Academic literature on the topic 'S-metric spaces'

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Journal articles on the topic "S-metric spaces"

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Beg, I., K. Roy, and M. Saha. "S J S -metric spaces: a survey." Journal of Nonlinear Sciences and Applications 17, no. 01 (2024): 30–69. http://dx.doi.org/10.22436/jnsa.017.01.03.

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G.S.Sao, S.N.Gupta, and G.P.Banaj. "CONVERGENCE OF S-METRIC SPACE." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES 4, no. 9 (2017): 11–13. https://doi.org/10.5281/zenodo.886079.

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Asmita, Yadav, and S. Saluja A. "A Result on Fixed Points in Rectangular S-Metric Spaces." International Journal of Mathematics and Computer Research 13, no. 05 (2025): 5190–92. https://doi.org/10.5281/zenodo.15432783.

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In this paper, the notion of rectangular S-metric which extends rectangular metric spaces introduced by Branciari. The results obtained expand and generalize several well-established findings in the existing literature. <strong>MATHEMATICS SUBJECT CLASSIFICATION (2020) :</strong>&nbsp;Primary: 54H25; Secondary:54E50, 47H10.
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Nădăban, Sorin. "Fuzzy b-Metric Spaces." International Journal of Computers Communications & Control 11, no. 2 (2016): 273. http://dx.doi.org/10.15837/ijccc.2016.2.2443.

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Metric spaces and their various generalizations occur frequently in computer science applications. This is the reason why, in this paper, we introduced and studied the concept of fuzzy b-metric space, generalizing, in this way, both the notion of fuzzy metric space introduced by I. Kramosil and J. Michálek and the concept of b-metric space. On the other hand, we introduced the concept of fuzzy quasi-bmetric space, extending the notion of fuzzy quasi metric space recently introduced by V. Gregori and S. Romaguera. Finally, a decomposition theorem for a fuzzy quasipseudo- b-metric into an ascend
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Meltem Erden; ALACA, EGE. "C*-algebra-valued s-metric spaces." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 67, no. 2 (2018): 165–77. http://dx.doi.org/10.1501/commua1_0000000871.

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Afra, J. Mojaradi. "Double contraction in S-metric spaces." International Journal of Mathematical Analysis 9 (2015): 117–25. http://dx.doi.org/10.12988/ijma.2015.411345.

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Li, Zhaowen. "Onπ-s-images of metric spaces". International Journal of Mathematics and Mathematical Sciences 2005, № 7 (2005): 1101–7. http://dx.doi.org/10.1155/ijmms.2005.1101.

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We establish the characterizations of metric spaces under compact-covering (resp., pseudo-sequence-covering, sequence-covering)π-s-maps by means ofcfp-covers (resp.,sfp-covers,cs-covers) andσ-strong networks.
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Karami, Abdollah, Shaban Sedghi, and Vahid Parvaneh. "Sequential Extended S -Metric Spaces and Relevant Fixed Point Results with Application to Nonlinear Integral Equations." Advances in Mathematical Physics 2021 (June 20, 2021): 1–11. http://dx.doi.org/10.1155/2021/9910861.

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In this paper, the notion of sequential ς p -metric spaces has been introduced as a generalization of usual S -metric spaces, S b -metric spaces, S J S metric spaces, and specially of S p -metric spaces. In view of this notion, we prove some fixed point theorems for some classes of ς p -rational Geraghty JS-contractions over such spaces. A supporting example and an application have been given in order to examine the validity of the obtained results.
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Al Rwaily, Asma, and A. M. Zidan. "New Contributions in Generalization S -Metric Spaces to S ∗ p -Partial Metric Spaces with Some Results in Common Fixed Point Theorems." Complexity 2021 (May 19, 2021): 1–8. http://dx.doi.org/10.1155/2021/5584685.

