無量方程 的英文怎麼說

中文拼音 [liángfāngchéng]
無量方程 英文
irrational equation
  • : 無Ⅰ動詞(沒有) not have; there is not; be without Ⅱ名詞1 (沒有) nothing; nil 2 (姓氏) a surn...
  • : 量動1. (度量) measure 2. (估量) estimate; size up
  • : Ⅰ名詞1 (方形; 方體) square 2 [數學] (乘方) involution; power 3 (方向) direction 4 (方面) ...
  • : 名詞1 (規章; 法式) rule; regulation 2 (進度; 程序) order; procedure 3 (路途; 一段路) journe...
  • 無量 : measureless; immeasurable; boundless
  1. This course consists of several major parts, such as ordinary differential equation, vectors and analytic geometry, derivatives, integration and series

    內容包括常微分、空間解析幾何與向代數、多元函數微分學、多元函數積分學和窮級數等幾大板塊。
  2. Methods in evaluating integrals, some complex variable methods, infinite series, special function, ordinary differential equations, vector and materials, groups and group representations

    計算積分的法、復數法、線級數、奇殊函數、微分、向及矩陣、群論。
  3. And results are : ( 1 ) analyze the force and distortion on pipeline under collapse and gulch in theory. on the base of beam deformation, analyze the bending moment and deformation of pipeline with frusta and without frusta. calculate a true problem, contrast the differences between pipeline with frusta and one without frusta, draw some conclusions

    得到的主要結果為: ( 1 )基於彈性地基理論和彈性梁的撓曲線理論,給出了管道在固定墩(相當跨越河溝情況)和固定墩(相當坍塌和沖溝情況)的變形微分,並分析了當軸力為拉力或壓力時管道的變形和受力情況。
  4. Next, in order to comprehand the electromagnetic characteristics and the dynamic characteristics of the new type of magnetic micromotors, the dissertation applied the concept of the magnetic scarlar potential of the irrotational magnetic fields and set up the mathmatic model for the inner magnetic field of the new type of motors from the basic equations and the boundary conditions of the motor magnetic field. oh the basis of the mathmatic model, the dissertation analized the various qualities of the magnetic field of the air gap between the rotor and the stator and gave a detailed calculation of the air gap ' s magnetic potential, magnetic field intensity, magnetic induction, the shape of the magnetic scarlar potential level surface, the distribution of the magnetic circuit, the magnetic induction the self - inductance and the mutual inductance of the coils

    其次,為全面了解這種新型電磁電機的電磁特性和動力特性,本文從電機磁場的基本及其邊界條件出發,應用旋磁場的標磁位概念,建立了端面搖擺式電磁微電機內部磁場的數學模型,並以此為基礎,詳細分析了電機氣隙磁場的各面性質,對氣隙磁場的磁標位、磁場強度、磁感應強度、等磁位面形狀、電機工作磁路的分佈、電機的工作磁通以及激勵繞組的自感和相互之間的互感進行了詳細的分析計算。
  5. ( 2 ) the liman problem is normally adopted to check the liability of numerical method. the calculation error was within 9 % by comparison with the theoretic solutions of liman problem in the following case, the dimensionless calculation length was 2 with high pressure zone 0. 8, and the dimensionless state parameters were p1 = 2, p2 = 1, p1 = p2 = 1, u1 = u2 = 0. experiment results in literature [ 8 ] were used to check the adaptability of the numerical model developed here for unconfined gas cloud explosions and the calculation error was within 13 %

