... typing or pasting in a body of text with minimal editing of the context Major Delete: The opposite of a major insert Often performed by vandals who delete a large section of the page Major Change: ... Markovmodulated Poisson processes Computational Statistics and Data Analysis, 21:431–447, 1996 A Simma Modeling Events in Time using Cascades of Poisson Processes PhD thesis, University of California, ... ˆ Regardless of the delay and labeling distributions and the relative intensities of different events, the total intensity of the total mean measure should be equal to the number of events observed...
... Societies: Agent-Based Modelingof Social and Spatial Processes This page intentionally left blank DYNAMICS IN HUMAN AND PRIMATE SOCIETIES Agent-Based Modelingof Social and Spatial Processes Editors ... anthropologists that "the processesof events which constitute the world of nature are altogether different in kind from the processesof thought which constitute the world of [human] history" (Collingwood ... science is not primarily concerned with the behavior of isolated individuals The critical questions are often of genesis of patterns and of processes: how cooperative relations among unrelated...
... the concepts of rate processes together with their relation to state variables, and the general modelingofprocesses The thermodynamic limitation of rate processes in relation to modeling and ... Examples for the General Equations Modelingof Biochemical Systems 3.8.1 Modelingof Enzyme Systems 3.8.2 Modelingof Microbial Systems References Problems Modelingof Distributed Systems 4.1.1 Isothermal ... 2.5.1 Heats of Reactions 2.5.2 Effects of Temperature, Pressure, and Phases on Heat of Reaction 2.5.3 Heats of Formation and Heats of Reaction 2.5.4 Heats of Combustion and Heats of Reaction...
... DESIGN AND MODELINGOF PHARMACEUTICAL POLYMORPHIC CRYSTALLIZATION PROCESSES NICHOLAS KEE CHUNG SHEN (B Eng (Hons.), NUS) A THESIS SUBMITTED FOR THE DEGREE OF DOCTOR OF PHILOSOPHY DEPARTMENT OF CHEMICAL ... love i TABLE OF CONTENTS Acknowledgements i Table of Contents ii Summary iv List of Tables v List of Figures vi List of Symbols ... duration of the experiment, while that of Run crossed the metastable limit initially and stayed very close to it for the remainder of the run The impact of using different supersaturation profiles...
... FOR MODELING, CONTROL AND MONITORING OF CHEMICAL PROCESSES CHENG CHENG (B Eng., ECUST, China) (M Eng., ECUST, China) A THESIS SUBMITTED FOR THE DEGREE OF DOCTOR OF PHILOSOPHY DEPARTMENT OF CHEMICAL ... Parameters of polymerization reaction k1 , k , k Kinetic parameters of van de Vusse reactor k , k max Number of minimum and maximum relevant data sets L Level of reactor l Number of nearest neighbours ... Molecular weight of monomer Q Statistical Variable of PCA r Set-point si Similarity number T , Ti Reactor Temperatures T2 Statistical Variable of PCA Model of the process ~ Minimum phase of G ix u Process...
... surface profile with conditions of Exp-2…………….79 Figure 6.11 Steady water surface profile with conditions of Exp-5…………….80 Figure 6.12 Steady water surface profile with conditions of Exp-6…………….80 ... plot of water surface in 2D simulation of Exp-1 …………….95 Figure 6.35 Carpet plot of water surface in 2D simulation of Exp-2…………… 95 Figure 6.36 Carpet plot of water surface in 2D simulation of ... plot of water surface in 2D simulation of Exp-4…………… 96 Figure 6.38 Carpet plot of water surface in 2D simulation of Exp-5…………… 97 Figure 6.39 Carpet plot of water surface in 2D simulation of Exp-6……………...
... Segerlind L.J, (1988), Modeling Simultaneous Heat and Mass Transfer in Isotropic Sphere, Trans ASEA, pp 31 Husain A., Chen C.S., Clayton J T, Whitney L.F (1972), Mathematical Simulation of Mass and Heat ... D McDaniel (2004), A Practical Manual for Understanding the Shell Structure of Broiler Hatching Eggs and Measurement of their Quality, Mississipi State University, p 3-5 ... hợp hệ thống điều khiển cho toàn hệ thống Tài liệu tham khảo Crank J., (1975), The Mathematics of Diffusion, Oxford University Press, Bala, B K (1998), Solar drying systems: Simulations and optimization,...
... 22-23 of 2003 The amount of precipitation was 30 mm in total Figure shows the precipitation record of the studied event (Fig 2a) and the record of the river flow rate (solid line, Fig 2b) of the ... measurement, considering of their respective analytical errors A concept of two-component mixing was employed, in which it was assumed that runoff is composed of a mix of two components: one originating ... and by setting C1 and C2 as mentioned above, the fraction of new water evaluated for the main part of the runoff (0000 of Oct 22 to 1600 of Oct 23, 40 h in total) was found to be as shown in Fig...
