方程次數 的英文怎麼說

中文拼音 [fāngchéngcìshǔ]
方程次數 英文
degree of equation
  • 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 : 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...
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 次數 : number of times; frequency
  1. 2 the theoretical values of the second virial coefficient are precisely fitted into some simple expressions. according to one of them, a new temperature function for the quadratic terms in cubic equations was derived : the function is simple, general, without acentric factor, truly predictive, theoretically sound, and applicable to all the van der waals - type equations

    2將第二維里系數的理論值較精確地擬合為幾種簡單的表達式，並據此導出了立方型狀態方程中二次項溫度函數的新形式該式簡單、通用，不含偏心因子，具有真正的預測功能和堅實的理論基礎，原則上適用於所有vanderwaals型方程。
  2. For a class of quadratic finite element diseretization systems of an elliptic boundary problem with jump coefficients under the unstructured quadrilateral grids, we are concerned with two kinds of quadratic lagrangian finite element equations, by analyzing the relationship between the linear finite element and quadratic finite element basis functions, a hew amg method is designed

    摘要針對一類帶間斷系數的橢圓邊值問題，在非結構四邊形剖分下，討論了兩種二次拉格朗日有限元方程的代數多重網格法，通過利用雙線性元和二次元基函數之間的表示關系，給出了一種新的網格粗化演算法和構造提升運算元的代數途徑。
  3. The various colours significant of various degrees of vitality white, yellow, crimson, vermilion, cinnabar : their degrees of brilliancy : their magnitudes revealed up to and including the 7th : their positions : the waggoner s star : walsingham way : the chariot of david : the annular cinctures of saturn : the condensation of spiral nebulae into suns : the interdependent gyrations of double suns : the independent synchronous discoveries of galileo, simon marius, piazzi, le verrier, herschel, galle : the systematisations attempted by bode and kepler of cubes of distances and squares of times of revolution : the almost infinite compressibility of hirsute comets and their vast elliptical egressive and reentrant orbits from perihelion to aphelion : the sidereal origin of meteoric stones : the libyan floods on mars about the period of the birth of the younger astroscopist : the annual recurrence of meteoric showers about the period of the feast of s. lawrence martyr, 10 august : the monthly recurrence known as the new moon with the old moon in her arms : the posited influence of celestial on human bodies : the appearance of a star 1st magnitude of exceeding brilliancy dominating by night and day a new luminous sun generated by the collision and amalgamation in incandescence of two nonluminous exsuns about the period of the birth of william shakespeare over delta in the recumbent neversetting constellation of cassiopeia and of a star 2nd magnitude of similar origin but lesser brilliancy which had appeared in and disappeared from the constellation of the corona septentrionalis about the period of the birth of leopold bloom and of other stars of presumably similar origin which had effectively or presumably appeared in and disappeared from the constellation of andromeda about the period of the birth of stephen dedalus, and in and from the constellation of auriga some years after the birth and death of rudolph bloom, junior, and in and from other constellations some years before or after the birth or death of other persons : the attendant phenomena of eclipses, solar and lunar, from immersion to emersion, abatement of wind, transit of shadow, taciturnity of winged creatures, emergence of nocturnal or crepuscular animals, persistence of infernal light, obscurity of terrestrial waters, pallor of human beings

