次法線積分 的英文怎麼說
中文拼音 [cìfǎxiànjīfēn]
次法線積分
英文
subnormal integral- 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...
- 法 : Ⅰ名詞1 (由國家制定或認可的行為規則的總稱) law 2 (方法; 方式) way; method; mode; means 3 (標...
- 線 : 名詞1 (用絲、棉、金屬等製成的細長的東西) thread; string; wire 2 [數學] (一個點任意移動所構成的...
- 積 : Ⅰ動詞(積累) amass; store up; accumulate Ⅱ形容詞(長時間積累下來的) long standing; long pending...
- 分 : 分Ⅰ名詞1. (成分) component 2. (職責和權利的限度) what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] (料想) judge
- 積分 : 1. [數學] integral; integrate; integration 2. [體育] (積累的分數) accumulate points
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A method to calculate quantitatively the adsorption volume or adsorption space of per mass of adsorbent derived from both the adsorbed molecule volume and the maximum adsorbance of a solute in an adsorption isotherm under a given experimential condition is presented firstly for a solid / liquid adsorption system of the solute in a dilute aqueous solution. this method is suitable for not only mono - layer adsorption, but also mani - layer adsorption and micelle adsorpion of surfactant constructed by hydrophile and lipophile groups. therefore, the surface concentration of the adsorbate, cs, deduced from the adsorption volume is possessed of the meaning of true concentration, and the value of the patition coefficient of the adsorbate between solid and liquid phass, p, attained by the cs and the c, solution concentration of the adsorbate, can be accurate. the foregoing a set of calculations are presented for the solid - liquid adsorption systems consisted of the wool fiber and separately dodecyltrimethyl - ammonium bromide ( dtab ) and hexadecyltrimethyl - ammonium bromide ( ctab ) in this paper. this provides a strong basis for adsorption thermodynamic investigation of adsorbate
對稀溶液中溶質的固/液吸附體系,首次提出了根據吸附分子體積和實驗條件下吸附等溫線中的最大吸附量計算單位質量吸附劑的吸附體積或吸附空間的方法.此法適用於單層吸附,也適用於多層吸附和具有親水親油結構的表面活性劑分子的膠團吸附.由此,吸附質的表面相濃度cs具有真實濃度的含義,相應地,計算得到的溶質的固/液分配系數p就有了準確值.分別計算由溴代十二烷基三甲銨( dtab )和溴代十六烷基三甲銨( ctab )與羊毛纖維構成的液/固體系分配系數等,為溶質吸附的熱力學研究奠定了基礎Presents a new method for fairing of curves which has a small flexibility based on fitting the derivative of second order of curves. we fit the derivative of second order of curves by a polynomial fitting, then find an indefinite integral of this polynomial to get a approach of curves. otherwise, we discuss the analyze of the error and the optimize of fairing to this arithmetic
提出了一種針對小撓度曲線的逆向曲線光順演算法,該演算法直接擬合曲線型值點列的二階導數曲線,然後通過兩次積分來反求出光順后的曲線,並對該演算法的誤差分析、效果分析、光順優化等問題進行了深入探討。The primary advantage that elliptic curve systems have over systems based on the multiplicative group of a finite field ( and also over systems based on the intractability of integer factorization ) is the absence of a subexponential - time algorithm ( such as those of index calculus type ) that could find discrete logs in these groups
與基於有限域的乘法群系統(及基於整數分解的難解性之上的系統)相比,橢圓曲線系統的優勢在於,迄今為止還沒找到這類群上離散對數的次指數時間演算法(如微積分類)Theory of getting inertial angular position from linear accelerometer measurements with double integration algorithm is analyzed
分析了使用線加速度計測量慣性角加速度,通過二次積分演算法得到慣性姿態角的原理。Pass the interlace series type linear differential equation that coefficient contains power function and arrangement number change into the linear differential equation of successive integral, have found out the theory and method that begs this kind of equation to know to untie. theorem have happened have given strict proof, and through example, have introduced it ' s application
摘要通過把系數含有冪函數與排列數的交錯級數型線性微分方程化為可逐次積分的線性微分方程,找出了求這類方程通解的方法與理論,把所得定理給出了嚴格的證明,並通過實例介紹了它的應用。( 4 ) we prove that shapes of ellipses obtained from the leading binomial of [ p are independent of the decomposing methods, and two ellipse equations removing their constants satisfy the same relation of transformation as two [ p curves under the perspective transformation
