MathematicsAlgorithmsTopologyJournal of Computational Geometry2020Discrete geometryProjective geometriesCombinatoricsDynamicsAffineGeometricTheoryDifferential GeometryMathematiciansTheoreticalFinite2019InvariantGeographic informaEuclideanVarietiesChemistryQuantitativeRepresentationTransformationsCalculationRiemannSymposiumMethodsAlgebrasBioinformaticsConnectionsAdvancesStructuresApplicationsFundamentalMolecular1978ResearchSearchDataMachine LearningHttpsSpatialAcademicMolecule
Mathematics13
- The Journal of Computational Geometry (JoCG) is an open access mathematics journal that was established in 2010. (wikipedia.org)
- Applied and computational mathematics - nonlinear phenomena. (warwick.ac.uk)
- Welcome to the realm of finite geometry , where mathematics delves into the properties of these intriguing finite structures. (freescience.info)
- One fascinating aspect of mathematics is the diversity of geometries it encompasses, including finite geometries. (freescience.info)
- Euclidean geometry, taught by a mathematics teacher, encompasses the familiar geometric principles we encounter in our everyday lives, such as vertical lines and various axioms. (freescience.info)
- Each type of geometry, such as analytical geometry, finite geometry, and Euclidean geometry, has its own set of rules and properties that make it unique in the field of mathematics. (freescience.info)
- however, it opens up new avenues for exploration and analysis in analytical geometry and the geometric dimension of the euclidean plane in mathematics. (freescience.info)
- The study of finite geometries helps mathematicians apply and prove theorems in mathematics. (freescience.info)
- These geometries are fundamental in the study of mathematics, particularly in the context of geometric dimension and the Euclidean plane. (freescience.info)
- In combinatorics, a branch of mathematics that deals with counting objects or arrangements, finite geometries provide useful models for exploring various combinatorial problems. (freescience.info)
- In algebraic geometry, the study of mathematics, finite geometries offer insights into the behavior of algebraic equations over finite fields . (freescience.info)
- Finite geometries serve as powerful tools for understanding both combinatorics and algebraic geometry, providing researchers with valuable frameworks for analysis and exploration in mathematics. (freescience.info)
- The impact of the Erlangen Program on geometry and mathematics broadly was very profound. (kdnuggets.com)
Algorithms2
- It is about algorithms and computational techniques which can be stated in terms of geometry. (umich.edu)
- The Computational Geometry course will focus on exploring and developing algorithms that help students create an architecture of unimaginable forms, with an unseen levelof detail, and with entirely new spatial articulation. (umich.edu)
Topology1
- I worked in parternship with the SmartData@PoliTO center to develop new methods combining computational topology and machine learning to provide qualitative understanding of data. (uniroma2.it)
Journal of Computational Geometry4
- The Journal of Computational Geometry is abstracted and indexed in MathSciNet, Zentralblatt Math, and the Emerging Sources Citation Index. (wikipedia.org)
- Editorial policies Archived 2017-01-07 at the Wayback Machine, Journal of Computational Geometry, retrieved 2017-01-06. (wikipedia.org)
- Editorial team, Journal of Computational Geometry, retrieved 2017-01-06. (wikipedia.org)
- Journal Information for "Journal of Computational Geometry", MathSciNet, retrieved 2017-01-06. (wikipedia.org)
20202
- From 2020 to 2022, I have been a postdoc fellow at the Politecnico di Torino with major interest in computational aspects in persistence module decompositions. (uniroma2.it)
- The series of the Japan Conference on Discrete and Computational Geometry, Graphs, and Games (JCDCG3) has been held annually since 1997, except for 2008 and 2020. (wikicfp.com)
Discrete geometry1
- Functional analysis, high-dimensional and discrete geometry, information theory. (warwick.ac.uk)
Projective geometries2
- For instance, projective geometries exhibit intriguing characteristics such as duality, where points and lines interchange roles. (freescience.info)
- Thus, the group of rigid motions leads to the traditional Euclidean geometry, while affine or projective transformations produce, respectively, the affine and projective geometries. (kdnuggets.com)
Combinatorics2
- Finite geometries, including projective, affine, and Euclidean geometries , are of great importance in combinatorics and algebraic geometry . (freescience.info)
- Finite geometries play an integral role in both combinatorics and algebraic geometry due to their rich interplay with discrete structures and algebraic equations. (freescience.info)
Dynamics1
- In this paper, we present an approach that can solve the electoral districting problems by integrating the technologies of dynamics programming, computational geometry as well as the geographic information systems. (atlantis-press.com)
Affine3
- Given a divergence function in a manifold, we can derive a Riemannian metric and a dual pair of affine connections, which are the essential constituents of Information Geometry. (mpg.de)
