Research on Curriculum Aesthetics Education Pointing to the Ideological and Political Path of Curriculum—Taking the Mathematics Course of Advanced Algebra and Analytic Geometry as an Example [PDF]
, 2023 Wei Jiang +4 more
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Incremental Model Order Reduction of Smoothed‐Particle Hydrodynamic Simulations
International Journal for Numerical Methods in Fluids, EarlyView.The paper presents the development of an incremental singular value decomposition strategy for compressing time‐dependent particle simulation results, addressing gaps in the data matrices caused by temporally inactive particles. The approach reduces memory requirements by about 90%, increases the computational effort by about 10%, and preserves the ...
Eduardo Di Costanzo +3 more
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An Introduction to Algebraical Geometry. By A. Clement-Jones, M.A., Ph.D., Senior Mathematical Master at the Bradford Grammar School. Pp. 548. 1912. (Clarendon Press). [PDF]
, 1913 William P. Milne
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Perspective Projection of an Ellipse and an Ellipsoid for Analytical View Factor Evaluation
Heat Transfer, EarlyView.ABSTRACT Radiative view factors are fundamental quantities for evaluating radiative heat transfer between different surfaces. While analytical expressions of view factors have been evaluated for various types of basic geometries, including circular disks and spheres, extending these solutions to more complex geometries, such as ellipses and ellipsoids ...
Kaname Sasaki
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D. E. Evans and M. Takesaki Operator algebras and applications, Volume 1: Structure theory; K-theory, geometry and topology; Volume 2: Mathematical physics and subfactors (London Mathematical Society Lecture Note Series 135, 136, Cambridge University Press, Cambridge1988) Vol. 1, viii + 244 pp, paper: 0 521 36843 X, £17.50; Vol. 2, viii + 240 pp, paper: 0 521 36844 8, £17.50. [PDF]
, 1989 Allan M. Sinclair
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Steiner Triple Systems With High Discrepancy
Journal of Combinatorial Designs, EarlyView.ABSTRACT In this paper, we initiate the study of discrepancy questions for combinatorial designs. Specifically, we show that, for every fixed r ≥ 3 $r\ge 3$ and n ≡ 1 , 3 ( mod 6 ) $n\equiv 1,3\,(\mathrm{mod}\,6)$, any r $r$‐colouring of the triples on [ n ] $[n]$ admits a Steiner triple system of order n $n$ with discrepancy Ω ( n 2 ) ${\rm{\Omega }}({
Lior Gishboliner +2 more
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New Difference Triangle Sets by a Field‐Programmable Gate Array‐Based Search Technique
Journal of Combinatorial Designs, EarlyView.ABSTRACT We provide some difference triangle sets with scopes that improve upon the best known values. These are found with purpose‐built digital circuits realized with field‐programmable gate arrays (FPGAs) rather than software algorithms running on general‐purpose processors.
Mohannad Shehadeh +2 more
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On the Q $Q$‐Polynomial Property of Bipartite Graphs Admitting a Uniform Structure
Journal of Combinatorial Designs, EarlyView.ABSTRACT Let Γ ${\rm{\Gamma }}$ denote a finite, connected graph with vertex set X $X$. Fix x ∈ X $x\in X$ and let ε ≥ 3 $\varepsilon \ge 3$ denote the eccentricity of x $x$. For mutually distinct scalars { θ i * } i = 0 ε ${\{{\theta }_{i}^{* }\}}_{i=0}^{\varepsilon }$ define a diagonal matrix A * = A * ( θ 0 * , θ 1 * , … , θ ε * ) ∈ Mat X ( R ) ${A}^
Blas Fernández +3 more
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Limnology and Oceanography: Methods, EarlyView.Abstract The inverse problem in remote sensing of aquatic environment consists in retrieving optically significant constituents (OSCs) from a spectral measurement of the remote sensing reflectance (Rrs$$ {R}_{\mathrm{rs}} $$).Optically significant constituent includes chlorophyll a concentration (Chl a$$ Chl\ a $$), a proxy of phytoplankton biomass ...
Soham Mukherjee +2 more
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Reversal Asymmetry of Reciprocal Metasurface Enables Ultra‐Compact Varifocal Reflective Lens
Laser &Photonics Reviews, EarlyView.The possibility of breaking the reversal symmetry of a lens without violating reciprocity is demonstrated. The freedom provided is utilized to realize an ultra‐compact reflective varifocal lens‐doublet based on a flat metasurface lens and a piezoelectric actuated micromirror.
Christopher A. Dirdal +6 more
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