gradient equation 中文意思是什麼

gradient equation 解釋
梯度方程
  • gradient : adj. 1. 傾斜的。2. 【動物；動物學】步行的，能步行的。n. 1. 〈英國〉（道路的）傾斜度，坡度，坡路。2. 【物理學】梯度，陡度，（溫度、氣壓等的）變化率，梯度變化曲線。
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. 2. dynamic meteorology : equations of motion ; geostrophic, ageostrophic and gradient winds ; thickness and thermal wind ; continuity equation ; stream function ; vorticity equation ; divergence equation ; omega equation ; rossby wave ; ekman layer ; numerical weather prediction

    2 .動力氣象學：運動方程地轉風非地轉風及梯度風厚度及熱成風連續方程流函數渦度方程輻散方程奧米茄方程羅斯貝波埃克曼層數值天氣預報。
  2. The numerical algorithm of solving the adjoint equations for different design cases have been developed by using finite volume methodology which is usually used to solve the flow governed equation. it includes the some important aspects, such as flux formulation, wall and far - field boundary treatment methodology, dissipative term formulation, etc. after the solution of the adjoint equations is obtained, the derivatives of the cost function with respect to all the design variables can be evaluated with the same operation. this can yields a significant saving over the other gradient - based techniques when there are many design variables

    （ 3 ）進行了應用控制理論和三維歐拉方程的機翼氣動反設計研究，以及有升力約束情形下機翼跨音速減阻問題研究，分別推導了相應的共軛方程及邊界條件數學表達形式，研究與發展了三維共軛方程的有限體積數值求解方法，及相應梯度公式的數值求解方法，通過對計算網格生成、流場計算、共軛方程數值求解、梯度求解和優化演算法等多方面的有效結合，成功發展了三維機翼的氣動反設計和跨音速減阻優化設計程序，成功地進行了多個設計算例研究。
  3. By means of c - language, the paper has developed a large - scale computer program, in which the combination of both the newton iteration and the gradient method is introduced to solve reynolds equation and film thickness equation, and the march method is used to solve the energy equation and heat interface equations, the satisfactory results are obtained

    本文採用c語言編制了大型計算機程序進行數值計算，數值計算中採用梯度-牛頓聯合法求解reynolds方程和油膜厚度方程，採用步進法求解能量方程和熱界面方程，獲得了滿意的數值結果。
  4. Extinction of solutions for the nonlinear doubly degenerate parabolic equation with a gradient term

    帶梯度項的非線性雙重退縮拋物方程解的耗竭
  5. Without grids, the interaction effect among neighboring particles can be simulated by means of the kernel function, based on which the governing equation is discretized by establishing the smoothing model, the gradient model and the second - derivative model ( i. e. the laplacian model )

    在無網格條件下，粒子間的相互作用通過核子函數來表示，並通過建立物理量光滑模型、梯度模型和二階導數模型來離散控制方程。
  6. The treatments simplifies greatly the solution programs which are often performed to solving non - homogeneous equation and second order differential equation on the thermal equilibrium and gradient relationship and the workload of numerical computation at same time

    這類方法大大簡化了人們在分析壓電熱彈性體耦合問題時通常要求解的非齊次微分方程和關于溫度的平衡方程和導熱方程的二階微分方程的繁瑣方法，同時，齊次狀態方程的提出大大減少了數值計算的工作量。
  7. It is including the structure of neurons, the distribution of ions concentration in or out of the neuron membrane, the electrochemical gradient of ions, the equilibrium potential, the resting potential and action potential of neuron, the ion theory of the transmembrane potential and the hodgkin - huxley ( hh ) equation

    包括神經元的結構，神經元細胞膜兩邊離子濃度的分佈，離子的電化學梯度和平衡電位，神經元的靜息電位，動作電位，描述神經元膜兩邊電壓變化的離子學說以及hodgkin - huxley方程。
  8. In the course of modeling, we present multi - step generalized gradient method and multi - stage curve fitting technique, prove convergence of multi - step generalized gradient method by using differential equation stable theory, analyze the error of multi - stage curve fitting technique by using inner space, creat knowledge base of water network system by using the maximum subordinate principle of and near - select principle of pattern recognition. at last we make the optimal running scheme of water network system based on heuristic search technique of artificial intelligence and global feedback immediate coordination method of large scale system theory

