Analytical Investigation of the Properties of Transients in Unbalanced Three-Phase Four-Wire Networks by Diego Bellan

“…In this paper, the theoretical properties of transients in three-phase networks, including the fourth wire and unbalanced source, are systematically investigated by resorting to several analytical tools. First, a Cartesian space vector is introduced to provide the geometrical three-dimensional representation of a three-phase voltage/current transient. …”
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Dark Margins: Invisibility and Obscenity in Thomas Pynchon’s V., The Crying of Lot 49, and Gravity’s Rainbow by Paul Jahshan

“…The margins between the two is a space of slippage and also, paradoxically, the locus of a discourse of technological power for both “Preterite” and “Elect,” and Pynchon’s treatment of these issues in the 1960s and 1970s is relevant at the beginning of the twenty-first century when the Cartesian model is complicated by a digital culture poised to replace reality with the simulacra of cyberspace; this prospect is initially met by a resistance of invisibility inhabiting the dark margins, not only of textual discourse, but also of society as it takes shape in the practices of everyday life. …”
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Total Domination in Generalized Prisms and a New Domination Invariant by Tepeh Aleksandra

“…In this paper we complement recent studies on the total domination of prisms by considering generalized prisms, i.e., Cartesian products of an arbitrary graph and a complete graph. …”
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Node Generation for RBF-FD Methods by QR Factorization by Tony Liu, Rodrigo B. Platte

“…In 2D, these methods are usually implemented with Cartesian nodes, hexagonal nodes, or most commonly, quasi-uniformly distributed nodes generated through fast algorithms. …”
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Decay of Swirling Turbulent Flow in Rod-bundle by Tsutomu IKENO, Takeo KAJISHIMA

“…In our LES, an immersed boundary method was used to treat this complex wall boundary in the Cartesian grid system. A consistent immersed boundary method and a one-equation dynamic SGS model were introduced for an accurate simulation of no-slip wall condition. …”
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Research on Extended Target-Tracking Algorithms of Sea Surface Navigation Radar by Feng Tian, Haoyu Zhang, Weibo Fu

“…The converted measurement Kalman filter (CMKF) transforms the polar coordinate data of the target at the current time into Cartesian coordinates without bias. Based on linear measurements and states, the position of the extended target and the group target was predicted and updated by using a random matrix, and its track was drawn by combining the nearest neighbors to realize the tracking of the size, shape and azimuth of the extended target. …”
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Il tempo e lo spazio in <i>Chronopolis</i> di J. G. Ballard by Ignazio Sanna

“…Since these notions are represented by the terms, respectively, utopia and uchronia, ultimately this means a disappearing of Chronopolis on an imaginary Cartesian graph displaying it.…”
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Graph factorization and pseudofactorization with applications to hypercube embeddings by Sheridan, Kristin

“…In this paper, we examine the concepts of graph factorization and pseudofactorization, in which a graph is broken up into smaller graphs whose Cartesian product it is isomorphic to or is an isometric subgraph of, respectively. …”
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Generating Compliant Motion of Objects with an Articulated Hand by Chiu, Stephen L.

“…N particular, it addresses the issues in effecting compliant motions of objects in Cartesian space. The Stanford/JPL hand is used as an example to illustrate a number of concepts. …”
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Study of bearing-only measurement for tracking by Liu, Jian.

“…Firstly the performances of modified polar extended Kalman filter (MP-EKF) and Cartesian extended Kalman filter are acceptably good. …”
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Relational algebra by way of adjunctions by Gibbons, J, Henglein, F, Hinze, R, Wu, N

“…The best they can offer is cartesian product followed by selection. Adjunctions come to the rescue: like any monad, bulk types also arise from certain adjunctions; we show that by paying due attention to other important adjunctions, we can elegantly explain the rest of standard relational algebra. …”

Analysis of linear difference schemes in the sparse grid combination technique by Reisinger, C

“…The so-called combination technique, based on hierarchical decomposition and extrapolation, requires specific multivariate error expansions of the discretization error on Cartesian grids to hold. We derive such error expansions for linear difference schemes through an error correction technique of semi-discretizations. …”

Analytical solution of flows in porous media for transpiration cooling applications by Hermann, T, McGilvray, M

“…General solutions in Cartesian coordinates and cylindrical coordinates are provided describing the entire porous domain of a flat plate or curved geometry, respectively. …”

Shallow flow simulation on dynamically adaptive cut cell quadtree grids by Liang, Q, Zang, J, Borthwick, A, Taylor, P

“…Interface fluxes are evaluated using an HLLC approximate Riemann solver. Cartesian cut cells are used to improve the fit to curved boundaries. …”

Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation by Charalampidis, EG, Boullé, N, Farrell, P, Kevrekidis, PG

“…The method reveals a remarkable wealth of solutions: these do not only include some of the well-known ones including, e.g., from the Cartesian or polar small amplitude limits of the underlying linear problem but also a significant number of branches that arise through (typically pitchfork) bifurcations. …”

Universal quantum control of an atomic spin qubit on a surface by Wang, Y, Haze, M, Bui, HT, Soe, W-H, Aubin, H, Ardavan, A, Heinrich, AJ, Phark, S-H

“…We first show transformations of each Cartesian component of a Bloch vector on the quantization axis, followed by ESR-STM detection. …”

Radiation impedance matrices for rectangular interfaces within rigid baffles: Calculation methodology and applications by Pierce, A, Cleveland, R, Zampolli, M

“…A substantial analytical reduction to sums of single nonsingular integrals is derived for the elements of this radiation impedance matrix when the aperture is rectangular and the basis functions are expressible as a sum of products of exponential functions of the Cartesian coordinates of the aperture plane, with the exponential coefficients being arbitrary complex numbers. …”

Plenitude of mathematics in architecture and its infinite possibilities: a review of parametric design by Nur Amalina Hanapi, Jakathisvaran, Syafa Sakinah Mustaffa, Hanna, Raid

“…During the earlier stage of architectural education, we are exposed to the concept of mathematics in architecture such as the Vitruvian man, the golden ratio, the Cartesian, Euclidean and Pythagoras Theorem. After a while this so-called basic architectural knowledge is no longer that matter that we are much consumed by the freedom of art and aesthetic that drove us to oversight that science and technology are also important parts of architecture that we should never overlook. …”
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A fuzzy majority-based construction method for composed aggregation functions by using combination operator by Kilicman, Adem, Khameneh, Azadeh Zahedi

“…As an application, the combination operator-based aggregation function is generalized over the Cartesian product of unit intervals [0,1] to deal with multi-polar information. …”
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Diffusion coefficient to mobility ratio in low-dimensional nanostructures by Johari, Zaharah

“…New improvement in semiconductors technology have brought to the shrinking of device dimensions from bulk (3-D) to 2-D nanostructures and further reduction of one or more Cartesian direction to nanoscale results in 1-D nanowire. …”
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