Distributed SLAM Using Improved Particle Filter for Mobile Robot Localization by Fujun Pei, Mei Wu, Simin Zhang

“…And this paper extends the previously known convergence results for particle filter to prove that improved particle filter converges to the optimal filter in mean square as the number of particles goes to infinity. The experiment results show that the proposed algorithm improved the virtue of the DPF-SLAM system in isolate faults and enabled the system to have a better tolerance and robustness.…”
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DESIGN OF THE MULTIORDER INTRAOCULAR LENSES by V. G. Kolobrodov, G. S. Tymchik, I. O. Kuchugura

“…An optical system of an eye with an intraocular lens that provides sharp vision of objects located at a distance of 700 mm to infinity is modeled.…”
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Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance by Rodolfo Casana, Lucas Sourrouille

“…The self-dual or Bogomolnyi equations produce an infinity number of soliton solutions by choosing conveniently the generalizing function ω1(|ϕ|) which must be able to provide a finite magnetic field. …”
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Robust Semiparametric Optimal Testing Procedure for Multiple Normal Means by Peng Liu, Chong Wang

“…We show that the proposed test achieves the maximum average power asymptotically as the number of tests goes to infinity. Both simulation study and the analysis of a real microarray data with spike-in probes show that the proposed SPOT procedure performs better when compared to other popularly applied procedures.…”
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Multiplicity of Solutions for a Class of Elliptic Problem of p-Laplacian Type with a p-Gradient Term by Zakariya Chaouai, Soufiane Maatouk

“…The key idea is to replace the former condition by the nonquadraticity condition at infinity.…”
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An innovative analytical method utilizing aboodh residual power series for solving the time-fractional newell-whitehead-segel equation by Seyed Edalatpanah, Eisa Abdolmaleki

“…A primary feature of our proposed method is its simplicity in computing the coefficients of terms in a series solution using the straightforward concept of limits at infinity. The effectiveness of the proposed approach is demonstrated through graphical and numerical data. …”
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Non-homogeneous BVPs for second-order symmetric Hamiltonian systems by Chen Yingying, Dong Yujun, Wang Baiqian

“…By making use of Bolle’s method, we show that the following problem has infinitely many solutions: x¨+V′(x)=0,x(0)cosα−x˙(0)sinα=x0,x(1)cosβ−x˙(1)sinβ=x1,\begin{array}{rcl}\ddot{x}+{V}^{^{\prime} }\left(x)& =& 0,\\ x\left(0)\cos \alpha -\dot{x}\left(0)\sin \alpha & =& {x}_{0},\\ x\left(1)\cos \beta -\dot{x}\left(1)\sin \beta & =& {x}_{1},\end{array} where α,β∈(0,π)x0,x1∈Rn\alpha ,\beta \in \left(0,\pi ){x}_{0},{x}_{1}\in {{\rm{R}}}^{n} are given and V∈C2(Rn,R)V\in {C}^{2}\left({{\rm{R}}}^{n},{\rm{R}}) is even and is super-quadratic at infinity.…”
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Underwater Sonar Signals Recognition by Incremental Data Stream Mining with Conflict Analysis by Simon Fong, Suash Deb, Raymond Wong, Guangmin Sun

“…Since sonar signal data streams can amount to infinity, the data preprocessing time must be kept to a minimum to fulfill the need for high speed. …”
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Optimality criteria for deterministic discrete-time infinite horizon optimization by Irwin E. Schochetman, Robert L. Smith

“…Our main result concerns the case where the discounted per-period costs converge to zero, while the discounted total costs diverge to infinity. Under the assumption that we can reach from any feasible state any feasible sequence of states in bounded time, we show that every efficient solution is also overtaking, thus providing a sufficient condition for overtaking optima to exist.…”
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Tauberian-Cardy formula with spin by Sridip Pal, Zhengdi Sun

“…We investigate density of states in the regime where spin is parametrically larger than twist with both going to infinity. Moreover, the large central charge regime is studied. …”
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On the Regular Integral Solutions of a Generalized Bessel Differential Equation by L. M. B. C. Campos, F. Moleiro, M. J. S. Silva, J. Paquim

