the damped harmonic oscillator
Báo cáo hóa học: "Research Article Maximal Regularity of the Discrete Harmonic Oscillator Equation" doc
... R-boundedness properties In the third section, we will give a geometrical link for the best discretization of the harmonic oscillator equation In the fourth section, we treat the existence and uniqueness ... value exactly corresponds to the step size in the best discretization of the harmonic oscillator obtained in We conjecture that there is a general link between the geometrical properties of ... t Hence the length of sin2 t dt 3.7 From which the conclusion follows Remark 3.3 As a consequence, the value k in 3.1 is singular in the sense that the curve described by 3.6 attains the minimum...
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Báo cáo hóa học: "ON SIMULATIONS OF THE CLASSICAL HARMONIC OSCILLATOR EQUATION BY DIFFERENCE EQUATIONS" docx
... discretizations of the weakly damped harmonic oscillator equation (ω0 = 1, γ = 0.1) for small t and ε = 0.3 The exact discretization of the damped harmonic oscillator equation In order to find the exact ... Section Damped harmonic oscillator and its discretization Let us consider the damped harmonic oscillator equation (1.1) Its general solution can be expressed by the roots λ1 , λ2 of the characteristic ... to as the exact discretization, is induced by the relation (6.6) between the eigenvalues of the associated characteristic equations The damped harmonic oscillator (1.1) corresponds to the discrete...
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Báo cáo hóa học: " Statistical resolution limit for the multidimensional harmonic retrieval model: hypothesis test and Cramér-Rao Bound approaches" docx
... multidimensional harmonic model) Finally, we link the MSRL based on the hypothesis test approach (see Result 1) to the MSRL based on the CRB approach (i.e., the extended SRL based on the Smith criterion) The ... Comparison and link between the MSRL based on the CRB approach and the MSRL based on the hypothesis test approach: The MSRL based on the hypothesis test approach is given as the solution of δ = κ(Pfa ... A, • A* = the complex conjugate of the matrix A, Page of 14 • AH = (A*)T, • tr {A} = the trace of the matrix A, • det {A} = the determinant of the matrix A, • ℜ{a} = the real part of the complex...
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Báo cáo hóa học: "Research Article Discrete-Time Modelling of the Moog Sawtooth Oscillator Waveform" doc
... shows the harmonic magnitude error, that is, the difference between the model output harmonic magnitudes and the magnitude of the recorded harmonics, for harmonic frequencies below 15 kHz The harmonic ... Waveform, (b) the spectrum, and (c) the harmonic magnitude error of the PD model of the Moog sawtooth oscillator output, that is, the difference between the model output harmonic magnitudes and the magnitudes ... depends on both the oscillator and the fundamental frequency Therefore, as with the PD model, the root mean squared error and the maximum absolute harmonic magnitude error of the filtered oscillator...
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Báo cáo hóa học: " Research Article High-Quality Time Stretch and Pitch Shift Effects for Speech and Audio Using the Instantaneous Harmonic Analysis" pdf
... harmonic parameters were used for the synthesis of the signal’s periodic part that was subtracted from the source in order to get the residual All harmonics of the source are modeled by the harmonic ... (n) the instantaneous magnitude of the kth sinusoidal component, K is the number of components, ϕk (n) is the instantaneous phase of the kth component, and r(n) is the stochastic part of the ... domain at the output of the system The deterministic/stochastic representation significantly simplifies the processing stage As it is shown in the experimental section, the combination of the proposed...
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báo cáo hóa học:" Research Article The Obstacle Problem for the A-Harmonic Equation" pot
... equation and the obstacle problems for differential forms which satisfy the A -harmonic equation, and the proof for the uniqueness of the solution to the obstacle problem of the A -harmonic equations ... also have some relations between the solution to Aharmonic equation and the solution to obstacle problem of A -harmonic equation We have the following two theorems Theorem 2.6 If a differential form ... Applications By Theorem 2.7, we can see that the solution u to the obstacle problem of 2.1 in K−∞,ρ Ω, Λl−1 is a solution of 2.1 in Ω Then by theorem, we can get the existence and uniqueness of the solution...
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Báo cáo hóa học: " Research Article The Schur Harmonic Convexity of the Hamy Symmetric Function and Its Applications" pptx
... 1, 2, , n, 4.1 Proof The proof follows from Theorem 3.1 and Lemma 2.9 together with 1.2 If taking r corollaries and r n in Theorem 4.1, respectively, then we have the following Journal of ... , t be the n-tuple, then obviously t, t, , t ≺ 1 , , , x1 x2 xn x 4.7 Journal of Inequalities and Applications Therefore, Theorem 4.6 follows from Theorem 3.1, 4.7 ,and 1.2 Theorem 4.7 ... An } be the set of vertices Let P be an arbitrary point in the interior of A If Bi is the intersection point of the extension line of Ai P and the n − -dimensional hyperplane opposite to the point...
