高次多項式 的英文怎麼說

中文拼音 [gāocìduōxiàngshì]
高次多項式 英文
high-order polynomial
  • 高 : Ⅰ形容詞1 （從下向上距離大; 離地面遠） tall; high 2 （在一般標準或平均程度之上; 等級在上的） above...
  • 次 : Ⅰ名詞1 （次序; 等第） order; sequence 2 [書面語] （出外遠行時停留的處所） stopping place on a jou...
  • 項 : Ⅰ名詞1 （頸的後部） nape （of the neck） 2 （款項） sum （of money） 3 [數學] （不用加、減號連接...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  1. They not only inherit the advantages of bezier curves and b - spline curves, also can be used to represent straight lines precisely and some remarkable transcendental curves precisely, such as circular arc, ellipse, cardioids and twisted pair line etc. especially, the uniform t - b - spline curve of three degrees is smoother than b - spline curve and c - b - spline curve of the same order

    此外由於它們還具有三角函數的優點，故既可以精確表示直線段、二次多項式曲線段又可以精確表示圓弧、橢圓弧等二次曲線以及心臟線、雙紐線等超越曲線。特別地， 3次均勻t - b樣條曲線曲面比同階均勻b樣條（ c - b樣條）曲線曲面具有更高的光滑度。
  2. This paper discussed the application of theories about advanced algebra in the factorization of multinomial, introduced some application methods, acquired the methods of judging if a multiple quadratic multinomial can be factorized and how it is factorized, and thus solved the theoretical problem of the factorization of a multiple quadratic multinomial

    摘要討論了高等代數理論在多元多項式分解中的應用，給出了若干應用方法，得到了多元二次多項式可分解的判別法和分解方法，徹底解決了多元二次多項式分解的理論問題。
  3. Too high a degree polynomial produces lower residuals, but at the expense of smoothness in the derivative.

    一個很高次數的多項式會產生較低的殘差，但卻要破壞導數的光滑性。
  4. For the dynamics of polynomials with higher degree, for example, the quar - tic polynomials, the branner - hubbard - yoccoz puzzle theory should be extended

    對于更高次多項式，譬如四次多項式，可能有多個臨界點需要考慮，此時必須推廣branner - hubbard - yoccoz理論。
  5. Distribution of limit cycles for a class of higher - degree degenerate planar polynomial systems of codimension two

    一類余維2的高次退化平面多項式系統的極限環分佈
  6. Distribution of limit cycles for a class of higher - degree degenerate planar polynomial systems of codimension two is discussed

    摘要討論了一類余維2的高次退化平面多項式系統的極限環分佈，證明了此系統至多存在3個極限環。
  7. By companion matrix of polynomial gave one necessary and sufficient conditions of two polynomial having common roots, according to the above gives one method to solute dual higher order equation

    摘要利用多項式的伴侶陣給出兩多項式有公共根的一個充要條件，並據此給出解二元高次方程的一種方法。
  8. Firstly, we generalize and analyze the advantages and present research of elliptic curve cryptography ; secondly, we study the basic theory of the ecc ; thirdly, we illustrate the safety of the ecc and discuss the elliptic curve key agreement scheme, elliptic curve encryption scheme and elliptic curve digital signature algorithm ; fourthly, we study fast algorithms of the multiplication and inversion multiplication of the element of in the underlying finite field f2m whose characteristic is two represented by the two basis of optimal normal basis and polynomial basis. we make improvements to the fast algorithm of the polynomial basis multiplication by hankerson and base on the experiments, we describe the properties and compare the advantages of the multiplication and inversion multiplication of the elements in f2m field under optimal normal bases and polynomial basis. results concluding from the study car be used as references in the realization of the elliptic curve cryptosystem ; fifthly, we overview the current fast algorithm of point multiplication, improve the fix base point comb algorithm, advance the speed of the whole system and remark the advantages and disadvantages of the popular algorithms based upon the experimental datas ; sixthly we realize the algorithm library of elliptic curve cryptography based on the f2m. only change slightly in our algorithm library can we realize the ecdh, eces, ecdsa based onf2m of anysize ; seventhly, we realize the ecc on two secure elliptic curves, including ecdh, eces, ecdsa

