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今日航空器的應用上,數值模擬空氣中超音速流的研究已相當的廣泛,一般解軸對稱可壓縮Euler方程式及Navier-Stoke方程式, 對於水中之超音速流流經鈍形體(Blunt Body)的研究則甚為稀少,本文將以數值模擬探討水中類似的問題,數值方法採用高階的加權基本不震盪法(WENO... 
那維爾史托克 | blunt body | WENO | 震波 | Euler | water | 尤拉 | 鈍形體 | | 超音速 | bow shock | 加權基本不震盪法 | computational fluid dynamic | Navier-Stokes | 計算流體力學 | supersonic
Dissertation
本論文是研究如何用物件導向設計遞迴方法來產生三角網格,其目的是要建立一套遞迴式網格生成法。應用以C++撰寫的網格生成物件,在寫程式時只需專注於遞迴生成法即可,由此可看出C++物件導向語言及其標準程式庫STL所寫的程式可適應性、可擴充性和簡便等強大的弁?... 
網格生成 | weight function | 遞迴 | 物件導向 | unstructured grid generation | 內點插入 | object-oriented | grid generation | 分割線 | Euler's formula | 尤拉公式 | 非結構性網格生成法 | 權函數 | Recursive
Dissertation
by Gu, Hua
Thesis (Ph. D.)--University of Texas at Austin, 2006. Vita. Includes bibliographical references. 
Propellers. Vortex-motion. Finite volume method. Euler's numbers
Dissertation
論文研究對象是尤拉數及尤拉多項式。主要的興趣在得到與其相關之等式,並研究其同餘性質。主要的方法是透過某些解析函數在負整數取值的公式。 In this paper, we prove a formula for special value of certain L-functions at non-positive... 
Euler polynomial | 尤拉數 | 尤拉多項式 | Euler number
Dissertation
Almost every theory of mathematics has its discrete counterpart that makes it conceptually easier to understand and practically easier to use in the modeling... 
Gompertz difference equation | Leibniz formula | tumor and bacterial growth | Euler-Lagrange equation | Other Applied Mathematics | Cell Biology | Discrete Mathematics and Combinatorics
Dissertation
The simplicity principle posits that we interpret sense data as the simplest consistent distal cause, or that our high level perceptual representations of... 
caricature | distinctiveness | biological motion | principle components analysis | PLD | Euler angle | walker | representation | walker space | simplicity principle | PCA | morphable | coding theory | norm-based multidimensional | identification | point light display | face space
Dissertation
現在我們已可以用尤拉和與ζ-函數所得到的恆等式來求得某些尤拉和的值。除此之外,我們定義了其它三種稱為延伸的尤拉和的三種符號,並可從中個別得到延伸的尤拉和與ζ-函數、η-函數之間的恆等式。這對我們求值而言是非常方便的。 在第一章與第二章,我們分別介紹了Bernoulli 數, Riemann ζ-函數, Hurwitz... 
尤拉和 | 階層函數 | Bernoulli 數 | Euler Sums | Extended | Bernoulli number | 延伸的 | Riemann | Gamma function
Dissertation
在論文當中,我們用不同的方法求某些zeta函數在非正整數上的取值,從而得到一些伯努利恆等式。特別的是,這些取值都會有很好的表現式。應用這些伯努利恆等式,我們可以重新得到古典的尤拉和。更進一步,我們還可以將此應用做個擴充,而得到更多新的結果。 In this thesis we produce many... 
Euler | 伯努利 | Bernoulli
Dissertation
Introduction:   In section 5 of [2], Chow has proved that: If X, X1, X2,...are independent identically distributed random variables.   Definitions:   Suppose... 
Borel-type Summability | Euler
Dissertation
A study of the pressure drop characteristics of the flow of highly viscous fluids through small diameter orifices was conducted to obtain a better... 
Generalized Reynolds number | Pressure drop | Euler number | non-Newtonian | Orifice flow
Dissertation
在數值計算中,我們無法將全誤差確實地計算出來。如果可以的話,我們便 能夠將這值從計算中去除,而得到真實的值。我們將全誤差分為生成誤差 及繁殖誤差。對誤差的估計來說,一般是找它的上界。但當所需的運算相 當龐大的時候,這樣的估計是過於保守的。為了要將誤差估計的更有效,我... 
全誤差 | 1) 模型 | 時間序列 | Euler's | Propagated error | 生成誤差 | 繁殖誤差 | 尤拉法 | Generated error | ARI | Overall error
Dissertation
本論文探討深孔鑽削時孔的品質,孔品質的好壞,主要在於評斷孔的真直度和真圓度。影響孔的真直度的主要原因為鑽桿支稱偏位,鑽削時偏位常發生於機器主軸、中間支撐和導套。首先,本論文研究鑽桿支撐偏位與各控制因子對孔之真直度的影響。依據尤拉柱理論(Euler column... 
深孔鑽 | 田口方法 | 富利葉級數 | Roundness | 尤拉柱理論 | Straightness | 真圓度 | Euler column theory | Deep-hole drilling | 真直度 | Fourier series | Taguchi method
Dissertation
本篇論文主要在探討裝置浮動軸承的渦輪增壓機,其轉子系統的動態響應。以尤拉樑理論、 -film油膜理論和有限元素法為基礎,配合Runge-Kutta迭代法求解轉子系統在軸承部位的水平方向和垂直方向的位移軌跡。... 
floating bush bearing | 擠壓油膜阻尼器 | 轉子系統 | Euler beam | 動態響應 | rotor system | 浮動軸承 | 尤拉樑 | 渦輪增壓機 | Squeeze oil film damper | turbocharger | dynamic response
Dissertation
iv In this thesis, numerical solutions of a 2D stator compressor cascade at a given inlet Mach number (0.7) and four values of incidence (49° , 51° ,... 
T General Technology. 1-995 | CFD, Navier-Stokes, Euler, Multiblock, Compressor Stator, Rotor Wake
Dissertation
複數是數學上的一項重大發現,可應用於許多科學領域的問題,包括工程學、電磁學、量子力學、應用數學和混沌理論。本文的目的主要探討如何巧妙地使用複數的方法在代數、三角函數以及幾何的問題。 Complex number is a major mathematical discovery. It can be used in... 
尤拉九點圓定理 | real product | 複外積 | Nine-point Circle of Euler Theorem | absolute barycentric coordinates | complex product | De Moivre’s Theorem | 絕對質心係數 | 實內積 | 棣美弗定理
Dissertation
Three-dimensional design and three-dimensional CFD analysis of a compressor rotor stage are performed. The design methodology followed is based on a mean line... 
Compressor Rotor Blade Design, 3D Euler Solver, Source Terms Due to Rotational Motion, Radial Equilibrium | TL Aeronautics, Aeronautical Engineering 500-777
Dissertation
(Uncorrected OCR) Abstract of thesis entitled CHARACTERISTIC CLASSES ON COMPLEX MANIFOLDS AND CHERN-NUMBER INEQUALITIES ON COMPACT KAHLER SURFACES submitted by... 
Kahlerian manifolds | Euler characteristic | Inequalities (Mathematics) | Complex manifolds
Dissertation
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