Lattices in constructions of dense sphere packings and certain cryptographic schemes by Cheng, Shantian

“…Thus we can concatenate the embedding image of the Cartesian product of n copies of p together with the image of a length n code over κ. …”
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Design and optimization of wireless power transfer system by Jayathurathnage Prasad Kumara Sampath

“…A current modulation scheme is explored with the use of an analogy of N-dimensional Cartesian coordinate equivalent of spherical coordinates. …”
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Highly accelerated free-breathing real-time myocardial tagging for exercise cardiovascular magnetic resonance by Manuel A. Morales, Siyeop Yoon, Ahmed Fahmy, Fahime Ghanbari, Shiro Nakamori, Jennifer Rodriguez, Jennifer Yue, Jordan A. Street, Daniel A. Herzka, Warren J. Manning, Reza Nezafat

“…A 12-fold acceleration was achieved using incoherent sixfold random Cartesian sampling, twofold truncated outer phase encoding, and a deep learning resolution enhancement model. …”
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Eilenberg–Mac Lane Spaces for Topological Groups by Ged Corob Cook

“…The theory requires a careful analysis using model structures and other homotopical structures on cartesian closed categories as we shall see that no theory can be comfortably developed in the classical world.…”
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Intrinsic Geometric Structure of Subcartesian Spaces by Richard Cushman, Jędrzej Śniatycki

“…Every subset <i>S</i> of a Cartesian space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>d</mi></msup></semantics></math></inline-formula>, endowed with differential structure <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>C</mi><mo>∞</mo></msup><mrow><mo>(</mo><mi>S</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> generated by restrictions to <i>S</i> of functions in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>C</mi><mo>∞</mo></msup><mrow><mo>(</mo><msup><mi mathvariant="double-struck">R</mi><mi>d</mi></msup><mo>)</mo></mrow><mo>,</mo></mrow></semantics></math></inline-formula> has a canonical partition <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="fraktur">M</mi><mo>(</mo><mi>S</mi><mo>)</mo></mrow></semantics></math></inline-formula> by manifolds, which are orbits of the family <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="fraktur">X</mi><mo>(</mo><mi>S</mi><mo>)</mo></mrow></semantics></math></inline-formula> of all derivations of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>C</mi><mo>∞</mo></msup><mrow><mo>(</mo><mi>S</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> that generate local one-parameter groups of local diffeomorphisms of <i>S</i>. …”
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The Dynamic Self in Alfred North Whitehead’s Philosophy of Organism by Mustafa Kınağ

“…The process attitude that Whitehead puts forward while defining human nature criticizes the Cartesian philosophy that ontologically fragments human nature with the soul-body distinction. …”
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The “virtual density” theory of neutronics by Reed, Mark, Smith, Kord, Forget, Benoit

“…We model a panoply of non-uniform anisotropic swelling scenarios, including axial swelling of individual assemblies, axial swelling of each mesh cell in proportion to its fission power, and radial core flowering with arbitrary axial dependence. In 3-D coarse mesh Cartesian cores with explicit coolant gaps, we model individual assembly motion, assembly row motion with arbitrary axial dependence, and assembly row “s-shape” bowing. …”
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The “virtual density” theory of neutronics by Reed, Mark, Smith, Kord S., Forget, Benoit Robert Yves

“…We model a panoply of non-uniform anisotropic swelling scenarios, including axial swelling of individual assemblies, axial swelling of each mesh cell in proportion to its fission power, and radial core flowering with arbitrary axial dependence. In 3-D coarse mesh Cartesian cores with explicit coolant gaps, we model individual assembly motion, assembly row motion with arbitrary axial dependence, and assembly row “s-shape” bowing. …”
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3D whole-heart grey-blood late gadolinium enhancement cardiovascular magnetic resonance imaging by Giorgia Milotta, Camila Munoz, Karl P. Kunze, Radhouene Neji, Stefano Figliozzi, Amedeo Chiribiri, Reza Hajhosseiny, Pier Giorgio Masci, Claudia Prieto, René M. Botnar

“…Methods A free-breathing 3D PSIR LGE sequence with dual-echo Dixon readout with a variable density Cartesian trajectory with acceleration factor of 3 is proposed. …”
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HORIZONTAL PERMEABILITY DETERMINATION FROM THE ELLIPTICAL FLOW REGIME OF HORIZONTAL WELLS by Freddy-Humberto Escobar, Oscar-Fernando Muñoz, Jairo-Antonio Sepúlveda

“…The current techniques for interpretation of pressure transient tests in horizontal wells include conventional methods (semilog analysis and Cartesian plot of pressure vs. the square root of time) and semilog and log-log type-curve matching analysis. …”
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Gabriel Marcel’s Existential Phenomenological Method as basis for Ecumenical Dialogue by Louie Jed Tayko

