order of a polynomial 中文意思是什麼

order of a polynomial 解釋
多項式的階
  • order : n 1 次序，順序；整齊；（社會）秩序，治安；狀況，常態；健康狀態；條理；會場秩序；議事程序，日程；...
  • of : OF ＝Old French 古法語。
  • a : an 用在以母音音素開始的詞前〉 indefinite art 1 〈普通可數名詞第一次提到時，冠以不定冠詞主要表示類...
  • polynomial : adj. 1. 【動、植】多詞學名的。2. 【數學】多項式的。n. 1. 【動、植】多詞學名。 2. 【數學】多項式。
  1. The main idea of this method is to choose a set according to the order of polynomials, to eliminate by making use of bezout eliminant, get zero set from the improved formula about set of zero points, so that a polynomial system of equation ~ set of zero points can be got only by one time arrangement

    該方法的主要思想是：根據多項式秩的大小選取基組，採用貝左結式消元，用改進型零點集結構式確定零點集，從而只需一次整序就可求得一個多項式方程組的零點集。
  2. Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located

    首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式：然後利用疊加原理，選擇合適坐標系，求解了導體球中時諧電流元的修正磁矢量位邊值問題，得到了問題的解析解；最後依據不同坐標系下電磁場解的轉化原理，藉助勒讓德多項式和n次1階球諧函數的加法公式，將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解，給出了球內電場和球外磁場的並矢格林函數。
  3. Presents a new method for fairing of curves which has a small flexibility based on fitting the derivative of second order of curves. we fit the derivative of second order of curves by a polynomial fitting, then find an indefinite integral of this polynomial to get a approach of curves. otherwise, we discuss the analyze of the error and the optimize of fairing to this arithmetic

    提出了一種針對小撓度曲線的逆向曲線光順演算法，該演算法直接擬合曲線型值點列的二階導數曲線，然後通過兩次積分來反求出光順后的曲線，並對該演算法的誤差分析、效果分析、光順優化等問題進行了深入探討。
  4. In order to obtain a high - quality speech codec, the phase information of speech should be included in codec. in this thesis, a method for quantizing the phase of sew ( slowly evolving waveform ) and reconstructing sew ’ s phase with cubic polynomial interpolation is given based on the perceptual weighting analysis - by - synthesis ( a - b - s ) vector quantizer for the phase spectrum in wi coder

    本文基於感覺加權相位譜分析合成（ abs - analysis - by - synthesis ）矢量量化方法，給出了一種wi編碼器中慢漸變波形（ sew - slowlyevolvingwaveform ）的相位信息量化及合成端相位的三次多項式插值重建方法。
  5. In this paper, we first reconstruct a second order polynomial surface to approximate the original point model in the local area of each point, which is then restricted within a so - called - confidence region, producing a - surfel

    摘要在每個點附近重建一個二次多項式函數曲面逼近原點模型，並根據逼近誤差將每個重建曲面限制在稱為置信鄰域的范圍內，從而形成一個面元。
  6. In the terms of interpolation, the image reconstructed from nearest interpolation or linear interpolation has good edge but serious noise ; reconstruction from 4 * 4cubic interpolation or three b - spline or three - order lagrange interpolations has better local character. 2 x 2cubic interpolations which has both better edge and local character is the ideal interpolation, the following is the basic principle during reconstruction : ( 1 ) the more width of interpolation, the more number of summation and the more order of interpolation polynomial, the higher of density resolution ; ( 2 ) the more of interpolation polynomial and width of interpolation, the more of reconstruction time simultaneously, aimed at eliminating the effects of noise contained in projection data, in this paper, author analysis cause and effects of common artifacts. importantly, discusses convolution back - projection reconstruction algorithm with a shift axis of rotation has been derived for correcting images that acquired with a divergence axis of rotation using the fan beam geometry with an angle - equaled detector

    在ct圖像重建時，選擇有限帶寬窗有較好的空間解析度，三角形窗有較好的密度解析度，選擇餘弦窗則使得空間解析度與密度解析度的折衷；從窗函數的頻譜角度來講，可以用於圖像重建的一個良好的卷積窗函數應該具備以下條件： （ ? ）小的3db帶寬b ，即最小的主瓣寬度； （ ? ）最小的旁瓣最大峰值a ； （ ? ）最大的旁瓣峰值衰減速度d ；就內插函數而言，臨近點內插與線性內插重建圖像噪聲大，但有較好的邊緣與細節； 4 4三次內插、三次b -樣條與四次拉格朗日多項式內插圖像平滑，局部特性較好。
  7. A mathematic model of reactor, steam generator, pressurizer is developed based on characteristic of pwr coolant system. for reactor, the point reactor kinetics equation with six - group delayed neutrons is used and influence of coolant ' s and fuel ' s temperature is considered, conduction model of one dimension and single - channel model is used in thermal and hydraulic calculation, third - order hermite polynomial is used to solve the point reactor kinetics equation

