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1801
Effect of the Presence of Semi-circular Cylinders on Heat Transfer From Heat Sources Placed in Two Dimensional Channel
Published 2012-12-01“…The laminar flow field is analyzed numerically by solving the steady forms of the two-dimensional incompressible Navier- Stokes and energy equations. The Cartesian velocity components and pressure on a collocated (non-staggered) grid are used as dependent variables in the momentum equations, which discretized by finite volume method, body fitted coordinates are used to represent the complex channel geometry accurately, and grid generation technique based on elliptic partial differential equations is employed. …”
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1802
Natural Convection from Discrete Heat Sources Placed in Wavy Enclosure
Published 2016-12-01“…The two heat sources constant and high temperature, length of each heat source (10%) from the total length of bottom surface, the distances that do not contain heat source on the bottom surface thermally insulated, temperature of verticals walls and upper surface low and constant. corrugating upper surface was change the dimensional corrugation amplitude between (0.1-0.3), for number of corrugations (3), the dimensional distances between the two heat sources were change between (0.2-0.8), the Rayleigh numbers ranged between (103 ≤ Ra ≤ 105), the fluid inside the enclosure was air Prandtl number for it (0.7). were analyzed flow and temperature fields inside the enclosure numerically by solving Navier Stokes and Energy Equations, have been used Cartesian velocity components and pressure on a collocated grid are used as dependent variables in the momentum equations which discretized by finite volume method, body fitted coordinates are used to represent the geometry shape of the problem accurately, were grid generated technique based on elliptic partial differential equations, SIMPLE algorithm is used to adjust the velocity field to satisfy the conservation of mass. …”
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1803
Recent studies on the super edge-magic deficiency of graphs
Published 2024-01-01“…Imran, Baig, and Fe\u{n}ov\u{c}\'{i}kov\'{a} established that for integers $n$ with $n\equiv 0\pmod{4}$, $ \mu_{s}\left(D_{n}\right) \leq 3n/2-1$, where $D_{n}$ is the cartesian product of the cycle $C_{n}$ of order $n$ and the complete graph $K_{2}$ of order $2$. …”
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1804
Realistic Dynamic Numerical Phantom for MRI of the Upper Vocal Tract
Published 2020-08-01“…The phantom was used to: (1) test different k-space sampling schemes (Cartesian, radial and spiral); (2) create lower frame rate acquisitions by simulating segmented k-space acquisitions; (3) simulate parallel imaging reconstructions (SENSE and GRAPPA). …”
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1805
محاكاة لاقط القطع المكافئ المركب الشمسي ذو مستقبل أنبوبي(CPC) باستخدام تقنية تتبع الشعاع
Published 2017-04-01“…The equations were evaluated using analytical geometry for calculating the Cartesian coordinates of the reflecting surface, then the falling and reflected rays on the detector were calculated. …”
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1806
Synthesis of the Inverse Kinematic Model of Non-Redundant Open-Chain Robotic Systems Using Groebner Basis Theory
Published 2020-04-01“…The developed procedure can be applied to all Cartesian robotic systems, SCARA robots, all the non-redundant robotic manipulators that satisfy the in-line wrist condition, and any non-redundant open-chain robot whose IKM should only solve the positioning problem, such as multi-legged walking robots.…”
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1807
q-Rung Orthopair fuzzy time series forecasting technique: Prediction based decision making
Published 2024-01-01“…We also used numerous algebraic components for the q-Rung orthopair fuzzy time series, which has a union, max-min composition, cartesian product, and algorithm that are useful to calculate the method of data forecasting. …”
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1808
HARA-GAN: Hybrid Attention and Relative Average Discriminator Based Generative Adversarial Network for MR Image Reconstruction
Published 2024-01-01“…The zero filling image was generated using 12.5% under sampling rates for cartesian, and 10% under sampling rates for both radial and spiral under sampling masks. …”
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1809
Philosophical Epistemological Study of Human–Machine Collaborative Technology in Intelligent Manufacturing