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In this paper, we introduce the notion of S ∗ p -partial metric spaces which is a generalization of S-metric spaces and partial-metric spaces. Also, we give some of the topological properties that are important in knowing the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed point theorems in this spaces.
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Haque, Salma, Fatima Azmi, and Nabil Mlaiki. "Fredholm Type Integral Equation in Controlled Rectangular Metric-like Spaces." Symmetry 14, no. 5 (2022): 991. http://dx.doi.org/10.3390/sym14050991.

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In this article, we present an extension of the controlled rectangular b-metric spaces, so-called controlled rectangular metric-like spaces, where we keep the symmetry condition and we only change the condition [D(s,r)=0⇔s=r]to[D(s,r)=0⇒s=r], which means we may have a non-zero self distance; also, D(s,s) is not necessarily less than D(s,r). This new type of metric space is a generalization of controlled rectangular b-metric spaces and partial rectangular metric spaces.
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Dissertations / Theses on the topic "S-metric spaces"

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Ferreira, Mônica Ribeiro Porto. "Optimizing similarity queries in metric spaces meeting user\'s expectation." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-24012013-091242/.

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The complexity of data stored in large databases has increased at very fast paces. Hence, operations more elaborated than traditional queries are essential in order to extract all required information from the database. Therefore, the interest of the database community in similarity search has increased significantly. Two of the well-known types of similarity search are the Range (\'R IND. q\') and the k-Nearest Neighbor (\'kNN IND. q\') queries, which, as any of the traditional ones, can be sped up by indexing structures of the Database Management System (DBMS). Another way of speeding up que
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"On completeness of partial metric spaces, symmetric spaces and some fixed point results." Thesis, 2016. http://hdl.handle.net/10500/23206.

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The purpose of the thesis is to study completeness of abstract spaces. In particular, we study completeness in partial metric spaces, partial metric type spaces, dislocated metric spaces, dislocated metric type spaces and symmetric spaces that are generalizations of metric spaces. It is well known that complete metric spaces have a wide range of applications. For instance, the classical Banach contraction principle is phrased in the context of complete metric spaces. Analogously, the Banach's xed point theorem and xed point results for Lipschitzian maps are discussed in this context,
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Aphane, Maggie. "On completeness of partial metric spaces, symmetric spaces and some fixed point results." Thesis, 2016. http://hdl.handle.net/10500/23223.

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The purpose of the thesis is to study completeness of abstract spaces. In particular, we study completeness in partial metric spaces, partial metric type spaces, dislocated metric spaces, dislocated metric type spaces and symmetric spaces that are generalizations of metric spaces. It is well known that complete metric spaces have a wide range of applications. For instance, the classical Banach contraction principle is phrased in the context of complete metric spaces. Analogously, the Banach's xed point theorem and xed point results for Lipschitzian maps are discussed in this context,
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Malý, Lukáš. "Prostory Sobolevova typu na metrických prostorech s mírou." Doctoral thesis, 2014. http://www.nusl.cz/ntk/nusl-342330.

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Title: Sobolev-Type Spaces on Metric Measure Spaces Author: RNDr. Lukáš Malý Department: Department of Mathematical Analysis Supervisor: Prof. RNDr. Luboš Pick, CSc., DSc., Department of Mathematical Analysis Abstract: is thesis focuses on function spaces related to rst-order analysis in abstract metric measure spaces. In metric spaces, we can replace distributional gra- dients, whose de nition depends on the linear structure of Rn , by upper gradients that control the functions' behavior along all recti able curves. is gives rise to the so-called Newtonian spaces. e summability condition, con
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Kuncová, Kristýna. "Neabsolutně konvergentní integrály." Doctoral thesis, 2019. http://www.nusl.cz/ntk/nusl-408083.

