Explore the vast range of titles available.

ITE welcomes the following new members who recently joined our community of transportation professionals: (M) Matthew L. Snyder, E.I.T., LEED AR (M) Bill Starkey (M) Trandon Struck (M) Matt Stubblefield (M) Carl Sundstrom (M) Derek Sunstrom, RE. (M) Tori Winters (M) Viktoriya Wise (M) Josh Workman (M) Grant Wuebben (M) Htet-Htet Wunn (M) Zach Wyche (M) Elizabeth Yarnall (M) Tabitha Yeoh (M) Gary Yeung (M) Md Yousuf, M.A.Sc., REng.

We show local well-posedness of the g-PAM and the \\(\\phi^{K+1}_2\\)-equation for \\(K\\geq 1\\) on the two-dimensional torus when the coefficient field is random and correlated to the driving noise. In the setting considered here, even when the model in the sense of Hairer (2014) is stationary, naive use of renormalisation constants in general leads to variance blow-up. Instead, we prove convergence of renormalised models choosing random renormalisation functions analogous to the deterministic variable coefficient setting. The main technical contribution are stochastic estimates on the model in this correlated setting which are obtained by a combination of heat kernel asymptotics, Gaussian integration by parts formulae and Hairer-Quastel type bounds.

Introduçâo: As exostoses sâo protuberancias ósseas que têm origem da cortical óssea. Na cavidade bucal as formas mais comuns sâo o toras palatino e o toras mandibular. Apresentam etiologia nâo comprovada, mas acredita-se que sejam alteraçôes de desenvolvimento multifatoriais. Objetivo: Apresentar um relato de caso clínico envolvendo toras palatino. Materials e Métodos: Paciente I.A.S., género masculino, 35 anos, procurau a Clínica de Cirargia Buco Maxilo Facial do Curso de Odontología - UFPE, queixando-se de um carroço no céu da boca que impedía o uso de protese. Após anamnese e exame clínico, detectou-se urna exostose óssea no palato que impedia a adaptaçâo de qualquer protese. Foram solicitados exames pré-operatórios, com sua posterior avaliaçâo e realizaçâo da cirargia. Após a profilaxia e degermaçâo das regiôes adjacentes, incisionou-se a fibromucosa palatina até atingir o osso. Os retalhos foram levantados, expondo assim o crescimento ósseo e permitindo sua exérese, em seguida, procedeu-se à irrigaçâo com soluçâo fisiológica, hemostasia, e finalmente a ferida foi suturada com pontos individuáis. Resultados: O toras palatino foi removido, possibilitando a adaptaçâo da futura prótese. Conclusäo: A cirargia pré-protética é um procedimento a ser cogitado quando houver indicaçâo, possibilitando a instalaçâo de proteses que reabilitem o paciente funcional e estéticamente.

Let$f\\;:\\; M\\rightarrow \\mathbb{C}P^{2}$be an isometric immersion of a compact surface in the complex projective plane$\\mathbb{C}P^{2}$. In this paper, we consider the Helfrich-type functional$\\mathcal{H}_{\\lambda _{1},\\lambda _{2}}(f)=\\int _{M}(|H|^{2}+\\lambda _{1}+\\lambda _{2} C^{2})\\textrm{d} M$, where$\\lambda _{1}, \\lambda _{2}\\in \\mathbb{R}$with$\\lambda _{1}\\geqslant 0$,$H$and$C$are respectively the mean curvature vector and the Kähler function of$M$in$\\mathbb{C}P^{2}$. The critical surfaces of$\\mathcal{H}_{\\lambda _{1},\\lambda _{2}}(f)$are called Helfrich surfaces. We compute the first variation of$\\mathcal{H}_{\\lambda _{1},\\lambda _{2}}(f)$and classify the homogeneous Helfrich tori in$\\mathbb{C}P^{2}$. Moreover, we study the Helfrich energy of the homogeneous tori and show the lower bound of the Helfrich energy for such tori.

We examine a modified Sprott A system, one of the 17 chaotic systems without equilibria introduced by Jafari, Sprott, and Golpayegani (2013). For specific parameter values, the modified system exhibits invariant spheres. Using a stereographic map, we analyze the stability of the equilibria and demonstrate that all orbits, except for the unstable equilibrium, converge to the stable equilibrium. For other parameter values, the system has neither invariant spheres nor equilibria. Instead, the state space is foliated by tori.

We show that closed$\\mathbb{S}\\text{ol}^{3}\\times \\mathbb{E}^{1}$-manifolds are Seifert fibred, with general fibre the torus, and base one of the flat 2-orbifolds$T,Kb,\\mathbb{A},\\mathbb{M}b,S(2,2,2,2),P(2,2)$or$\\mathbb{D}(2,2)$, and outline how such manifolds may be classified.

Consider the cubic nonlinear Schrödinger equation set on a d-dimensional torus, with data whose Fourier coefficients have phases which are uniformly distributed and independent. We show that, on average, the evolution of the moduli of the Fourier coefficients is governed by the so-called wave kinetic equation, predicted in wave turbulence theory, on a nontrivial timescale.

Carrollian manifolds offer an intrinsic geometric framework for the physics in the ultra-relativistic limit. The recently introduced Carrollian Lie algebroids are generalised to the setting of \\(\\rho\\)-commutative geometry, (also known as almost commutative geometry), where the underlying algebras commute up to a numerical factor. Via \\(\\rho\\)-Lie-Rinehart pairs, it is shown that the foundational tenets of Carrollian geometry have analogous statements in the almost commutative world. We explicitly build two toy examples: we equip the extended quantum plane and the noncommutative \\(2\\)-torus with Carrollian structures. This opens up the rigorous study of noncommutative Carrollian geometry via almost commutative geometry.

Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, i.e., they are invariant under the right action of their collapsing torus. As a byproduct of these additional torus symmetries, we prove that these solutions converge, backward in time, in the Gromov-Hausdorff topology to an Einstein metric on the base of a torus bundle.