圓坐標 的英文怎麼說

On the uniform equation of conic section in descartes coordinate system

直角坐標系下圓錐曲線的統一方程及變化動態初探

The relation of radius of curvature and error as well as formulas of increasing parameters on condition of constant error are diverted. the equation of the line on the center of approximate circular arc is obtained ， and it can avoids the trouble that numerical solution owns possibility of no convergence and simplifies node calculation of non - circular curve

導出了曲率半徑與逼近誤差之間的關系和等誤差條件下的參數遞推公式，建立了通過逼近圓弧圓心的直線方程和圓心坐標計算公式.按這種方法用圓弧逼近平面參數曲線，不需要求解非線性方程組，避免了計算可能不收斂的麻煩，簡化了非圓曲線的節點計算過程

Secondly, the various conic arcs and conies are generated by the rational triangular bezier and the b - spline method in polar coordinates system

其次，給出圓錐曲線弧及其補弧的三角有理b zier表示；以及任意角度二次曲線弧的極坐標b樣條表示。

First, based on phased array antenna ' s mono - pulse goniometry and separate coordinate technology about phase control, the antenna beam pointing error formula, caused by phase quantization error, is derived from linear array and circular array to planar array and cylindrical array

首先以單脈沖相控陣天線測角原理為基本理論出發點，利用相位控制的坐標分離技術，基於線陣、圓形陣等簡單形式的相控陣天線，推導了平面陣、圓柱面陣等相控陣天線由相位量化誤差引起的波束指向誤差公式。

Mobilizable coordinates in the use of the system detection ordinary small dimension measurement precision to repeat : measuring length 、 measuring round coordinate system for the 0. 3 m, measuring angle coordinate system for the 2

本系統在使用可移動坐標法檢測普通微小尺寸測量重復精度達到:測長度、測圓坐標系為0 . 3 m ，測角度坐標系為2 。

Proposed a new mobilizable coordinates measuring programme designed measuring length, measuring round and measuring angle coordinates three different measurement coordinate system for the measurement coordinate system applies a set of images, and given the three coordinates of the transformation function

提出一種新的採用可移動坐標檢測方案，設計了測長度、測圓和測角度坐標3種不同的測量坐標系，對各測量坐標系所適用的圖像特徵進行了闡述，並給出了3種坐標系的變換函數。

Production and processing equipment : bearing production equipment, the ball processing equipment, bearing cleaning equipment, packaging equipment bearings, needle roller processing equipment, light jewelry processing equipment, spherical roller processing equipment, rough processing equipment, double - end grinders, spindle, wheel oilstone and other grinding materials, heat production, high - precision coordinates grinder, and outside grinder, seal marking machine, profilometry, contour dynamic analysis, hardness needle - sorting machine, a round instrument, processing tester, processing meter, dynamic vibration and noise analysis, vibration, noise testing device raceway ultra - precision instrument, roughness measuring instrument, the finish detector, sorting machine, converters and bearing products preservatives, lubricants, cleaning agents, such as processing raw materials

生產及加工設備：軸承生產設備球加工設備軸承清洗設備軸承包裝設備滾針加工設備光飾加工設備球面滾子加工設備毛坯加工設備雙端面磨床電主軸砂輪油石和其他研磨材料熱處理生產高精度坐標磨床內外圓磨床印子打標機輪廓測量儀輪廓動態分析儀硬度針分選機圓度儀加工測試儀加工測量儀振動噪聲動態分析儀震動噪聲測試裝置滾道超精儀粗糙度測量儀光潔度檢測儀分選機變頻器及軸承產品防腐劑潤滑劑清洗劑加工原材料等。

The conventional sphere model of earth and circle model of orbit are discarded, and the ellipsoid model and the ellipse model are selected for further research, which achieves a method to determine the target position through the antenna pointing direction. and the spaceborne sar system design and simulation software is brought forth. this software accomplishes sar system coefficients design for antenna area, pulse repetition frequency, signal bandwidth, downlink data rate, radar transmitter power and satellite platform yaw steering

本文從星載雷達的星地幾何關系入手，舍棄傳統星載合成孔徑雷達研究中的球地球模型和圓軌道模型，研究了在地球橢球模型和橢圓軌道模型下由雷達天線確定目標坐標的方法，並在此基礎上研製了星載合成孔徑雷達系統設計與模擬軟體，完成雷達系統天線尺寸、脈沖重復頻率、信號帶寬、雷達信號數據率、雷達發射功率、衛星平臺的偏航牽引等幾個方面的系統參數設計以及雷達多普勒特性、雷達系統模糊、雷達定位及精度的分析，最後完成雷達回波信號的模擬。