- Projective geometry explores properties that remain invariant under projection, while affine geometry focuses on preserving parallelism and ratios. (freescience.info)
- Affine geometries emphasize transformations like translations and rotations to maintain parallelism. (freescience.info)
Geometric1
- In the case of a family of probability distributions, its information-geometric structure is given from the invariance property. (mpg.de)
Theory6
- Algebraic geometry, representation and invariant theory, derived category methods in birational geometry, birational automorphism groups, unramified cohomology and applications of K-theory in birational geometry. (warwick.ac.uk)
- Communication and information theory, coding, Signal processing, image processing, machine learning and reinforcement learning, applied stochastic processes with applications to communications networks and images. (huji.ac.il)
- The goal of this Semester Program is to bring together a variety of mathematicians with researchers working in theoretical and computational neuroscience as well as some theory-friendly experimentalists. (brown.edu)
- Finite geometry finds its applications in diverse fields such as coding theory, cryptography, and design theory . (freescience.info)
- In my talk I provide quantum analogues ofcertain well-known inequalities from classical Information Theory,with the most notable being the isoperimetric inequality forentropies. (rutgers.edu)
- Klein used the formalism of group theory to define such transformations and use the hierarchy of groups and their subgroups in order to classify different geometries arising from them. (kdnuggets.com)
Differential Geometry1
- Advanced 5day course, immediately before the 8th International Conference on Differential geometry and its applications (27-31 August 2001). (geometry.net)
Mathematicians2
- By studying finite geometries with limited elements, mathematicians can gain deeper insights into the underlying structures present within the larger infinite spaces of analytical geometry. (freescience.info)
- However, these constructions had quickly diverged into independent and unrelated fields, with many mathematicians of that period questioning how the different geometries are related to each other and what actually defines a geometry. (kdnuggets.com)
Theoretical2
- To bring together researchers working on visualization (i) from a theoretical point of view (graph drawing, computational geometry, and cognition), (ii) from a temporal point of view (visual analytics and information visualization over time, HCI), and (iii) from a space-time point of view (cartography, GIScience). (dagstuhl.de)
- This intermolecular contribution to hydrogen-bond geometry in a quantitative way even for to the shielding tensor is due to induced electronic currents in condensed phases.8-12 To fully capitalize on these theoretical nearby molecules and to the perturbing effect of intermolecular advances, one would like to experimentally determine the interactions on the electron distribution and nuclear geometry shielding anisotropy in liquids. (lu.se)
Finite4
- By exploring the intricacies of finite projective geometry and finite arithmetics , we unlock valuable insights that have real-world implications. (freescience.info)
- In this discussion, we'll dive into the captivating realm of finite spaces and fields in analytical geometry. (freescience.info)
- The defining feature of finite geometries lies in their finite nature -there are only a finite number of points and lines within these systems. (freescience.info)
- For example, the Fano plane, a finite projective geometry with seven points and seven lines, is often used as a fundamental object in combinatorial designs . (freescience.info)
20191
- 4. L. Oeding, C. Raicu, S. V Sam, On the (non-)vanishing of syzygies of Segre embeddings, Algebraic Geometry 6 (5) (2019) 571--591, doi:10.14231/AG-2019-026, arXiv: 1708.03803. (auburn.edu)
Invariant1
- Klein's Erlangen Program approached geometry as the study of properties remaining invariant under certain types of transformations. (kdnuggets.com)
Geographic informa2
- The ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems 2013 (ACM SIGSPATIAL GIS 2013) is the twenty-first event in a series of symposia and workshops that began in 1993 with the aim of bringing together researchers, developers, users, and practitioners in relation to novel systems based on geo-spatial data and knowledge, and fostering interdisciplinary discussions and research in all aspects of geographic information systems. (wikicfp.com)
- Best Poster Award Runners up at 23rd ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems 2015 (ACMGIS) for "There and Back Again: Using Fréchet-Distance Diagrams to Find Trajectory Turning Points. (uni-wuerzburg.de)
Euclidean5
- The idea is to map the objects of a data set to points in a Euclidean space such that the points preserve the given ordinal distance information as well as possible (with respect to the Euclidean interpoint distances). (rutgers.edu)
- It's a branch of study that offers a fresh perspective, distinct from classical Euclidean geometry . (freescience.info)
- We'll explore theorems, theories, and facts that unravel the mysteries within these bounded geometries on the euclidean plane. (freescience.info)
- Meanwhile, Euclidean geometries adhere to the classical axioms established by Euclid himself. (freescience.info)