( 4 )證明了隱含多項式分解的首二次因子積所對應橢圓曲線的形狀與分解的方摘要法無關。如果兩條隱含多項式曲線滿足透射變換關系,那麼它們首二次因子積中的橢圓曲線方程去除常數項后也滿足這種變換關系。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。In order to improve the numerical solution of coupled equation to the dam - reservoir interaction system, the high - precise integration is generalized from linear problem to the nonlinear one. this work promoted the development of high - precise integration applied to the coupled system of fluid - solid
本文首次將非齊次精細積分方法從線性荷載的特殊情況,推廣到普遍情況,並導出了具體實用的分析方法,有力的推動了流固耦合及動力系統瞬態反應的高精度求解方法的新發展。A new step - by - step integral procedure of dynamics equations is presented. the general expression of the solution of dynamics equations is obtained on the basis of the homogenous analytical solutions of dynamics equations and duhamel integration. the explicit analytical integration algorithm, which is characterized by fourth - order accuracy, self - starting and self - correcting, is employed to discretize the equivalent load terms
另外提出了求解動力學方程的一個新型的逐步積分法,基於線性動力學方程的解析齊次解及duhamel積分,構造出適用於非線性動力學方程解的一般積分表達式,對包含非線性項的非齊次項採用插值近似的方法,得到一個單步顯式、自起步、預測校正具有四階精度的解析逐步積分演算法。As a result of the require of cagd in airplane, automobile shipping and electrical appliance etc, fairing of curves and surfaces has become the hot subject in all over the world. this paper presents a new method for fairing of curves based on fitting the derivative of second order of curves. several practicality examples has been given to show the advantage of this arithmetic
本文針對目前曲線光順演算法存在的問題,提出了一種採用最小二乘法來擬合曲線型值點列的二階導數曲線,然後通過兩次積分來反求光順曲線思想的曲線光順演算法,並給出了實際的算例來說明本文演算法的優越性。The concept of viffoal laser frequency stabilizaion is put fowi. the frequency stabilizaion at the center of doppler curve has been realized aller signal detecting, phase sensitive detecting, integrating and high voltage amplifying circuits with fm spectroscopy a frequency stability of l0 -, has been obtained with a reproducibility of l0 - 9. hyperfine spectra of, ', i, near 532nm have been studied via modul8tion tfansfer spectroscopy
利用fm光譜法將激光單次通過碘吸收室進行線性吸收,再經信號檢測、混頻、積分和高壓放大等伺服電路,實現了在多普勒曲線中心處的頻率穩定,頻率穩定度和復現性可達10 ~ ( - 9 )量級。Incremental length diffraction coefficients ( ildc ) is adopted to calculate the contribution of edge diffraction. in order to improve the accuracy of calculation, multi - scattering is discussed, based on the two former contributions and ray - tracing method. geometrical optics ( go ) and physical optics ( po ) are used to calculate the multi - reflection between facets and facets
對于鏡面反射採用物理光學法計算其散射貢獻,結合基於面元的目標模型的表示,採用離散的積分形式,將面電流積分化簡為線積分,簡化計算復雜度;對于邊緣繞射,運用增量長度繞射系數理論計算目標邊緣繞射場;在多次反射中,則以光線跟蹤方法為基礎,採用幾何光學、物理光學相結合的方法分析考慮多次散射場。The way to eliminate chaos phenomenon through adjusting system parameters is indicated. the nonlinear dynamic behavior of journal bearing - rotor system in large parameter space is studied in numerical integral method and floquet theory and the first and second bifurcation behavior of nonlinear rotor system are discussed ; the concept is advanced that realizing the controllable nonlinear stiffness with sfd with the soft - nonlinear of sma in the super - elasticity state to make the vibration amplitude of system always be in the small solution state to reduce the vibration amplitude of rotor system
