Codimension-two free boundary problems by Gillow, K

“…In Chapter 1 the typical geometries required for such problems, the main mathematical techniques and the methodology used are discussed. …”

Ab initio rate constants from hyperspherical quantum scattering: application to H+C2H6 and H+CH3OH. by Kerkeni, B, Clary, D

“…Single point energies are calculated on the optimized geometries with the coupled cluster theory and the same basis set. …”

Eye-to-eye with a mega-sheath fold: A case study from Wadi Mayh, northern Oman Mountains by Searle, M, Alsop, G

“…These eye folds display highly elliptical geometries (Ryz > 5) and cat's-eye fold patterns consistent with simple/general shear. …”

Electronic structure of strained silicon- and sulfur-bridged [1]ferrocenophanes and an analogous dicarbon-bridged [2]ferrocenophane: An investigation by photoelectron spectroscopy... by Barlow, S, Drewitt, M, Dijkstra, T, Green, J, O'Hare, D, Whittingham, C, Wynn, H, Gates, D, Manners, I, Nelson, J, Pudelski, J

“…Density functional calculations on 1, 5, and 6 give geometries in good agreement with the structures found from X-ray diffraction. …”

The tethered aminohydroxylation of allylic carbamates by Johnson, P, Donohoe, T, Pete Johnson

“…</p> <p><em>Scope of the reaction</em></p> <p>This section details the results of the TA reaction as applied to further allylic carbamates demonstrating the applicability of the reaction to other olefinic geometries. The diastereoselectivity of the reaction in cyclic and acyclic systems is reported, and a model to explain the observed results discussed. …”

Dosimetric validation of SmART-RAD Monte Carlo modelling for x-ray cabinet radiobiology irradiators by Hill, MA, Staut, N, Thompson, JM, Verhaegen, F

“…This is particularly important when trying to determine the dose distribution in more complex geometries. The use of such a tool can improve reproducibility and dosimetry reporting in preclinical radiobiological research.…”

Bayesian optimization in adverse scenarios by Daulton, S

“…This line of research is motivated by the challenging task of designing optical displays for augmented reality to optimize visual quality and efficiency, where the designs are specified by high-dimensional parameterizations governing complex geometries. Our proposed trust-region based algorithm yields order-of-magnitude improvements in sample complexity on this problem. …”

Higgs bundles for N=1 gauge theories by Hübner, M

“…The first is purely geometric and involves compactifying M-theory on singular manifolds of G2-holonomy. The geometries studied are ALE-fibered over a compact base M3. …”

X-ray and neutron diffraction studies and MD simulation of atomic configurations in polyamorphic Y2O3-Al2O3 systems. by Wilding, M, Wilson, M, McMillan, P

“…However, the data indicate that substantial changes occur among the packing geometries and clustering of the Al-O and Y-O coordination polyhedra, i.e. within the second-nearest-neighbour shell defined by the metal-metal (i.e. …”

Passive acoustic mapping of extravasation following ultrasound-enhanced drug delivery by Paverd, C, Lyka, E, Elbes, D, Coussios, C

“…Thus as a secondary objective, we evaluate tradeoffs between adaptive and non-adaptive beamformers, as well as between dual and single array geometries. When compared to a conventional beamformer, adaptive beamformers reduce the maximum distance of PAM pixels to extravasated particles from an average of mm to mm in the single array case. …”

Synthesis of cyclo[18]carbon via debromination of C18Br6 by Scriven, LM, Kaiser, K, Schulz, F, Sterling, AJ, Woltering, SL, Gawel, P, Christensen, KE, Anderson, HL, Gross, L

“…The experimental images of C₁₈&nbsp;were compared with simulated images for four theoretical model geometries, including possible bond-angle alternation:&nbsp;<em>D</em>_18<em>h</em>&nbsp;cumulene,&nbsp;<em>D</em>_9<em>h</em>&nbsp;polyyne,&nbsp;<em>D</em>_9<em>h</em>&nbsp;cumulene, and&nbsp;<em>C</em>_9<em>h</em>&nbsp;polyyne. …”

The mechanics of growth and residual stress in biological cylinders by O'Keeffe, S

“…The theory of 3-D elasticity is analytically tractable in modelling mechanical properties in simple geometries such as a cylinder. On the other hand, rod theory is well-suited for geometrically-complex deformations, but is unable to account for residual stress.…”

Investigation of the electronic and geometric structures of the (110) surfaces of arsenopyrite (FeAsS) and enargite (Cu3AsS4) by Corkhill, C, Warren, M, Vaughan, D

“…In this study, bulk calculations of these minerals have been conducted to give consistent geometries for surface models and to establish reference states for changes at the surfaces in these models. …”

Digital materiality: creativity and collaboration in digital design at 3XN Architects and GXN Innovation by Poulsgaard, KS

“…I find that computational tools allow for intuitive creation of advanced 3D geometries. They integrate the mathematics and numerical calculations that underlie these into digital models that expand from being technical tools to also becoming vital design platforms at 3XN Architects and GXN Innovation. …”

Coherent unsteadiness in film cooling by Fawcett, R

“…However, results from other studies upon more simplified geometries, suggest that coherent unsteadiness is likely to also be present in film cooling flows. …”

Triaxial mechanical characterization of ultrasoft 3D support bath-based bioprinted tubular GelMA constructs by Torza, A, Zgeib, R, Wang, X, Zaeri, A, Zhang, F, Cao, K, Chang, R, Weickenmeier, J

“…Although this approach enables arbitrary geometries to be printed, preserving shape and mechanical integrity after the construct is extracted from the support bath is one of the main challenges today. …”

Size ranges of magnetic domain states in tetrataenite by Mansbach, E, Shah, J, Williams, W, Maurel, C, Bryson, J, Weiss, B

“…We present the results of analytical calculations and micromagnetic modeling of isolated tetrataenite grains with various geometries. We find that tetrataenite forms a stable single domain state at grain lengths between 6 and ∼160 nm dependent on its elongation. …”

Partial fusion of a cytochrome P450 system by carboxy-terminal attachment of putidaredoxin reductase to P450cam (CYP101A1) by Johnson, E, Wong, L

“…Previous attempts to address this have fused all three components in several permutations and geometries, with much reduced activity compared to the native system. …”

The effect of different control point sampling sequences on convergence of VMAT inverse planning. by Pardo Montero, J, Fenwick, J

“…Results are presented in this study for two clinical geometries, prostate and head-and-neck treatments. A dependence of the quality of the final solution on the number of starting control points has been observed, in agreement with previous works. …”

Coastal Modelling Environment version 1.0: a framework for integrating landform-specific component models in order to simulate decadal to centennial morphological changes on comple... by Payo, A, Favis-Mortlock, D, Dickson, M, Hall, JW, Hurst, MD, Walkden, MJA, Townend, I, Ives, MC, Nicholls, RJ, Ellis, MA

“…This avoid the problems that result from the model-coupling approach due to between-model differences in the conceptualizations of geometries, volumes and locations of sediment. In the proposed framework, the Coastal Modelling Environment (CoastalME), change in coastal morphology is represented by means of dynamically linked raster and geometrical objects. …”