    ( 2 )數值法的可靠性通常用黎曼問題的解析解檢驗,本文以綱計算區長度為2 ,高壓區長度為0 . 8 ,狀態參數為p _ 1 = 2 , p _ 2 = 1 , _ 1 = _ 2 = 1 , u _ 1 = u _ 2 = 0條件下的黎曼問題解析解對所編制的爆炸場計算序進行了考核,結果表明該序的計算誤差在9以內;為考核本文計算模型預測開敞空間氣雲爆炸的適用性,以文獻[ 8 ]的實驗數據進行了校核,計算誤差在13以內。
  6. Previous researchers have always determined the sp atial distribution patterns ( sdp ) of castanopsis kawakamii with a sample - dis tance method. however, the distribution patterns may be affected by the quadrat si ze and, in the course of analysis, the density differences among the cluster plots are not considered ; therefore, differences of cluster plot size and the dispersi on degree among individuals of cluster plots can not be known. authers of this pa per have determined the spatial distribution patterns of castanopsis kawakamii population in different habitats by means of non - quadrat distance method and a nalysed the pattern intensity and grain of the sdp. the pattern intensity is defi ned with the relative density differences and the pattern grain can embody the d ispersion degree of the individuals in the plots, and the dispersion degree among the plots. the determined results are as follows. the intensities of the species range in order from strong to week : litsea mollifolia p. kawakamii i. purpure a r. cochinchinensis c. kawakamii c. carlessii d. oldphamii s. superba. the gra ins of the species queue in order from coarse to close : s. superba = litsea mollif olia r. cohinchinensis c. kawakamii = i. purpurea c. carlessii p. racemosam d. oldp hamii. these determined results tally basiclly with the results authers of this paper have got in determining the same plots by means of aggregate index access ing method. in view of this, it is held that the sdp of c. kawakamii is closely related to the habitats and biological features

    前人都是採用樣法對格氏栲種群數的空間格局進行測定,而格局分佈有可能受樣大小的影響,且分析過中沒有涉及聚塊間密度差的問題,因而法掌握種群的聚塊大小差別及聚塊內個體間的離散度.本研究採用距離法,測定不同生境的格氏栲種群空間格局,分析格氏栲種群格局的強度和紋理.強度以聚塊和間隙的密度差來定義,紋理則是體現聚塊內個體間的離散度與諸聚塊間的分離度.測定結果表明,格氏栲種群格局強度從高到低排列次序為:木姜子蚊母樹冬青茜草樹格氏栲米櫧虎皮楠木荷;格局紋理從粗到細的順序是:木荷=木姜子茜草樹格氏栲=冬青米櫧蚊母樹虎皮楠.這一測定結果與作者採用聚集度指標測定相同樣地格氏栲種群空間格局的結果基本相符.因此,格氏栲空間格局類型及分佈與格氏栲生物學特性及生境的關系密切
  7. At the same time, on the basis of above results, the stability problem of the polarization of particle self - spin is discussed in irregular magnetic field of accelerator. the discovery that the low degree polarization system is very sensitive to the irregular magnetic field while the high degree polarization system is very stable is found. the irregular fluctuation of the vertical ponderance is complementary to that of the horizontal ponderance due to the self - spin conservation

    同時,在此基礎上,利用su ( 2 )代數動力學研究了加速器中帶自旋離子的極化對磁場的含時規擾動的穩定性問題,發現:低度極化的系統對磁場規擾動十分敏感,而高度極化的系統對磁場規擾動十分穩定;自旋守恆導致自旋的縱向分規漲落和橫向分規漲落存在著互補性。
  8. In this paper, high - order accurate weighted essentially non - oscillatory ( weno ) schemes are investigated and their applications in hyperbolic conservation laws are discussed. based on this, a new weno difference scheme which based on dispersion - relation - preserving relation is developed, and representative test cases with this scheme for computational aeroacoustics ( caa ) problems has been implemented and compared in order to test capability of wave capturing ; in addition, weno schemes generally do not converge at high order in the presence of contact discontinuity of euler equations, so a conservative front tracking technique coupling weno schemes and level set method to simulate the translating density profile is presented here, and numerical simulation with this technique for representative test case has been implemented and results show the desired accuracy

