Third Order
Constructing higher-order hydrodynamics: The third order.
... classified third-order hydrodynamics, numerous questions regarding its details remain to be answered in the ...to third order in the gradient expansion, which could not only give us the ...
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Parameterization of orthonormal third-order matrices for linear calibration
... The paper derives a parametric defi nition of the set of third-order orthonormal real matrices. The derivation is done in several partial steps. First a generalized unit matrix is introduced as the sim- ...
6
A third order class D amplifier with and without ripple compensation
... for the switching times of the output pulse-train. Here we treat a higher-order design, for which reduction to such a simple system is no longer possible, and the problem is formulated instead as a nonlinear ...
32
A Crossing Sensitive Third Order Factorization for Dependency Parsing
... Transition-based parsers score actions that the parser may take to transition between different configurations. These parsers typically use either greedy or beam search, and can condition on any tree context that is in ...
14
Dynamics of a system of rational third order difference equation
... Since the system of the difference equation () is the extension of the third-order equa- tion in [] in the six-dimensional space. In this paper, we investigated the local behavior of solutions of the ...
6
Oscillation criteria for third order delay differential equations
... Hence, a great amount of work has been done over the last three decades on the os- cillation theory of third-order differential equations with variable coefficients. The most significant results published up to ...
11
Comparison Theorems for the Third Order Delay Trinomial Differential Equations
... In the recent years, great attention in the oscillation theory has been devoted to the oscillatory and asymptotic properties of the third-order differential equations see 1–20. Various techniques appeared ...
12
On third order linear difference equations involving quasi differences
... The aim of this paper is to investigate oscillatory and asymptotic properties of solu- tions of (E) and (E A ). We will prove that (E A ) is the adjoint equation to (E) and we will give discrete analogues of the ...
13
Third order problems with nonlocal conditions of integral type
... We discuss the existence of solutions of nonlinear third order ordinary differential equations with integral boundary conditions. We provide sufficient conditions on the nonlinearity and the functions ...
10
Third order Variational Reranking on Packed Shared Dependency Forests
... based third-order parsing algorithm, which enumer- ates all grandparents with an additional ...their third-order parsing algo- rithm since the grandsibling model is similar to their model 1 in ...
10
Oscillation criteria for certain third order delay dynamic equations
... techniques, some new oscillation criteria for the equations are established, results are presented that not only complement and improve those related results in the literature, but also improve some known results for a ...
16
Asymptotic Dynamics of a Class of Third Order Rational Difference Equations
... 225 third order non-linear rational difference equations for which several thought-provoking open problems and conjectures on the boundedness character, the global stability, and the periodic behavior of ...
22
On a Third Order Three Point Boundary Value Problem
... Such problems arise in the study of the equilibrium states of a heated bar. Very recently, there have been several papers on third-order boundary value problems. Graef and Yang 2, 3, Guo et al. 4, Hopkins ...
8
On the Existence of Solution to Multidimensional Third Order Nonlinear Equations
... nonlinear third order equa- tions (see [2, 3, 5, 8, 10, 12] and references therein), where the problem of existence and uniqueness in appropriate spaces, the problem of blow up of solutions and the problems ...
13
Existence of periodic solutions and homoclinic orbits for third order nonlinear differential equations
... the third-order differential equation ˙ x ¨ + ω 2 x ˙ = µF (x, x, ˙ x) ¨ is ...in order to reduce it to a second-order nonlinear differential ...
20
Positive Solutions for Impulsive Equations of Third Order in Banach Space
... where a ∈ C0, 1, 0, ∞, f ∈ C0, ∞, 0, ∞. The authors obtained at least one positive solutions of BVP 1.2 by using fixed-point theorem when f is sublinear or suplinear. In 8, Yao and Feng used the upper and lower solutions ...
14
Accurate estimation of third-order moments from turbulence measurements
... the third-order moments while the study by MacBride et ...of third-order moments as a function of the sample size N (the number of data points used in the ...of third-order mo- ...
12
Efficient Third Order Dependency Parsers
... our third-order parsing algo- ...our third- order factorizations; for example, the 4-gram sub- structures enabled by our approach may be useful for dependency-based language modeling in ma- ...
11
Higher-order reverse automatic differentiation with emphasis on the third-order
... the third-order derivative and its contraction with a vector, respectively, fulfils what we set out to achieve: they accumulate the desired derivative “as a whole”, thus taking advantage of overlapping ...
23
On third-order h-Jacobsthal and third-order -Jacobsthal–Lucas sequences, and related quaternions
... the third-order Jacobsthal quaternion sequence ...of third-order h-Jacobsthal quaternion, deducing some formulae for the sums of such numbers, presenting their Binet-style ...
13