Euclidean and complex geometries from real-time computations of gravitational Rényi entropies by Jesse Held, Xiaoyi Liu, Donald Marolf, Zhencheng Wang

“…In the semiclassical limit, such calculations are governed by Euclidean (or, more generally, complex) saddle-point geometries. We emphasize here that, at least in simple contexts, the Euclidean approach suggests an alternative formulation in terms of the bulk quantum wavefunction. …”
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On the complexity of quantum field theory by Thomas W. Grimm, Mick van Vliet

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Complexity and impact of EOS parameter on compact stellar objects under Finch–Skea geometry by Shyam Das, Megandhren Govender, Lipi Baskey

“…Abstract In the present work, we have studied the effect of equation of state (EOS henceforth) parameter on the complexity of static, self-gravitating systems. Utilizing the notion of complexity of static, spherically symmetric stars in general relativity as defined by Herrera (Phys Rev D 97:044010, 2018), we have investigated four types of EOS parameters of anisotropic stellar models. …”
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Graph Neural Network based elastic deformation emulators for magmatic reservoirs of complex geometries by Taiyi A. Wang, Ian McBrearty, Paul Segall

“…Measurements of volcano deformation are increasingly routine, but constraining complex magma reservoir geometries via inversions of surface deformation measurements remains challenging. …”
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Geometry of Manifolds and Applications by Adara M. Blaga

“…This editorial presents 24 research articles published in the Special Issue entitled <i>Geometry of Manifolds and Applications</i> of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their submanifolds, providing some of the latest achievements in many branches of theoretical and applied mathematical studies, among which is counted: the geometry of differentiable manifolds with curvature restrictions such as complex space forms, metallic Riemannian space forms, Hessian manifolds of constant Hessian curvature; optimal inequalities for submanifolds, such as generalized Wintgen inequality, inequalities involving <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-invariants; homogeneous spaces and Poisson–Lie groups; the geometry of biharmonic maps; solitons (Ricci solitons, Yamabe solitons, Einstein solitons) in different geometries such as contact and paracontact geometry, complex and metallic Riemannian geometry, statistical and Weyl geometry; perfect fluid spacetimes [...]…”
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ON PARAMETERIZED COMPLEXITY OF HITTING SET PROBLEM FOR AXIS–PARALLEL SQUARES INTERSECTING A STRAIGHT LINE by Daniel M. Khachay, Michael Yu. Khachay

“…In the general setting, the problem is NP-hard and hardly approximable. …”
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Complex degenerate metrics in general relativity: a covariant extension of the Moore–Penrose algorithm by Arthur Garnier, Emmanuele Battista

“…Applications of the new scheme to complex black hole geometries and cosmological models are also investigated, and a generalized concept of geodesics that exploits the notion of autoparallel and extremal curves is presented. …”
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A genetic algorithm to generate maximally orthogonal frames in complex space by Sebastián Roca-Jerat, Juan Román-Roche

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Art of Engineering Inspired by Nature by saeed mashayekh faridani

“…Among many distinctive characteristics of nature there are: nature’s vivacity and evolutionary character, layered structuring and amazing load carrying system, renewability and revival and diverse complex forms and geometry. Over the past two decades our goal at the Art of Engineering Workshop of the School of Architecture and Urban Design of Shahid Beheshti University, has been to try to study and understand these later mentioned characteristics of nature and to design and construct and create architectural forms using the research information’s obtained. …”
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Generalized Fractional Order Complex Lorenz System-Based Dual Layer Security Enhancement Approach by K. Meera, N. Selvaganesan

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Plastic forms of architecture in Dynamo-Revit and GrasshopperRhino-Archicad by K. A. Shumilov, Yu. A. Guryeva

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Capturing nematic order on tissue surfaces of arbitrary geometry by Julia Eckert, Toby G. R. Andrews, Joseph Pollard, Yuan Shen, Patricia Essebier, Benoit Ladoux, Anne K. Lagendijk, Rashmi Priya, Alpha S. Yap, Richard G. Morris

“…Whilst aspects of quantitative agreement have been achieved for flat monolayers, the most striking features of tissue morphogenesis—including symmetry breaking, folding and invagination—concern surfaces with complex curved geometries in three dimensions. As yet, however, characterizing such behaviors has been frustrated due to the absence of proper image analysis methods; current state-of-the-art methods almost exclusively rely on two-dimensional intensity projections of multiple image planes, which superimpose data and lose geometric information that can be crucial. …”
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Functional information technology in geometry-graphic training of engineers by Irina D. Stolbova, Evgeniya P. Aleksandrova, Konstantin G. Nosov

“…We describe the use of a complex system of information technology in various forms of training. …”
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A Knowledge and Semantic Fusion Method for Automatic Geometry Problem Understanding by Ying Wang, Wei Zhou, Yongsheng Rao, Hao Guan

“…Geometry problem understanding (GPU) is a fundamental task in machine intelligence for problem-solving, requiring more accurate and complete information extraction than general natural language understanding tasks. …”
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Pair of Associated <i>η</i>-Ricci–Bourguignon Almost Solitons with Generalized Conformal Killing Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds by Mancho Manev

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A Novel Toolbox for Generating Realistic Biological Cell Geometries for Electromagnetic Microdosimetry by Mehrdad Saviz, A.H. Buchali Safiee, Elham Sharifi

“…We have designed a free, user-friendly tool in MATLAB that combines several known or new algorithms for easy production of three-dimensional complex cell shapes based on minimum data. We have considered four different methods of creating objects: Generalized Rotation, Super-Formula, 3D reconstruction of 2D parallel cross-sections and branching models. …”
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On the Issue of Practical Orientation of Teaching Students of Technical Universities the Basics of Descriptive Geometry by L. G. Polyakov, T. D. Polyakova

“…The article presents the results of applying the practical orientation of the theoretical provisions of descriptive geometry for students studying in the direction of “Operation of transport and technological machines and complexes" of the Penza State University of Architecture and Construction. …”
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Text-Enhanced Multimodal Method for SAR Ship Classification With Geometry and Polarization Information by Jinyue Chen, Youming Wu, Wei Dai, Wenhui Diao, Yang Li, Xin Gao, Xian Sun

“…It consists of text-form geometry information embedding, polarization and visual information embedding, and a multimodal prediction module. …”
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Sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheology by Alberto M. Gambaruto, João Janela, Alexandra Moura, Adélia Sequeira

“…Newtonian and generalized Newtonian mathematical models for blood flow are compared in two different reconstructions of an anatomicallyrealistic geometry of a saccular aneurysm, obtained from rotational CTA and differing to within image resolution.The sensitivity of the flow field is sought with respect to geometry reconstruction procedure and mathematical model choice in numerical simulations.…”
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Pseudo-linear summation explains neural geometry of multi-finger movements in human premotor cortex by Nishal P. Shah, Donald Avansino, Foram Kamdar, Claire Nicolas, Anastasia Kapitonava, Carlos Vargas-Irwin, Leigh R. Hochberg, Chethan Pandarinath, Krishna V. Shenoy, Francis R. Willett, Jaimie M. Henderson

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