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báo cáo khoa học: "The management of advanced oral cancer in a Jehovah''''s Witness using the Ultracision Harmonic Scalpel" docx
... dissection) The surgeon (JA) used the HS throughout the procedure The radial forearm flap was raised by the Plastics Surgical team (KS) using a standard technique with cold steel dissection The entire ... balance of +0.1L The patient was transferred to the intensive care unit for close monitoring on the first postoperative night She was then returned to the specialised otolaryngology ward The patient ... normovolemic hemodilution is the process of removing one or more units of blood before the operation for transfusion to the patient either during or at the end of the operation This was not acceptable...
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Đề tài " Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes " doc
... Section we reformulate the problem of harmonic analysis of these characters in the language of random point processes Section is the heart of the paper: there we develop general theory of discrete ... terms of the Frobenius coordinates of the diagrams λ+ and λ− Indeed, the diagram λ+ can be identified with the figure bounded by the horizontal line A0 , the vertical line x = 0, and by L Then the ... affect the correlation functions; see Section 5(b) We call the passage from the process P to the process P △ , together with formula (5.1) the complementation principle The idea was borrowed from THE...
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Báo cáo khóa học: Damped oscillatory hysteretic behaviour of butyrylcholinesterase with benzoylcholine as substrate potx
... depend on the chemical nature of the substrate, the concentration of the substrate, the structure of the enzyme, and the composition of the medium Although numerous studies have demonstrated the conformational ... s, of the approach to steadystate and of the damped oscillations (see Appendix 2) For example, Fig shows damped oscillations in the approach to the steady-state for D70G The frequency of the first ... concentration on the induction times, the frequency of the oscillations, or the amplitude of the oscillations at any pH between and 8.5 Thus, there were no stabilizing or destabilizing effects on the hysteresis...
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Retrieval of the source location and mechanical descriptors of a hysteretically-damped solid occupying a half space by full wave inversion of the the response signal on its boundary doc
... MNI of the RM is chosen to be the same as the MNI of the SM In this case, when the values of all the parameters of the set P are strictly equal to their counterparts in the set p and the values ... P are strictly equal to their counterparts in the set p and the values of all the parameters of the set N are strictly equal to their counterparts in the set n, then the inversion will give rise ... values of all the parameters of the set N are strictly equal to their counterparts in the set n, the response computed via the RM will be identical to the response computed via the SM This so-called...
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Đề tài " A quantitative version of the idempotent theorem in harmonic analysis " docx
... Z-valued The norm µ is the -norm of the Fourier transform of f , also known as the algebra norm f A or sometimes, in the computer science literature, as the spectral norm We will define all of these ... case then there are dissociated elements a1 , , am ∈ A such that there is no further x ∈ A lying in the span a1 , , am Consider the function p(x) defined using its Fourier transform by the ... s-homomorphism then we say that φ is a Freiman s-isomorphism and write A ∼s A = The main argument In this section we derive Theorem 1.3 from Lemma 3.1 below The proof of this lemma forms the heart of the...
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Đề tài " Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow " potx
... cover the set Ω, and with the property that the union of the ˆ discs D2β lie within the slightly larger set Ω Adding together the estimates of the form (2.59) which hold for each disc Dβ , we then ... of Theorem 1.1 There are a number of convergence statements for the energies E, E∂ and E∂ which follow from Theorem 1.1 when ¯ we accept the hypotheses of Theorem 1.2 Since we shall need them ... in the sequence {un } We are not concerned about the dependencies of the constants C and N in the lemmata above, other than that they are independent of n In particular, they may depend on the...
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Báo cáo khoa học: Collective behavior in gene regulation: The cell is an oscillator, the cell cycle a developmental process doc
... in all the samples taken for the time series analysis, and then ordered them according to power shown at 40 min, the period of the transcriptional oscillation in our strain IFO0233 Of the 4429 ... together at particular points in the cycle This temporal organization extends to the synchronous gating of cells into the S phase DNA replication in these cells begins abruptly at the end of The ... phenotype The evidence that the cell is a coupled oscillatory system has been further strengthened because the original observation discussed above in studies by Murray and his colleagues on the oscillation...
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the harmonic trader
... the Potential Reversal Zone will determine the validity of the harmonic set-up 15 Bullish Price Bar The open and the close define a bullish price bar Simply, if the close is above the open, the ... when they form in a harmonic area Doji The Doji is an excellent potential reversal signal It occurs when the open and the close are the same Usually, the open and the close are found in the middle ... 38 The 0.618 and the 1.618 are two of the four Fibonacci-related numbers that I use to consider price action harmonic The other two numbers that are derived from the series, the 0.786 and the...
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Báo cáo hóa học: " The existence of solutions to the nonhomogeneous A-harmonic equation" docx
... ▽ = (∂1 , , ∂n ) is the gradient of The Sobolev space H1,p(Ω) is defined to be the completion of the set { Î C∞(Ω): || ||1,p
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