“…Husserl, Edmund, and Dorion Cairns. Cartesian Meditations: An Introduction to Phenomenology. …”
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From Permutation Patterns to the Periodic Table by Saeid Alikhani, Maryam Safazadeh

“…In particular, for $\pi=\pi_1\pi_2\cdots \pi_k\in S_k$, the plot of $\pi$ is the graph of the points $(i‎,‎\pi_i)$ in the Cartesian plane. Of particular interest are the sets $S_k(\rho)=\{ \pi \in S_k \vert \pi ~ avoids~ \rho\}$. …”
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Some problems of algebraic topology by Brown, R, Brown, Ronald

“…The exponential map here is an isomorphism (A<u>×</u>B)<u>⋔</u>C→A<u>⋔</u>(B<u>⋔</u>C), where A<u>×</u>B is the cartesian product of A and B. If Y is a css-complex, and C(Y) is essentially the free FD-complex generated by Y, it is shown that there is an isomorphism D : A^Y→C(Y)<u>⋔</u>A which preserves the exponential law, and by which these complexes may be identified. …”

Natural Philosophy and Natural Logic by Kun Wu, Zhensong Wang

“…It is this theory that has made up for the vacancy existing between matter and mind, which apparently exists in Cartesian dualism, after the withdrawal of the God&rsquo;s from the field. …”
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Revision of Pseudo-Ultrametric Spaces Based on m-Polar T-Equivalences and Its Application in Decision Making by Azadeh Zahedi Khameneh, Adem Kilicman, Fadzilah Md Ali

“…First, we study the new operators including the <i>m</i>-polar triangular norm <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">T</mi></semantics></math></inline-formula> and conorm <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">S</mi></semantics></math></inline-formula> as well as <i>m</i>-polar implication <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">I</mi></semantics></math></inline-formula> and <i>m</i>-polar negation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">N</mi></semantics></math></inline-formula>, acting on the Cartesian product of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow></semantics></math></inline-formula><i>m</i>-times.Then, using the <i>m</i>-polar negations <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">N</mi></semantics></math></inline-formula>, we provide a method to construct a new type of metric spaces, called <i>m</i>-polar <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">S</mi></semantics></math></inline-formula>-pseudo-ultrametric, from the <i>m</i>-polar <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">T</mi></semantics></math></inline-formula>-equivalences, and reciprocally for constructing <i>m</i>-polar <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">T</mi></semantics></math></inline-formula>-equivalences based on the <i>m</i>-polar <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">S</mi></semantics></math></inline-formula>-pseudo-ultrametrics. …”
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Cable-driven underactuated wearable robotic devices for hand assistance by Bernardo, Alexandre Pinto Sales de Noronha

“…We experimentally verified the created model, and obtained low error of the angular trajectory of the structure's joints, also observing low Cartesian position error of the elements. Then, a 3D-printed index finger (dimensioned following the average male user) was actuated by a structure, and the finger's angular trajectories were compared to the simulated ones. …”
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Reproducibility of 3D MRSI for imaging human brain glucose metabolism using direct (2H) and indirect (1H) detection of deuterium labeled compounds at 7T and clinical 3T by Fabian Niess, Bernhard Strasser, Lukas Hingerl, Eva Niess, Stanislav Motyka, Gilbert Hangel, Martin Krššák, Stephan Gruber, Benjamin Spurny-Dworak, Siegfried Trattnig, Thomas Scherer, Rupert Lanzenberger, Wolfgang Bogner

“…Methods: Five volunteers (4 m/1f) were scanned in repeated sessions for 60 min after overnight fasting and 0.8 g/kg oral [6,6′-2H2]-glucose administration using time-resolved 3D 2H FID-MRSI with elliptical phase encoding at 7T and 3D 1H FID-MRSI with a non-Cartesian concentric ring trajectory readout at clinical 3T. …”
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The Hegemon’s Perspective, Part I. On the inner source and morphology of world power and hegemony by Andrea Lo Bianco, Natalia Valdés del Toro

“…On the present groundwork indeed, an understanding of the hegemonic power through post-Cartesian, that is, a world-ecological lens, could be unfolded to the fullest, both methodologically and historically. …”
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Aquinas in the Conceptual Border by Earl Allyson Valdez

“…On Descartes’ Metaphysical Prism : The Constitution and the Limits of Onto-Theo-Logy in Cartesian Thought. Translated by Jeffrey L. Kosky. …”
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Ethics, Indigenous Ethics, and the Contemporary Challenge: Attempt at a Report on Ethics for the Filipino Today by Romualdo Abulad

“…London: Penguin Books, 1980. Husserl, Edmund. Cartesian Meditation: An Introduction to Phenomenology. …”
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