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polar coordinate是什麼意思,polar coordinate的意思翻譯、用法、同義詞、例句

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常用詞典

  • 極坐标;極座标;極坐标系統

  • 例句

  • Third, argument-polar radius curve of polar coordinate system whose pole is geometric gravity is formed, and maximum and minimum value points are searched.

    然後以重心為極點,對邊緣點極坐标化,形成幅角-極徑曲線,在該曲線上尋找局部極大極小值點。

  • The scattering of SH wave and the dynamic stress concentration by a moving rigid cylinder in an elastic half space are stu***d with complex functions and multi-polar coordinate method.

    應用複變函數、多極坐标方法研究彈性半空間中界面附近可移動剛性圓柱形夾雜對SH波散射與動應力集中問題。

  • The conversion formula between the polar angle and the generating angle and calculating steps during measuring the gear involute error by the polar coordinate measuring method are presented.

    給出了極坐标法測量齒形誤差時極角與展角的轉換公式和計算步驟,并對以極角和展角表示的齒形誤差曲線進行了對比。

  • In order to realize CT fast reconstruction on an ordinary PC, a fast reconstruction process using look-up table and polar coordinate back-projection was presented.

    為了在普通PC機上實現計算機斷層掃描(CT)快速重建,提出了利用查找表和極坐标反投影快速重建方法。

  • Using the concepts of radial velocity and transversal velocity in polar coordinate system, a problem of pursuant trajectory in kinematics is solved.

    利用極坐标系中徑向速度與橫向速度的概念求解運動學中的一個追線問題。

  • In this paper, the way of calculation closed points polar coordinate of Cochlea crust with Lagrange's interpolation is discussed, and the error is analyzed with Newton interpolation method.

    讨論了在水電站工程建設中計算蝸殼加密點時,建立極坐标系,利用拉格朗日插值法進行加密計算的方法。并用牛頓插值法對其進行誤差估計分析。

  • Author presents stress component's expression under polar coordinate while a single force is applied to horizontal rock formation by means of Airy's stress function.

    通過極坐标系下的艾裡應力函數法,求解出在集中力作用下水平岩層中各應力分量。

  • This guy, you have two different ways of getting its polar coordinate equation.

    有兩種辦法,可以得出極坐标系下的方程。

  • In this paper, the error in conversion of measurements under the polar coordinate system to ones under the Cartesian system is analyzed and an unbiased conversion formula is given.

    主要針對情報處理中極坐标數據轉換成直角坐标數據之間的誤差分析,給出了無偏轉換公式。

  • In this paper, the polar coordinate error equations on side, direction and height in the circular control worknet are derived ****** good use of the circular character of circular worknet.

    針對環形控制網的網形特點,推導了各類觀測量:測邊、測方向和測高的極坐标誤差方程式。

  • Using polar coordinate system to set out, the coordinate computing formula and the error of its approximate formula are discussed of any point in line.

    本文用極坐标法放樣,讨論了線路曲線中任一點坐标計算公式及其近似公式的誤差大小。 收藏。

  • A method of surveying a complete curve in polar coordinate system by only changing instrument position and back viewing point are introduced in this paper.

    本文提出了一種僅變換置鏡點和後視點坐标而達到置鏡任一點極坐标法測設整條曲線的方法。

  • In the adjustment program of triangulation net by directional condition observation, to apply the formulas of polar coordinate condition is a new way.

    本文介紹了三角網按方向條件觀測平差的電算程式中,應用極坐标條件式的新方法。

  • This paper proposes a subblock-based image retrieval method under the polar coordinate system for retrieving trademark image.

    針對現有的四叉樹分塊方法的不足,提出了一種極坐标下的分塊檢索方法。

  • Through polar coordinate method error calculus demonstrated that the setting-out point error is mainly caused by angle measurement error.

    通過對極坐标法誤差的計算論證了放樣點誤差主要是由測角誤差引起。

  • The model is continued by imposing a polar coordinate system on the moving reference frame .

    通過把極坐标系作為該運動參照系而繼續對模式進行積分。

  • This paper is directed to an advanced method for route survey-polar coordinate method of traverse, and try to establish a corresponding graph and data processing system.

    針對導線極坐标法測設路線曲線的方法,提出一套完整的内業圖形與數據處理系統的建立方法和步驟。

  • In this paper the scattering of SH-wave by multiple semi-cylindrical canyons are stu***d by using complex function and multi-polar coordinate method .