In the first part of the paper, the explicit form of difference equation and periodic boundary condition is derived in cartesian coordinate system. secondly, the dispersive characteristic is analyzed in cylinder coordinate system for many high power microwave devices use cylinder sws. and then the method is extended to calculate the band structure of 2 - d photonic crystal, a modified yee ’ s grid is introduced to calculate the dispersive characteristic in the case of triangular lattice, so that both square lattice and triangular lattice cases can be solved in cartesian coordinate system

周期電磁結構的一個重要應用就是用作高功率微波器件中的慢波系統，考慮到目前大部分高功率微波器件的慢波系統多採用圓柱周期結構，在論文第四章中，在圓柱坐標系下，給出了差分方程和周期性邊界條件的具體形式，同時編寫程序，分析了milosws ，盤荷慢波結構的色散特性。

Abstract : it is observed that the sommerfeld ' s formula for a progressive spherical wave is not covariant with respectro the rotation of the coordinate system. it contains complex partial waves that are not physical. the standing wave representation of the same formula is shown to be covariant and physical. it is applied to solve the boundary value problem of fiber optics. the radiation modes as well as the guided normal modes are obtained in closed forms. the intensity distribution in various modes is obtained. it is remarked that the mode of critical refraction is missing

文摘:說明了球面行波的索末菲公式在坐標轉動下不協變.證明了球面波的駐波表示是協變的，因而是一個物理的關系式，故適用於圓柱坐標中各類波動方程的定解問題.作為一個例，應用於光纖光學，導出了受導簡正模和輻射模的表達式，以及各模式的強度分佈

The properties of the key optical and electrical devices and the controlling mode in the system are put forwards. using the polar coordinate lines with different directions and the circulars with the same axis can be written together. by using he - cd laser ( 442nm ) as writing light source, the system can directly write line with width 05 # m on a sample

本文的主要目的是建立了一種極坐標和直角坐標相結合的激光直寫系統的原理樣機，探討系統的各部分器件的基本性能要求，為今後研製高精度激光直寫系統做好工作基礎，分析了激光直寫系統中關鍵器件的性能要求，基本控制方式，實現了極坐標方式下，任意旋轉角度直線圖形與共心圓環的光刻。

It has designed a special method for finding circular center image coordinates and a subpixel digital image process method, so that the precision of simulation for searching image point of circular center can reach to 0. 01 pixel in grade of amount. it has designed amending method for errors, produced by improper installation position of the testing device

在圖像處理方面，本文設計了標志特徵圓圓心位置的特殊方法和亞像素數字圖像處理方法，使得特徵圓圓心像點的模擬定位精度可達0 . 01個像素的數量級;提出了一整套圍繞特徵直徑像的特性來尋找其端點坐標的方法。

Rolling bearings - tapered roller bearings of tolerance class 2 for spindles of jig boring machines - specifications

滾動軸承.坐標鏜床主軸2級.圓錐滾子軸承技術條件

It supposed that the circle of sliding surface run through the foot of slide. the factor of safety is transmitted to the function of x coordinate of the intersection point of the tangent at the scrap of the circle and x axis. so, the two - dimension area of searching is changed to one - dimension

該方法先固定潛在滑動圓弧的上、下邊界點，利用滑弧后緣處的切線與x坐標軸交點的位置確定了滑弧的曲率，將二維搜索麵域簡化為一維搜索線域，搜索的上、下限有嚴格的界定，不存在漏點問題。

On circular curved line coordinate and its layout method

解析圓曲線坐標及其放樣方法

Use is made of the elliptic coordinates for the ease of treating ellipse shaped boundary, while the analytical results for the components in the cartesian coordinates are provided for convenience of application

分析引入橢圓坐標，以助於處理問題的邊界條件，並最終給出直角坐標下各分量的對應結果，以便於實際應用。

Based on the review, the fluid flow and heat transfer in the curved circular and rectangular pipes have been researched by employing perturbation method and numerical simulation with a physical model under the rotational orthogonal curvilinear coordinate in a rotating curvilinear pipe with multi - parameters. we firstly analyzed the fully developed fluid flow and heat transfer, mixed convection heat transfer, the development of flow and heat transfer in the inlet in different cross section ( circular, elliptical, annular and rectangular crossection ). the variations of the secondary flow, axial velocity, distribution of temperature, the friction force on the wall, the ratio of friction factor as well as the nusselt number with different dimensionless parameters had been examined in detailed