... completeness of combustion and its equal to 6.908, m is a parameter characterizing the rate of combustion The small value of m means a high rate at the beginning of combustion, while a large value of m ... optimazation study for the reduction of Nox emissions of diesel engine working with soybean oil biofuel blendings using diesel-rk software’,27th national convention of chemical engineering, September ... approximation to that of obtained by Diesel-rk software hence, the developed mathematical model is suitable for the prediction of the combustion and performance characteristics of the C.I engine...
... measure of goodness -of- fit When the third item suggests that the model is an unlikely match to the data, then items (i) and (ii) are probably worthless Unfortunately, many practitioners of parameter ... question, “What is the probability that a particular set of fitted parameters a1 aM is correct?” The reason is that there is no statistical universe of models from which the parameters are drawn There ... one model, the correct one, and a statistical universe of data sets that are drawn from it! Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright...
... assumption of a normal distribution For a hundred years or so, mathematical statisticians have been in love with the fact that the probability distribution of the sum of a very large number of very ... that the standard deviations σ of these normal distributions are the same for all points Then the probability of the data set is the product of the probabilities of each point, 15.1 Least Squares ... distribution is often rather poorly realized, if it is realized at all We are often taught, rather casually, that, on average, measurements will fall within ±σ of the true value 68 percent of the time,...
... contributes its own bit of uncertainty to the parameters Consideration of propagation of errors shows that the variance σf in the value of any function will be 664 Chapter 15 Modelingof Data In §14.5 ... variance of the linear combination yi − a − bxi of two random variables xi and yi , 2 Var(yi − a − bxi ) = Var(yi ) + b2 Var(xi ) = σy i + b2 σx i ≡ 1/wi (15.3.3) The sum of the square of N random ... 15 Modelingof Data N yi − a − bxi σi χ2 (a, b) = i=1 (15.2.2) If the measurement errors are normally distributed, then this merit function will give maximum likelihood parameter estimations of...
... generalization of §15.2 is to fit a set of data points (xi , yi ) to a model that is not just a linear combination of and x (namely a + bx), but rather a linear combination of any M specified functions of ... North America) float chixy(float bang) Captive function of fitexy, returns the value of (χ2 − offs) for the slope b=tan(bang) Scaled data and offs are communicated via the global variables { int ... stage of varying b, successful numerical root-finding leads to a value of ∆a that minimizes χ2 for the value of ∆b that gives ∆χ2 = This (see Figure 15.3.1) directly gives the tangent projection of...
... standard deviations of the measured dependent variable The measured values of the dependent variable not enter the design matrix Solution by Use of the Normal Equations The minimum of (15.4.3) occurs ... vector of length M The equations (15.4.6) or (15.4.7) are called the normal equations of the leastsquares problem They can be solved for the vector of parameters a by the standard methods of Chapter ... parameters a are linear combinations of the columns of V, with coefficients obtained by forming dot products of the columns Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN...
... unlikely to be offset by compensating points of opposite sign From this point on, we will always use as the definition of αkl the formula 684 Chapter 15 Modelingof Data the components of [α] and ... even when they must be offered without proof Figure 15.6.1 shows the conceptual scheme of an experiment that “measures” a set of parameters There is some underlying true set of parameters atrue ... sum of na/3 Gaussians (15.5.16) The amplitude, center, and width of the Gaussians are stored in consecutive locations of a: a[i] = Bk , a[i+1] = Ek , a[i+2] = Gk , k = 1, , na/3 The dimensions of...
... techniques, and seek to minimize the uncertainty of the result according to any desired criteria Offered the choice between mastery of a five-foot shelf of analytical statistics books and middling ... value of a measured quantity, or the mean of some function of the measured quantities S The bootstrap method [1] uses the actual data set D(0), with its N data points, to S S generate any number of ... Limits on Estimated Model Parameters 692 Chapter 15 Modelingof Data Confidence Limits Rather than present all details of the probability distribution of errors in parameter estimation, it is common...
... definition Some other kinds of robust techniques, coming from the fields of optimal control and filtering rather than from the field of mathematical statistics, are mentioned at the end of this section Some ... function of a single variable z ≡ [yi − y(xi )]/σi If we now define the derivative of ρ(z) to be a function ψ(z), ψ(z) ≡ dρ(z) dz (15.7.4) then the generalization of (15.1.7) to the case of a general ... based on the following fact: The median cM of a set of numbers ci is also that value which minimizes the sum of the absolute deviations |ci − cM | i (Proof: Differentiate the above expression with...
... proton of NeH of –Ne+H@C–(NH2)2 of the Arg moiety with the cyclic configuration of Arg-tRNA is transferred to C@O of the ester bond of Arg-tRNA The adenosine moiety of AMP is omitted the formation of ... chains of Pro34 and Leu38 N1 and N6 of the base of A20 lie close to Nd2 and Od1 of the side chain of Asn87 in the S4 strand, with ˚ ˚ distances of 2.82 A and 2.97 A, respectively The plane of the ... group of Asn87 is positioned far out of the base plane Large values of average B-factor of resi- Modelingof tRNA-assisted mechanism on ArgRS dues in the N-terminal domain (average B-factors of...