... engineering In this thesis we consider the development ofnumerical software for thesolutionof such problems Our discussion opens with a brief introduction to the theory of delay-differential ... analysts theNumerical Algorithms Group Plc 12 a Notation • Mathematical notation R the set of real numbers n x R the set Rn 1=1 Z the set of integers Z+ the set of positive integers C the set of ... ci, on the continuity of yi, it is sufficient to take the minimum ofthe propagated discontinuities originating from these points Furthermore, by the above argument, the degree of smoothing of such...
... appendix we give a formal proof ofthe result (1.1.3:14) For any given time let the order of continuity ofthe component y i be Zi Our task is thus to obtain a set of lower bounds {c i : > ci ... construction C', co Cl = Applied to the error term (6) we then obtain — = - 0(hP+2) as required Thus the order ofthe effect ofthe spurious discontinuity at t = is one less than the local truncation error ... 16 32 (2) (3) Here the numbers (2) correspond to the side numbers in the program listing whereas those in (3) correspond to the page numbers used in the thesis The 'numbers of statements' (1)...
... refers to the consideration of meaning in an incongruent way at the level ofthe organization ofthe discourse The most congruent form of joining two ideas is An investigation into the role of metaphor ... and the results ofthe study were presented An investigation into the role of metaphor in description of emotion in poetic discourse • Part is the conclusion ofthe study which summarized the ... conceptualize emotions was studied Organization ofthe study The study is composed of three parts • Part 1: Introduction This part introduces the relevance, the aims, the scope and the methodology of the...
... that the c v values ofthe proposed method are generally lower than those ofthe Taylor method the δ p values ofthe proposed method are generally higher than those ofthe Taylor method The present ... (3): Comparison ofthe values ofthe coefficient of consolidation using the proposed, Taylor and Casagrande methods Figure shows the graphical presentation of Eq for two sets of consolidation ... evaluating the coefficient of consolidation and end of primary settlement based on a direct solutionofthe Terzaghi theory This new method determines the coefficient of consolidation utilizing the...
... 8 Numerical Solutions ofthe Black Scholes Equation The left-hand side ofthe heat equation, on the other hand, cannot be unambiguously approximated The following are some ofthe more ... conditions) and the values at n+1 n the top and bottom edges (boundary conditions); the um−1 um−1 solutionoftheproblem is the series of values at the right-hand edge In order to find these right-hand ... α = and six steps in the x-direction; these values are chosen to make the set-up as close as possible to the binomial example ofthe last chapter 97 Numerical Solutions ofthe Black Scholes Equation...
... referring to parts ofthe human bodyThe position of proverbs referring to part ofthe human body Parts ofthe human body 21 21 21 The classification of parts ofthe human body according ... diversified (multiple form) The classification of parts ofthe human body according to the position In the system ofthe proverbs, the system of words referring to parts ofthe human body is divided into ... 2.4.There are two parts ofthe human body in one proverb 40 Table Table of proverbs that contains two parts ofthe human body 42 The differences 43 3.1 The different cultures_ the...
... earth The hand of a child - The hand of a lock The heart of a man - The heart of a matter 37 The tongue of a man - The tongue of a shoe The tooth of a person - The tooth of a comb The head of a ... metonymy The Vietnamese tends to use widely a part ofthebody to show the whole bodyThe English often uses a part ofthebody to show the whole body and another related part Sixth, the phenomenon of ... hands of a farm 13 The heel of a person - The heel ofthe hand 14 One's leg - The leg of a trip 15 One's brain - The brains of a family 16 The bosom of a person - The bosom ofthe church 17 The...
... it [33–36] The success ofthe modeling ofthe pH dependent free energy of folding critically depends ofthe accuracy ofthe calculated pKas ofthe ionizable groups Recent benchmarks of MCCE on ... Origin of optimum pH The paper reports the pH dependence ofthe free energy of folding Despite the differences among the calculated proteins, the results show that the pH-dependence profile ofthe ... broad range of pHs to be compared The origin ofthe optimum pH The position ofthe optimum pH depends on the amino acid composition and on the organization ofthe amino acids within the 3D structure...
... discuss the Itˆ formula, the Feymano Kac formula and the existence and uniqueness of solutions of SDEs These tools and results provide the basis for the application and numericalsolutionof stochastic ... approximations ofthe probability measure generated by thesolutionof a given SDE These schemes are appropriate for problems such as derivative pricing, the evaluation of moments and the computation of ... definition ofthe strong error on the left hand side of (0.0.1) one notices that strong schemes provide pathwise approximations ofthe original solution X ofthe given SDE These methods are therefore...
... components ofthe open set P = {det(α) > 0} of hermitian forms of positive determinant (the other components, of course, are the sets of forms of signature (p, q), p + q = n, with q even) One ofthe ... investigate the behaviour ofthe Kăhler cones Kt ofthe various a −1 (t), as t runs over S Because ofthe assumption of local fibres Xt = π triviality of π, the topology of Xt is locally constant, and therefore ... covering The Main Theorem admits quite a number of useful variants and corollaries Twoof them are descriptions ofthe cone of nef classes (nef stands for numerically effective – or numerically...