    本文研究了高階精度加權基本振蕩( weno )格式及其在雙曲守恆律中的應用,在此基礎上作了兩個面的工作:一是針對高頻聲波問題構造出一種基於保色散關系( drp )的weno有限差分格式,並對計算氣動聲學( caa )問題的代表性算例進行了大數值實驗,比較了該格式捕捉波數的能力;另外,針對高階weno格式在處理euler的接觸間斷時精度有所降低的問題,研究了利用界面追蹤技術levelset法和高階激波捕捉weno格式相結合的一種守恆追蹤法,並且給出有代表性的密度滑移面問題的算例,得到一致高階精度的數值模擬結果。
  9. A convergence acceleration technique, boundary element method ( bem ), spectrum of two - dimension solutions ( s2ds ) method are used separately in solving dyadic green function of the three domain. next, waveguide narrow - wall slots array ' s is introduced in this paper

    對外部空間,與縫隙腔體區域一樣認為場與z關,對所有場做z向的fourier變換,得到譜域上的一系列去耦合的二維
  10. For the given sample points, and matrix formed by covariance function with sample points as parameters, when the number of sample points approaches infinite, it is proven that this matrix spectrum will approach the spectral approach theorem for positive - definite kernel of integral equation

    對給定的樣本點,由樣本點為變的協差函數構成的矩陣,當樣本點個數趨于窮大時,證明此矩陣譜逼近於積分正定核的譜逼近定理。
  11. The feasibility of decomposition of transition firing sequence, the application of them in the detecting lfs and the reverse course of decomposition - synthesis are discussed. they provide theoretic basis for our algorithm in the field of petri net. supported by the above, two main part is included in the algorithm : at first, x is transacted according to the following method in order to get a set of xb named as basic vector of x which is the firing count vector of a directed path without circle if md is reached from m0 in the rg ( m0 )

    在變遷序列分解的指導思想下,我們的演算法主要通過以下兩步工作完成: ( 1 )首先對給出的已知條件中滿足狀態的n維非負整數向進行處理,得到一組x的基礎向x _ b ,使得在petri網的可達標識圖中,若存在一條由m _ o到m _ d的有向環路,則x _ b為這樣的路上變遷引發序列的發生數向
  12. Firstly, in order to treat the local weakened effect of the crack on the shaft, the equivalent line - spring model is built. then the constitutive equations are derived and the flexibility model of the rotating shaft is discussed. based on the lagrange equations, the non - linear dimensionless differential equations of the single rotor system with the disk and crack located at an arbitrary position of the shaft are obtained

    首先為處理裂紋對軸的局部削弱作用,提出了等效線彈簧模型,推導了線彈簧彈性本構關系,獲得了裂紋轉動軸的柔度模型,然後,應用lagrange建立了盤和裂紋處于軸任意位置的綱的單盤轉子系統的非線性運動控制微分
  13. Aiming at the study actuality of fan performance monitoring system and analysis of fan performance curve changes affected by inlet - box and the different fixed - angles of guide blades in the course of installation, a fan flow monitoring model based on rbfnn in whole flow zone was established in this thesis. in the model, the method of no throttle and fan performance curve were used as basis. and on the basis of that model, fan performance curves of 4 - 73no. 8d were approached with experimental data of different speed, different opening - angles of guide blade and different resistance of pipeline, the precision and the error law of model were studied

    本文針對電站風機性能監測系統研究較少的現狀,在實驗的基礎上分析了現場加裝進氣箱和由於安裝造成的導流器葉片開度不一致對風機性能曲線的影響,並在此基礎上採用節流法測,以風機調節性能曲線為依據,建立了基於徑向基函數( rbf )神經網路的風機流監測模型;以實驗室4 - 73no . 8d離心風機為研究對象,探討了rbf神經網路差壓模型在變轉速、變導流器開度和變管網阻力等工況下的應用精度和誤差分佈規律;最後用visualc + +語言開發了風機性能在線監測系統。
  14. The existed material fatigue performance test curves are dealt with and analyzed, and the non - dimensional stress - strain curve, tangent modulus factor curve and fatigue life curve are drawn based on the experiment data, and these three non - dimensional parameter curves are used to find the inherent rules that the test curves can be replaced each other to some extent. it can be concluded that if the common character and system error of these materials are found, the test curve of a certain material can be used for reference by another material. this is a simple approach about fatigue life estimate and is engineering practical