    在建立系統模型的過程中，提出了多步廣義梯度法和多層曲線擬合的建模方法，並用微分方程穩定性理論證明了多步廣度梯度法收斂性，用內積空間的有關知識對多層曲線擬合進行誤差分析;應用模糊數學中的最大隸屬度原則和模糊識別中的擇近原則和人工智慧中狀態空間表示法建立注水系統的知識庫;用人工智慧中的啟發式搜索技術和大系統理論中的具有全局反饋的直接協調法制定注水系統的優化運行方案。
  9. ( 2 ) on the basis of continuity equation, momentum conservation equation, energy conservation equation, and substantial equation, coupled thm governing equations are derivated with giving up the assumption of local thermal equilibrium, adopting thermal elasto - plastic constitutive relation, taking the effect of temperature gradient on groundwater seepage ( analogous to soret diffusion ) and the effect of viscous dissipation of groundwater on temperature field of rock mass into account

    （ 2 ）根據連續性方程、線動量平衡方程和能量守恆方程以及相應的物性方程推導了飽和巖體溫度場-滲流場-變形場三場耦合作用控制方程組。在推導控制方程組時舍棄了「局部熱平衡」假設，採用了熱彈塑性本構關系，考慮了溫度梯度對地下水滲流的影響（類soret效應）以及地下水的粘性耗散對巖體溫度場的影響。
  10. The equation is y = a ebx, the interrelated coefficients are all larger than 0. 95 ; when the rainfalls are close, the volume of the surface runoff increases with the intensity of rainfall and the volume of the surface runoff is remarkable related with the maximum rain intensities of 30 minutes ; with the effect on rain harvesting acreage, the cover rate of the plants, the gradient, and the average soil thickness, the cover rate of the plants and the average soil thickness are the important factors which can affect the volume of rain harvesting. and the average soil thickness is the dominant factor. in order to get good result, we must choice the slope which the cover rate of the plants is low and the average soil thickness is thin, meanwhile increase the rain - harvesting acreage

    太行山片麻巖區坡面集雨規律及集雨技術：集雨量與降雨量呈顯著正相關，並且在降雨量大於17 . 6mm時，集雨量隨降雨量的增加呈指數形式增加，擬合方程為y = ae ~ （ bx ） ，相關系數均大於0 . 95 ；降雨量相近的條件下，徑流量隨降雨強度的增大而增大，且在片麻巖山地， 30min最大雨強是影響產流的關鍵因子；在集雨面積、植被覆蓋度、坡度以及平均土層厚度等因素的共同影響下，植被覆蓋度和平均土層厚度是影響集雨量多少的主要因素，其中平均土層厚度是主導因素；而要想取得良好的集雨效果，必須在選擇植被覆蓋度低、坡面土層厚度薄的坡面的同時，加大集雨面積。
  11. Gradient estimate of a class of elliptic equation in nondivergence structure

    一類非散度型橢圓方程解的梯度估計
  12. If the soil water content is gradually added from very little value, the value of water content gradient resulted from temperature gradient first is lower, then bigger and finally lower. based on the test data, a linear regression equation about temperature and water content is got. after deciding the temperature and moisture distribution of the soil samples, the problem of coupled thermal and moisture is discussed, the temperature distributions show that the heat - conducting coefficient is related to the density and water content

    由溫度場的分佈可以得到：在溫度梯度的作用下，導熱系數是變化的，而導熱系數沿長度方向的變化，使得穩態溫度場沿長度方向成非線性分佈；密實度對溫度場分佈的影響是干密度越大導熱系數越大；初始含水量對溫度場分佈的影響是含水量增大，導熱系數也增大，達到最大值后，含水量增加導熱系數反而減少，含水量對溫度場的分佈有顯著的影響。
  13. A developed simple m - s model for image segmentation in geometric active contour model is presented based on intra - region similar and inter - region dissimilar properties. the model constructs an energy ( cost ) function, which is made of intra - region variations and weighting squares of subtraction of region mean values. using gradient - descent methods, the energy function is minimized and we get a curve evolution equation that segments image