    本文利用複變函數和多極坐标方法研究平面SH波對相鄰多個半圓形凹陷地形的散射問題。

  • An uniform sampling image can be transformed to a space variant sampling image by log-polar coordinate mapping which reduces the searching space and redundant pixels.

    通過采用對數極坐标映射,可将空間均勻取樣得到的圖像變換成非均勻取樣的圖像,從而減小冗餘像素,壓縮了搜索空間。

  • The mesh equations of gears are given by tangent polar coordinate system.

    本文給出了切線極坐标下的齒輪齧合方程式。

  • The CORDIC algorithm is adapted to convert the polar coordinate image to the rectangular coordinate image, while cubic spline interpolation is used to interpolate the vacant pixels.

    本文采用數字坐标旋轉(CORDIC)算法将極坐标圖像轉化為直角坐标圖像,并采用三次樣條插值的方法對漏點進行彌補。

  • A set of formulas for analyzing high order modes of coaxial lines with arbitrary section in polar coordinate by the method of lines are rigorously derived in this paper.

    本文應用直線法理論嚴格推導了在極坐标系統中分析任意截面形狀同軸線高次模的公式。

  • The estimation of the angle becomes much easier as the introduction of the polar coordinate.

    由于極坐标的引入,使得角度的估計大大的簡化。

  • Second, we combine this mobile robot with laser rangefinder. The method consists of two modules: curvature estimation in polar coordinate system and topological map built in advanced.

    接著,自走車在搭配雷射測距儀的情況下,計算極座标上一維資料的曲率以及查詢已建置好的拓樸地圖。

  • The issue of polar coordinate-orthogonal coordinate conversion, which is a key factor of the system, may be encountered inevitably as simulating traditional PPI radar indicator on raster scan display.

    在光栅掃描顯示器上模拟傳統PPI雷達顯示器,不可避免地會遇到直角坐标與極坐标轉換的問題,而雷達回波信號從極坐标到直角坐标的變換是決定系統性能的關鍵。

  • A double-polar coordinate system is established.

    建立一個雙極坐标系。

  • 專業解析

    極坐标系(Polar Coordinate)是一種二維平面内的坐标系統,用于描述點的位置。與常見的直角坐标系(Cartesian Coordinate)不同,極坐标系通過距離原點的長度(半徑)和與參考方向(通常為x軸正方向)的夾角來确定點的位置。這種坐标系廣泛應用于數學、物理學、工程學以及導航等領域。

    核心要素

    1. 半徑(r):表示點與原點(極點)之間的直線距離,取值範圍通常為非負數(( r geq 0 ))。
    2. 極角(θ):表示點與參考方向(極軸)之間的夾角,常用弧度或角度表示。例如,直角坐标系中點的極角θ可通過反正切函數計算:

      $$ θ = arctanleft(frac{y}{x}right) $$

    應用領域

    與直角坐标的轉換

    極坐标((r, θ))可通過以下公式轉換為直角坐标((x, y)):

    $$ x = r cosθ, quad y = r sinθ

    $$

    反向轉換公式為:

    $$ r = sqrt{x + y}, quad θ = arctanleft(frac{y}{x}right) $$

    曆史背景

    極坐标系的概念最早由瑞士數學家雅各布·伯努利(Jacob Bernoulli)在17世紀提出,後經萊昂哈德·歐拉(Leonhard Euler)等人完善,成為現代科學研究的基石之一。

    網絡擴展資料

    Polar Coordinate(極坐标)是數學中用于描述平面上點位置的坐标系,與直角坐标系(笛卡爾坐标系)不同,它通過距離原點(極點)的長度和與極軸(通常為x軸正方向)的夾角來确定點的位置。其基本形式為 ((r, theta)),其中:

    1. (r)(極徑):點到原點的直線距離,非負實數((r geq 0))。
    2. (theta)(極角):從極軸逆時針旋轉到該點的角度,通常以弧度或角度表示。

    核心特點

    應用場景

    示例

    極坐标點 ((3, frac{pi}{4})) 表示距離原點3個單位、與極軸夾角45度的位置,對應直角坐标約為 ((2.12, 2.12))。

    優勢與局限

    若需進一步了解公式推導或具體應用案例,可參考數學教材或工程學相關文獻。

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