維數公式 的英文怎麼說
中文拼音 [wéishǔgōngshì]
維數公式
英文
dimensional formula-
The double - base teaching is one of traditional features in the mathematics " education in our country, which focuses on how to cultivate the students " inquiry ability in the daily teaching. first of all, from the beginning of the double - base teaching, we pay attention to the original knowledge during the teaching of concepts, definitions, theorems and formulas. in the case of exercising lessons, we conclude, summarize and train the student ' s emanative ideations
重視雙基教學是我國中學數學教學的傳統特色，在日常教學中培養學生的探究能力，應首先從雙基教學開始：在概念、定義、定理、公式的教學中注重知識的起源；在例習題教學中，注重歸納、小結及訓練學生的發散思維能力；在復習課的教學中注重各知識的相互聯系；其次，由於數學開放題具有良好的探究功能，因此，在日常教學中適當創設數學開放題，也是培養學生探究能力的一個重要途徑。In this paper, the viscosity changes of hydroxy ethyl cellulose sol caused by a kind of mixed salt were studied, which provided valuable basic data and an adapting equation for its practical application
摘要研究了一種混合鹽的存在使羥乙基纖維素溶膠粘度變化的情況，為其實際應用提供了有價值的基礎數據和擬合公式。Modeling : this thesis develops a method different from traditional techniques that begins with the cylindrical projection of a generic model and its seamless global texture map using multiresolution technique, and then automatically fit the unwrapped cylindrical projected mesh to the texture map with an improved algorithm that based on 2d morphing to specify corresponding feature points ( or lines ). finally, we propose a formula of inverse cylindrical projection to recompose the deformed mesh, and after the texture mapping a photo - realistic individual facial model is created
採用多解析度技術構造紋理無縫拼接圖，然後把三維網格模型投影到圓柱面上並展開，根據二維圖象變形技術中特徵點匹配演算法的數學思想，將匹配公式進行改進后應用於模型網格點的適配，在作了一定假設后推導出逆向圓柱映射的計算公式，再將適配后的柱面網格映射回去，最後進行紋理映射生成真實感的特定人臉的三維模型。Based on the theories described above, calculation formula of general dimension of least square measure and multi - fractal fault diagnosis and analysis system have been established with borland c + + builder 5. 0, and checked by pure sinusoidal and cosine signal and sinusoidal signal with noise, and verified by the examples
基於上述原理，建立了最小二乘法的廣義維數計算公式，用borlandc + + builder5 . 0編制了以廣義維數計算分析為基礎的多重分形故障診斷系統，並對標準的正弦信號、餘弦信號及帶有噪聲的正弦信號進行了驗證。The value of correction coefficient of kinetic energy increases as a result. the water surface profiles of flume experiments are computed by three different methods : adjusting the local head loss coefficient, deduction of backwater area, and application of backwater expression
隨后結合實測水位資料，通過採用調整局部水頭損失系數、扣除回水面積以及壅水公式等不同的水面曲線計算方法對實驗水槽一維水面曲線進行計算。This paper is an academic thesis about remote sensing information model and geographical mathematics. the author have studied a lot of remote sensing information models and geographical image information models. according to geographical regularity the author advance non - linear mathematics method which is geographical complex phenomena both of certainty and uncertainty to combine in an equation. that is from formal logic inferring to dialectical logic calculation. moreover, it is from abstract thinking to both of abstract and visualized thinking, which is image joining equation calculated. make a suggestion that the geographical parameters are different from the physics variables. thus initiate based on geographical science for mathematics. there are 4 parts as follows in this paper : the regularity of geographical phenomena ; general equation of remote sensing information model ; geographical parameters and geographical indexes ; significance of geographical image information models
