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A small microring array that performs large complex-valued matrix-vector multiplication
Frontiers of Optoelectronics, 2022 As an important computing operation, photonic matrix–vector multiplication is widely used in photonic neutral networks and signal processing. However, conventional incoherent matrix–vector multiplication focuses on real-valued operations, which cannot ...
Junwei Cheng +9 more
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Complex Gaussian Multiplicative Chaos [PDF]
Communications in Mathematical Physics, 2015 66 pages, 5 figures, contains open problems and application in 2 dimensional string theory.
Lacoin, Hubert +2 more
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The Teaching of Initial Multiplication Concepts and Skills in Croatian Textbooks
Center for Educational Policy Studies Journal, 2022 The goal of this paper is to describe the teaching of initial multiplication concepts and skills, up to the multiplication table, in the Croatian educational system.
Goran Trupčević, Anđa Valent
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ρ — Adic Analogues of Ramanujan Type Formulas for 1/π
Mathematics, 2013 Following Ramanujan’s work on modular equations and approximations of π, there are formulas for 1/π of the form [PLEASE CHECK FORMULA IN THE PDF] for d = 2, 3, 4, 6, where λd are singular values that correspond to elliptic curves with complex ...
Sarah Chisholm +4 more
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On a Sum of More Complex Product-Type Operators from Bloch-Type Spaces to the Weighted-Type Spaces
Axioms, 2023 The aim of the present paper is to completely characterize the boundedness and compactness of a sum operator defined by some more complex products of composition, multiplication, and mth iterated radial derivative operators from Bloch-type spaces to ...
Cheng-Shi Huang, Zhi-Jie Jiang
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On a problem of Hasse and Ramachandra
Open Mathematics, 2019 Let K be an imaginary quadratic field, and let 𝔣 be a nontrivial integral ideal of K. Hasse and Ramachandra asked whether the ray class field of K modulo 𝔣 can be generated by a single value of the Weber function. We completely resolve this question when
Koo Ja Kyung +2 more
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Journal of Numerical Cognition, 2016 Three experiments were conducted in which adults practiced complex multiplication problems (e.g., 4 x 17). In Experiments 1 and 2, after practice participants completed a number-matching task in which two digits (cues) were followed by a single digit ...
Loel Nicholas Tronsky
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Introductory remarks on complex multiplication
International Journal of Mathematics and Mathematical Sciences, 1982 Complex multiplication in its simplest form is a geometric tiling property. In its advanced form it is a unifying motivation of classical mathematics from elliptic integrals to number theory; and it is still of active interest.
Harvey Cohn
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Journal of Numerical Cognition, 2017 Empirical evidence suggests that working memory (WM) is closely related to arithmetic performance. WM, which is the ability to monitor and update recent information, underlies various cognitive processes and behaviors including planning, self-regulation,
Parvin Nemati +5 more
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ASIC Implementation of Bit Matrix Multiplier [PDF]
E3S Web of Conferences, 2023 In computer science and digital electronics, a bit matrix multiplier (BMM) is a mathematical operation that is used to quickly multiply binary matrices.
Reddy K. Swetha +4 more
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