“…The solutions of the generalized Bessel differential equation are obtained for all possible combinations of the two complex parameters, order and degree, and finite complex variable, as Frobenius-Fuchs series around the regular singularity at the origin; the series converge in the whole complex plane of the variable, except for the point-at-infinity, that is, the only other singularity of the differential equation. …”
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Investigations of Optical Coulomb Blockade Oscillations in Plasmonic Nanoparticle Dimers by Lamessa Gudata, Jule Leta Tesfaye, Abela Saka, R. Shanmugam, L. Priyanka Dwarampudi, Nagaraj Nagaprasad, B. Stalin, Ramaswamy Krishnaraj

“…The linear conductance through the dot is defined as G=lim⟶0I/V in the limit of infinity of small bias voltage. We discuss the classical and quantum metallic Coulomb blockade oscillations. …”
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Stable-to-unstable transition in quantum friction by Daigo Oue, J. B. Pendry, Mário G. Silveirinha

“…Remarkably, we also find that the frictional force diverges to infinity as the relative velocity of the plates approaches a threshold. …”
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Multiple Positive Solutions of Singular Nonlinear Sturm-Liouville Problems with Carathéodory Perturbed Term by Yuefeng Han, Xinguang Zhang, Lishan Liu, Yonghong Wu

“…This equation is viewed as a perturbation of the fourth-order Sturm-Liouville problem, where the perturbed term g:(0,1)×[0,+∞)×(-∞,+∞)→(-∞,+∞) only satisfies the global Carathéodory conditions, which implies that the perturbed effect of g on f is quite large so that the nonlinearity can tend to negative infinity at some singular points.…”
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Fixed-Time Convergent Guidance Law with Impact Angle Control by Zhongtao Cheng, Hao Wu, Bo Wang, Lei Liu, Yongji Wang

“…However, guidance law based on the Lyapunov asymptotic stability theory would lead the states to zero only as time approaches infinity, which is imperfect theory. The convergence time for guidance laws based on finite-time stable theory is dependent on the initial states. …”
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Prediction of Outcomes in Sports Under Probability in Kigezi Region. by Masereka, Jairus

“…The Poisson distribution is also the limit of a binomial distribution, for which the probability of success for each trial equals λ divided by the number of trials, as the number of trials approaches infinity. The study concludes that the prediction of outcomes in sports, particularly in the Kigezi region, relies heavily on the application of probability theory. …”
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Is it possible to do theology without philosophical presuppositions? by D. F. M. Strauss

“…The (theo-ontological) circle is completed when these “properties” (for example the infinity of God) are then, in a derivative sense, brought back to the domain of creation from where it was “kidnapped” in the first place. …”
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Bistatic High Frequency Radar Ocean Surface Cross Section for an FMCW Source with an Antenna on a Floating Platform by Yue Ma, Weimin Huang, Eric W. Gill

“…The second-order radar cross section for the FMCW waveform reduces to that for the pulsed waveform when the scattering patch limit approaches infinity. The effect of platform motion on the radar cross sections for an FMCW waveform is investigated for a variety of sea states and operating frequencies and, in general, is found to be similar to that for a pulsed waveform.…”
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Quasinormal modes of three $$(2+1)$$ ( 2 + 1 ) -dimensional black holes in string theory, conformal gravity, and Hu–Sawicki F(R) theory via the Heun function by F. Naderi, A. Rezaei-Aghdam

“…The distribution of the quasinormal modes has been clarified to satisfy the boundary conditions that require ingoing and decaying waves at the event horizon and conformal infinity, respectively. It turned out that the procedure based on the Heun function, beside reproducing the previously known results obtained via hypergeometric function for the BTZ and Lifshitz black hole solution in conformal gravity, brings up new families of quasinormal frequencies, which can also contain purely imaginary modes. …”
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The role of structural viscoelasticity in deformable porous media with incompressibleconstituents: Applications in biomechanics by Maurizio Verri, Giovanna Guidoboni, Lorena Bociu, Riccardo Sacco

“…Here, for the first time, we show that the fluid velocity within the medium could increase tremendously, even up to infinity, should the external applied load experience sudden changes in time and the structural viscoelasticity be too small. …”
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