5numerical analysis and computational tools

... n-funname) and entering the following commands in the command window: xmax=fmin('n-funname',xi,xf) fmax=-1*feval('n-funname',xmax) Homework Problems Pb 5.22 We have two posts of height m and m, and ... The command is poly poly(r) In-Class Exercise Pb 5.14 Find the roots of the polynomial p = [1 pute their sum and product 3], and com- Pb 5.15 Consider the two polynomials: p1 = [1 3] and p2 = ... that it satisfies, and its value and that of its derivative at x = 0, namely: J ( x = 0) = and J ( x = 0) = ′ The problem that we want to solve is to find the zeros of J0(x) and compare to these...

Ngày tải lên: 13/08/2014, 02:21

... equations for D(k) and D2(k), as given respectively by Eqs (4.16) and (4.30), and with the initial conditions for the function and its derivative The first elements for the y, D, and D2 arrays are ... described by: x = t2 and y = t3 between the points: t = and t = b Assuming that a 2-D curve is given in polar coordinates by r = f(θ), and then noting that: x = f(θ) cos(θ) and y = f(θ) sin(θ) ... fundamental to our understanding of metals and semiconductors, and will be the subject of detailed studies in courses on physical electronics In nature, on the other hand, there is another family...

Ngày tải lên: 13/08/2014, 02:21

... the addition and subtraction of vectors Example 6.2 Find the sum and difference of the complex numbers © 2001 by CRC Press LLC z1 = + 2j and z2 = + j Solution: Grouping the real and imaginary ... resultant signal if N = 1000, and compare it with the maximal constructive interference result (Hint: Recall that the rand(1,N) command generates a 1-D array of N random numbers from the interval ... periods present in the integrand Application As mentioned earlier, the Transfer Function technique is the prime tool for the analysis and design of digital filters In this and the following application,...

Ngày tải lên: 13/08/2014, 02:21

... of n-resistors in series and in parallel, under what conditions does the equality hold? 7.5 Cross Product and Scalar Triple Product* In this section and in Sections 7.6 and 7.7, we restrict our ... (u1 , u2 , u3 ) and v = (v1 , v2 , v3 ) is found using the cross(u,v) command r r r The triple scalar product of the vectors u, v , and w is found through the det([u;v;w]) command Make sure that ... and ϕ is any element in the space, then a ψ is also an element of the space; and b If a and b are constants, and ϕ and ψ are elements belonging to the space, then a ϕ + b ψ is also an element...

Ngày tải lên: 13/08/2014, 02:21

... primary tool for understanding and solving physical problems at the atomic and subatomic scales In this section, we define these matrices and find key properties of their eigenvalues and eigenvectors ... Analysis Conceptually, there is no difference between performing an ac steady-state analysis of a circuit with purely resistive elements, as was done in Subsection 8.7.1, and performing the analysis ... built-in command to achieve the least-square fit of data Look up the polyfit function in your help documentation, and learn its use and point out what difference exists between its notation and that...

Ngày tải lên: 13/08/2014, 02:21

... you have equal x-range and y-range and an aspect ratio of If you would like to add any text anywhere in the figure, use the command gtext 9.1.2 Inversion about the Origin and Reflection about the ... employed in the handling and manipulation of digital images Let us explore and observe the structure of a matrix subjected to the above elementary trasformations For this purpose, execute and observe ... factor of 2, while expanding the y-coordinate by a factor of Apply this transformation to the trapezoid of Example 9.1 and plot the result Pb 9.13 Find the inverse matrices for Sx and Sy 9.1.5 Translation...

Ngày tải lên: 13/08/2014, 02:21

... equal to 2b, the foci are located at (h – c, k) and (h + c, k), and those of the vertices at (h – a, k) and (h + a, k) In this case, c > a > and c > b > and c = a2 + b2 (S.13) Geometric Definition ... same results by noting that the events E and O (B and C) are disjoint and that their union spanned the set S Therefore, the probabilities for events O and C could have been deduced, as well, through ... H ) = P( H ) and P( H ) + P( H ) = giving: P( H ) = and P( H ) = Furthermore, from the text of the problem, we know that: © 2001 by CRC Press LLC P(O H ) = and P(Z H ) = P(O H ) = and P(Z H )...

Ngày tải lên: 13/08/2014, 02:21

... solving about the software Deepest gratitude is given to my parents and grandmother for their support and love forever -I- Analysis and Computational Modeling of Drop Formation for Piezo-actuated DOD ... Applications 2.2 Analysis of Drop Formation 10 2.2.1 Experimental Analysis 10 2.2.2 Theoretical and Computational Analysis 15 2.2.2.1 1D Analysis 16 ... fluids [13] 2.2.2 Theoretical and Computational Analysis In 1878, the drop formation was studied by Lord Rayleigh considering the breakup of - 15 - Analysis and Computational Modeling of Drop...

Ngày tải lên: 28/09/2015, 13:38

... 2000; Momand et al., 2000; Bond et al., 2005; Piette et al., 1997; Momand and Zambetti, 1997; Juven-Gershon and Oren, 1999; Moll and Petrenko, 2003; Iwakuma and Lozano, 2003; Alarcon-Vargas and Ronai, ... members BAX (Miyashita and Reed, 1995) and BAD (Jiang et al., 2006), which binds and inhibits pro-survival members BCL-2 (Hemann and Lowe, 2006) and BCL-XL (Yang et al., 1995; Adams and Cory, 2001) ... pro-apoptotic and pro-survival genes by p53 and AKT Kinetic model in which the regulation of pro-apoptotic BAX and BAD proteins and prosurvival BCL-2 and BCL-XL proteins by p53 and AKT are considered...