    對于反應堆，在物理計算中採用了帶有六組緩發中子的點堆方程，同時考慮了多普勒效應及冷卻劑溫度效應對反應性的影響；在熱工水力計算中採用了一維的熱傳導模型與單通道模型；在求解點堆方程中採用了hermite插值的方法，克服了點堆方程的剛性問題。
  8. The obtained results in the paper are as follows : ( 1 ) the expansion of fourier series of orthogonal trigonometric polynomial for conditional mathematical expectation and function of random variable ; ( 2 ) the best approximation of trigonometric polynomial about another random variable for function of a random variable ; ( 3 ) the best approximation order of trigonometric polynomial for function of random variable

    摘要獲得了如下結果： （ 1 ）條件數學期望及隨機變量函數的三角多項式級數表達； （ 2 ）一個隨機變量關于另一個隨機變量的三角多項式的最佳逼近； （ 3 ）隨機變量函數被隨機變量三角多項式最佳逼近的階。
  9. In multi - pose face recognition based on a single view : ( 1 ) the technology approaches of multi - pose face recognition are firstly studies based on single view or small samples in details. ( 2 ) a new multi - pose face recognition algorithm is developed based on single view. it first generates the multi - pose face images based on a fit method with a high order polynomial function. then, it does face recognition based on the single view and the generated multi - pose images

    在研究基於單視圖的多姿態人臉識別方面，一、詳細研究了基於單視圖或小樣本的多姿態人臉識別的可能技術途徑；二、提出了一種新的基於單視圖的多姿態人臉識別技術，它先基於高次多項式函數擬合方法由單視圖通過變形生成多姿態人臉圖像，后基於該單視圖和生成的多姿態圖像進行多姿態人臉識別，實驗結果表明該演算法識別正確率大大高於經典演算法；三、詳細研究了幾種基於單視圖或小樣本的多姿態人臉圖像生成技術，它們是基於單視圖或小樣本的多姿態人臉識別的關鍵技術。
  10. In order to break through the choke point of the traditional design of a telephoto lens, how to eliminate aberrance by means of hybrid refraction - diffraction was studied from the view of the phase polynomial of diffractive surface and phase transformation polynomial of general lens

    摘要為了突破長焦物鏡傳統設計中的局限性，從衍射面的相位多項式出發，結合一般透鏡的相位變換式，對折衍混合消像差理論進行了探討。
  11. For the fuzzy controller with a fitted modifying factor, a third - order polynomial was used to approximate the former four modifying factors, without the quantization of input and output variables

    在擬合修正因子模糊控制器中，採用一個3階多項式對優化得到的4個修正因子運用最小二乘法進行逼近，且不再對輸入和輸出進行量化處理。
  12. Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature. finally, we will employ the minkowski ' s support function to construct a new kind of non - circular smooth constant breadth curves in order to attack some open problems on the constant width curves ( for example, whether there is a non - circular polynomial curve of constant width, etc. ) in the second part, we will first follow the ideas of gage - hamilton [ 28 ], gage [ 26 ] and the author ' s dissertation [ 47 ] to present a perimeter - preserving closed convex curve flow in the plane, which is from physical phenomena

    其次，對雙曲平面上的曲線引入平均測地曲率的概念，並討論雙曲平面上凸曲線的嵌入性與它的平均測地曲率之間的關系，其目的是為了將雙曲平面上曲線的性質與歐氏平面中曲線的性質作一些對比；最後，我們利用minkowski支撐函數構造了一類新的非圓的光滑常寬曲線，其目的是想回答有關常寬曲線的一些未解決問題（如是否存在非圓的多項式常寬曲線
  13. As further expansion of the cubic a - b - spline interpolation curves, in order to raise the continuity of the curves even, the author has defined the blending functions of corresponding degrees, constructed the adjustable interpolation curves of degree 5 and degree 6 with polynomial blending functions of degree 5 ( 3 - b ) and degree 6 ( 3 - b ) respectively. they are c3 and c4 continuous separately

    作為三次- b樣條插值曲線的進一步擴展，也為了提高插值曲線的連續性，作者定義了相應次數的奇異調配函數，同時利用三b五次、三b六次調配函數分別構造了五次和六次參數可調的插值曲線，它們分別是c ~ 3和c ~ 4連續的。
  14. Feature extraction through 2 - order polynomial fit of the descending part of the response curve made possible a timesaving measurement process. the performances of two pattern recognition algorithms, namely principal component analysis ( pca ) and linear discriminant analysis ( lda ) in practical problems were discussed. artificial neural network ( ann ) was utilized with back - propagation algorithm ( bpa ), and the combination of pca / lda with ann improved the identification performance of the system

