Early algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 6 of 11: Generating towers 3-cubes tall, selecting from blue and green cubes, from towers with exactly one blue cube to towers with exactly two blue cubes [PDF]
, 1996 In the sixth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie is challenged by researchers Carolyn Maher and Robert Speiser to consider how the eight Unifix-cube towers, selecting from green and blue cubes, that ...
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Enumeration and investigation of acute 0/1-simplices modulo the action of the hyperoctahedral group
Special Matrices, 2017 The convex hull of n + 1 affinely independent vertices of the unit n-cube In is called a 0/1-simplex. It is nonobtuse if none its dihedral angles is obtuse, and acute if additionally none of them is right.
Brandts Jan, Cihangir Apo
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Early algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 2 of 10: Unifix cube towers 4 tall, selecting from two colors, as a model for selecting two objects from a group of four. [PDF]
, 1996 In the second clip in a series of ten from the fifth of seven interviews, 8th grader Stephanie continues her exploration of Early Algebraic Ideas about Binomial Expansion.
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Visualization of finite groups: The case of the Rubik's cube and supporting properties in GeoGebra
Journal of Research and Advances in Mathematics EducationIn this text, we present a discussion about the Rubik's Cube and its relationship with Group Theory, particularly permutation groups, as well as possibilities for exploring it using the GeoGebra software interface.
Renata Teófilo de Sousa +2 more
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Early algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 4 of 7: Investigating numerical and algebraic representations for each case for the number of Unifix-cube towers 4-tall selecting from red and yellow cubes. [PDF]
, 1996 In the fourth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie and researcher Carolyn Maher investigate how to numerically represent the number of Unifix towers for n = 4 cubes tall, selecting from red and yellow cubes,
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A new drag and lift correlation for spherocylinders from fully resolved Immersed Boundary Method
AIChE Journal, EarlyView.Abstract Many industrial processes deal with non‐spherical particles, e.g., mineral mining and biomass conversion. It is crucial to understand the particles' hydrodynamics to control and optimize these processes. To extend the current state‐of‐the‐art from arrays of spherical particles to spherocylindrical particles, we performed extensive particle ...
A. H. Huijgen +4 more
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Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning
Advanced Intelligent Discovery, EarlyView.Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang +4 more
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Early algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 8 of 11: Working backwards from towers 4-cubes tall selecting from blue and green cubes, with exactly two green cubes, to towers with exactly one green cube [PDF]
, 1996 In the eighth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie is asked by researchers Carolyn Maher and Robert Speiser to revisit her set of six Unifix cube towers 4-cubes tall each with exactly two green and two blue ...
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The Alliance between Mengu-Timur and Abaga: The Problem of Sources Interpretation and Translation of Persian and Turkic Terms in Arabic Texts (on the example of “Collection of Materials Relating to the Golden Horde History. Volume I. Excerpts from the Arabic Writings” composed by V.G. Tiesenhausen) » [PDF]
Золотоордынское обозрение, 2015 The Turkish author Ihsan Fazlioğlu presents to attention of readers the second part of the article “A Masterpiece of Computational Mathematics” (“et-Tuhfe fî ilmi’l-hisâb”).
Ihsan Fazlioğlu
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Review and prospects of shear test of bolted rock joints
Deep Underground Science and Engineering, EarlyView.The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren +4 more
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