Published 2024-02-01“…Therefore, this paper, through ontological reflection, proposes a Cartesian intelligent manufacturing technology development path based on the Internet of Things, Internet of Contents & Knowledge, and Internet of Bodies. …”
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1810
Correcting attenuation effects caused by interactions in the forest canopy in full-waveform airborne laser scanner data
Published 2014-08-01“…For this purpose, the differential backscatter cross sections have to be projected into a Cartesian voxel structure. Thereby the voxel entries represent amplitudes of the cross section and can be interpreted as a local measure for the amount of pulse reflecting matter. …”
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1811
Weighted Total Least Squares (WTLS) Solutions for Straight Line Fitting to 3D Point Data
Published 2020-08-01“…In this contribution the fitting of a straight line to 3D point data is considered, with Cartesian coordinates <inline-formula><math display="inline"><semantics><msub><mi>x</mi><mi>i</mi></msub></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><msub><mi>y</mi><mi>i</mi></msub></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><msub><mi>z</mi><mi>i</mi></msub></semantics></math></inline-formula> as observations subject to random errors. …”
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1812
Phenomenological and Dialogic Thinking in Spiritual Reading: Spiritual Paradigms of Selected Biblical Figures
Published 2023-03-01“…Evanston, Northwestern University Press, 1973. ______., Cartesian Mediations, the Hague: Martinus Nijhoff, 1967. ______., Ideas pertaining to a pure phenomenology and to a phenomenological philosophy (1st book), The Hague -Boston-Lancaster: Springer, 1983. ______., The Crisis of European Sciences and Transcendental Phenomenology, Evanston: Northwestern University Press, 1970. …”
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1813
REGRESIÓN Y CORRELACIÓN DE SUPERFICIES ÓPTICAS DE REVOLUCIÓN EN FORMA CANÓNICA CONOCIDOS LOS RADIOS DE CURVATURA REGRESSÃO E CORRELAÇÃO DE SUPERFÍCIES ÓPTICAS DE REVOLUÇÃO EM FORMA...
Published 2009-12-01“…<br>Three mathematical models are presented for the regression and correlation of a cloud of N points in R3 with Cartesian coordinates xj, yj as abscissas, with his respective ordinate ri as a radius of curvature of the axial or sagittal section, but not corresponding to the Gaussian curvature, with a paraboloid, ellipsoid, and hyperboloid of revolution in canonical form. …”
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1814
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1815
Shock formation in solutions to the 2D compressible Euler equations in the presence of non-zero vorticity
Published 2020“…Specifically, the vorticity remains uniformly bounded, while the vorticity divided by the density exhibits even more regular behavior: the ratio remains uniformly Lipschitz relative to the standard Cartesian coordinates. To control the vorticity, we rely on a coalition of new geometric and analytic insights that complement the ones used by Christodoulou in his groundbreaking, sharp proof of shock formation in vorticity-free regions. …”
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1816
Efficient spherical surface integration of Gauss functions in three-dimensional spherical coordinates and the solution for the modified Bessel function of the first kind
Published 2022“…A computationally concise algorithm is proposed for obtaining the expansion coefficients of polynomial terms when the coordinate system is transformed from cartesian to spherical. The resulting expression for h(s, Q) includes a number of cases of elementary integrals, the most difficult of which is II(n,μ)=∫0πcosnθe-μcosθdθ, with a nonnegative integer n and positive μ. …”
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1817
Performance enhancements for a generic conic interior point algorithm
Published 2022“…Our extensible, open-source conic interior point solver, Hypatia, allows modeling and solving any conic problem over a Cartesian product of exotic cones. In this paper, we introduce Hypatia’s interior point algorithm, which generalizes that of Skajaa and Ye (Math. …”
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1818
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1819
Control and Estimation for Cooperative Manipulator Tasks
Published 2006“…As with most manipulation problems, the inverse kinematics problem must be solved so that the desired endpoint location can be specified in Cartesian coordinates, rather than in the joint space of the manipulator. …”
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1820