... Chaoling and every member of my family, my parents and my sisters, for their love andtheir confidence in me Also I thank my friends Dr Xing Xiuqing, Dr Tang Gongyue for their encouragement and help ... to handle the 2D and 3D thermal curved wall boundary for TLBE and proved to be of second-order accuracy ix LIST OF TABLES Table 2.1 Main parameters of popular 2D and 3D discrete velocity models ... of steady flow and 3D Womersley flow in circular tubes agree well with the FVM solutions and exact analytical solutions, which validated our models It is observed that the present models reduce...
... the two stochastic models 1.2 Motivation and Objective 1.2.1 Langevin dynamics and Monte Carlo method The two stochastic dynamical models, the Langevin dynamical equation and the Monte Carlo ... transition and β ≡ 1/kB T = D−1 Applying the standard analysis on both stochastic models, i.e the MaxwellBoltzmann treatment on the Langevin dynamical model and the detailed balance analysis on the random ... , X3 , be a sequence of random variables which are identical and independently distributed Assume that both the expected value µ and the standard deviation σ exist and are finite Consider the...
... Cl (1.6) (1.7) In Equations (1.6) and (1.7) Ll and Cl represent the inductance and capacitance per unit length of the line, and ε and µ are the permittivity and permeability of the transmission ... developed using standard thin-film deposition techniques such as sputtering, and physical or chemical vapor deposition Their use in sensors and actuators is inherently limited by the quality and repeatability ... capacitance and resistance, and mechanical mass and friction, the constitutive relations for this device can be derived for the current (i) and force (F ), in terms of displacement (x) and flux linkage...
... RF MEMS andTheirApplications RF MEMS andTheirApplications Vijay K Varadan K.J Vinoy K.A Jose Pennsylvania State University, ... 1943– RF MEMS andtheirapplications / Vijay K Varadan, K.J Vinoy, and K.A Jose Includes bibliographical references and index ISBN 0-470-84308-X (alk paper) Radio circuits–Equipment and supplies ... years, and we are increasingly leaning towards theirapplications in microwave and millimeter wave systems, and even in optical systems Apart from having the advantages of bulk production, and being...
... Production ModelsandTheir Digital Implementations 44.1 Introduction Speech Sounds • Speech Displays 44.2 Geometry of the Vocal and Nasal Tracts 44.3 Acoustical Properties of the Vocal and Nasal ... Tgv Ug , and the pressure at the velum is Pv = Zv Uv Once Pv and Uv are known, the volume velocity and/ or pressure at the nostrils and lips can be computed by inverting the matrices Kvn and Kvt ... observed phenomenon that the fricatives th and f (and the corresponding voiced dh and v) are weak compared to the fricatives s and sh The teeth (upper for s and lower for sh) provide the obstacle...
... elements, their rejecter and retainer minors, their simple and scaled cofactors, their row and column vectors, andtheir derivatives have all been expressed in a notation which we believe is simple and ... space and will be used exclusively in this and later chapters However, many properties of particular determinants can be proved by performing a sequence of row and column operations and in these applications, ... adjective first and to refer simply to minors and cofactors and it is convenient to regard Mij and Aij as quantities which belong to aij in order to give meaning to the phrase “an element and its cofactor.”...
... manure from agriculture and wildlife or leaves [12] This is performed by bacteria and fungi The released ammonium ions and gaseous ammonia is again converted to nitrite and nitrate by bacteria ... ago, made up of hydrogen and helium with large concentrations of methane and ammonia Most of this early atmosphere was lost into space during the history of the planet and the remaining was diluted ... respiratory system, skin and eyes [38,39] The long term allowed concentration that people may work in is therefore set to be 20 ppm Immediate and severe irritation of the nose and throat occurs at...
... bands are equal to each other and they merge into one wide band ranging from 476 nm to 533 nm The blue and green bands are characterized by radiation transition of electrons from conduction band ... in ZnS and Co in ZnO, the self-activated luminescence bands characterized by vacancies of zinc and oxygen are extinguished or their intensities decrease In PL spectra of ZnS:Cu, ZnS:Mn and ZnO:Co ... green band decreases Because at high concentration of Cu, it is possible that interaction between Cu2+ ions and ions of the lattice and between Cu2+ each other make the intensity of the green band...
... (2003), 253–321 Sum rules for Jacobi matrices andtheirapplications to spectral theory By Rowan Killip and Barry Simon* Abstract We discuss the proof of and systematic application of Case’s sum rules ... the right-hand side of (1.23) is finite, then the left-hand side is also finite and LHS ≤ RHS Theorem If µ is a probability measure that obeys the Blumenthal Weyl criterion and the left-hand side ... F with F ∈ L1 (dν) and log F ∈ L1 (dµ) 292 ROWAN KILLIP AND BARRY SIMON Suppose first that µ is ν-ac with dµ = f dν and F is positive and continuous Let A = {x | f (x) = 0} and define ν by (5.13)...
