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2001
Lattices in constructions of dense sphere packings and certain cryptographic schemes
Published 2016“…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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Thesis -
2002
Design and optimization of wireless power transfer system
Published 2017“…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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Thesis -
2003
Highly accelerated free-breathing real-time myocardial tagging for exercise cardiovascular magnetic resonance
Published 2023-10-01“…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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Article -
2004
Eilenberg–Mac Lane Spaces for Topological Groups
Published 2019-07-01“…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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Article -
2005
Intrinsic Geometric Structure of Subcartesian Spaces
Published 2023-12-01“…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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Article -
2006
The Dynamic Self in Alfred North Whitehead’s Philosophy of Organism
Published 2023-06-01“…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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Article -
2007
The “virtual density” theory of neutronics
Published 2021“…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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Article -
2008
The “virtual density” theory of neutronics
Published 2022“…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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Article -
2009
3D whole-heart grey-blood late gadolinium enhancement cardiovascular magnetic resonance imaging
Published 2021-05-01“…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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Article -
2010
HORIZONTAL PERMEABILITY DETERMINATION FROM THE ELLIPTICAL FLOW REGIME OF HORIZONTAL WELLS
Published 2004-01-01“…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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Article -
2011
Gabriel Marcel’s Existential Phenomenological Method as basis for Ecumenical Dialogue
Published 2023-03-01“…Husserl, Edmund, and Dorion Cairns. Cartesian Meditations: An Introduction to Phenomenology. …”
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Article -
2012
From Permutation Patterns to the Periodic Table
Published 2023-05-01“…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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Article -
2013
Some problems of algebraic topology
Published 1961“…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<sup>Y</sup>→C(Y)<u>⋔</u>A which preserves the exponential law, and by which these complexes may be identified. …”
Thesis -
2014
Natural Philosophy and Natural Logic
Published 2018-09-01“…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’s from the field. …”
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Article -
2015
Revision of Pseudo-Ultrametric Spaces Based on m-Polar T-Equivalences and Its Application in Decision Making
Published 2021-05-01“…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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Article -
2016
Cable-driven underactuated wearable robotic devices for hand assistance
Published 2023“…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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Thesis-Doctor of Philosophy -
2017
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
Published 2023-08-01“…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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Article -
2018
The Hegemon’s Perspective, Part I. On the inner source and morphology of world power and hegemony
Published 2021-02-01“…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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Article -
2019
Aquinas in the Conceptual Border
Published 2018-03-01“…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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Article -
2020
Ethics, Indigenous Ethics, and the Contemporary Challenge: Attempt at a Report on Ethics for the Filipino Today
Published 2019-03-01“…London: Penguin Books, 1980. Husserl, Edmund. Cartesian Meditation: An Introduction to Phenomenology. …”
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