高次方程 的英文怎麼說

中文拼音 [gāocìfāngchéng]
高次方程 英文
equation of higher degree
  • 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...
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  • 次方 : capital
  1. 5 the fugacity coefficients, residual enthalpies and residual entropies of the pure fluids at low temperatures and high pressures were predicted with the general quintic virial equation

    10 。 5用上述通用五次維里方程預測了純流體在低溫高壓下的逸度系數、剩餘恰和剩餘嫡。
  2. The physical models for those sound synthesis methods can exactly describe musical instruments ' s fundamental and harmonious and inharmonious frequencyies, as well as their nautral sounding process. they can be played like real musical instruments, representing players ' s strength, velocity and pattern, as well as emotion. so, the methods are playing very important roles within the sound synthesis domain currently, with mpeg4 published and improvement of computer ' s computational efficiency

    由於它可以精確地描述物體的發聲及其發聲過程，精確地再現樂器的基波、高次諧波、非諧波以及asdr過程，象真實樂器一樣可以表達演奏者的演奏力度、速度、風格和情感，隨著計算機處理速度的提高，尤其是mpeg4技術的公布，這種方法日趨活躍，成為目前樂器模擬、聲音合成的研究熱點。
  3. The study of higher-degree equations was forced upon mathematicians.

    數學家們不得不研究高次方程。
  4. Moreover equations of degree higher than quartic often arise in equilibrium calculations.

    況且，在平衡計算中常常發生比四次方程還高的高次方程。
  5. Thirdly, multimode - coupling phenomena in cylindrical geometry was analyzed by the simulation. the growth of every mode and its harmonic was qualitatively compared well with the solutions of mode - coupling equation. fourthly, the rt instability in cylindrical and spherical geometries was calculated during an implosion

    第三，利用lared一s程序模擬柱幾何中rt不穩定性的多模禍合問題，對各個模及其高次諧波的變化進行了分析，並且與模藕合方程的解定性地進行比較，結果符合得較好。
  6. Following is our main work and important conclusions : ( 1 ) the question of energy spectrum hardening. we used the klein - nishina ' s differential scatter formula, meanwhile utilize the thaler progression to spread out, and neglected the high - power, and then we deduced a theoretical formula of correction of energy spectrum hardening

    其主要工作和結論如下： （ 1 ）對x射線能譜硬化問題，把klein - nishina微分散射方程，利用泰勒級數展開，在忽略高次項的情形下，近似地推導出了能譜硬化修正公式。
  7. The most achievement is that we firstly obtain the analytic accurate solution of the modal fields of the waveguide structure and find some available character : ( 1 ) the different uniaxial crystal materials have the different propagation properties ; ( 2 ) when the optical axis of the crystal is on the plane that is made up of the normal direction of the waveguide plane and the propagation, there are te mode and tm mode in this special waveguide, but the principal mode is different of the character of the uniaxial crystal, the principal mode is the principal mode of te mode for the negative uniaxial crystal, but the one of tm mode for the positive uniaxial crystal ; ( 3 ) when the crystal optical - axis parallel to the waveguide plane, for the positive uniaxial crystal material, the principal mode of the waveguide is a te wave, which can be excited by the light at any frequency ; when the light frequency satisfies a single mode propagation condition, there will be only the principal mode propagating in the waveguide, otherwise some of the higher order modes can be excited, which are neither te modes, nor tm modes, but the hybrid guided modes

    本文就是在此背景下，利用金屬波導和單軸晶體的一些特性，結合麥克斯韋方程組和波導的邊界條件，從三種不同的情況研究了光在對稱平面單軸晶體金屬波導（波導層是單軸晶體，兩個波導界面均為金屬）內的傳輸特性，其主要貢獻為，首次解析地得到了這種波導結構下模式場的精確解，並發現了一些有用的特性： （ 1 ）模式場的性質因單軸晶體的性質不同而異； （ 2 ）當單軸晶體光軸位於波導界面法方向與傳輸方向構成的平面內時，波導中傳輸te波和tm波，只不過其主模因單軸晶體的性質不同而異，當波導層介質為負單軸晶體時，波導主模是te波主模，而波導層介質為正單軸晶體時波導主模是tm波主模。 （ 3 ）當單軸晶體光軸位於波導面內時，對于正單軸晶體，波導的主模是橫電波te _ 0模，任何頻率的光波均可激勵該模式；當光波波長滿足一定條件時，波導內傳輸單模，否則，將激勵起高階模式，高階模即匪te波，也匪tm波，而是兩者耦合而成的混合模。
  8. It is demonstrated that the solution for 141 000 order normal equations for a simulated astro - geodetic network ( 47 057 points ) and a space one ( 476 points ) iterates 4 993 times to converge to 1 10 - 18 second, taking 28 min and 47 seconds, on a pii / 233 computer, showing over 40 times more efficiency, as compared with the coefficients unadjusted