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Title: Nonabsolutely convergent integrals Author: Krist'yna Kuncov'a Department: Department of Mathematical Analysis Supervisor: prof. RNDr. Jan Mal'y, DrSc., Department of Mathematical Analysis Abstract: In this thesis we develop the theory of nonabsolutely convergent Hen- stock-Kurzweil type packing integrals in different spaces. In the framework of metric spaces we define the packing integral and the uniformly controlled inte- gral of a function with respect to metric distributions. Applying the theory to the notion of currents we then prove a generalization of the Stokes theorem. In Rn we
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Chang, Stanley S. "Coarse obstructions to positive scalar curvature metrics in noncompact quotients of symmetric spaces /by Stanley S. Chang." 1999. http://wwwlib.umi.com/dissertations/fullcit/9934030.

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Books on the topic "S-metric spaces"

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author, Tian Gang 1958, ed. The geometrization conjecture. American Mathematical Society, 2014.

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Farb, Benson, and Dan Margalit. Moduli Space. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0013.

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This chapter focuses on the moduli space of Riemann surfaces. The moduli space parameterizes many different kinds of structures on Sɡ, such as isometry classes of hyperbolic structures on S, conformal classes of Riemannian metrics on S, biholomorphism classes of complex structures on S, and isomorphism classes of smooth algebraic curves homeomorphic to S. The chapter first considers the moduli space as the quotient of Teichmüller space before discussing the moduli space of the torus. It then examines the theorem (due to Fricke) that Mod(S) acts properly discontinuously on Teich(S), with a fini
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Farb, Beₙsoₙ, and Dan Margalit. Overview. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0001.

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This book deals with two fundamental objects attached to a surface S and how they relate to each other: a group and a space. The group is the mapping class group of S, denoted by Mod(S). It is defined as the group of isotopy classes of orientation-preserving diffeomorphisms of S. The space is the Teichmüller space of S, a metric space homeomorphic to an open ball. The book considers the relations between the algebraic structure of Mod(S), the geometry of Teich(S), and the topology of M(S). Underlying these connections is the combinatorial topology of the surface S. The Nielsen–Thurston classif
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Book chapters on the topic "S-metric spaces"

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Özgür, Nihal Yılmaz, and Nihal Taş. "Some Generalizations of Fixed-Point Theorems on S-Metric Spaces." In Essays in Mathematics and its Applications. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31338-2_11.

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Taş, Nihal. "Proinov E S -Contraction Type Unique and Non-Unique Fixed-Point Results on S-Metric Spaces." In Advanced Mathematical Analysis and its Applications. Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781003388678-6.

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Tahiri, Nadia, and Aleksandr Koshkarov. "New Metrics for Classifying Phylogenetic Trees Using K-means and the Symmetric Difference Metric." In Studies in Classification, Data Analysis, and Knowledge Organization. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-09034-9_41.

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AbstractThe k-means method can be adapted to any type of metric space and is sometimes linked to the median procedures. This is the case for symmetric difference metric (or Robinson and Foulds) distance in phylogeny, where it can lead to median trees as well as to Euclidean Embedding. We show how a specific version of the popular k-means clustering algorithm, based on interesting properties of the Robinson and Foulds topological distance, can be used to partition a given set of trees into one (when the data is homogeneous) or several (when the data is heterogeneous) cluster(s) of trees. We hav
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Kumar, Manoj, and Pankaj Kumar. "Suzuki-Edelstein Type Contractions in S-metric Spaces." In Metrical Fixed Point Theory and Applications. RGN Publications, 2024. http://dx.doi.org/10.26713/mfpta.01.

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Yadav, Pooja, and Mamta Kamra. "BANACH FIXED CONTRACTION MAPPING THEOREM IN VECTOR S-METRIC SPACES." In Futuristic Trends in Contemporary Mathematics & Applications Volume 3 Book 2. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/v3bkcm2p5ch3.

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Earl, Richard. "4. The plane and other spaces." In Topology: A Very Short Introduction. Oxford University Press, 2019. http://dx.doi.org/10.1093/actrade/9780198832683.003.0004.