... effect of FMN, but not of FAD or riboflavin, has been noticed earlier [36,37] Figure shows the effect ofthe FMN concentration on the reconstitution ofthe activity ofthe reduced SH Addition of about ... atmosphere The contents ofthe bottle were gently stirred at 30 °C in the dark Two controls were run also, one with 30 lM FMN instead of enzyme and the other with buffer alone After h, a sample ofthesolution ... enzyme is missing in HoxY ofthe SH, suggesting an exposure of part ofthe hydrophobic surface ofthe HoxH subunit It was therefore proposed that the HoxU subunit ofthe NADH-dehydrogenase module...
... than for their arogenate substrate This strong feedback inhibition arises from the necessity ofthe plant cell, to regulate the flux of arogenate between the synthesis of tyrosine and that of phenylalanine ... address this issue The presence oftwo plastidic isoforms with different kinetic behavior raised the question of their respective physiological roles The presence of several plastidic isoforms is a ... Effects of substrate concentration on the velocity ofthetwo arogenate dehydrogenases TyrAAT1 (upper panels), and TyrAAT2 (lower panels) (A) and (C) Plots ofthe velocity as a function of increasing...
... distribution The main restrictions appear to be the rigid requirements ofthe fine details ofthe dynamics and the initial data Furthermore, it is not clear whether the analysis on the current across the ... with the order of magnitude, for the rest ofthe proof for Theorem 3.1 in Sections 4–6, we shall replace ω(p) by p2 whenever it is more convenient 4.3 The upper bound ofthe diagonal term: The ... occupied Otherwise the jump is suppressed and the process starts again The jump rate is assumed to be asymmetric so that in general there is net drift ofthe system The simplicity ofthe model...
... VII The Veins Introduction The Pulmonary Veins The Systemic Veins a The Veins ofthe Heart b The Veins ofthe Head and Neck The Veins ofthe Exterior ofthe Head and Face The Veins ofthe Neck The ... with the body, and in the fourth month thetwo halves ofthe arch are joined on the dorsal aspect ofthe neural tube The spinous process is developed from the junction ofthetwo halves ofthe ... Portion ofthe Sympathetic System b The Cervical Portion ofthe Sympathetic System c The Thoracic Portion ofthe Sympathetic System d The Abdominal Portion ofthe Sympathetic System e The Pelvic...
... resonant peaks ofthe various sized bowties are all above the cutoff wavelength ofthe circular hole in the probe This leads to the resolution of only the shortest wavelength resonant peaks The signals ... its direction Figure shows the sum ofthe energy density stored in the electric and magnetic field and the magnitude ofthe Poynting vector at the center ofthe gap in the exit plane for different ... illustrates the spectral dependence ofthe bowtie’s near-field emission on its outline dimensions (a and b) The field is sampled at the center ofthe aperture on the exit plane (the free-space side of the...
... self-explanatory To all regions ofthebody we added schematic drawings ofthe main tributaries of nerves and vessels, ofthe course and mechanism ofthe muscles, ofthe nomenclature ofthe various regions, ... root ofthe mesentery ofthe intestine The lymphatic vessels ofthe right half ofthe head and neck, the right thorax, and the right upper limb drain toward the right venous angle; those ofthe ... iliac crest At the dorsal side ofthe body, the posterior spines ofthe vertebral column, the ribs, the scapula, the sacrum, and the iliac crest are palpable Lines of orientation are the paravertebral...
... all body levels, only the first four harmonics had an amplitude higher than the accuracy ofthe system and the ratio between the sum of their power, and the total power was higher than 98%, they ... analysis The average values ofthe above parameters were computed for each subject over the different trials From these values, the sample mean and the standard error ofthe mean (s.e.m.) were then ... deeper analysis ofthe harmonic amplitudes showed that this decrease in the ratio was caused by a reduction ofthe even harmonics The role ofthe upper body segments in attenuating the oscillations...
... behind the footprint of native ACL The landmarks for a correct placement of guide are the passage between the notch roof and lateral notch wall, and the superior border of cartilage ofthe posterior ... through the anteromedial portal The tip ofthe guide is placed slightly medial to the centre ofthe intercondylar region, mm anterior to the PCL, on a line joining the inner edge ofthe anterior ... A Figure of external view of thigh side of distal part of a right guide placement on the lateral Picture Picture of external view of guide placement on the lateral side of distal part of a right...
... a constant independent of u and f Proof From the assumptions on the regularities ofthe coefficients apq and ofthe function f it follows that thesolution (cN (t))N ofthe system (3.5), (3.6) ... prove the main theorems of this section Theorem 3.3 Let h be a nonnegative integer Assume that all the coefficients apq together with their derivatives with respect to t are bounded on Q Then there ... 5.2.1]) Now let us give the main theorem of this section: Theorem 4.1 Suppose that all the assumptions of Theorem 3.4 hold for a given positive integer h Assume further that the strip m−ε− n n ≤...