Abstract Acquiring mathematical competence is essential to independent living. In this study, we investigated the mathematics profile in young people with Down syndrome (DS), and the relations between foundational and more complex mathematics skills.
Su Morris +2 more
wiley +1 more source
The singularity obstruction for group splittings [PDF]
We study an obstruction to splitting a finitely generated group G as an amalgamated free product or HNN extension over a given subgroup H and show that when the obstruction is "small" G splits over a related subgroup.
G.A. Niblo, Niblo, G.A.
core +1 more source
Scalable Computation of Topological Abstractions for Scalar Data
Abstract Topological data analysis has become an important tool for large scale scalar data analysis and visualization, efficiently extracting the inherent structure and features of interest of the data. However, with growing dataset sizes and complexity, it is increasingly becoming infeasible to compute topological abstractions of interest in serial ...
M. Will +6 more
wiley +1 more source
Early algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 3 of 10: Unifix cube towers 4 tall, selecting from two colors, as a model for selecting three, four or zero objects from a group of four. [PDF]
In the third 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.
core +1 more source
On some subvarieties of IMTn-algebras and the partitions of the m-cube
Prelinear, bounded, integral, residuated, commutative lattices form the variety \(\mathbb{MTL}\) of MTL-algebras, which in turn constitutes the algebraic semantics of the logic of all left-continuous t-norms. The paper studies some subvarieties of \(\mathbb{MTL}\).
Cornejo, Juan Manuel +1 more
openaire +3 more sources
ON THE STABLE RANK OF ALGEBRAS OF OPERATOR FIELDS OVER AN $N$-CUBE [PDF]
Summary: Let \({\mathcal A}\) be a unital maximal full algebra of operator fields with base space \([0,1]^k\) and fibre algebras \(\{{\mathcal A}_t\}^k_{t\in[0,1]}\). It is shown in this paper that the stable rank of \({\mathcal A}\) is bounded above by the quantity \(\sup_{t\in[0,1]^k}\text{sr}(C([0,1]^k)\otimes{\mathcal A}_t)\), where `sr' means ...
Ng, Ping Wong, Sudo, Takahiro
openaire +1 more source
The Role of Dice in the Emergence of the Probability Calculus
Summary The early development of the probability calculus was clearly influenced by the roll of dice. However, while dice have been cast since time immemorial, documented calculations on the frequency of various dice throws date back only to the mid‐13th century.
David R. Bellhouse, Christian Genest
wiley +1 more source
Measure‐valued processes for energy markets
Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source
Early algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 7 of 7: Finding a general direct "rule" for the number of Unifix-cube towers, selecting from two colors, for any height. [PDF]
In the final clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie responds to questions from researcher Carolyn Maher about problems that she and her classmates had encountered in the past, particularly when working with ...
core +1 more source
Solving Stochastic Climate‐Economy Models: A Deep Least‐Squares Monte Carlo Approach
ABSTRACT Stochastic versions of recursive integrated climate‐economy assessment models are essential for studying and quantifying policy decisions under uncertainty. However, as the number of state variables and stochastic shocks increases, solving these models via deterministic grid‐based dynamic programming (e.g., value‐function iteration/projection ...
Aleksandar Arandjelović +4 more
wiley +1 more source