本文在總結和分析了一個世紀以來有關曲線管道流動和換熱特性的研究成果的基礎上，以旋轉正交曲線坐標系統下的多參數旋轉螺旋管道中的對流傳熱為物理模型，通過攝動方法和有限體積法，首次對各種截面（圓截面、橢圓截面、環形截面、矩形截面）旋轉曲線管道內充分發展流動的流動結構和傳熱特性（包括耦合對流傳熱特性）以及旋轉曲線管道開口段發展流動的流動結構和換熱特性進行了系統的數值模擬和理論分析，詳細討論了各種無量綱參數對管道內軸向速度分佈、二次流結構、溫度分佈、壁面摩擦力、摩擦系數比以及管道nusselt數的影響，獲得了若干創新性成果。

A circle is just a big point : in addition to the center coordinates it needs a radius

圓本身就是一個很大的點：除了一個中心點坐標，其還需要一個半徑來表示。

Bearings roller bearings and other components. bearing ring precision rolling production line ; a high - precision, super efficient grinding automatic production line ; bearing assembly line ; signal processing equipment ; blank processing equipment ; crowning roller grinder ; end - grinder ; coordinate precision grinder ;, cylindrical grinder ; surface grinder ; spherical roller processing equipment ; raceway grinder ; heat treatment ; needle processing equipment ; polishing processing equipment ; roller - seiki ; rolling auto - sorting machine parts bearing hardness sorting machine bearing cleaning equipment ; contact angle measuring instrument ; contour meter ; bearing life experimental device ; bearing packaging equipment ; roundness instrument ; dynamic vibration noise analyzer ; noise vibration test equipment ; printing machine measuring instrument ; roughness tester ; scanning electron microscope ; finish detector ; inverter ; spindle, wheel, whetstone and other grinding materials

軸承套圈精密輾擴生產線高精高效磨超自動生產線軸承自動裝配線球加工設備毛坯加工設備凸度滾子磨床雙端面磨床高精度坐標磨床內外圓磨床平面磨床球面滾子加工設備溝道磨床熱處理生產滾針加工設備光飾加工設備滾道超精機滾動體自動分選機軸承零件硬度選別機軸承清洗設備角接觸測量儀輪廓測量儀軸承壽命實驗裝置軸承包裝設備圓度儀振動噪音動態分析儀振動噪音測試裝置印字機加工測量儀粗糙度測試儀掃描電子顯微鏡光潔度檢測儀變頻器電主軸砂輪油石和其他研磨材料

A general stack equation of mobile robot based on analyzing the motion of planar motion object and the mathematical models of four different kinds of common wheels is developed, accordingly, the mobility of mobile robot is addressed and the forward and inverse solutions to speed for specific configuration driven by differential speed are derived. utilizing the muir and newman convention, the description of the posture transformation matrices between different coordinate frames and the solution for the speed of point located on these frames are introduced. according to posture estimation, a more accurate method, dead reckoning algorithm, is developed for a specified configuration characterized by differential speed motorization, and simulations of this algorithm and other traditional methods are carried out using matlab while traversing a circular path

本文對兩輪差速驅動移動機器人的運動學及其本體緩沖設計進行了探討，在對平面運動物體運動分析的基礎上結合四種常用車輪的數學模型，推導出了一個通用的移動機器人堆積方程，在此基礎上分析了移動機器人的移動能力、並針對兩輪差速構型推導了速度正解與逆解；使用muir和newman的運動學建模方法，推導了移動機器人上點及連桿坐標系位姿、速度變換關系矩陣及求解方法；在移動機器人位姿識別方法中結合差速驅動構型對航位推演算法進行了分析：推導了一種理論精度較高的航位推算演算法，並使用matlab對其與傳統的推算演算法在跟蹤圓弧軌跡情況下進行了模擬；最後針對本文所研究的機器人給出了一種比較系統、可靠的緩沖結構設計思路，較好地解決了移動機器人作業過程中外界因素及本身設計中引入的各種不確定誤差問題；本論文研究成果已在本實驗室所開發的樣機上得到實現，經過應用與考核證明其中的分析與設計是切實可行的。