Conformally Flat Pseudoprojective Symmetric Spacetimes in fR,G Gravity by Uday Chand De, Sameh Shenawy, Abdallah Abdelhameed Syied, Nasser Bin Turki

“…Next, we illustrate that a conformally flat  PPSn spacetime is of constant curvature. Finally, we investigate conformally flat  PPS4 spacetimes and conformally flat  PPS4 perfect fluids in fR,G theory of gravity, and amongst many results, it is proved that the isotropic pressure and the energy density of conformally flat perfect fluid  PPS4 spacetimes are constants and such perfect fluid behaves like a cosmological constant. …”
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About the ‘Cape’. Considerations on Geometries of the Maurizio Sacripanti’s Osaka Pavilion Roof by Lorena Greco, Maria Laura Rossi, Marta Salvatore

“… This study focuses on the interpretation of the shape of double curvature surfaces, which characterize the morphology of unrealized architectural projects, particularly interesting from the point of view of shape. …”
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Structural Design and Experiment Analysis of a Morphing Wing Structure by Song Zhendong, Li Gang, Guo Bing

“…In order to verify the curvature adjustment ability and aerodynamic characteristics of the mechanism， a three-dimensional model of the mechanism is established， and the kinematics simulation and aerodynamics simulation analysis are carried out. …”
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MESHING PERFORMANCE ANALYSIS OF TAPERED ROLLER ENVELOPING END FACE MESHING WORM DRIVE (MT) by WEN YuJie, LIAO HongHui, LIU ZaiXin, LI LingYu

“…Matlab software is used to analyze the effects of small end radius, throat diameter coefficient and half cone angle of cone on the meshing performance evaluation parameters of the transmission pair induced normal curvature, lubrication angle, relative entrainment speed and self rotation angle. …”
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Proximal Hypospadias by Kate H. Kraft, Aseem R. Shukla, Douglas A. Canning

“…The spectrum of abnormalities may also include ventral curvature of the penis, a dorsally redundant prepuce, and atrophic corpus spongiosum. …”
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Peyronie's Disease: Evolving Surgical Management and the Role of Phosphodiesterase 5 Inhibitors by Tariq F. Al-Shaiji, Gerald B. Brock

“…It is characterized by different degrees of penile curvature and sexual dysfunction. Several medical treatments have been employed to manage the disorder, with variable success rates. …”
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Tomography of longitudinal phase space linearization for the generation of attosecond electron bunches by B. H. Schaap, P. Musumeci

“…The nonlinear correlations in the longitudinal phase space induced by space charge at the photocathode, radiofrequency field curvature of the gun, and vacuum dispersion are compensated using a compact X-band linearizer. …”
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Convexity and Monotonicity Preservation of Ternary 4-Point Approximating Subdivision Scheme by Ghazala Akram, M. Atta Ullah Khan, R. U. Gobithaasan, Maasoomah Sadaf, Muhammad Abbas

“…To show the graphical simulations of results, 2D graphs are plotted. Curvature plots are also drawn to fully comprehend the derived conditions. …”
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An Improved Method of Gear Geometry Contact Simulation by Wang Zhengrong, Du Jinfu, Liu Kai, Wen Jianshuang

“…To solve the problem of the contact ellipse in the geometric contact simulation of gear teeth which needs the numerical approximation of the quadratic approximation of the tooth surface and the complicated curvature derivation,the method of contact ellipse calculation based on numerical iteration is proposed. …”
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Conformal η-Ricci-Yamabe Solitons within the Framework of ϵ-LP-Sasakian 3-Manifolds by Abdul Haseeb, Meraj Ali Khan

“…In the present note, we study ϵ-LP-Sasakian 3-manifolds M3ϵ whose metrics are conformal η-Ricci-Yamabe solitons (in short, CERYS), and it is proven that if an M3ϵ with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ−ϵσ=−2ϵl+mr/2+1/2p+2/3. …”
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Burgers’ Equations in the Riemannian Geometry Associated with First-Order Differential Equations by Z. Ok Bayrakdar, T. Bayrakdar

