Moments Match between the KPZ Equation and the Airy Point Process di Borodin, Alexei, Gorin, Vadim

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Sampling Algebraic Varieties for Sum of Squares Programs di Cifuentes, Diego Fernando, Parrilo, Pablo A.

“...For arbitrary varieties, we can obtain the required samples by using the tools of numerical algebraic geometry. In this way we connect the areas of SOS optimization and numerical algebraic geometry....”
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Additive invariants of orbifolds di Tabuada, Gonçalo, Van den Bergh, Michel

“...Keywords: orbifold; algebraic K–theory; cyclic homology; topological Hochschild homology; Azumaya algebra; standard conjectures; noncommutative algebraic geometry...”
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Affine Springer fibers and the representation theory of small quantum groups and related algebras di Boixeda Alvarez, Pablo.

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Mechanics of biomimetic 4D printed structures di van Rees, Wim M, Matsumoto, Elisabetta A, Gladman, A Sydney, Lewis, Jennifer A, Mahadevan, L

“...Such structures are typically printed in a planar configuration and, when exposed to an ambient stimulus such as heat or humidity, swell into a desired three-dimensional geometry. Viewed through the lens of differential geometry and elasticity, the application of the physical stimulus can be understood as a local change in the metric of a two dimensional surface embedded in three dimensions. ...”
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Learning Low-Level Priors from Images for Inference and Synthesis di Sharma, Prafull

“...In this thesis, we discuss learning priors over low-level properties to facilitate inference of geometry, static-dynamic disentanglement, and material properties. ...”
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Tunability of Electrospun Scaffolds for Tissue Engineering di Chyr, Gloria Un

“...Scaffold porosity is substantially more affected by the grounded collector geometry. By modifying collector geometry, pore size can be controlled without affecting fiber morphology and the deposition of gelatin nanofibers can be aligned or patterned to mimic natural tissue scaffolds. ...”
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Feature Matching for Object Localization in the Presence of Uncertainty di Cass, Todd Anthony

“...The problem is to construct sets of model feature and sensory data feature pairs that are geometrically consistent given that there is uncertainty in the geometry of the sensory data features. If there is no geometric uncertainty, polynomial-time algorithms are possible for feature matching, yet these approaches can fail when there is uncertainty in the geometry of data features. ...”
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Centrifugal compressor return channel shape optimization using adjoint method di Guo, Wei, S.M. Massachusetts Institute of Technology

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Scour downstream of unsubmerged non-full flowing trapezoidal culvert outlet di Tan, Jeremy Jin Ping.

“...Hence, this indicates that the culvert shape does have an impact on the scour hole geometry...”
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Measurement and modeling of airflow around buildings di Lim, Tianshun

“...The aims are to investigate how building geometry, height and configuration affect the flow around the buildings, natural ventilation potential and thermal comfort. ...”
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An evaluation of the Double Torsion technique di Becker, T, Marrow, T, Tait, R

“...Revisions of the proposed analysis methodologies show that a crack length independent specimen geometry can be achieved, however at the cost of less accurate data. ...”

Development and applications of a coupled particle deposition—dynamic mesh morphing approach for the numerical simulation of gas turbine flows di Forsyth, P, Gillespie, D, McGilvray, M

“...Numerical simulation to date has largely ignored the effects of resultant changes in the passage geometry due to the build-up of deposited particles. ...”

Modelling evolution and the evolving mechanical environment of saccular cerebral aneurysms. di Watton, P, Selimovic, A, Raberger, N, Huang, P, Holzapfel, G, Ventikos, Y

“...The perturbation to the geometry creates an altered haemodynamic environment. ...”

Controlled initiation of short fatigue cracks in 316L steel di Stefanescu, D, Marrow, J, Preuss, M, Sherry, A, ASME

“...The technique described in this paper enables single short fatigue cracks of well defined geometry to be nucleated under tensile cyclic loading. ...”

Use of an Immersed Mesh for High Resolution Modeling of Film Cooling Flows di Lad, B, He, L

“...Furthermore, the process of meshing cooling holes is not only time consuming but cumbersome; thus making the parametric study of film cooling effectiveness for a given blade geometry, using hole geometry and distribution, very difficult in a design environment. ...”

Backscatter and dose perturbations for low- to medium-energy electron point sources at the interface between materials with different atomic numbers. di Buffa, F, Verhaegen, F

“...The BSDF was quantified in a parallel layers geometry (BSDF(1D)) and three-dimensional voxel geometry (BSDF(3D)). ...”

Combined Hydrodynamic and Diffraction Simulations of Femtosecond X-ray Scattering from Laser-Shocked Crystals di Wark, J, Higginbotham, A, Milathianaki, D, Gleason, A

“...Judicious choice of geometry allows clear demarcation of the initial elastic response of the target to be made from the subsequent plastic relaxation. ...”

Geometric thinking of Malaysian elementary school students di Md. Yunus, Aida Suraya, Mohd Ayub, Ahmad Fauzi, Tan, Tong Hock

“...Geometry is one of the basic skills to be mastered in Malaysian mathematics education. ...”

Mathematics achievement based on gender among eight grade school students in Jordan di Rabab’h, Belal Sadiq Hamed, Veloo, Arsaythamby, Perumal, Selvan

“...The purpose of this study is to identify the differences in gender base on numbers, algebra, geometry and mathematics achievement among Jordanian 8th grade school students.The respondent of this study were 337 students from eight public secondary schools in Alkoura district and selected by using stratified random sampling. ...”