- 2D Euclidean geometry is defined by rigid transformations (modeled as the isometry group) that preserve areas, distances, and angles, and thus also parallelism. (kdnuggets.com)
Varieties1
- Algebraic geometry, especially classification, birational geometry and constructions of varieties (both using computational algebra and not). (warwick.ac.uk)
Chemistry3
- ComQum-Exafs is a combination of computational chemistry (either quantum chemistry, molecular mechanics, or QM/MM) and EXAFS refinement. (lu.se)
- QM+EXAFS: Y.-W. Hsiao, Y. Tao, J. E. Shokes, R. A. Scott, and U. Ryde (2006) "EXAFS structure refinement supplemented by computational chemistry", Phys. (lu.se)
- QM/MM+EXAFS: U. Ryde, Y.-W. Hsiao, L. Rulí š ek & E. I. Solomon (2007) "Identification of the peroxy adduct in multi-copper oxidases by a combination of computational chemistry and EXAFS measurements", J. Am. Chem. (lu.se)
Quantitative2
- Sequences of numbers and their limits: formal definition of the limit, examples of proofs of their computational rules, visual representation of convergence of recursive sequences, quantitative approximations. (lu.se)
- To support both the groundwater and water-distribution system efforts, ATSDR should conduct in depth searching of records for additional quantitative data and detailed information of interconnections between the water-distribution systems. (cdc.gov)
Representation1
- We believe that the current state of affairs in the field of deep (representation) learning is reminiscent of the situation of geometry in the nineteenth century: on the one hand, in the past decade, deep learning has brought a revolution in data science and made possible many tasks previously thought to be beyond reach - whether computer vision, speech recognition, natural language translation, or playing Go. (kdnuggets.com)
Transformations1
- The breakthrough insight of Klein was to approach the definition of geometry as the study of invariants , or in other words, structures that are preserved under a certain type of transformations ( symmetries ). (kdnuggets.com)
Calculation1
- Preferably, you should have first run a geometry optimisation and then a frequency calculation. (lu.se)
Riemann1
- For the first time in nearly two thousand years after Euclid, the construction of projective geometry by Poncelet , hyperbolic geometry by Gauss, Bolyai, and Lobachevsky, and elliptic geometry by Riemann showed that an entire zoo of diverse geometries was possible. (kdnuggets.com)
Symposium1
- Along with its regularly contributed papers, the journal has since 2014 invited selected papers from the annual Symposium on Computational Geometry to a special issue. (wikipedia.org)
Methods5
- The book Polyhedral and Algebraic Methods in Computational browser offers to modify a interpreting and working Memory for humanity introductions. (turnageco.com)
- book Polyhedral and Algebraic Methods in Computational AT 1: history: what is life? (turnageco.com)
- Home Bikkhu Sujato on the cultural book Polyhedral and Algebraic Methods in Computational Geometry for catalog individuals the fractured two interviews and I were Much to navigate you your experiences on the Vinaya for upper people of the war until I had that Kadampa company has it socialist. (turnageco.com)
- book Polyhedral and Algebraic Methods in Computational Geometry scholars like Dark Mode, Stacks, and four respected willing frameworks, macOS Mojave makes you authorise more out of every power. (turnageco.com)
- Indefinite integrals: proofs and applications of basic computational rules and integration methods, such as change of variables, partial integration and use of partial fraction decomposition. (lu.se)
Algebras1
- Eighth annual workshop on Groupoids and their applications to C* Algebras, geometry, and Physics. (geometry.net)
Bioinformatics1
- In CSB'08: 7th Conference on Computational Systems Bioinformatics. (uni-marburg.de)
Connections3
- It consists of the Fisher information metric and the alpha connections. (mpg.de)
- In the vicinity of a phase transition, even a tiny change in some local parameter can result in dramatic changes in the macroscopic properties of the entire system. Random discrete structures are also useful mathematical models of large networks, which play a central role in our social and economic lives as the fabric over which we interact, form social connections, conduct economic transactions, transmit information, propagate disease, and much more. (brown.edu)
- Desarguesian projective planes, a significant concept in Euclid's theorem, exhibit fascinating properties that shed light on the connections between algebra and geometry. (freescience.info)
Advances1
- As a result of recent advances in ab initio computational tensor is affected when a molecule is brought from an ideal methodology, it is now possible to relate the shielding tensor gas into a condensed phase. (lu.se)
Structures5
- Such DNA origami structures are information-bearing nanostructures by nature with well-defined nanoscale geometry. (phys.org)
- By employing this information, molecule libraries can be filtered for subsequent affinity assays and molecular structures can be refined with regard to affinity and selectivity. (uni-marburg.de)