“…We firstly show that the inviscid and viscous Burgers’ equations describe surfaces attached to an ODE of the form dx/dt=u(t,x) with certain Gaussian curvatures. In the case of PDEs, we show that the scalar curvature of a three-dimensional manifold encoding a system of first-order PDEs is determined in terms of the integrability condition and the Gaussian curvatures of the surfaces corresponding to the integral curves of the vector fields which are annihilated by the contact form. …”
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Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time Machine by Faizuddin Ahmed

“…The space-time is regular everywhere except on the symmetry axis where it possesses a naked curvature singularity and admits one parameter isometry group, a generator of axial symmetry along the cylinder which has closed orbits. …”
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Bilateral Circumscribed Posterior Keratoconus: Visualization by Ultrasound Biomicroscopy and Slit-Scanning Topography Analysis by Robert Rejdak, Katarzyna Nowomiejska, Dariusz Haszcz, Anselm G. M. Jünemann

“…The amount of localized posterior depression, corneal thickness and the refractive power of both the posterior and anterior corneal curvature were measured using slit-scanning topography analysis (Orbscan).…”
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Predicting the Degree of Coronary Artery Stenosis Through Retinal Vascular Characteristics and Minimal Clinical Information by Zhang G, Ding Y, Ma T, Zhou S, Wang B, Chang X, Zeng Y

“…Fundus images were obtained via non-dilated fundus photography, and retinal arteriovenous diameters, arteriovenous ratios, curvatures, and dimensions were subsequently measured automatically using a computer program.Results: Pearson’s correlation coefficients between the Gensini Score and fundus vascular characteristics were found to be as follows: The diameters of the superior temporal artery (− 0.08), The diameters of the superior temporal vein (− 0.03), the arteriovenous diameter ratio (− 0.10), the retinal arterial dimension (− 0.09), the retinal vein dimension (− 0.06), the retinal arterial curvature (− 0.06), the retinal vein curvature (− 0.01). …”
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A robust multimodal brain MRI-based diagnostic model for migraine: validation across different migraine phases and longitudinal follow-up data by Jong Young Namgung, Eunchan Noh, Yurim Jang, Mi Ji Lee, Bo-yong Park

“…Morphological features, including cortical thickness, curvature, and sulcal depth, and functional connectivity features, such as low-dimensional representation of functional connectivity (gradient), degree centrality, and betweenness centrality, were utilized. …”
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Motion Trajectory Planning and Design of Material Spraying Service Robot by Gang Wang, Hongyuan Wen, Jun Feng, Jun Zhou

“…The experimental results in this paper show that when the spraying radii on the large-curvature cone surface are 44.5 and 49.5 mm, respectively, the coating distribution in the intersection area of the curved surfaces can be well controlled, and the optimized algorithm can better plan the path of the spraying robot.…”
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An Adaptive Time-Stepping Algorithm for the Allen–Cahn Equation by Chaeyoung Lee, Jintae Park, Soobin Kwak, Sangkwon Kim, Yongho Choi, Seokjun Ham, Junseok Kim

“…The mathematical equation is a building block for modelling many interesting interfacial phenomena such as dendritic crystal growth, multiphase fluid flows, and motion by mean curvature. The proposed adaptive time-stepping algorithm is based on the Runge–Kutta–Fehlberg method, where the local truncation error is estimated by using fourth- and fifth-order numerical schemes. …”
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Auxiliary field deformations of (semi-)symmetric space sigma models by Daniele Bielli, Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli

“…We demonstrate that every theory in this infinite class admits a zero-curvature representation for its equations of motion by exhibiting a Lax connection.…”
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The Quantization of a Kerr-AdS Black Hole by Claus Gerhardt

“…We also prove that the Kerr-AdS space-time can be maximally extended by replacing in a generalized Boyer-Lindquist coordinate system the r variable by ρ=r2 such that the extended space-time has a timelike curvature singularity in ρ=-a2.…”
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Power loss analysis for the optical cavity of an x-ray laser oscillator by Ganesh Tiwari, Li Hua Yu, Xi Yang, Timur Shaftan, Victor Smaluk

“…For the lens, we include focusing and curvature effects while we include angular filtering due to finite Darwin width of the Bragg crystal. …”
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