從大量的遙感信息模型，地理圖像信息模型的實踐中，提出符合地理科學自身規律的非線性數學方法，解決了確定性與不確定性結合的宏觀復雜性問題。從形式邏輯推理發展到辯證邏輯的計算，從抽象公式的計算發展到抽象思維與形象思維結合的公式與圖像結合的計算。提出了物理變量與地理參數的區別，從而開創了以地理科學為背景的數學研究，進而為發展地理數學奠定了基礎。In this thesis, the technology of visual fictitous design was used to design the level exchanged direction and double direction plough. first, the traction force formula of cylindrical plough face based on the prior study was deduced, and the forces of the solid model of circumrotatory pin was calculated, and visual dummy design technology was applied to analyse the force of circumrotatory pin and the parameter of pin
其次在前人研究的基礎上推導出圓柱型犁體曲面的牽引阻力公式；根據該公式計算出旋轉銷三維實體模型所受的力，根據該力運用可視化虛擬設計技術對模型進行受力分析，對旋轉銷的參數進行合理設計；根據牽引阻力公式計算出安全螺栓所受的力，根據該力運用虛擬設計技術對安全機構進行設計。In the paper, a special class of quasidifferentiable functions - subsuper differentiable functions is introduced, which satisfies the conditions of the existence of high dimensional kernels, and the formula of kernels is deduced
摘要引入了一個特殊的擬可微函數類一次超可微函數，證明了其滿足具有高維核的條件，並且推導出了高維核的計算公式。Based on plane section assumption, this paper presents the methods of calculating the ultimate strength of the columns strengthened with cfrp, and makes a simplification of the methods. a fortran program on nonlinear method is presented to numerically analyze the characteristics of large eccentrically loaded columns strengthened by longitudinal straps of cfrp, calculating results compare well with experimental data
本文在平截面假定的基礎上分別推導了碳纖維布縱向粘貼大偏心受壓柱的正截面承載力校核和截面加固基本計算公式，並對公式進行了相應的簡化；運用fortran語言編制相應程序對縱向粘貼碳纖維布大偏壓柱進行了數值分析，本文公式計算結果和程序計算結果均與試驗結果吻合良好。As to the simulation, three - dimensional n - s equations and two - phase flow model, in which the liquid toluene spray as discrete particles was considered, were employed to describe the turbulent combustion processes in the combustion chamber. the mass and energy transfer between the two phases were calculated by the droplet evaporation model, and the arrehnius model was used to obtain the gas chemical reaction rate. the details of 3d flow field, the distributions of temperature and compounds were obtained by solving the equations
數值模擬方面，應用三維湍流n - s方程以及顆粒軌道模型描述了激光器燃燒室內部的噴霧兩相燃燒流動過程，兩相之間的質量、能量交換由液滴蒸發模型計算，氣相化學反應速率由arrhnius公式計算，通過耦合求解氣液兩相模型方程，模擬了燃燒室三維流場，得到了燃燒室內的溫度和組分濃度分佈。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。Though adopting the - coordinate transformation in the control equations and mode - splitting technique, the external mode ( surface gravity waves ) is solved by the improved double - sweep - implicit finite difference method ; the internal mode ( internal gravity waves ) untilizes the eulerian - lagrangian method, which improves the implicit - difference scheme for the vertical direction. the newly developed 3d numerical tidal model with implicit scheme has been successfully applied in the radial sandbanks area
基於過程分裂法及垂向坐標伸縮變換，外模式採用改進型雙步全隱有限差分dsi法，內模式採用歐拉?拉格朗日公式，改進了三維垂向隱式格式，成功地建立了南黃海輻射狀沙脊群海域三維全隱格式潮流數學模型。Abstract : thermally induced stress and the relevant warpage cause by inappropriate mold design and processing conditions are problems that confounded the overall success of injection molding. a thermorheologically simple thermoviscoelastic two - dimension material model is used to simulate the residual stress and warpage within injection molded parts generated during the cooling stage of the injection molding cycle. the initial temperature field corresponds to the end of the filling stage. the fully time - dependent algorithm is based on the calculation of the elastic response at every time step. numerical results are discussed with respect to temperature and pressure