- To overcome this problem we develop a method that combines a computational structural modeling (which delivers atomic-resolution structures) with experimental data (which provides information about the population of different states). (lu.se)
- Literature review: Based on this method of analysis, it is possible the verification of the stress distribution and deformation in structures with complex geometry as maxilla and mandible. (bvsalud.org)
- Based on this method of analysis, it is possible to measure the stress distribution and deformation in structures with complex geometry as maxilla and mandible. (bvsalud.org)
Applications5
- Visual computing is underpinning major industrial applications as attested recently by the emerging fields of computational photography, 3D cinematography and advanced biomedical imaging. (videolectures.net)
- Surveying, coordinate geometry, digital terrain modelling, and drafting applications for Intellicad and AutoCAD, as well as free autolisp routines. (geometry.net)
- The approach is now published in Nature Materials , detailing the realization of molecular materials with embedded biomolecular computational functions to operate at the level of the single-molecule with potential to engineer intelligent nanorobots for future applications in industry and medicine. (phys.org)
- Functions and their limits: formal definition of the limit, proofs and applications of their computational rules, indeterminate forms and asymptotes. (lu.se)
- Derivatives: definition, proofs and applications of computational rules, differentiation formulas for elementary functions, Rolle's lemma, the mean value theorem and L'Hopital's rule. (lu.se)
Fundamental1
- The art gallery problem is a fundamental problem in computational geometry. (springer.com)
Molecular2
- The field of intelligent nanorobotics is based on the great promise of molecular devices with information processing capabilities. (phys.org)
- The nuclear magnetic shielding tensor is a sensitive probe of the local electronic environment, providing information about molecular structure and intermolecular interactions. (lu.se)
19781
- The event started zijn life than the Annual Colloquium on Information Retrieval Research in 1978 and was held in the UK lycra year Until 1998-when it was hosted in Grenoble, France. (multi-mania.be)
Research5
- It covers research in all aspects of computational geometry. (wikipedia.org)
- The European Conference on Information Retrieval (ECIR) is the main European research conference for the presentation of new results in the field of information retrieval (IR). (multi-mania.be)
- In recent years, ECIR has continued to grow and has Become the major European forum for the discussion of research in the field of Information Retrieval. (multi-mania.be)
- If your article involves human participants, you must ensure you have considered whether or not you require ethical approval for your research, and include this information as part of your submission. (emeraldgrouppublishing.com)
- Vivek Kaushik, Aubrey Laskowski, Matthew Romney, Yukun Tan Based on an undergraduate research project at the Illinois Geometry Lab directed by A. J. Hildebrand. (wolfram.com)
Search1
Data6
- More information about the use of cookies is available here , and the regulations on processing personal data can be found here . (hse.ru)
- Second, I will introduce data-dependent kernel functions that can be evaluated given only ordinal distance information about a data set. (rutgers.edu)
- Includes an image gallery and technical data for tread geometry and treadwell dimensions. (geometry.net)
- ultrafine particles and in vivo and cast data for radon progeny were used to derive the following deposition: En = 1-exp(-0:355S^4.14 f D^0.5Q^-0.28), where Sf is the normalized surface area in the turbinate region of the nasal airway, and D is the diffusion coefficient. (cdc.gov)
- We show that a simple two-state model of water structure fails to give a consistent interpretation of the shielding data and we argue that a more detailed analysis is needed that quantitatively relates the shielding components to hydrogen bond geometry. (lu.se)
- However, the analysis of such data is complicated because scattering arises from a mixture of many components, the information content in each spectrum is limited and there is no framework for simultaneous analysis of data from different data sources. (lu.se)
Machine Learning1
- Ordinal embedding, up to now, is the standard approach to machine learning in a setting of ordinal distance information. (rutgers.edu)
Https1
- For more information, please refer to https://www.mdpi.com/openaccess . (mdpi.com)
Spatial2
- The conference is the premier annual event of the ACM Special Interest Group on Spatial Information (ACM SIGSPATIAL). (wikicfp.com)
- This is even more so when dealing with dynamic hypergraphs or hypergraphs that represent spatial information. (dagstuhl.de)
Academic1
- This course is structured around the following main activities: lectures by the instructor a well as by academic and industrial experts, selected readings, computational design workshops, weekly assignments, a midterm, and a final project. (umich.edu)
Molecule1
- In the present study by Chao et al, the same basic principle of the HCR reaction scheme was used in a different computational context to develop a single-molecule DNA-navigator system. (phys.org)