Tootfinder

Mathematics A Missing Factor in Assessing the Antiquity of Vedanga Jyotisa
Jaidev Dasgupta
https://arxiv.org/abs/2506.02216 https://a…

Mathematics A Missing Factor in Assessing the Antiquity of Vedanga Jyotisa
While reading ancient texts one has to be cognizant of the assumptions made about the past. One has to ask: Are these assumptions valid? Are we projecting the present views into the past? A case in point is the dating of Vedanga Jyotisa. This note reports that due to mathematics being overlooked in the various attempts of assessing the time of composition of the text, the latter was dated much before the period when its mathematics was actually feasible.

from my link log —
How to write mathematics. (1973)
https://sites.math.washington.edu/~lind/Resources/Halmos.pdf
saved 2025-02-22

Path Signatures for Feature Extraction. An Introduction to the Mathematics Underpinning an Efficient Machine Learning Technique
Stephan Sturm
https://arxiv.org/abs/2506.01815

Path Signatures for Feature Extraction. An Introduction to the Mathematics Underpinning an Efficient Machine Learning Technique
We provide an introduction to the topic of path signatures as means of feature extraction for machine learning from data streams. The article stresses the mathematical theory underlying the signature methodology, highlighting the conceptual character without plunging into the technical details of rigorous proofs. These notes are based on an introductory presentation given to students of the Research Experience for Undergraduates in Industrial Mathematics and Statistics at Worcester Polytechnic …

Replaced article(s) found for cs.DM. https://arxiv.org/list/cs.DM/new
[1/1]:
- Contributions to conjectures in planar graphs: Induced Subgraphs, Treewidth, and Dominating Sets
Kengo Enami, Naoki Matsumoto, Takamasa Yashima

Is there Ethics in Mathematics?
Roman Kossak
https://arxiv.org/abs/2507.01185 https://arxiv.org/pdf/2507.01185

Is there Ethics in Mathematics?
This is a critical response to some arguments and general recommendations presented in a discussion paper Four Levels of Ethical Engagement [EiM Discussion Paper 1/2018 University of Cambridge Ethics in Mathematics Project, https://www.ethics-in-mathematics.com/assets/dp/18 1.pdf] by Maurice Chiodo and Piers Bursill-Hall. Much in their article is based on certain observations about characteristic psychological traits of mathematicians and their patterns of behavior that I find to be in stark co…

"My advice to young students today is to study language and mathematics. When you talk to a chatbot, you’re using everyday language to talk to a mathematical system that, in turn, talks back to you. Technical skills won’t be enough to deal with the unpredictable results in markets, so a broad-based knowledge of math and language will be the only way to adapt."

[2025-06-04 Wed (UTC), no new articles found for math.GM General Mathematics]
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Dyna-Think: Synergizing Reasoning, Acting, and World Model Simulation in AI Agents
Xiao Yu, Baolin Peng, Ruize Xu, Michel Galley, Hao Cheng, Suman Nath, Jianfeng Gao, Zhou Yu
https://arxiv.org/abs/2506.00320

Dyna-Think: Synergizing Reasoning, Acting, and World Model Simulation in AI Agents
Recent progress in reasoning with large language models (LLMs), such as DeepSeek-R1, demonstrates impressive capabilities in domains like mathematics and coding, by exhibiting complex cognitive behaviors such as verification, goal decomposition, and self-reflection. However, it is unclear what behavior is effective and what behavior is missing for long-horizon AI agents tasks. In this work, we propose Dyna-Think, a thinking framework that integrates planning with an internal world model with re…

This https://arxiv.org/abs/2505.16401 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

Divide-Fuse-Conquer: Eliciting "Aha Moments" in Multi-Scenario Games
Large language models (LLMs) have been observed to suddenly exhibit advanced reasoning abilities during reinforcement learning (RL), resembling an ``aha moment'' triggered by simple outcome-based rewards. While RL has proven effective in eliciting such breakthroughs in tasks involving mathematics, coding, and vision, it faces significant challenges in multi-scenario games. The diversity of game rules, interaction modes, and environmental complexities often leads to policies that perform well in…

Eka-Eval : A Comprehensive Evaluation Framework for Large Language Models in Indian Languages
Samridhi Raj Sinha, Rajvee Sheth, Abhishek Upperwal, Mayank Singh
https://arxiv.org/abs/2507.01853