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Most functions have several numerical inputs and produce more than one numerical output. But even generally continuity requires that we can constrain the difference in outputs by suitably constraining the difference in inputs. ‘The plane and other spaces’ asks more general questions such as ‘is the distance a car has travelled a continuous function of its speed?’ This is a subtle question as neither the input nor output are numbers, but rather functions of time, with input the speed function s(t) and output the distance function d(t). In answering the question, it considers continuity between
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Joyce, Dominic D. "Riemannian Holonomy Groups." In Riemannian Holonomy Groups and Calibrated Geometry. Oxford University PressOxford, 2007. http://dx.doi.org/10.1093/oso/9780199215607.003.0003.

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Abstract Let M be a manifold, and g a Riemannian metric on M . Then there is a unique, preferred connection on TM called the Levi-Civita connection, which is torsion-free and satisfies g = 0. The curvature R( ) of the Levi-Civita connection is called the Riemann curvature, and its holonomy group Hol( ) the Riemannian holonomy group Hol( g) of g. In 1955, Marcel Berger proved that if ( M, g) is a Riemannian manifold with M simply-connected and g irreducible and nonsymmetric, then Hol( g) must be one of SO( n), U( m), SU( m), Sp( m), Sp( m) Sp(1), G 2 or Spin(7). The goal of 3.1– 3.4 is to expla
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Taş, Nihal, and Ozgur Ege. "Caristi-Type Nonunique Fixed-Point Results and Fixed-Circle Problem on bv(s)-Metric Spaces." In Advances in Number Theory and Applied Analysis. WORLD SCIENTIFIC, 2023. http://dx.doi.org/10.1142/9789811272608_0010.

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Kumar, Manoj. "Fixed Point Theorems for Generalized (ψ-ϕ)-Weak Contractions in S-Metric Space." In Metrical Fixed Point Theory and Applications. RGN Publications, 2024. http://dx.doi.org/10.26713/mfpta.12.

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Joyce, Dominic D. "The Exceptional Holonomy Groups." In Riemannian Holonomy Groups and Calibrated Geometry. Oxford University PressOxford, 2007. http://dx.doi.org/10.1093/oso/9780199215607.003.0011.

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Abstract We now discuss the exceptional holonomy groups G 2 in 7 dimensions, and Spin(7) in 8 dimensions. Metrics with these holonomy groups are Ricci-flat, and on compact manifolds come in smooth moduli spaces of known dimension. Sections 11.1–11.3 define G 2, study the topology of compact Riemannian 7-manifolds ( M, g) with holonomy G 2, and describe constructions of such manifolds. Sections 11.4–11.6 give a similar treatment of Spin(7). Section 11.7 gives a reading list on exceptional holonomy. For much more detail on compact manifolds with exceptional holonomy and many examples, see the au
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Conference papers on the topic "S-metric spaces"

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Katebah, Mary A., Ma�moun Al-Rawashdeh, and Patrick Linke. "Beyond Yield: Assessing Reaction System Performance using Economics." In Foundations of Computer-Aided Process Design. PSE Press, 2024. http://dx.doi.org/10.69997/sct.167342.

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Early stage exploration of reaction systems, including catalyst selection, operating conditions� specifications, reactor design, and optimization, is critical in the engineering field. It is general practice in the reaction engineering field to explore systems against certain performance metrics, of which yield is one of the most commonly utilized objectives. While the yield provides a quantitative measure of how efficiently reactants are converted into target product(s), its definition is ambiguous, particularly in the presence of side/ incomplete reactions, and multiple products. Most of the
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Medina, Edgar Ivan Sanchez, Ann-Joelle Minor, and Kai Sundmacher. "Systematic comparison between Graph Neural Networks and UNIFAC-IL for solvent pre-selection in liquid-liquid extraction." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.132577.

