Abstract: Ramanujan sums have in the past been used to represent arithmetic sequences. It is shown here that for finite duration (FIR) sequences with length N, the traditional representation is not ...

Abstract: In this paper, we discuss the ambiguity function (AF) synthesis problem for unimodular sequences, which are widely used in radar/sonar and communication systems. Notions of discrete-time ...

Aug. 22, 2025 — A research team has created a quantum logic gate that uses fewer qubits by encoding them with the powerful GKP error-correction code. By entangling quantum vibrations inside a single ...

The unit circle Solving trigonometric equations Circular function graphs. To determine if this resource will benefit you, start by answering the following questions. What is the difference between ...

This fifth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Nurturing Reflective Learners in Mathematics is unique in that it focuses on a single ...

Researchers from Cambridge and the Hebrew University tested ChatGPT with a 2,400-year-old “doubling the square” puzzle to explore AIs reasoning. While the chatbot solved the square challenge, it ...

Department of Mathematics, Islamic Azad University-Tabriz Branch, Tabriz 1655, Iran ...