運用數值積分方法結合floquet理論對滑動軸承-轉子系統的大參數范圍非線性動力學特性進行了全面的研究,詳細地討論了系統的一次和二次分岔行為; 5 )提出了用形狀記憶合金在超彈性狀態下的軟非線性,結合擠壓油膜阻尼器實現系統剛性的非線性可控,降低系統在非定常狀態下的最大振幅的構想。First according to the fact that tangential components of the evolution do not affect the geometric shape of the evolving curves, we introduce the evolution equation of geometric quantities for the general planar curves. then we describe the work of gage - hamilton briefly. last we consider a special curvature flow of curve which evolves with speed function of the principal curvatures along the inner norm and show that convexity of the curve is kept and its length and area are contracted if the initial closed curve is smooth and convex. so the final shape of the curve will be a point in finite time
首先根據曲線在切向分量上發展是不影響曲線的發展形狀,我們引入了曲線的一些幾何變量的發展方程;其次我們簡要地回顧gage - hamilton研究曲線發展的一般步驟;最後我們考慮沿曲線的內法線以曲率的函數為發展速度的一類特殊的曲線族,證明了在初始曲線為凸的閉平面簡單曲線條件下,曲線將保持凸的,並且它的面積和周長將同時收縮,並在有限時間內成為一個點。The principles of filtering, wavelet - denoise and integral algorithms to pick up the tilting pulse ( filtering - delay - compensation signal ) are discussed. especially, a " high - in & low - out " method is presented to determine the thresholds in the three algorithms ; it is very robust and adaptable. in the end, the performance of the three algorithms is compared to each other based on the process of total data of one test - on - line
分別設計了濾波法、小波去噪法和積分法來提取傾擺脈沖(濾波延時補償信號) ,論述了這三種演算法提取傾擺脈沖的原理,提出了一種魯棒性好、適應性強的「高進低出」法來確定三種提取傾擺脈沖演算法中的門限值:最後用這三種演算法對一次線路試驗的全部數據進行了處理,並比較了各種演算法的特點。By means of the precise integration method with lagrangian interpolation the trajectory of the shaft center, the poincare mapping and the bifurcation graphs are numerically given. the results predicted by the floquet theory are checked and the long - term dynamic behavior of the system is predicted. it is shown that the system has rich nonlinear behaviors at some m combination of the four parameters, for examples, multi - frequency subharmonic resonance, as well as chaos phenomenon from doubling bifurcation and twice hopf bifurcation
通過lagrange插值精細積分法數值給出系統的軸心軌跡圖、 poincar映射圖、分叉圖,檢驗floquet理論預測結果並預測系統的長期性態,顯示系統在四個參數組合的某些范圍內具有豐富的非線性特性,還存在多形式次諧波解,以及由倍周期分叉、二次hopf分叉通往混沌的現象。Using the method of conversing double integrals into linear integrals, we obtain two theorems and their corollaries for double integrals of linear - fractional homogeneous functions with two variables, and construct some typical examples that are difficult to be calculated by ordinary methods to illustrate their applications
摘要通過把二重積分轉化成曲線積分,得到二元分式線性齊次復合函數積分的兩個定理及其若干推論,並構造一些比較典型的用一般方法難以計算的例子說明結論的應用。For the coupling between the laser diode and the tapered single - mode fiber, the overlap integral is used to compute the coupling efficiency on the basis that the laser diode outputting mode field and the fiber eigenmode field is approximated to basic - mode gauss field. and based on the same approximation, the coupling efficiency between the semi - tapered fiber and the laser diode is calculated by using the ray - traced method. the parameters are analyzed for the effect on the coupling efficiency and give the theory foundation to optimize the design of the tapered fiber coupling system
首先通過對半導體激光器輸出模式場和光纖本徵模式場的高斯基模近似,利用交疊積分計算了錐形單模光纖與激光器的耦合效率問題;其次依據以上近似,利用光線跡蹤法計算了半錐形多模光纖與激光器的耦合效率問題,給出各個參數對耦合效率的影響和作用,為優化設計錐形光纖耦合系統提供了理論依據。By the first integral method and properties of integral depending on a parameter, the necessary and sufficient condition on the existence of dead core solution for the boundary value of a class of nonlinear ordinary differential equations has been specifically constructed
應用首次積分法並結合含參變量積分的性質,具體構造了一類二階非線性常微分方程邊值問題存在非負死角解的充分必要條件Abstract : by the first integral method and properties of integral depending on a parameter, the necessary and sufficient condition on the existence of dead core solution for the boundary value of a class of nonlinear ordinary differential equations has been specifically constructed
文摘:應用首次積分法並結合含參變量積分的性質,具體構造了一類二階非線性常微分方程邊值問題存在非負死角解的充分必要條件分享友人