optimization

This study assessed the internal and external determinants affecting junior high school mathematics performance among public secondary school students in Dalaguete I District, Cebu, during the school year 2024–2025. Anchored on Bandura’s Social Cognitive Theory and Weiner’s Attribution Theory, the study examined how psychological, environmental, school-related, teacher-related, and family-related…

The Math Cure for Your Layout Headaches Grab a cup of coffee and let's have a real talk about responsive design. We have all been there: you build a gorgeous layout, and it looks absolutely crisp on your 27-inch 5K monitor. But the moment you test it on an iPhone SE or a giant ultra-wide screen, the design completely falls apart. Headlines either stretch into monstrous proportions or shrink down …

This is a question from someone who is not a professional mathematician. I was reading the preprint https://arxiv.org/pdf/2605.20579v1 and found I could improve the exponent in the lower bound ...

Although ethnomathematics studies have been widely conducted on various local cultures in Indonesia, research that specifically discusses the identification of mathematical values in Balikpapan community culture remains limited. This study aims to identify and describe the mathematical values contained in Balikpapan culture through an ethnomathematics study. This study employed a qualitative appr…

This paper establishes a conditionally rigorous closure theorem for the low-energy spatial spectral dimension dspace = 3 in Algebraic Quan tum Morphogenesis (AQM). Earlier AQM material proposed a dimensional emergence argument based on nested Dirac recursion and a free-convolution attractor. The present paper makes a rigorous correction to that argu ment: free probability is no longer used as the…

Friends, despite all problems I am working, and I have checked the main algorithm to work fine, and I hope that I would be able to produce a basic program for optimization of correlation coefficients  sometime over this weekend that will at least work with the basic algorithm. But this might just be an intermediate program with more improvements to follow for the program for calculation of correl…

Solve the math puzzle from our June 2026 issue, where an ant navigates the surface of various objects to find the shortest path to her dinner.

Whenever you can rewrite an optimization problem so that fixing some variables makes the rest separable, you could try Benders. The post Benders’ Decomposition 101: How to Crack Open a Stochastic Program That’s Too Big to Swallow Whole appeared first on Towards Data Science .

Open-pit mine production scheduling is a complex optimization problem that requires balancing economic performance with operational feasibility and environmental responsibility. While significant advances have been made in mathematical formulations, many existing approaches remain computationally demanding, lack transparency, or are implemented within proprietary systems that limit reproducibilit…

For any spacelike hypersurface r = R(v) separating two regions of a D-dimensional generalized Vaidya spacetime (D ≥ 4), with Ṙ > f/2, continuous Misner–Sharp mass at the boundary, and a common orientation branch on the two sides, the angular extrinsic curvature jump vanishes identically: [K^θ̂_θ̂] = 0. The result follows from a general warped-product identity: on any spherically symmetric non-nul…

Let p be a monic polynomial of degree three and putΓp = {z ∈ C : |p(z)| = 1}, L(p) = H1(Γp).We prove thatL(p) ≤ L(z3 − 1) = 21/3B16,12.The proof uses the extremal reduction of Eremenko and Hayman, which permits one topass to a normalized cubic whose critical points lie on the lemniscate. The remainingone-parameter family is reduced by the Chebyshev identity for T3 and the Joukowskimap to an eleme…

SGUP-600cell: A Finite Spectral Geometry Unifying Physics & Mathematics Luis Morató de Dalmases (2026) Summary of the 7 files File 0 – The Complete SGUP-600cell FrameworkOverview of the entire model: unifies particle physics, gravity, and the Riemann Hypothesis in a finite spectral geometry. File 1 – FoundationsGeometric description of the 600-cell (120 vertices, H₄ symmetry), the two complex bit…

Let $A=[a_{ij}]\in\mathbb{R}^{n\times n}$ be a real symmetric positive definite matrix, and let $b\in\mathbb{R}^n$ be a given vector. Assume that no eigenvector of $A$ is orthogonal to $b$, i.e., for ...

Friends, before I write full-fledged Newton algorithm for correlation coefficients, it is important to have a secondary algorithm that finds a guess that is good enough to be in the Newton catchment limit for Newton algorithm to work. And tonight, I am trying to write that algorithm. The logic of the new algorithm is very simple. We know that sum of squared correlation coefficients including the …

The quadratic sandwich If you have ever tried to minimize a function with gradient descent, you probably noticed that some functions are a joy to optimize and others are a nightmare. The difference often boils down to two properties: strong convexity and L-smoothness. These two concepts define a “sandwich” of quadratic bounds around your function that tells you exactly how well-behaved it is. If …

This study investigated the effectiveness of the Sign Dominance and Distance (SDD) Technique in improving Grade 7 students’ performance in integer operations, particularly addition and subtraction of integers, at Calamba National Comprehensive High School during the School Year 2025–2026. Anchored on Constructivist Theory, the study addressed the persistent conceptual difficulties learners experi…

Abstract A one to one correspondence is established between a class of positive real rational functions with finite dimensional Naimark realizations and the set of sequences of pairs consisting of a strictly positive operator and a skew symmetric operator on a non-increasing sequence of subspaces.

This work reports on a pilot study for optimizing the design of a fast neutron irradiation experiment in a thermal neutron spectrum, specifically the Advanced Test Reactor (ATR). A fast and robust multi-objective optimization workflow that leverages Python-based open-source tools was developed and applied to the ATR to optimize experiment design and boost fast energy neutrons at a desired irradia…