19 papers · ranked by Valyu relevance
Theodoros Anagnostopoulos, Evanthia Zervoudi, Christos Anagnostopoulos, Apostolos Christopoulos + 1 more
Linear regression analysis focuses on predicting a numeric regressand value based on certain regressor values. In this context, k-Nearest Neighbors (k-NN) is a common non-parametric regression algorithm, which achieves efficient performance when compared with other algorithms in literature. In this research effort an…
Elisabeth Goettfried, Laura Zamarian, Jerrell Cassady
The investigation of eye movements has been shown to provide valuable insights into a variety of cognitive processes. A limited number of recent studies have adopted eye-tracking to investigate the processes underlying simple and complex arithmetic. Here, we review and discuss these studies. We identify two lines of…
M Kalinova, B Kerkova, A Kalina, V Pytelova + 8 more
Arithmetic requires complex and fast processes orchestrated within a large-scale network spanning multiple brain regions. However, reports on the network’s temporal dynamics are scarce. Here, we present data from intracranial EEG (iEEG) of 20 subjects (epilepsy surgery candidates) performing a sequential three-operand…
Omid Khormali, Ghaya Mtimet, Nuh Aydin, Mohammad K. Azarian
We develop a unified framework for studying the integers missing between consecutive terms of an increasing integer sequence, extending Barry's arithmetic gap-sum to geometric and harmonic analogues via the theory of quasi-arithmetic means. All three gap-sums admit a common interpretation: each equals the gap size…
Héctor Rojas-Pescio, Marco Villalta, Max Chacón
Graded cognitive tasks are relevant only when increasing nominal difficulty produces measurable changes in performance and a convergent physiological response. This study evaluated a five-level arithmetic paradigm and a five-level linguistic paradigm designed to engage working memory through separate exposure…
Simge Altınok, Sertaç Üstün, Kevser Aktaş, Nihal Apaydın + 1 more
Mathematics achievement can be influenced by negative emotions and expectations related to numerical tasks. Individuals with high mathematics anxiety often show poorer numerical performance. This study investigated the neural mechanisms underlying different levels of numerical processing associated with mathematics…
Nuh Aydin, Mohammad K. Azarian, Omid Khormali, Ghaya Mtimet
The square-and-multiply algorithm, also known as binary exponentiation or repeated squaring, is a technique for fast exponentiation commonly used in modern cryptography and computational number theory. Despite its prominence, the historical origins of the algorithm are not known with certainty. This paper critically…
Eric B. Olsen
Residue Number Systems (RNS) offer efficient modular arithmetic and natural parallelism, but direct integer division in RNS remains a difficult and comparatively underdeveloped operation. This paper builds on the type-II division algorithm of Szabo and Tanaka and reformulates it for more efficient hardware…
Narinder Kumar Wadhawan
Scientific calculations involving operations of multiplication, division, exponents, inverse of exponents of real numbers, geometric mean, reciprocal, Euler's number, logarithm, antilogarithm of a real number, are generally carried out with battery operated electronic calculators. In this paper, geometric methods…
Manqi Zhou, Shiyan Ji, Yalun Zhang, Huijuan Shen + 9 more
Mastering basic arithmetic lays the foundation for lifelong mathematical achievement, yet how the neural mechanisms underlying addition and subtraction calculations develop during childhood remain unclear. This study investigated the developmental trajectories of addition and subtraction calculations in school-aged…
Rafik Aliev, Oleg Huseynov, Aziz Nuriyev, Eugene Kagan + 1 more
The concept of the Z-number was introduced to formalize partially reliable information. A Z-number represents linguistic evaluations of a random variable’s value and the associated reliability degree. The latter is defined as a fuzzy restriction on the value of a probability measure since the actual probability…
Ziqi Jian, Jingshi Huang, Feng Shi, Yoshihiro Shimomura
Background Mental arithmetic tasks effectively induce psychological stress responses, but anticipatory stress responses before task onset are often overlooked. This study investigates how task difficulty influences anticipatory stress through heart rate variability time-domain analysis. Methods This study developed a…
Chandradew Sharma
Why does (-)x(-)=+? Although every student learns this rule, many accept it as a convention rather than as a mathematical necessity. This article develops a conceptual explanation by tracing the evolution of number from counting objects to representing opposites. Beginning with the emergence of numerals, place value…
Authors not listed
While the method of manual inspection reliably produces correct results at the introductory level, it can often appear untidy and unintuitive and lacks teachable depth. This paper presents a novel alternative approach designed to achieve the same outcomes as manual inspection but with enhanced clarity. It serves as…
András Biró
Let $Γ\subseteq PSL(2, \mathbb R)$ be a finite volume Fuchsian group. The hyperbolic circle problem is the estimation of the number of elements of the $Γ$-orbit of $z$ in a hyperbolic circle around $w$ of radius $R$, where $z$ and $w$ are given points of the upper half plane and $R$ is a large number. An estimate with…
Wadhawan, Narinder Kumar, Wadhawan, Priyanka
We have proved in this paper that natural logarithm of consecutive number ratio, x/(x-1) approximates to 2/(2x - 1) where x is a real number except 1. Using this relation, we, then proved, x approximates to double the sum of odd harmonic series having first and last terms 1/3 and 1/(2x - 1) respectively. Thereafter…
Authors not listed
This document presents a comprehensive heuristic algorithm for the teaching and practice of fundamental inorganic chemistry in representative elements. A logical-deductive method is proposed, starting from the electronic configuration and Hund’s Maximum Multiplicity Principle to determine valence by counting unpaired…
Authors not listed
Traditional electron-configuration notation (e.g. 1s^2 2s^2 2p^6) compresses multi-electron quantum information into integer occupancies that convey allowed maxima and most-probable arrangements but obscure the underlying probabilistic distribution and the spread of possible measurement outcomes. We present a…
Gabriella Daroczy, Felix Cramer, Christina Artemenko, Thomas E. Hunt + 1 more
Word problems are notoriously difficult for students to solve and require both mathematical and linguistic processes. Moreover, word problem-solving performance might also be negatively affected by mathematics (math) anxiety, particularly when task complexity increases. Therefore, the study investigated whether math…