Results 71 to 80 of about 3,148,152 (262)
Journal of Computer Assisted Learning, Volume 41, Issue 5, October 2025.ABSTRACT Background Empirical studies have revealed students' development of computational thinking (CT) and mathematical thinking (MT) during programming‐based mathematical problem‐solving, highlighting specific CT concepts or practices that serve as learning goals or outcomes.
Huiyan Ye, Biyao Liang, Oi‐Lam Ng
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Certain Diophantine equations and new parity results for $21$-regular partitions [PDF]
, 2023 Ajit Singh, Gurinder Singh, Rupam Barman
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Inhomogeneous Khintchine–Groshev theorem without monotonicity
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2639-2657, September 2025.Abstract The Khintchine–Groshev theorem in Diophantine approximation theory says that there is a dichotomy of the Lebesgue measure of sets of ψ$\psi$‐approximable numbers, given a monotonic function ψ$\psi$. Allen and Ramírez removed the monotonicity condition from the inhomogeneous Khintchine–Groshev theorem for cases with nm⩾3$nm\geqslant 3$ and ...
Seongmin Kim
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A circle method approach to K‐multimagic squares
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract In this paper, we investigate K$K$‐multimagic squares of order N$N$. These are N×N$N \times N$ magic squares that remain magic after raising each element to the k$k$th power for all 2⩽k⩽K$2 \leqslant k \leqslant K$. Given K⩾2$K \geqslant 2$, we consider the problem of establishing the smallest integer N2(K)$N_2(K)$ for which there exist ...
Daniel Flores
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On the Diophantine equation Ax2+22m=yn
International Journal of Mathematics and Mathematical Sciences, 2001 Let h denote the class number of the quadratic field ℚ(−A) for a square free odd integer A>1, and suppose that n>2 is an odd integer with (n,h)=1 and m>1.
Fadwa S. Abu Muriefah
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Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT As part of the efforts aimed at extending Painlevé and Gambier's work on second‐order equations in one variable to first‐order ones in two, in 1981, Bureau classified the systems of ordinary quadratic differential equations in two variables which are free of movable critical points (which have the Painlevé Property).
Adolfo Guillot
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K‐stable Fano threefolds of rank 2 and degree 28
Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.Abstract Moduli spaces of Fano varieties have historically been difficult to construct. However, recent work has shown that smooth K‐polystable Fano varieties of fixed dimension and volume can be parametrised by a quasi‐projective moduli space. In this paper, we prove that all smooth Fano threefolds with Picard rank 2 and degree 28 are K‐polystable ...
Joseph Malbon
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The diophantine equation ni+1=k(dn−1)
International Journal of Mathematics and Mathematical Sciences, 1989 The Diophantine equation of the title is solved for i=3,4 and an infinite family of solutions were found for i≥5.
Steve Ligh, Keith Bourque
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Computer Applications in Engineering Education, Volume 33, Issue 4, July 2025.ABSTRACT Integer and modular arithmetic is a fundamental area of mathematics, with extensive applications in computer science, and is essential for cryptographic protocols, error correction, and algorithm efficiency. However, students often struggle to understand its abstract nature, especially when transitioning from theoretical knowledge to practical
Violeta Migallón +2 more
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On the Diophantine equation x2+2k=yn
International Journal of Mathematics and Mathematical Sciences, 1997 By factorizing the equation x2+2k=yn, n≥3, k-even, in the field Q(i), various theorems regarding the solutions of this equation in rational integers are proved.
S. Akhtar Arif, Fadwa S. Abu Muriefah
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