    本文首先介紹並分析了橢圓曲線密碼體制的優點及研究現狀；其次研究了橢圓曲線密碼體制的基本理論；第三，分析了橢圓曲線密碼的安全性並介紹了密鑰共享，加密，數字簽名等橢圓曲線密碼體制；第四，深入研究了特徵為2的有限域f _ 2m中的元素在多項式基和最優正規基表示下的乘法運算和乘法逆運算的快速演算法，並對hankerson等人提出的多項式基下的乘法運算的快速演算法作了改進，而且在實驗的基礎上不僅分析研究了f _ 2m域中元素在多項式基和最優正規基表示下的乘法和乘法逆運算的性能，還對這兩種基表示下的f _ 2m域中元素運算效率的優劣作了比較和研究，所得的結論可供在實現橢圓曲線密碼體制時參考；第五，研究了目前流行的計算橢圓曲線標量乘法的快速演算法，同時改進了固定基點梳形法，提高了整個系統的速度，並在實驗的基礎上分析研究了流行演算法的優劣；第六，實現了基於f _ 2m的橢圓曲線密碼體制的演算法庫，在我們的演算法庫中只需稍微改變便能實現基於任意尺寸的f _ 2m上的ecdh ， eces ， ecdsa等橢圓曲線密碼體制；第七，實現了兩條安全橢圓曲線上的橢圓曲線密碼體制，包括ecdh ， eces ， ecdsa 。
  9. The increase - order of solutions of higher order homogeneous linear differential equations with polynomial coefficients

    多項式系數高階齊次線性微分方程解的增長級
  10. Chapter two study iteration of a serial of polynomial, discussed the sufficient and necessary conditions and denseness of the julia set, the relative random dynamical system is constructed by some high degree polynomial. in addition, it discuss the mandelbrot set of a kind of polynomial

    本文的第二章主要研究多個函數的特定迭代序列，討論了高次多項式的隨機復動力系統的julia集的連通的充分必要條件以及稠密性問題，同時還討論了一類多項式函數的mandelbrot集。
  11. As the cam profile with constant - velocity - constant - acceleration ramp feature and with continuous higher derivative lift feature is widely adopted in the advanced high - speed internal combustion engines, the cam ramp profile is fitted with a reasonable function and the cam - lift profile is fitted with a polynomial function

    考慮到高速內燃機的凸輪大多採用具有等加速-等速特徵的緩沖段和高階導數連續特徵的工作段型式，用等加速-等速函數擬合緩沖段實測升程數據，用整體式高次多項式函數擬合工作段實測升程數據。
  12. Because these factors make change more often, soil time space variability is more bigger. the relationship of single factor between soil water infiltration capacities and certain influencing factor could be established quantitatively by means of soil water infiltration tests in indoor, there is negative correlation relation between soil water infiltration capacities and soil structure. there is negative correlation relation in high grit content and low physical clay content soil, and second - degree polynomial relation in high physical clay content junk structural soil between soil water infiltration capacities and soil moisture

    由於這些因素在時刻發生變化，使得土壤的時空變異性較大，只能用室內土壤水分入滲試驗來定量確定土壤水分入滲能力與某些影響因素之間的單因子相關關系，土壤水分入滲能力與土壤結構之間呈負相關關系，土壤水分入滲能力與土壤含水量之間在土壤砂粒含量高，物理性粘粒含量低的無結構土壤中呈負相關關系，在物理性粘粒含量高的團粒結構土壤中呈二次多項式關系。
  13. The global semi - stability of two kinds of the polynomial system

    兩類高次多項式系統的全局半穩定性
  14. 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。
  15. A variable is sampled in a certain increment, and introduced into the equations. there are two sets of any two equations to be solved. the real solutions of the two sets are protracted in spatial coordinate system to obtain two curves, so that the intersection points of the two curves can be found as the solution of the original equations

