Results 21 to 30 of about 72,144 (311)
A Functional Equation in Arithmetic [PDF]
Transactions of the American Mathematical Society, 1936 which occurs in all theories of numerical functions hitherto considered. The two most highly developed theories of this kind are those in which multiplication in the ring of all numerical functions is abstractly identical with C (Cauchy) or D (Dirichlet) multiplication of infinite series.t Lehmer's five postulates are sufficient for the development of ...
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A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions [PDF]
Mathematica BohemicaA specially multiplicative arithmetic function is the Dirichlet convolution of two completely multiplicative arithmetic functions. The aim of this paper is to prove explicitly that two mathematical objects, namely $(a,b)$-Fibonacci sequences and ...
Emil Daniel Schwab, Gabriela Schwab
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Arithmetic properties of Ramanujan's general partition function for modulo 11
Kuwait Journal of Science, 2020 In the present work, for the general partition function $p_k(n)$, we establish five new infinite families of congruences. Our emphasis throughout this paper is to exhibit the use of $q$-identities to generate congruences for the general partition ...
Srivatsa Kumar Belakavadi Radhakrishna +2 more
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Physical Review Research, 2023 Many computational problems can be formulated in terms of high-dimensional functions. Simple representations of such functions and resulting computations with them typically suffer from the “curse of dimensionality,” an exponential cost dependence on ...
Ruojing Peng +2 more
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On the Arithmetic of Abelina Functions [PDF]
Proceedings of the National Academy of Sciences, 1927 Systematic application of abelian functions to the theory of numbers discloses many new arithmetical phenomena of considerable interest. Particularly is this the case when the periods of the functions are connected by one or more singular relations in the usual sense.
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Frontal Midline Theta Oscillations during Mental Arithmetic: Effects of Stress
Frontiers in Behavioral Neuroscience, 2015 Complex cognitive tasks such as mental arithmetic heavily rely on intact, well-coordinated prefrontal cortex (PFC) function. Converging evidence suggests that frontal midline theta (FMT) oscillations play an important role during the execution of such ...
Matti eGärtner +5 more
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Bounds for the Neuman–Sándor Mean in Terms of the Arithmetic and Contra-Harmonic Means
Axioms, 2022 In this paper, the authors provide several sharp upper and lower bounds for the Neuman–Sándor mean in terms of the arithmetic and contra-harmonic means, and present some new sharp inequalities involving hyperbolic sine function and hyperbolic cosine ...
Wen-Hui Li, Peng Miao, Bai-Ni Guo
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FEBS Open Bio, EarlyView.We propose a context‐dependent model where the Duchenne muscular dystrophy (DMD) gene acts as a tumour suppressor in aggressive tumours and as an oncogene in less aggressive ones. We propose this model as a unified framework to explain the opposing survival associations with DMD expression and to guide experimental exploration of the dual role of DMD ...
Lee Machado +4 more
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Frontiers in Human Neuroscience, 2014 The current study investigated the influence of cardiorespiratory fitness on arithmetic cognition in forty 9-10 year old children. Measures included a standardized mathematics achievement test to assess conceptual and computational knowledge, self ...
Robert D Moore +4 more
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Arithmetic Errors in Financial Contexts in Parkinson’s Disease
Frontiers in Psychology, 2021 Research on dyscalculia in neurodegenerative diseases is still scarce, despite high impact on patients’ independence and activities of daily living function.
Hannah D. Loenneker +6 more
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