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Solvent selection is a critical decision-making process that balances economic, environmental, and societal factors. The vast chemical space makes evaluating all potential solvents impractical, necessitating pre-selection strategies to identify promising candidates. Predictive thermodynamic models, such as the UNIFAC model, are commonly used for this purpose. Recent advancements in deep learning have led to models like the Gibbs-Helmholtz Graph Neural Network (GH-GNN), which overall offers higher accuracy in predicting infinite dilution activity coefficients over a broader chemical space than
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Narciso, Diogo A. C., Steven Sachio, and Maria M. Papathanasiou. "Flexibility Assessment via Affine Bounds Evaluation." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.121782.

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Process design deals with the problem of finding the best process set-up, subject to a set of constraints defining the design space (DSp). This selection is guided primarily by economic considerations. Flexibility may also play an important factor in process design, since it embodies �how far� from the design space�s bounds are the candidate optimal designs, which in some cases may lead to off-spec products. This work proposes a novel approach for flexibility assessment. In design problems where the design space is constrained by a set of affine bounds, flexibility may be expressed either as t
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Kumar, Anil. "Banach Fixed Point Theorem in Extended bv(s)-Metric Spaces." In International Online Conference on Mathematics and Applications. MDPI, 2023. http://dx.doi.org/10.3390/iocma2023-14736.

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Abdulameer KADHIM, Dhuha, Zainab Hasan ABOOD, and Mushtaq K. ABD AL-RAHEM. "ON THE ROUGH CONVERGENCE OF DOUBLE SEQUENCE IN CONE S-METRIC SPACES." In VI.International Scientific Congress of Pure,Applied and Technological Sciences. Rimar Academy, 2022. http://dx.doi.org/10.47832/minarcongress6-10.

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Yadav, Pooja, and Mamta Kamra. "Common fixed point theorems for four transformations in vector S-metric spaces." In FRONTIERS IN INDUSTRIAL AND APPLIED MATHEMATICS: FIAM2022. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0196129.

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Dine, Jani, та Kastriot Zoto. "Fixed point theorems for (s, p) - ɸ contractive mappings in complete dislocated and b-dislocated metric spaces". У The 5th International Virtual Conference on Advanced Scientific Results. Publishing Society, 2017. http://dx.doi.org/10.18638/scieconf.2017.5.1.398.

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Maheswari, J. Uma, M. Ravichandran та A. Anbarasan. "Fixed point theorems of generalized (κ, μ)s− rational contractive mappings in ordered complex valued quasi b− metric spaces with application". У INTERNATIONAL CONFERENCE ON RECENT TRENDS IN APPLIED MATHEMATICAL SCIENCES (ICRTAMS-2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0064248.

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Eckstein, Eugene C., Vinay Bhal, JoDe M. Lavine, Baoshun Ma, Mark Leggas, and Jerome A. Goldstein. "Nested First-Passages of Tracer Particles in Flows of Blood and Control Suspensions: Symmetry and Lorentzian Transformations." In ASME 2017 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/fedsm2017-69549.

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Theory of molecular Taylor-Aris dispersion (TAD) is an accepted framework describing tracer dispersion in suspension flows and determining effective diffusion coefficients. Our group reported a pseudo-Lagrangian method to study dispersion in suspension flows at FEDSM-2000. Tracer motions were studied in a steadily moving inertial reference frame (SMIRF) aligned with the flow direction; increments of change of axial position of individual tracers were collected to demonstrate how the tracer moved as they, individually, interacted with similar collections of other bodies brought to and from the
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Säfvenberg, Rasmus, Niklas Carlsson, and Patrick Lambrix. "Simple and Practical Goal Importance Metrics for Ice Hockey." In Linköping Hockey Analytics Conference 2023. Linköping University Electronic Press, 2023. http://dx.doi.org/10.3384/ecp201.4.

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To capture that not all goals are of the same importance, a new performance metric called the Game Points Importance Value (GPIV) was recently proposed. While this metric takes into account the expected impact that a goal has on the outcome of a game based on the context when the goal was scored, it relies on a relatively fine-grained state space. To address this problem, this paper presents simplified and more practical variations of the GPIV metric. Motivated by our analysis of the relative importance of different dimensions of the state space, we present two metrics that capture the most im
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