Ngày tải lên: 11/09/2015, 16:05

... experience and that they form the fundamental basis for understanding vector algebra and calculus While the notions of set and group theory are not directly required for the understanding of cubic ... providing a basic understanding of the nature of statistical inference and how to begin to use statistical analysis correctly and with confidence The foundation laid in Chapter and the tests presented ... by the "right hand rule" while the magnitude depends on the rate of change of the x- and ycomponents of the vector field with respect to y and x 19 Numerical Methods and Data Analysis The curl...

Ngày tải lên: 20/12/2013, 19:15

... 5.4, 6.3 and 6.6 citrate/phosphate buffer, pH 7.2 sodium phosphate buffer, pH 8.0, 8.3 and 9.0 bicine/HCl buffer and pH 9.0, 9.5 and 10.0 ethanolamine/ HCl buffer [36] Structural analysis and electrostatics ... moves into the ÔupÕ position and interacts with the substrate and Glu144 This rotation of Asp142 is accompanied by removal of a water molecule and adjustments of Tyr10 and Ser93 that seem to compensate ... study are shown in Fig Asp140, Asp142, Glu144 and Asp215 were mutated individually to asparagine and alanine, Tyr10 and Tyr214 were replaced by Phe, and Ser93 was replaced by alanine All clones...

Ngày tải lên: 07/03/2014, 14:20

... not the root clause and V2 has not yet been popped V2 is then read and pushed onto a new stack (Step 5a) In the next move (5b), N2, V~ ° and I/"2 (i.e., V2 and its nominal and clausal complements) ... will not handle such cases either, and we will need an extension of the automaton This extension will be explained by way of an example, sentence (iv) N1, Na, V2 and Va are read in and placed ... rejects the string, as desired Current and Future Work In summary, the linguistic analysis correctly predicts which sentences are ungrammatical, and the processing analysis shows promise for correctly...

Ngày tải lên: 23/03/2014, 20:20

... understanding of functional analysis is a tremendous aid to understanding other subjects such as quantum physics, probability theory and random processes, digital communications system analysis and ... x ∈ X and a ∈ K, then the product of a and x is ax, and ax ∈ X (V7) If x, y ∈ X, and a ∈ K, then a(x + y) = ax + ay (V8) If a, b ∈ K, and x ∈ X, then (a + b)x = ax + bx (V9) If a, b ∈ K, and x ... approach is to use mathematical analysis to understand why a method is slow, and so to devise methods of speeding it up Thus, an important feature of analysis applied to computational methods is that...

Ngày tải lên: 31/03/2014, 15:09

... CHEMICAL REACTOR ANALYSIS AND DESIGN New Tools for Industrial Chemical Reactor Operations Second Edition UZI MANN Texas Tech University PRINCIPLES OF CHEMICAL REACTOR ANALYSIS AND DESIGN PRINCIPLES ... constant, and Deff is the effective diffusion coefficient in the particle (depending on the reactants and products, the size and size distribution of the pore, and the porosity of the pellet), and L ... solutions require some more in-depth analysis and modifications of given equations Subscript indicates problems whose solutions require more comprehensive analysis and involve application of several...

Ngày tải lên: 01/04/2014, 10:36

... Numerical Analysis Using MATLAB® and Excel® Third Edition Students and working professionals will find Numerical Analysis Using MATLAB® and Excel®, Third Edition, to be a concise and easy-to-learn ... values, variables, and equations without exiting, we should use the clear command This command erases everything; it is like exiting MATLAB and starting it again The clc command clears the screen ... (.) and the multiplication (*), division ( /), and exponentiation (^) operators Note: A dot (.) is never required with the plus (+) and minus (−) operators Numerical Analysis Using MATLAB® and...

Ngày tải lên: 08/04/2014, 10:22

... community and finally talk about getting the most out of Xcode and some other useful tools Here is a quick overview of each chapter: Chapter 2, First Class Tools (Xcode, Interface Builder and Instruments): ... like this and other such issues that make this application alpha quality and in need of some updating and tweaking CHAPTER 3: Three Screens and Well, It Runs Navigating the Project (and Xcode) ... a language and platform work, more design patterns and their appropriate uses, and more about the debugger The final, never-ending, phase is simply fine-tuning all of these skills and finding...

Ngày tải lên: 24/04/2014, 10:04

... Vinning and D M Rowe, CRC Handbook of Thermoelectrics, (CRC Press, 1995), pp 329–337 11 M.S Dresselhaus, Y.M Lin, T Koga, S.B Cronin, O Rabin, M.R Blackand, and G Dresselhaus, in Semiconductors and ... thermoelectric leg (n or p), and A denotes the cross-sectional area Subscripts ‘‘n’’ and ‘‘p’’ denote the corresponding n or p thermoelectric materials k and q are thermal conductivity and electrical resistivity, ... Recovery Systems Part I: Numerical Modeling and Baseline Model Analysis Fig Representation of a TE couple (one n- and one p-leg) with fins at the hot side and coolant at the cold side The TE couple...

Ngày tải lên: 06/05/2014, 08:54