountain dam body and dam base 根據試驗得到的壩體和壩基材料的靜動力學性質的總應力指標，計算中采用duncan ? chang雙曲線模型和等效線性模型，分析了哈達山壩體和壩基的靜應力狀態以及它們在地震作用下的動應力狀態。

The main contents are as follows : 1 . the experimental data of autogenous volume deformation of concrete with mgo admixture ( mgo concrete for short ) was comprehensively analyzed , then the exponent model and hyperbola model for autogenous volume deformation of mgo concrete were discussed . at the same time , the autogenous volume deformation model of concrete that has 4 . 5 % mgo content was developed 主要研究內容如下： 1 、對外摻mgo混凝土的自生體積變形試驗資料進行綜合分析研究，在此基礎上，探討了外摻mgo混凝土自生體積變形的指數模型和雙曲線模型，并建立了外摻mgo摻量為4 . 5混凝土自生體積變形模型。

Finally , this paper detailedly introduces the application of preloading method combining with vacuum stack - load in the practice of a freeway project . three sorts of experience calculation method of final settlement which based on the settlement data measured in - site are contrastively analysed , and points out the hyperbola method be recommended for settlement predicted because it accord with the actual instance of guangdong pearl river delta area , and bring up the range of settlement correcting coefficient corresponds to the characteristic of the region 最后，本文結合某高速公路工程實踐，詳細介紹了真空聯合堆載法在高速公路上的應用，并利用實測沉降曲線對三種預估最終沉降量的經驗方法進行了對比分析，提出了雙曲線法計算最終沉降量較符合廣東珠三角地區，并提出較符合地區特點的沉降修正系數取值范圍，可供類似工程參考。

Artificial nerve network forecasted yso in clay p - y curves is researched and 8 physical parameters are studied by using the principal component analysis method when the fracture load was not reached for a trial pile under lateral load , the ultimate load of the pile might be predicted to the field - surveyed load settlement data of existing trial pile and by h - s curve extension method and hyperbola method 在對粘性土p - y曲線計算參數y _ ( 50 )的研究中，對粘性土常規8個物理性質指標進行主成分分析，研究用人工神經網絡分析預測粘土p - y曲線中的y _ ( 50 ) 。建立了神經網絡計算模型，可用來計算預測粘性土p - y曲線中的y _ ( 50 ) 。

According to these accomplishments , several techniques are expounded emphatically in this paper , including 3d refraction statics , coherent noise suppression by prestack wave field separating ( prestack fx noise attenuation ) , 3d prestack multiple domain random noise attenuation , multiples attenuation , nmo of unsymmetrical hyperbola , dynamic replacement of wave equation , surface - inconsistent residual static , super bin stacking , poststack depth migration and prestack depth migration . all the techniques have been applied in seismic processing of 2d , 3d and wide - line profiling and obtained good results 本文根據項目組研究成果，重點閘述了三維折射波靜校正技術，疊前波場分離相干噪音壓制方法(疊前fx去噪) ，疊前三維多域隨機噪音衰減技術，多次波衰減技術，非對稱雙曲線動校正技術，波動方程動態替換技術，非地表一致性的剩余時差靜校正技術，超面元迭加處理技術，疊后深度偏移處理，疊前深度偏移處理等。

( 3 ) fem basic theory of foundation pit excavation stimulation is expounded , numerical model and method of construction simulation are determinated , which includes simplification of two - dimension problem and constitutive model of soil mass i . e . constitutive model of duncan - chang hyperbola model , numerical ways of initial situ stress , stimulation of equal nodal load of foundation pit excavation , nonlinear solutions of basic equations , fem disposing of inner supporting and pre - axial force etc . further fem code of stimulation of foundation pit excavation is compiled 闡述了基坑開挖模擬的有限元基本理論，確定計算模型及施工模擬方法。包括二維問題的簡化、土體的本構模型，即鄧肯-張雙曲線本構模型、初始地應力場的計算方法、基坑開挖等效結點荷載模擬、基本方程的非線性解法、內支撐及預加軸力的有限元處理等，并編制了模擬基坑開挖的有限元程序。

The thesis mostly work is mathematical analysis , give some basic information of the research object - hada mountain embankment dam , determinate the research task and the analyses condition . utilizing pseudo - static method theory , calculated the safety factor for the dam slope , give a primary conclusion . utilizing static finite element method based on duncan - chang hyperbola model , found the static stress field , make the foundation for dynamical finite element analyses 采用等效線性模型，用計算土石壩地震反應的動力有限元程序，對哈達山土壩進行了動力有限元分析，得到了壩體的動應力場分布、加速度場分布，為動力有限元法計算壩體穩定打下基礎。

Base on the experimental data some damping models such as conic model , inverse hyperbola model , exponent model , inverse exponent model , dislocation - induced damping model are put forward , and the results between numerical calculations base on above models and experiments are studied contrastively 給出了二次曲線模型、反雙曲線模型、指數模型、反指數模型、位錯阻尼模型等阻尼模型并將按這些模型進行數值計算所得結果和實驗結果進行了對比研究。

In this paper we have investigated the soliton theory and chaotic theory . we have also investigated the hyperbola function method , which is based on the soliton theory , to solve the nonlinear evolution equations 本文對非線性物理中的孤立子理論和混沌理論作了初步的探討，而對基于孤子理論而產生的求解非線性發展方程的雙曲函數法作了較深入的研究。

The methods which convergence order is greater than 2 are named as high - order methods . the improved method of tangent hyperbolas ( imth method ) is a popular method among the high - - order methods 在科學計算及其應用領域中， improvedmethodoftangenthyperbolas方法(簡稱為imth方法)是常用的三階最優化算法。

Using his data from 1830 - 1995 with statistics , the hyperbola and its asymptotes , he estimated 47 new ( species ) of sea monsters are still undiscovered 帕克斯頓利用統計學、雙曲線以及它的漸近線，分析他收集的1830年與1995年之間的數據，估計還有47種新海洋怪獸有待我們去發現。

( 3 ) we successfully derived some exact solitary wave solutions of the nonlinear approximate equations with long waves in shallow water by using the hyperbola function method ( 3 )用雙曲函數法，成功得到了非線性淺水長波近似方程組的精確孤立波解。

We have introduced the hyperbola function method as well , and generalized the method to solve some nonlinear evolution equations 作為預備性的研究，首先對雙曲函數法應用于求解非線性方程作了介紹，然后在該法思想基礎上對其作了一定的推廣。

Similarly , they not only can represent straight lines precisely , but also can represent quadric curve precisely , such as hyperbola and so on 該曲線與tc - b zier曲線的性質完全類似，此外它既能精確表示直線段又能精確表示雙曲線。

On the basis of analyzing hyperbola and exponent models in common use , the power function model of shear deformation is presented for rock joints 在分析了巖體節理剪切變形常用雙曲線模型和指數模型的基礎上，提出了一種冪函數模型。