    利用模擬的天文大地網（ 47057點）和空間網（ 476點）在pii / 233微機上解算14 . 1萬階方程組共迭代4993次（收斂至1 10 - 18角秒） ，花費機時28分47秒，與未進行系數調整相比，功效提高40多倍。
  9. It can be used not only to change the fire precision of the base bleed projectile, but also to improve the effect of reduction drag and expansion range. the calculating model of the secondary expansive pressure of the burning gas is constructed by means of analysis of the experimental resuits, it has been confirmed that the new base bleed unit can be designed, with the secondary expansive principle of the burning gas pressure. the engineering project of a hybrid base - bleed - rocket high - level efficient extended - range projectile is designed, with the secondary expansive principle of the burning gas pressure, the feasibility and the true worth of its engineering applications is validated in theory

    本文提出了底排燃氣壓力不隨外部壓力變化，既可改善底部彈射擊精度又可提高減阻效果的二次擴張原理，建立了底排燃氣二次擴張壓力的計算模型，並通過採用二次擴張原理的新型底排裝置與傳統底排裝置的對比試驗，驗證了新型底排裝置結構實現的可行性；完成了基於底排燃氣二次擴張高效增程原理的底排?火箭復合高效增程彈方案設計及其有關計算，從理論上驗證了其工程應用的可行性和實際價值。
  10. This thesis was divided into eight chapters, and the main results and innovations obtained here can be summarized as follows : ( 1 ) the physics model of tsrs in frequency conversion crystals has been built up firstly. based on quantum - mechanical viewpoints and the following physical processes and parameters : the two - photo interaction of light with matter, paraxial diffraction of stokes, langevin noise sources, reflection at the faces and the edges of crystals, gain coefficient, beam aperture, pulse width and fluence of 3, the physics model of tsrs in kdp and kdp crystals acting as high - fluence frequency convector and the paraxial operator maxwell - bloch - langevin equations have been built up

    全文共分八章，取得的主要成果及創新點如下： （ 1 ）首次建立了諧波轉換晶體的tsrs物理模型本文根據量子力學原理，在考慮如下物理過程和參量的基礎上：光與物質的雙光子相互作用； stokes光的傍軸衍射； langevin （郎茲萬）噪聲源；晶體表面反射和端面反射；增益系數、光束口徑、脈寬和三倍頻光能量密度，推導出高通量激光在kdp和kd ~ * p諧波轉換晶體中的tsrs物理模型和空間上的近軸算符maxwell - bloch - langevin方程組。
  11. 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。
  12. With the development of the network and the multi - processor system, the research, simulation and the impemeni of the system - level fault diagnosis which is the very important means to increase the reliability of the system, are becoming more and more important. on the system - leve1 fault diagnosis, based on the group theory of system - level fault diagnosis that has been put forward by pro f zhang, the paper constructs newly the theory bases, improves on the matrix method, reinforces and consummates group arithmetic of all kinds of test mode, for the first time, analyses and discusses the equation solution of all kinds of models, so al1 the consistent fault patterns ( cfp ) could be found, straightly and high efficiently, even if the sufficient and necessary condition of t - diagnosable is dissatisfied and the complexity of system - level fault diagnosis is greatly decreased, especialy in strong t - diagnosabl6 system. last the simulation system ' s function has been extended and the application hotspot and the development trend have been disscussed

    本人在張大方教授等人提出的基於集團的系統級故障診斷的理論基礎上，重新構建了系統級故障診斷的理論基礎，定義了系統級故障診斷測試模型的三值表示；改進了系統級故障診斷的矩陣方法，重新定義了測試矩陣、鄰接矩陣、結點對、結點對的相連運算、極大準集團和斜加矩陣，由此能直觀、簡便地生成集團和極大獨立點集；補充和完善了各類測試模型的系統級故障診斷的集團演算法，通過定義集團測試邊和絕對故障集，簡化了集團診斷圖，由此能較易地找到所有的相容故障模式，即使不滿足t -可診斷性，大大減少了系統級故障診斷的復雜度，尤其是對強t -可診斷系統；首次分析探討了各類測試模型的方程解決，由此從另一角度能系統地、高效率地求出所有的相容故障模式（ cfp ） ：擴充了系統級故障診斷模擬系統的功能，快速、直觀和隨機地模擬實驗運行環境，進行清晰和正確的診斷，同時提供大量的實驗數據用於理論研究，優化演算法和設計。
  13. In this paper, some especial higher power equation be enumerated, just like binomial equation or reciprocal equation, for people can ' t fine common extract roots formula about five and above power equation

    摘要基於五次或五次以上方程沒有一般通用的求根公式，本文列舉了一些特殊的高次方程的解法。
  14. Calculating water flow constract deepage with high order equation iteration method

    用高次方程的迭代法計算水流收縮水深
  15. By means of the measuring the natural frequencies of a beam on a elastic foundation together with the transfer matrix method and the computer algebraic language ， the paper deduces the high - order equation ， which contains unknown quantity of the stiffiness of supports. this method ， the validity of which has feen verified by experiments ， can be applied to identifying the foundation coefficient

