冪定律 的英文怎麼說
中文拼音 [mìdìnglǜ]
冪定律
英文
power law-
Given the initial conditions including ( 1 ) number density distribution in space which has the similar form to the present day ones, ( 2 ) both the power law and gaussian mass functions for clusters, and ( 3 ) two different velocity distributions which one has a constant dispersion and the other is described by the eddington formula, the dynamical evolution of globular clusters in our milky way galaxy is investigated in detail by means of monte carlo simulations
本文採用與觀測結果具有相同形式的球狀星團空間密度分佈函數，在給定兩種球狀星團系統的初始質量譜（冪律的和對數高斯的）和兩種球狀星團系統的初始速度分佈函數（愛丁頓速度分佈函數和常數的速度彌散度）條件下，我們採用montecarlo的方法對球狀星團系統的動力學演化進行討論。According to the principle of mutual transformation between potential energy and kinetic energy, the vertically falling law of power law fluid by the action of unconstant static pressure and the relation between rheological parameter and time were studied, thus providing a theoretical basis for calculating the rheological parameters of fluid in funnel viscometer
根據位能與動能的變化關系，作者研究了在非恆定靜壓作用下冪律流體垂直下落的規律及流變參數與時間的關系，從而為計算漏斗粘度計中流體的流變參數提供了理論依據。Fitting results of three non darcy seepage models including three - parameter model, power exponent model and two - section model were pretty good, and broken line model could be simplified to the forms of linear permeability model and darcy model
試驗與分析結果表明，三參數模型、冪指數模型和非線性分段模型這3種非達西滲流模型的擬合效果較好；折線滲流模型簡單實用，在特殊情況下可以簡化為線性滲流模型或達西定律。All the contents are developed around a set of scaling laws taking the form of exponentials which relate to almost all the issues of complexity including fractals, chaos, strange attractors, localization, and symmetry breaking, etc. the main work can be summarized as follows : starting from the law of allmetric growth three fractal dimensions in a broad sense are derived, and according to these dimensions, geographical space is divided into three levels, i. e., real space, phase space, and order space, each of which corresponds to a kind of dimension. based on the idea of spatial disaggregation and using the rmi ( relationship - mapping - reversion ) principle, the urban system is formulated as three scaling laws of the three spaces, including number law, size law, and area law, which can be transformed into a set of power laws such as allometric law and zipf ’ s law associated with fractal structure
從異速生長律的縱向、橫向和切向三個角度將地理空間劃分為實空間、相空間和序空間，分別對應于空間系列、時間序列和等級序列三個層面，每個層面的測度各有自己的空間維度。基於「空間循環細分-等級體系-網路結構」的數理等價關系，利用rmi （關系-映射-反演）原則，成功地實現了城市系統宏觀模型的理論抽象，將空間復雜性問題表徵為簡單的指數式標度定律（包括數量律、規模律和尺度律） ，這一組標度律可以與一組冪次定律（包括具有分形性質的規模-數目律、異速生長定律和三參數zipf定律）互為變換。Comparing with the current observations, which include the number density distribution in space, mass function, etc., the so - called standard modes for both the power law and gaussian cluster initial mass functions are selected among many runs of simulations. the deviation from the standard modes, which is resulted from the change of the parameter for the initial conditions, is discussed in detail. the discussion of the model parameters is also presented although they are adopted as the typical values based on previous work
對應一定的初始分佈我們發現無論是冪律的還是對數高斯的球狀星團初始質量譜經過長時間的動力學演化都會得到和現在銀河系觀測到的球狀星團系統相符的對數高斯的質量分佈；動力學演化會明顯地改變球狀星團系統的空間密度分佈，靠近銀心區域的球狀星團瓦解得更多；經過動力學演化后的球狀星團速度分佈函數在靠近銀心的區域明顯得不同於初始分佈，初始擁有較大軌道偏心率的球狀星團更容易瓦解。The scaling law is a power law if, and only if, a characteristic dimension is absent
2 、證明相似定律是依尺寸相似比的乘冪關系的規律。The study results show that the minimum ac flashover voltage decreases with the increase of the ice amount accreted on the insulator surface by an exponential law, and the down - trend of the minimum ac flashover voltage will slow gradually with the bridging of the shed of the insulators by icicles, both the average saturated ice amount and the special exponent m of effect of ice amount for different insulators depend on the radius of shed and the air - gaps of the sheds of the insulators, and that the ac ice flashover voltage decrease with the decrease pressure ratio p / p0 ( rise of the altitude ) by power - law for different esdd and icing - states when the altitude is from 4000m to 5500m. the special exponent n, which show the effects of altitude on the flashover voltage, is various with the type of insulator, icing - states and the surface status of iced insulator etc., and that the minimum ac flashover voltage of iced insulators decreases by power - law with esdd or the freezing water conductivity for different ice amount and atmospheric
