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knots geometry and its training in school [PDF]
Euclidean geometry has been taught to students in schools for many years. Topological structures are among the topics that have not received much attention in school geometry.
E. Reyhani
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THE USE OF PENALIZED WEIGHTED LEAST SQUARE TO OVERCOME CORRELATIONS BETWEEN TWO RESPONSES
The non-parametric regression model can consider two correlated responses. However, for these conditions, we cannot use the usual estimation process because there are violations of assumptions.
Anna Islamiyati +6 more
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This study used a biresponse nonparametric regression method with truncated spline estimation that used two response variables. Nonparametric regression method is used when the regression curve is not known for its shape and pattern.One of the ...
Ar Ruum Mia Sari +2 more
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Minimum Number of Colors: the Turk’s Head Knots Case Study [PDF]
An $r$-coloring of a knot diagram is an assignment of integers modulo $r$ to the arcs of the diagram such that at each crossing, twice the the number assigned to the over-arc equals the sum of the numbers assigned to the under-arcs, modulo $r$.
Pedro Lopes, João Matias
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Assortment structure in poplar plantation Populus x euramerjcana I-214 based on European standard [PDF]
Assortment structure in poplar plantation Populus x euramericana I-214 was obtained by European standard for round wood. Based on the data of theoretical cutting, the correlation between total volume of assortments and tree diameter at breast height was ...
Danilović Milorad, Janjatović Gojko
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Aesthetical entanglements in mathematics education
In this study, we develop a perspective on the diverse aesthetics historically associated with mathematics, inspired by Rancière's approach to aesthetics and politics.
Ricardo Nemirovsky +2 more
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Colored Tutte polynomials and composite knots [PDF]
Surveying the results of three recent papers and some currently ongoing research, we show how a generalization of Brylawski's tensor product formula to colored graphs may be used to compute the Jones polynomial of some fairly complicated knots and, in ...
Gábor Hetyei +2 more
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Scaling Conjecture Regarding the Number of Unknots among Polygons of N≫1 Edges
The conjecture is made based on a plausible, but not rigorous argument, suggesting that the unknot probability for a randomly generated self-avoiding polygon of N≫1 edges has only logarithmic, and not power law corrections to the known leading ...
Alexander Y. Grosberg
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Objective. This article discusses spatial large-span structures; provides features of their work; as well as layout examples. General dimensions and ways of stabilizing displacements are given.Method.
A. K. Yusupov +2 more
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Influence of ionic conditions on knotting in a coarse-grained model for DNA
We investigate knotting probabilities of long double-stranded DNA strands in a coarse-grained Kratky-Porod model for DNA with Monte Carlo simulations. Various ionic conditions are implemented by adjusting the effective diameter of monomers.
Sarah Wettermann +2 more
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