    顯示出不同程度之生命力的繽紛色彩白淺黃深紅朱紅銀朱諸星之亮度一直包括到七等星以等級標志的諸星之大小諸星的位置御夫座沃爾辛厄姆路172大衛的戰車173土星光環螺旋星雲凝固后形成有衛星的恆星群兩重大陽相互依存的旋轉運動伽利略西蒙馬里烏斯174皮亞175勒威耶赫歇耳加勒176等人各自獨立地同時所做的發現波得和開普勒所嘗試的距離的立方與回轉次數的平方的體系化177多毛的眾彗星178那幾殆無限的被壓縮性，以及自近日點至遠日點那廣漠的遠心的重返大氣層的橢圓軌道隕石的恆星之起源年紀較輕的天體觀測者誕生的那個時期火星上所出現的「暗波」現象179每年在聖勞倫斯節殉教者，八月十日前後降落的隕石雨每月都發生的所謂「新月抱舊月」現象180關于天體對人體的影響的假定威廉莎士比亞出生的時期，在斜倚卻永不沒落的仙后座那三角形上端，一顆不分晝夜散發著極亮光彩的星辰一等星出現了181這是兩個無光死滅了的太陽因相撞並汞合為白熱體而形成的燦爛的新太陽大約在利奧波德布盧姆出生時，出現在七星花冠星座里而後又消失了的一顆同一起源亮度卻稍遜的星宿二等星182還有約於斯蒂芬迪達勒斯出生時，出現在仙女座中之後又消失，小魯道爾夫布盧姆出生與夭折數年後出現于御夫座后又消失，以及另外一些人出生或去世前前後後出現在許許多多其他星座中而又消失了的假定是同一起源的實際存在或假定存在的星斗183 。
  4. Its biquadratic finite element approximation is considered and under the appropriately graded meshes, quasi - optimal order error estimates in the - weighted h ^ 1 - norm, up to a logarithmic factor in the singular perturbation parameter, are proved

    然後，考慮此方程在分層網格剖分上的雙二次有限元逼近，在-加權h ^ 1 -模意義下得到了至多相差一個關于攝動參數對數因子的擬最優階收斂的誤差估計。
  5. The quadratic equation algorithm utilizes spa, dpa and principle of rsa - crt, converts the complicated prime factorization of a large composite number into finding the solution of a quadratic equation and gains the private key at last

    該方法綜合利用spa 、 dpa攻擊手段和rsa - crt演算法原理，將rsa演算法的大數分解難題轉化為以私鑰p或q為解的二次方程，最終獲取演算法私鑰值。
  6. As it can be expressed easily by argument equations, we use the conicoid as the criteria of points " classification. based on the point ' s normal and the adjacent field, corresponding to the conicoid equation such as plane, ball and cylinder, we search the points that fit the equation along the adjacent field. using this method, we realized the automatic classification of unorganized points

    本文採用了可以比較方便地用參數方程表示的二次曲面作為數據點的分類標準，根據點的法向量以及其鄰域結點的各種屬性，對應于平面、球面、柱面等二次曲面，依據曲面方程的特點，從起始點開始沿鄰域深度優先遞歸尋找符合方程的數據點，實現了散亂數據點的自動分類。
  7. The explicit method of calculating surges in throttled, simple and downriver throttled and simple surge tanks has been derived for the first time by use of thaler series expansion from the basic formulation of surge tank. 2

    根據調壓室的基本微分方程，利用泰勒級數展開方法首次推導出了阻抗式、簡單式、尾水阻抗式和簡單式調壓室水位波動的顯式計算公式。
  8. Some quadratic equations have no real roots.

    某些二次方程沒有實數根。
  9. By means of constructional iterative equation, this paper presents a way to give out the existence and singularity of a type of equational root with gradual approach method

    摘要本文通過構造迭代函數，利用逐次逼近的方法給出了一類方程根的存在性與唯一性的判斷的一種解決方案。
  10. Secondly, this paper illustrated the nonlinear phase dynamic theory of the aia array and the application of it to power - combining and beam - scaning technique. according to these theories, the coupling parameter of nearest neighbors was found by experiment, then the two - element and three - element aia array were designed, and the result of measurement was in agree with that of the nonlinear phase dynamic theory, and the beam - scaning of two - element array was realized by tuning the free oscillation frequency of the elements