文摘:不均勻的熱殘余應力及其變形是注塑成型加工中常見的工程問題之一.應用熱流變簡單材料的二維熱粘彈本構方程得到的遞推公式，數值模擬了成型中的熱殘余應力及其翹曲變形，並用數值實驗討論了溫度、壓力對注塑件殘余應力及變形的影響，發現溫度變化不均勻是注塑件翹曲變形的最主要原因，其影響遠大於壓力的作用，與工程實驗的結論一致The subject of this thesis is to study ironless moving coil linear permanent magnet synchronous motor and the major works in this thesis are summarized as follows : 1 ) two analytical formulas are derived by concentrated current method and distributed current method to determine the magnetic field due to pm, based on the current model of pm. besides, two method ( magnetic charge method and solution by laplace equation method ) are also introduced with comparing their advantages and disadvantages. then the effects of the motor parameters on the flux distribution are discussed
本文對空芯動圈式直線同步電動機進行了深入細致的研究，內容包括： （ 1 ）採用電流模型推導出兩種計算永磁磁極二維氣隙磁場的解析公式（集中電流法、分佈電流法） ，同時介紹了兩種永磁電機氣隙磁場計算方法（磁荷法，直接求解拉氏方程法） ，分析各種方法的優缺點，討論電機參數對氣隙磁密的影響； （ 2 ）介紹了單層同心繞組的布置方式，根據安培定律推導出空芯動圈式直線永磁同步電動機的靜推力計算公式，分析靜態力?位移特性； （ 3 ）建立空芯動圈式直線永磁同步電動機動態模擬模型，模擬不同驅動方式下電動機起動、穩態運行時電磁力、速度、位移的變化情況。Creative points and all tasks having be finished are briefly shown below : according to the classical space meshing theory, we have strictly deduced a series of formulae such as the equation of contacting line of worm, the equation of the second limiting curve of worm gear, and the equation of working surface and non - working surface, etc. and we have deeply studied the algorism of the actual contacting lines of worm gear drive
本文的主要創新點和成果如下：基於經典共軛嚙合理論，對平面二包蝸桿副的運動關系進行了嚴密分析，獲得了蝸桿副齒面方程、蝸桿齒面一界曲線方程、蝸輪齒面二界曲線方程等一系列齒面分析所必須的數學公式，並深入研究了蝸桿副齒面接觸線的演算法，為蝸桿副的三維數字化造型打下了堅實的數學基礎。Section 4 presents the duality typeset by of these modules. in section 5 we proves the simplicity of these modules
第二，我們證明這類模的單性並得到它們的維數公式。Abstract : in this paper, fractal theory is applied in the loss faulting of concrete. the dimension formula of loss faulting volume is probed and calculated
文摘:將分形理論應用於混凝土損傷斷裂，討論了損傷斷裂面的維數公式並進行了實際計算Based on the analysis of gas - solid multiphase catalytic reaction, the chemical reaction model is established. when the reaction is controlled by the chemical dynamic, the reaction rate is introduced by consideration of the adsorption and desorption effects. when the reaction is controlled by mass transfer, the diffusion coefficient is established which can present the flow rate increases in small reynolds domain ; for the internal diffusion, the internal diffusion coefficient is derived, and then the internal diffusion is coupled with chemical reaction to represent the phenomenon that the diffusion and the chemical reaction occur cocurrently
本文在考慮催化轉化器載體內發生的傳熱傳質現象的基礎上，建立了催化轉化器的一維單孔道和三維多孔道傳熱傳質模型;在分析載體內以氣-固多相催化反應為特點的工作機理的基礎上，建立了催化轉化器的化學反應模型:當催化轉化處于化學動力學控制區時，引入了考慮吸附、表面反應和脫附的表面化學反應速率公式，當催化轉化處于質量輸運控制區時，引入了決定外擴散能力的擴散系數公式和和決定內擴散速率的內擴散系數公式，並與化學反應速率相耦合，得出由擴散過程決定的化學反應速率公式。By introduction of derivative rule, derivative formula can be found ; through defining multi - dimension function space and reorganizing the function rules, the inaccuracy rules, and the end rules, the scope of formula finding is broadened ; by introduction of three - dimension expand rule and multidimensional expand rule, multi - dimension formulas can be discovered ; through improvement of flow of algorithm, more complete traverse has been achieved
通過引入導數規則，可以發現導數公式；通過定義函數空間，重新組織函數規則，誤差規則，終止規則等知識，擴大了公式發現的廣度；引入多維擴展規則，可以發現多維函數公式；針對公式發現流程進行了改進，使得對搜索樹的遍歷更加完備。At last, by using the factorization properties of cyclotomic polynmials on finite fields and the construction characteristic of cyclic codes, we present the relation of the period distribution of cyclic codes and the period distribution of their dual codes, establish the explicit formula for the number of the codewords without inner - period of the cyclic codes and their dual codes, find the method for computing the dimension and the period distribution of narrow - sense primitive bch codes, and study the inverse question of period distribution of cyclic codes
最後，利用有限域上分圓多項式的分解特性和循環碼的構造特點，揭示了循環碼的周期分佈與其對偶碼周期分佈之間的內在聯系，確定了一般循環碼及其對偶碼內無內周期碼字的精確計數公式，決定了狹義本原bch碼的維數與周期分佈，討論了循環碼周期分佈的反問題。分享友人