Results 71 to 80 of about 3,530,646 (225)
The Diophantine Equation and -Balancing Numbers
, 2014 Let be an odd integer such that is a prime. In this work, we determine all integer solutions of the Diophantine equation and then we deduce the general terms of all -balancing numbers.
A. Tekcan, Merve Tayat, M. Özbek
semanticscholar +1 more source
A Linear Diophantine Fuzzy Graph‐Theoretic Approach for Planar Dynamic Traffic Optimization
Applied Computational Intelligence and Soft Computing, Volume 2026, Issue 1, 2026.Dynamic urban traffic signal control systems face uncertainties such as fluctuating vehicle densities, unpredictable incidents, and varying driver behaviors, making precise decision‐making highly challenging. To address these complexities, fuzzy planar graphs have been employed for uncertainty modeling.
Waheed Ahmad Khan +5 more
wiley +1 more source
Heterogeneous Fuzzy Group Decision‐Making Model With Mixed Criteria
Advances in Fuzzy Systems, Volume 2026, Issue 1, 2026.Organizational decisions, often originating from diverse groups of managers with varying criteria, encounter challenges due to the inherent ambiguity in human judgments, particularly those involving preferences. This paper proposes a nuanced solution using a heterogeneous fuzzy group decision‐making method, accommodating diverse criteria based on real ...
Akbar Karimi +3 more
wiley +1 more source
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
doaj +1 more source
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
doaj +1 more source
Curves of best approximation on wonderful varieties
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3941-3948, December 2025.Abstract We give an unconditional proof of the Coba conjecture for wonderful compactifications of adjoint type for semisimple Lie groups of type An$A_n$. We also give a proof of a slightly weaker conjecture for wonderful compactifications of adjoint type for arbitrary Lie groups.
Christopher Manon +2 more
wiley +1 more source
Euclidean algorithms are Gaussian over imaginary quadratic fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley +1 more source
The Diophantine equation ax2+2bxy−4ay2=±1
International Journal of Mathematics and Mathematical Sciences, 2003 We discuss, with the aid of arithmetical properties of the ring of the Gaussian integers, the solvability of the Diophantine equation ax2+2bxy−4ay2=±1, where a and b are nonnegative integers.
Lionel Bapoungué
doaj +1 more source
Iitaka fibrations and integral points: A family of arbitrarily polarized spherical threefolds
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analog of Iitaka fibrations, which have not yet been adequately
Ulrich Derenthal, Florian Wilsch
wiley +1 more source
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
wiley +1 more source