    其次，本文討論了有源集成天線陣列的非線性相位動態理論以及它在功率合成和波束掃描方面的應用，包括同步工作條件、穩定條件和相位動態方程等，通過實驗確定了陣列中相鄰單元間耦合參數，並將之運用於有源集成天線二元陣和三元陣的設計，實驗結果與理論結果吻合較好。
  11. Secondly, the effectiveness and limitation of the classical perturbation, such as the method of multiple scales and the poincare - lindstedt method, are discussed in detail through a duffing oscillator with delayed velocity feedback. it is shown that the two perturbation methods are effective only in solving the approximate solution of the first two orders. an ambiguity or paradox will be encountered when they are used to seeking for the third or higher order approximation of solution

    其次，以一具有時滯速度反饋的duffing系統為例，研究了經典攝動法如多尺度法， poincar - lindstedt法等在求解時滯微分方程級數解時的適用性和局限性問題，指出利用這些方法只能有效求得系統的前兩階近似解，而在求系統的三次以上近似解時會出現矛盾或二義性。
  12. Three finite - difference methods, i. e., stagger grid, implicit and explicit algorithms, are analyzed in detail. multi - grid algorithm is firstly introduced in elastic wave simulation, to solve for the stability problem inherent in stagger grid and implicit algorithm, also for the efficiency problem inherent in explicit algorithm, and the precision, stability and efficiency for simulation of elastic wave arc increased by multi - grid method. phase - delay method is provided to effectively absorb boundary reflection and increase efficiency for wave motion simulation, based on phase delay and amplitude decaying features along wave propagation

    在水平分層介質接收函數的波形反演研究的基礎上，本文系統闡述了非均勻介質中彈性波傳播數值模擬常用的三種有限差分方法：顯式差分、隱式差分和交錯網格法，首次將多重網格演算法應用於彈性波方程的數值模擬問題，克服了交錯網格法和顯式差分法穩定性差，以及隱式差分法計算效率低的缺點，大大提高了彈性波數值模擬的精度、穩定性和計算效率。
  13. The main work includes : for the torsional vibrations of a rigid disk on saturated media, first, the dynamic governing equations are solved by the use of hankel transform and the general solutions in the hankel transform fields are formulated. then, considering the mixed boundary - value condition, the dual integral equations of the torsional vibrations of a rigid disk on saturated grounds are obtained, which can be reduced to the fredholm integral equations of the second kind and solved by numerical procedures. consequently, the dynamic compliance coefficient curves and the torsional angle amplitude curves versus the dimensionless frequency are presented and contrasted to that of the elastic one

    在前人研究的基礎上，本文基於陳龍珠等曾提出的一組實用飽和土波動方程，用解析或半解析的方法首次較系統而深入地研究了飽和半空間地基與基礎的扭轉振動問題，主要工作有：對于飽和地基上剛性圓板的扭轉振動，作者首先採用hankel變換求解了動力控制方程，得到了該控制方程在hankel變換域內的通解，然後由混合邊值條件建立了飽和地基上剛性基礎扭轉振動時的對偶積分方程，並將其化為易於數值求解的第二類fredholm積分方程，用數值方法計算了基礎的動柔度和扭轉角幅值與振動頻率的關系曲線，並將其與單相彈性介質情況進行了對比分析。
  14. The water quality respond relation of input - output measurements are established by systematic theory in this paper. according to the peculiarity of hydrology and the necessity of water quality inverse problem the multi - parameter inverse problem model based on ordinary differential equation is developed. the existence and uniqueness of the solution of the ordinary differential equation about two parameters or multi - parameter are to be proved. the unstability depending on errors between monitoring data and interpolation approximate data are analyzed and demonstrated. cubic spline interpolation function, the least two multiply and positive rule method are conjoined for obtained solution of multi - parameter. the results from this algorithm indicats its efficient to the multi - parameter identification in water quality modeling