... language modelsand the tag-toword translation model, we construct HMM models, among them are traditional first- and secondhidden Markov models, and are self-organizing hidden Markov models Additionally, ... prepositions (P) and verbs (V) The dollar sign ($) represents sentence initialization On the left hand side is the graph representation of the Markov model and on the right hand side is the decision ... , wi−2,i−1 ))(13) i=1 Equation (8) and (9) represent first- and secondorder Markov models respectively Equation (10) ∼ (13) represent self-organizing Markov models at various settings where the...
... elements, their rejecter and retainer minors, their simple and scaled cofactors, their row and column vectors, andtheir derivatives have all been expressed in a notation which we believe is simple and ... space and will be used exclusively in this and later chapters However, many properties of particular determinants can be proved by performing a sequence of row and column operations and in these applications, ... adjective first and to refer simply to minors and cofactors and it is convenient to regard Mij and Aij as quantities which belong to aij in order to give meaning to the phrase “an element and its cofactor.”...
... and C.T.C Wall 57 Isotropy of quadratic forms and field invariants Detlev W Hoffmann 73 Quadratic forms with absolutely maximal splitting Oleg Izhboldin and Alexander Vishik 103 2-regularity and ... Richard G Swan 287 Quadratic forms and normal surface singularities C.T.C Wall 293 ix Preface These are the proceedings of the conference on “Quadratic Forms AndTheirApplications which was held ... a great loss to mathematics and in particular to quadratic form theory We shall miss his brilliant and original ideas, his clarity of exposition, and his friendly and good-humoured presence The...
... MATLAB commands, b) how to examine and understand MATLAB’s lucidly written and easily accessible “demo” programs, and c) how to expand the command language by writing new functions and programs ... language supporting both numerical and graphical commands for two- and three-dimensional data analysis and presentation The wealth of intrinsic mathematical commands to handle matrix algebra, Fourier ... analysis and wave propagation in strings and membranes MATLAB is now employed in more than two thousand universities and the user community throughout the world numbers in the thousands Continued...
... that determine the particle size in sonoelectrochemistry are temperature, sonication intensity, and the electric pulse width Its main synthetic advantage is the ability to reduce metals for which ... For example, preparing metallic Mg nanoparticles.The last technique was named by us RAPET It stands for Reaction under Autogenic Pressure at Elevated Temperatures RAPET is being used in our laboratory...
... technique of isolating and culturing MOSE cells, showing that MOSE cells can spontaneously transform in vitro with repeated passages and have tumorigenic capacity as they formed tumors and hemorrhagic ... carcinomatosis, and extensive ascites fluid production between 80 to 90 days post-exposure The cytological and architectural features resembled serous carcinoma Interaction between ID8 cells and the ... proliferative and survival markers, including phosphorylated Akt, proliferating cell nuclear antigen (PCNA), and Bcl-2 Vascular endothelial growth factor (VEGF) levels were also increased in the serum and...
... [0, ) and (3.14) implies (3.15), and the conclusion of Corollary 3.3 follows from Corollary 3.2 (b) Theorems 3.1-3.4 and Corollaries 3.1 and 3.2 all generalize and improve [5, Theorem 3.4] and ... Fixed Point Theory andApplications 2011, 2011:84 http://www.fixedpointtheoryandapplications.com/content/2011/1/84 Page of 13 Lemma 2.1 [5,8,19,20,22] Let (X,d) be a metric space and p: X × X ® [0, ... He et al Fixed Point Theory andApplications 2011, 2011:84 http://www.fixedpointtheoryandapplications.com/content/2011/1/84 Page of 13 Then, p is nonsymmetric, and hence, p is not a metric It...
... independent random variables and NOD random variables are END Joag-Dev and Proschan [3] pointed out that NA random variables are NOD Thus, NA random variables are END Since END random variables ... Probability inequalities for END sequence andtheirapplications Journal of Inequalities andApplications 2011 2011:98 Submit your manuscript to a journal and benefit from: Convenient online submission ... independent random variables, NA random variables and NOD random variables, studying the limit behavior of END sequence is of interest Throughout the article, let {X n , n ≥ 1} be a sequence of END random...
... Zheng and Feng Journal of Inequalities andApplications 2011, 2011:20 http://www.journalofinequalitiesandapplications.com/content/2011/1/20 Page 11 of 15 Then z(x0 , y) ≤ J−1 [v(x0 , y)], (41) and ... dsdt ∈ Dom(Y −1 ), Zheng and Feng Journal of Inequalities andApplications 2011, 2011:20 http://www.journalofinequalitiesandapplications.com/content/2011/1/20 Page 12 of 15 and β(y) u(x, y) ≤ φ −1 ... finite time Then T = ∞, and the solutions of (46) are global Zheng and Feng Journal of Inequalities andApplications 2011, 2011:20 http://www.journalofinequalitiesandapplications.com/content/2011/1/20...