    對已有的材料力學疲勞性能試驗曲線進行分析整理,利用試驗數據繪制了相對應力應變曲線、切線模因子曲線和疲勞壽命曲線,利用這三種綱參數曲線發現了其中存在的規律性,即在某種度上實驗曲線可以互相取代,並用試驗數據對此進行了討論,並由此推斷,如果找出材料彼此的共性或彼此之間的系統誤差就可以將一種材料的試驗曲線供其它材料參考使用,這是一種估算材料的疲勞壽命的簡便法,對工而言具有實用性。
  15. According to non - newtonian fluid mechanics theory and mathematical method, conbined with plunger moving property, the hypothesize fluid is imcompressive, hydraulic radius of flow of liquid in crevice is very little, and it is laminar flow, the flow is treated fixed continuous flow at every instant position of plunger, equation of motion and boundary condition were set up in condition of concentric and eccentric of pump barrel and plunger

    運用非牛頓流體力學理論和數理法,結合抽油泵柱塞運動特點,假設液體為不可壓縮的,液體在縫隙中流動的水力半徑很小,呈層流流動,柱塞在每一位置的瞬間,流動做定常流處理,建立了泵筒與柱塞同心和偏心兩種情況下運動和邊界條件,引入綱坐標、綱速度和柱塞與泵筒偏心配合時的縫隙高度,並給出縫隙流流速、流的解析解。
  16. We practically applied the wnnd scheme to solve scalar conservation laws and euler system in one dimension and n - s equations in two and three dimensions. the numerical results of wnnd schemes indicated good shock transitions without any noticeable oscillations and uniformly high accuracy in smooth regions. the wnnd scheme could catch the detail o f the flow field more particularly

    本文應用wnnd格式數值模擬求解了一維標、一維歐拉、二維n ? s和三維n ? s,數值結果表明, wnnd格式在激波附近基本波動,且在解的光滑區保持空間的統一高階精度,較之nnd格式, wnnd格式能夠更高解析度的捕捉到流場細節。
  17. A new decoupling control strategy of magnetic suspension forces is put forward using the transformation of variables and reference frames for the proposed bearingless motor

    利用混合式轉子軸承電機的轉子特點,將磁懸浮力模型轉變為電流空間矢,提出了一種新的磁懸浮力解耦控制法。
  18. In the fourth chapter of the thesis, a study is made of the equation of interest rate - amount of circulating fund with infinite impulse disturbance in an open network. as far as linear and non - linear impulse disturbances are concerned, the conditions on which the system still remains stable under impulse disturbance and the conditions on which impulse disturbance leads to the changes of the stability of the system are discussed

    本文第四章研究了開放網路中具有限次脈沖擾動情形的利率?流通,對于線性以及非線性脈沖擾動,本章都給出了脈沖擾動下系統仍然保持穩定的條件以及脈沖擾動引起系統穩定性改變的條件。
  19. A general class of solutions to nonlinear scalar equations with static cylindrical symmetry is obtained in the form of a hyperbolic function series. these solutions can be used to describe a long. straight global string

    利用雙曲函數級數的技術,研究了靜態軸對稱非線性標的解析解.在物理上.這些解描述了限長的直整體弦
  20. Case 1 : when there is no relative measurement, each satellite uses its own on - board attitude sensors to determine its attitude, and exchange the information through the communication link between formation satellites, and then the relative attitude is determined through simple mathematical operation. case 2 : based on the range measurements of gps like sensors, using two - point measurement of the relative orbit state to establish relative orbit and attitude kinematics and measuring equations. and state estimation is achieved through the extended kalman filter technology and unscented kalman filter technology, respectively

    案一,在星間相對測時,由衛星自身攜帶的姿態敏感器實現單星高精度姿態確定,利用星間通信鏈路進行信息交互,通過簡單的數學計算獲得星間相對姿態;案二,利用類gps相對測,建立了編隊衛星相對軌道運動和相對姿態運動模型及相對距離測,推導了兩點相對軌道運動模型,設計了擴展卡爾曼濾波器及uscented卡爾曼濾波器,對相對位置、速度和姿態進行估計。
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