研究結果表明：在不同海拔高度和等值鹽密esdd下，絕緣子的最低交流冰閃電壓均隨覆冰量的增加而呈指數規律降低；當覆冰量增加到一定程度后，最低交流冰閃電壓隨覆冰量增加而降低的趨勢趨于飽和；不同絕緣子串的平均飽和覆冰量及閃絡電壓的覆冰量影響特徵指數m均與絕緣子的盤徑和傘距等因素有關；在海拔4000 5500m之間，不同等值鹽密esdd和覆冰狀態下，絕緣子的交流冰閃電壓隨海拔高度的增加（氣壓的降低）與p / p0呈乘冪關系降低，氣壓影響特徵指數n與絕緣子類型、覆冰類型、覆冰表面狀況等因素有關；當覆冰量和氣壓一定時，絕緣子的最低冰閃電壓均隨著等值鹽密（ esdd ）或覆冰水電導率的增加而呈乘冪關系降低，並逐漸趨于飽和。In order to study the stability of non - newtonian fluid and its flow pattern discrimination method, the integral stability theory and local stability theory are applied to the concentric annulus flowing of plastic fluid and power - law fluid, then a relevant stability parameter expression of discriminating flow pattern is derived and set up in the paper
摘要針對非牛頓流體的穩定性問題及其流態判別的研究，將整體穩定性理論及局部穩定性理論應用於塑性流體和冪律流體在同心環空的流動中，建立和推導出相對應的判別流動狀態的穩定性參數表達式。Power function law
冪函數定律Moreover, the data processing method of accelerated life test is used to solve the problem of the reliability data conversion under different operating status to liquid rocket engine. and the counter power law model is introduced as the relation model between the characteristic life and the combustion chamber pressure, the accelerated life equation of the constant stress accelerated life test for the weibull distribution is obtained, through the accelerated life equation, the reliability estimate of different combustion chamber pressure is calculated
再次，採用加速壽命試驗的數據處理方法對液體火箭發動機不同工況下可靠性數據折算的問題進行了研究，引入逆冪律模型作為特徵壽命與燃燒室壓力之間的關系模型，得到了weibull分佈下恆定應力加速試驗的加速壽命方程，並通過加速壽命方程折算出不同室壓下的可靠度估計。The combined mathematical model of non - newtonian power - law fluids with low - velocity non - darcy flow in fractal reservoirs
分形油藏非牛頓冪律流體低速非達西不穩定滲流的組合數學模型Through adding a power integrator, a partial - state feedback law is constructed to solve the finite - time stabilization problem of the nonlinear systems
通過利用「加冪積分器」的方法構造出了一個部分狀態反饋控制律，解決了這類不確定非線性系統的有限時間鎮定問題。Along with r ka albert, we have used computer simulations and calculations to show that a growing network with preferential attachment will indeed become scale - free, with its distribution of nodes following a power law
艾伯特與我透過電腦模擬與計算出來的結果顯示：具有優先連結的特性並且持續成長的網路，確實會變成無尺度網路，而且其中節點的分佈將符合冪次定律。First, briefly stated the reliability research developing history and current situation at home and abroad, the reliability test method and developing trends, then statistical analysis method and existing problems, and electrical connector reliability research ' s current situation and existing problems, i second, through analyzing the failure mechanism of electrical connector, and combining with the theory of probability and statistics, set up a reliability statistical model of electrical connector affected upon vibration stress, which is the anti - power law - weibull model, laid a foundation for working out electrical connector reliability test plans and treating electrical connector test data
首先，對國內外可靠性研究的發展歷史和現狀，可靠性試驗的方法和發展趨勢，可靠性統計分析方法和存在的問題，以及航天電連接器可靠性研究的現狀和存在的問題進行了回顧和評述。其次，通過對電連接器進行失效機理的研究分析，結合概率統計理論，建立了電連接器在振動應力作用下的可靠性統計模型，即逆冪律?威布爾模型，為電連接器可靠性試驗方案的制定和試驗數據的統計分析奠定了基礎。And combining with the theory of probability and statistics, set up a reliability statistical model of electrical connectors affected on vibration stress, that is reverse power law ? eibull model, laid a foundation for working out electrical connector reliability test plans and treating electrical connectors test data
進一步結合概率統計理論，建立了電連接器在振動應力作用下的可靠性統計模型，即逆冪律?威布爾模型，為電連接器可靠性試驗方案的制定和試驗數據的統計分析奠定了基礎。分享友人