    基於對模式識別系統的深入研究，提出了從響應階段數據提取特徵的方法，節省了測試所需時間；比較了主成分分析法（ principalcomponentanalysis ， pca ）與線性判別式法（ lineardiscriminantanalysis ， lda ）兩種模式識別方法在實際應用中的不同結果，分析了原因；設計了採用誤差反傳演算法back - propagationalgorithm ， bpa ）的前向人工神經網路（ artificialneuralnetwork ， ann ） ，並指出其應用中存在的問題，提出了改進建議；利用pca lda與ann相結合的方法改善了系統的識別性能。
  15. Two - order enhanced un - split finite volume euler method for multi - fluid flow, which combines the roe approximate riemann solver, is developed to simulate the multi - fluid interactions, such as the fluid described by polynomial eos, stiffen gas eos, jones - wilkins - lee ( jwl ) gaseous explosive eos, cochran - chan ( cc ) solid explosive eos and hom shock wave eos, etc. numerical results of the id, 2d and 3d multi - fluid interaction examples show that the high - resolution method and interface capturing equations can resolve the multi - fluid flow correctly and successfully. a simple fluid - mixture type ppm algorithm for multi - fluid flow, which is based on vof interface capturing method and resolved by langange / remap two steps, is developed to simulate the high density or high pressure ratio flow at both sides of the interface

    本文提出了實用於多介質流體的增強型二階精度有限體積歐拉數值計算方法，採用roe方法近似求解riemann問題，可以適用於多項式狀態方程、 「 stiffengas 」狀態方程、 jones - wilkins - lee爆轟產物狀態方程、 cochran - chan固體炸藥狀態方程以及hom狀態方程等，並對多介質流體相互作用的一維、二維、三維問題進行數值計算，數值驗證了本文給出的高精度差分格式和界面捕捉方法的正確性，兩種方法耦合形成的多介質流體數值計算方法是成功的。
  16. In the computational methods of tpbvp, in order to reduce some difficulties involved in solving a tpbvp via adjoint variables, we discuss a direct method in which state and control variables are indirectly parameterized, the method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and control variables, thus converting the optimal control problem into a nonlinear programming problem, which can be solved numerically. it makes the initial iterative variable more easy to be determined

    在數值解法中，為了減少解決兩點邊值問題共軛變量帶來的困難，主要討論了將狀態變量和控制變量進行參數化的一種直接方法，這種方法採用了近段發展起來的使用分段的多項式來代替狀態和控制變量的直接優化方法，然後最優控制問題就轉化成可以用數值方法解決的非線性規劃問題，使得迭代初值更加容易選取。
  17. B. buchberger introduced the concepts of term orders in the set of all power products and presented an algorithm for finding a special generators, a reduced grobner basis which is unique for a given term order, of a given ideal of a polynomial ring over a field from any generators of the ideal by means of s - polynomials

    Buchberger在域上的多項式環的單項式的集合中引入項序，並利用s -多項式，給出了一種演算法，使得對多項式環中的任意給定的理想，從它的一組生成元，可計算得到一組被稱為簡化gr （
  18. Some theoretical extensions are first made in this paper, with the following concepts, theorems and models presented - partial derivative and high - order partial derivative of waveform polynomial for describing the relation between input transitions and output transitions and redefining circuit sensitization ; the concept of waveform polynomial vector for describing a circuit with multiple inputs and outputs, especially for the unified description of circuit modules ; a sensitization theorem for sequential circuits for the purpose of exact timing ; theorems for transition numbers in circuits used to solve problems on noise, power consumption and etc ; waveform polynomial description for sequential circuits used to give a unified form for the function and timing behavior of a sequtial circuit ; and a data structure of generalized list for the representation and manipulation of waveform polynomial

    波形多項式偏導和高階偏導的新概念，用來精確描述輸出跳變與輸入跳變之間的關系，並在本文中用來重新定義了電路的敏化和冒險；波形多項式向量的概念，用於形式化描述實際中的多輸入多輸出的電路，特別是用於統一描述電路模塊的功能及定時行為；時序電路的敏化定理，用於時序電路精確定時分析；波形多項式描述跳變及跳變數的定理，用於噪聲、功耗等問題的描述；時序電路的完整波形多項式描述，用於時序電路功能和定時行為的統一描述；波形多項式的多項式符號表示和運算的模型以及數據結構，用來實現對波形多項式比較有效的描述和運算。
  19. ( 3 ) compare the complexity and precision of the polynomial method and orthogonal polynomials method used in geometrical adjustment, an experiment is made ; some surface fitting method used in spatial co - registration of multiresolution image are studied and experiments are made to show their different in effects ; in order to increase the spectral inherit, we make a histogram match in images to be fused

    比較了圖像幾何校正的多項式方法和正交多項式方法在復雜度與精度上的差異，進行了模擬實驗；研究了不同插值技術在圖像配準中的應用，對不同插值方法的效果進行了比較，給出了示意圖；為消除圖像灰度級不匹配對融合結果的影響，對待融合圖像的灰度直方圖進行了匹配處理。
  20. A curved beam element is proposed for the elastic and elasto - plastic large - displacement analysis of thin - walled curved beams based on the new developed nonlinear theory. using polynomial displacement functions, the proposed element includes the second order effect associated with geometric and material nonlinearities

    基於新的曲梁非線性理論，提出了一種以多項式作為位移模式，可以同時考慮幾何和材料非線性的薄壁曲梁單元，用於曲梁的彈性和彈塑性問題分析，並編制了相應的有限元程序。
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