    針對所得三元高次多項式方程組，採用數學分析軟體mathematica編製程序，以一定的步長增量，在一定范圍內取一個變量的值，並將其代入方程組中，求解其中一個方程分別與另外兩個方程聯立的方程組的解，將得到的實數解繪製成兩條空間曲線，其交點即為原三元方程組的解。
  16. A set of nonlinear equations of precise synthesis are established for special case according to co - planarity and equal distance conditions. by resultant elimination, 3 polynomial equations containing 3 variables are obtained. all of the groups of real solution within a certain value range are generated with computer graphic method

    針對實現兩個函數，每個函數四個精確點的rssr機構，通過結式消元法消元，得到三元高次多項式方程組，並採用計算機圖解法，在一定值范圍內解出了方程組的全部實數解。
  17. Firstly, the first eight singular point quantities are computed and conditions for infinity to be a center are deduced as well, then a system that bifurcates eight limit cycles in the neighborhood of infinity are constructed

    首先通過同胚變換將系統無窮遠點轉化成原點，然後求出該原點的前8奇點量，從而導出無窮遠點成為中心和最高階細焦點的條件，在此基礎上給出了五次多項式系統在無窮遠點分支出8個極限環的實例。
  18. In the analysis process, the six main peaks in 88 - 100 kev region, including the y peaks of 234th, the k peaks of th and the k peaks of u, are chosen. the smoothly joined gaussian function and low energy exponential tail is taken as peak shape function and quadratic polynomial is taken as background function. the two functions are fitted to gether to calculate the peak area

    在分析過程中，選擇了88 - 100kev能區的~ （ 234 ） th的射線峰， th的k _射線峰以及u的k _射線峰共六個主要能峰，通過採用高斯函數和低能指數尾部光滑聯接的峰形函數和二次多項式本底函數一起擬合，來求出峰面積；而該能區所有能峰的探測效率可以認為是近似相等的，由此得到鈾富集度。
  19. In this dissertation, we study the global topological classification and coefficient conditions of the plane homogeneous fifth polynomial differential system the main techniques used in this thesis includes the methods of the global structure and coefficient conditions of the plane homogeneous quadratic and cubic system mentioned in the paper [ 1 ] of professor ye yanqian, and the paper [ 2 ] of professor li xue min, also includes the idea to high - order critical point of professor zhang zhifen, lu yulin and han yuliang etc. due to the degree of polynomial in the right of equal - sign crease, when we discuss the global structure, the more special directions, the more difficulty in drawing phase portraits of this system

    本文主要討論一類平面齊五次多項式微分系統的全局拓撲結構及系數條件。借鑒了文獻[ 1 ]葉彥謙教授對平面齊二次系統的全局結構及系數條件和文獻[ 2 ]李學敏教授對平面齊三次系統的全局結構及系數條件的研究方法，同時綜合了張芷芬教授、陸毓麟教授、韓玉良教授等人對高次奇點的研究思想進行討論。這樣，由於等號右邊多項式次數的增加，討論系統的全局結構時，可能出現的特殊方向就會增加，在作全局相圖時，難度增大了。
  20. The formula for mach number has been optimized with least - squres solution, thus the precision of a polynomial of power of 5 is better than that of 9. 2. after the solving of angle of attack and angle of sideslip, the theory of general inverse of matrix is used to simplify the nonlinear equations and to calculate the total pressure and the modified dynamic pressure ratio. these two parameters together with the angle of attack and angle of sideslip contain enough information to work out the dynamic pressure and static pressure

    其中包括: 1 .應用最小二乘法，對馬赫數的泰勒求解公式進行優化，優化后的求解公式採用5次多項式即可在精度上優于原有的9次多項式，可以提高運算速度; 2 .提出應用廣義逆矩陣簡化非線性方程組:在已經求解出迎角與側滑角的前提下，直接從原始的壓力向量中提取出總壓，並且提出了動壓修正比的概念。
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