    本文通過實測彈性地基梁的固有頻率，以傳遞矩陣法為基礎，利用計算機代數語言，導出以支承剛度為未知數的高次方程，從而識別出地基系數，並通過實驗驗證該方法的正確性。
  16. In this thesis, first, reasons and factors for the stability of loose rock dams were summarized according to the field surveys and certain expert ' s experiences. then, researches on block stability problems were reviewed, and according to the relationship between grain size and incipient velocity, it is found that the block weight is in direct proportion to 6 - 9 power of incipient velocity, and 50 % increase of the velocity will result in about 40 times change of the block weight. after that, experiments were conducted in a flume, focusing on the relationship between incipient velocity and some main factors including block weight, water depth over the dam, cross - section size, block material and river bed material

    本文首先根據散拋石壩損毀情況的現場調查資料，結合有關專家多年的整治經驗，總結出壩體的損毀原因及影響因素；對現有塊體穩定性的研究成果進行回顧和總結，並針對散拋石壩的直接損毀現象，結合山區河流的水流、地形特點，利用塊體粒徑與起動流速的關系，提出塊體穩定重量與起動流速高次方成正比的概念，流速50的增長可能導致塊體穩定重量接近40倍的變化；通過二維變坡水槽試驗，研究了壩體穩定的主要影響因素，包括塊體重量、壩頂水深、斷面尺寸、塊體材料（塊石和卵石兩種） 、護底等，結果表明對于山區河流，試圖僅僅通過增加壩體單個塊體重量或斷面尺寸來提高壩體穩定性效果甚微；最後，根據西部地區的自然、經濟、交通等條件，提出可以採用柔性混凝土鉸鏈體等一類整體性較好的護面層作為散拋石壩的防沖毀措施，以期取得良好的工程效果。
  17. In chapter 2, we study the regularity of solutions of some second order differential equations. in chapter 3, we study the regularity of solutions of higher order non - homogeneous differential equations where coefficients are rational functions or super entire functions. in chapter 4, we study the regularity of solutions of higher order homogeneous differential equations where coefficients are super meromorphic functions

    其中第二章研究了某些二階方程解的正規性；第三章在系數分別為有理函數和超越整函數的情況下研究了高階非齊次方程解的正規性；第四章在系數為超越亞純函數的情況下研究了高階齊次方程解的正規性；第五章則是假設在方程系數為正規亞純函數的條件下得到的解的增長性方面的結果。
  18. In this thesis, the basic problem of network security, some correlative protocols and cryptology are discussed at first, math theory in point is also studied. especially, a sort of new matrix method of solving quadratic equation over gf ( 2m ) is given, which is the key of selecting random point over elliptic curves. no better solution has been found in related literature in the world. compared with ieee p1363 ' s method, it is easy to implement the software and obtain high efficiency, etc. then the basic operation of elliptic curve is debated and the steps of finding secure curve and basis point over gf ( 2m ) are presented. moreover, the encryption and decryption schemes of the ecc are designed and the security problem of ecc is also considered. in the end, ecc by koblitz curves are implemented

    文章首先討論了網路安全基本問題、網路安全協議和密碼學；對相關數學理論進行了研究，特別是給出了一種新的求解gf （ 2 ~ m ）上二次方程的矩陣法，而它是選取橢圓曲線上的隨機點的關鍵步驟，和ieeep1363的方法相比，它有易於軟體實現、效率高等優點，在國內外相關文獻上還未見到更好的求解方法；接著討論了橢圓曲線的基本運算，進而給出了在gf （ 2 ~ m ）上選取安全曲線及基點的步驟；文章還設計了橢圓曲線加密系統的加解密方案，討論了橢圓曲線系統的安全性問題。最後文章就koblitz曲線加密系統進行了軟體實現。
  19. Based on the compound poly - power function cam profiler design method of optimum cam profile was investigated. cam time profile of the original tbd604b diesel was analyzed and the cam profile was designed again by use of the method mentioned in this paper. performance testing improved and higher power output tbd604b diesel was satisfactory

    本文以復合高次方凸輪型線為基礎，探討了凸輪型線的優化設計方法，對tbd604b柴油機原機的配氣凸輪進行分析了解了tbd604b柴油機配氣凸輪的升程函數為高次方曲線，且經優化，在允許的最大正加速度條件下，豐滿系數已達最大值。
  20. In chapter 2, we study the further results on the properties of growth of solutions of one kind of higher order linear differential equations with entire coefficients, when there is one coefficient that is main dominating to the properties of the solutions, we obtain precise estimate of hyper - order of solutions of equations either homogeneous or non - homogeneous and relations between the solutions and functions with smaller growth

    本文研究了某些高階線性微分方程解的增長性問題。其中第二章研究了一類高階整函數系數微分方程解的增長性的進一步結果，當存在某個系數對方程的解的性質起主要支配作用時，得到了齊次與非齊次方程解的超級的精確估計及方程的解與小函數的關系。
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