    本文應用系統理論，建立了水質多參數輸入輸出之間的響應關系；根據河流水文水質變化特點和參數反問題的需求，建立了水質常微分方程多參數反問題模型.根據常微分方程參數反問題的數學理論，作者給出了兩參數和多參數水質常微分方程反問題的解的存在性、唯一性的理論證明過程和結論；還針對水質現有監測資料的測驗誤差和插值近似計算誤差造成參數反問題的不穩定性，將三次樣條插值函數、超定方程最小二乘法和正則化演算法有機地結合使用，成功地給出了水質參數反問題的穩定化演算法.最後給出了應用計算結果
  15. 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。
  16. In this paper a numerical method for equations of transport and biodegradation in the fractured media is discussed. because the equations consist of terms related to advection, diffusion, biochemical as well as the term of exchange betwen the fracture and the porous media, it is very difficult to find their solution. in order to find more efficient method for solving these equations, several numerical methods for the equations without biochemical terms are discussed first. the numerical results show that the cubic spline method can be used to solve advection flow dominated problem which often occurred in the fractured media. then, the equation with both advection - diffusion term and biochemical term are discussed. the splitting - operator is used to decouple the advection and diffusion terms with biochemical term in the equations. the way to determine the smaller time step for solving fast biochemical terms is introduced through comparing the order of characteristic time of biochemical term with that advection ( diffusion ) term. numerical simulation results show that good agreement between analytical solution and experiment result is attained

    本文討論了含裂隙介質地下水污染物輸運與生物降解非線性方程組數值求解方法.方程含有對流項、擴散項、生長、死亡、吸附、解吸、趨化和孔隙與裂隙介質界面間的交換項的非線性偶合，使演算法十分困難.本文討論了無生化過程時的幾種求解方法，數值結果表明：用三次迎風插值法對常見的對流項占優勢，且場變量有較大梯度的問題較適用.在討論有生化反應過程時，利用對流項與生化反應項的特徵時間量級估算，給出了求生化過程作用子步的時間步長估算辦法.用上述方法所得到的模擬結果與解析解、無化學反應和有化學反應的實測值對比，吻合很好
  17. In this paper, deconvolution and linearized inversion of receiver function are improved ; multi - channel deconvolution and wavelet inversion are developed for receiver function. the elastic wave motion equation is applied in the simulation and migration of receiver function in lateral inhomogeneous media, multi - grid algorithm is introduced in numerical modeling of elastic wave motion equation, and phase - delay boundary condition is also provided to absorb boundary reflection

    在此基礎上，重點研究和發展了橫向非均勻介質中，基於波動方程的數值模擬與偏移成像方法，首次將多重網格演算法引入到彈性波方程的數值模擬和接收函數的偏移成像，還發展了一種延遲邊界方法，以消除人為邊界反射的影響。
  18. Adopting full - stroke braking, friction overloading assurance as well as other advanced technology, this machine owns advantages of big table - board, large stroke, simple structure, large striking force, high number of strokes, reliable operation and convenient usage and maintenance

    該產品採用全行程制動摩擦超載保險等先進技術，具有大臺面大行程結構簡單打擊力大行程次數高工作安全可靠，使用維修方便等特點。
  19. The fast spot price solution proposed in this paper introduces a decomposing model, which is benefit for analyzing each component of spot price. based on interior - point optimal power flow, which has superiority on calculating and decomposing spot prices under power market environment, after rational approximation, the coefficient matrix and its factor table of modifying equation are made constant and need no recalculation during iterations

    本文提出的快速實時電價演算法採用適于對實時電價各組成部分進行分析的分解模型，在內點法最優潮流的基礎上合理的常數化其修正方程系數矩陣，使其在每次迭代時不必重新計算，大大提高計算速度。
  20. Adopting full - stroke braking, friction overloading assurance as well as other advanced technology, this machine owns advantages of simple structure, big striking force, high number of strokes, reliable operation and convenient usage and maintenance

    該產品採用全行程制動摩擦超載保險等先進技術，具有結構簡單打擊力大行程次數高工作安全可靠，使用維修方便等特點。
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