Early algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 1 of 7: Stephanie revisits generating Unifix-cube towers 4-tall from exactly one to exactly two red cubes. [PDF]
In the first clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie revisits her earlier exploration of how to generate Unifix-cube towers across cases with researchers Carolyn Maher and Donna Weir.
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The First Mathematical Book in the Golden Horde State: A Masterpiece of Computational Mathematics (“et-Tuhfe fî ilmi’l-hisâb”) (1) [PDF]
The author of this article represents the first example of the scientific activity in the Golden Horde, which began before Janibeg khan and during the reign of his father, Uzbek khan.
Ihsan Fazlioglu
doaj
Quadratic Jordan algebras and cubing operations [PDF]
In this paper we show how the Jordan structure can be derived from the squaring and cubing operations in a quadratic Jordan algebra, and give an alternate axiomatization of unital quadratic Jordan algebras in terms of operator identities involving only a single variable.
openaire +2 more sources
This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro +2 more
wiley +1 more source
The Algebra of Rubik\u27s Cube [PDF]
Rubik\u27s Cube, patented in 1975 by Erno Rubik, is a common household puzzle toy that many people recognize. Besides its appeal as a logic game, the Cube provides an excellent model through which to examine concepts of group theory, a major component of
Gearhart, Gemma
core
ABSTRACT Background Artificial intelligence (AI) applied to magnetic resonance imaging (MRI) may improve detection of cervical lymph node metastases in oral squamous cell carcinoma (OSCC) but is heterogeneous. Methods A systematic review identified observational studies (from 2000) evaluating AI‐based MRI in adults with histopathologically confirmed ...
José Evando da Silva‐Filho +8 more
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Approximation properties for discrete groups [PDF]
We give an overview of approximation properties in the context of operator algebras associated with ...
Brodzki, Jacek, Niblo, Graham A.
core
Novel Bernstein‐Kantorovich Type Operators
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
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partial translation algebras for certain discrete metric spaces [PDF]
The notion of a partial translation algebra was introduced by Brodzki, Nibloand Wright in [11] to provide an analogue of the reduced group C*-algebrafor metric spaces.
Putwain, Rosemary Johanna
core
Early algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 6 of 7: Making sense of the Pascal Triangle addition rule with Unifix cube towers . [PDF]
In the sixth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie first revisits her investigation of the number of duplicates that would be produced when building Unifix-cube towers 4-tall with three red cubes from the ...
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