    基於區域內一致性加權區域間差異性構造能量函數，利用最陡梯度法使能量函數最小化，提出了一種改進的簡化mumford - shah （ m - s ）圖像分割模型，該模型利用區域內方差描述區域內一致性，區域間平均灰度值之差的平方描述區域間差異性，實驗結果表明，通過調節加權系數，該模型對弱邊界圖像分割具有較強的適應性。
  14. Moreover, there are good fitted power function relationship between thermal conductivity and soil water content, soil water suction and salt concentration. meanwhile, based on the measured data of soil water content and soil temperature distribution under temperature - controlled conditions, according to philip ' s empirical equation, through difference method, the water diffusivity under temperature gradient was calculated, which can be expressed as a power function of temperature

    此外，研究表明，導熱率與土壤含水率、土壤水吸力、含鹽濃度之間均存在良好的冪函數關系；在取得一定溫控條件下的土壤水分與溫度分佈實測資料的基礎上，根據philip經驗方程，通過差分法計算得出溫差作用下的水分擴散率，該參數可表示為溫度的冪函數形式。
  15. The effective optimization design programs for different cases are developed by integrating the following several aspects which involves the flow analysis, adjoint equation solution, gradient solution, optimal arithmetic and grid generation. some practical design tests for airfoil and wing show that the continuous adjoint approach is very effective and useful method for aerodynamic optimization design. at the same time, we have done the research of aerodynamic optimum design for airfoils by using navier - stokes equations

    （ 4 ）研究了基於控制理論和三維navier一stokes方程的優化設計理論，在計算坐標下詳細推導了該優化設計理論，得到了計算坐標系下描述的共扼方程數學描述形式，並以給定目標壓力分佈的氣動反設計為例，導出了相應的共扼方程邊界條件，以及關鍵的梯度求解具體表達形式，為了求解方便，把計算空間上描述共扼方程表達形式變換到物理空間中進行描述，通過與ns方程表達形式對比分析，最終給出了一種直觀的共轆方程表達方式。
  16. If the two - equation turbulence models employ a linear relationship between the reynolds stress and the mean strain - rate tensors, this relationship is known as the generalized boussinesq model, the two - equation models can be extended for a wider range of applicability by developing more advanced nonlinear algebraic relations between the stress tensor and the mean - velocity gradient and the turbulent scales, this is known as explicit algebraic stress models ( easm )

    另一個是構成模型，即決定應力張量、應變率張量和兩個湍流尺度因子之間的函數關系式，它決定了雷諾應力。如果構成模型是線性的，則為boussinesq渦粘模型（ evm ） ，如果構成模型是非線性的代數關系式，則為顯式代數應力模型（ easm ） 。
  17. According to the filter matrix particularity, the filter equation was solved by using conjugate gradient method

    並根據濾波矩陣的特殊性， ?用共軛梯度法求解濾波方程。
  18. This paper gives the general kinetics equation as well as the critical shear stress value ( or the critical press gradient value ) when the chain structure breaks down, and the method to get the structure relaxation time in the " structure capture particle " process

    給出了電流變響應過程的一般動力學控制方程以及鏈崩潰時臨界的剪切應力值（壓力梯度值） ，及俘獲粒子過程中有關結構弛豫時間的求法。
  19. Through the analysis of attitude dynamic equation, how to realize three axis passivity stabilization of the mircrosatellite by just using environmental torque is presented. three sorts conformations of three axis passivity stabilization of the mircrosatellite by using environmental torque are put forward, one is to realize the passive attitude control of microsatellite by using the aerodynamic moment and the gravity gradient, the other two by making use of the gravity gradient and the geomagnetic moment, the attitude dynamics of microsatellite of the three sorts are analysed in detail

    通過對衛星姿態動力學方程分析，給出如何利用環境力矩實現微小衛星三軸姿態被動穩定，並提出三種利用環境力矩實現微小衛星三軸姿態被動穩定方案，即一種利用氣動力矩和重力梯度實現微小衛星三軸姿態被動穩定方案和兩種利用重力梯度和地磁力矩實現微小衛星三軸姿態被動穩定方案，對採用這三種方案的衛星的姿態運動進行詳細分國防科技大學研究生院學位論文析。
  20. The demarcation point of, which is the parameter in erf ' s yield stress equation, is 2. 0. for, the dynamic characteristics of the clutch are remarkably different from those for. thirdly, the linear stability of plane shearing flow with non zero pressure gradient is studied

    論文第三部分對電流變液非零壓力梯度平板剪切流動的穩定性進行了分析，提出流場對屈服應力達到飽和的概念；並得出平板壁面剪切運動以及電流變液屈服應力的提高，都將使流動穩定性增強的結論。
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