Eka-Eval : A Comprehensive Evaluation Framework for Large Language Models in Indian Languages
The rapid advancement of Large Language Models (LLMs) has intensified the need for evaluation frameworks that go beyond English centric benchmarks and address the requirements of linguistically diverse regions such as India. We present EKA-EVAL, a unified and production-ready evaluation framework that integrates over 35 benchmarks, including 10 Indic-specific datasets, spanning categories like reasoning, mathematics, tool use, long-context understanding, and reading comprehension. Compared to e…

The concept of nullity in general spaces and contexts
Suddhasattwa Das
https://arxiv.org/abs/2507.00212 https://arxiv.org/pdf/2507.00…

The concept of nullity in general spaces and contexts
The notion of nullity is present in all discourses of mathematics. The two most familiar notions of nullity are "almost-every" and "almost none". A notion of nullity corresponds to a choice of subsets that one interprets as null or non-empty. The rationale behind this choice depends on the context, such as Topology or Measure theory. One also expects that the morphisms or transformations within the contexts preserve the nullity structures. Extending this idea, a generalized notion of nullity is…

[2025-07-04 Fri (UTC), 1 new article found for cs.DM Discrete Mathematics]
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On the regularization property of Levenberg-Marquardt method with Singular Scaling for nonlinear inverse problems
Rafaela Filippozzi, Everton Boos, Douglas S. Gon\c{c}alves, Fermin S. V. Baz\'an
https://arxiv.org/abs/2506.00190

On the regularization property of Levenberg-Marquardt method with Singular Scaling for nonlinear inverse problems
Recently, in Applied Mathematics and Computation 474 (2024) 128688, a Levenberg-Marquardt method (LMM) with Singular Scaling was analyzed and successfully applied in parameter estimation problems in heat conduction where the use of a particular singular scaling matrix (semi-norm regularizer) provided approximate solutions of better quality than those of the classic LMM. Here we propose a regularization framework for the Levenberg-Marquardt method with Singular Scaling (LMMSS) applied to nonline…

Benchmarking Adelaide
Great Australian Pods Podcast Directory: #GreatAusPods

Benchmarking Adelaide | Great Australian Pods Podcast Directory
Podcast: Benchmarking Adelaide Host: Sam Dighton Category: Society & Culture Sub-Category: Entrepreneurship, Local News & Stories, Mathematics & Data Science First Episode: 2024 We sit down with…

Harnessing Patterns to Support the Development of Hybrid Quantum Applications
Daniel Vietz, Martin Beisel, Johanna Barzen, Frank Leymann, Lavinia Stiliadou, Benjamin Weder
https://arxiv.org/abs/2507.00696

Harnessing Patterns to Support the Development of Hybrid Quantum Applications
Quantum computing provides computational advantages in various domains. To benefit from these advantages complex hybrid quantum applications must be built, which comprise both quantum and classical programs. Engineering these applications requires immense expertise in physics, mathematics, and software engineering. To facilitate the development of quantum applications, a corresponding quantum computing pattern language providing proven solutions to recurring problems has been presented. However…

Automatic detection of overshooting tops and their properties from visible satellite channels
Ane\v{z}ka Dole\v{z}alov\'a (Department of Atmospheric Physics, Faculty of Mathematics and Physics, Charles University), Jakub Seidl (Czech Hydrometeorological Institute), Jind\v{r}ich \v{S}\v{t}\'astka (Czech Hydrometeorological Institute), J\'an Ka\v{n}\'ak (Slovak Hydrometeorological Institute)

Automatic detection of overshooting tops and their properties from visible satellite channels
Overshooting tops (OTs) are critical indicators of convective storm intensity and are widely utilized in meteorological analyses. This study presents an automated algorithm for OT detection and OT height estimation using convolutional neural networks applied to visible satellite imagery. The models are trained and validated on an extensive OT dataset comprising approximately 10,000 manually detected cases over Europe. The OTs were identified from high-resolution visible (HRV) channel of the SEV…

The Weak Version of the Graph Complement Conjecture and Partial Results for the Delta Conjecture
Francesco Barioli, Shaun M. Fallat, Himanshu Gupta, Zhongshan Li
https://arxiv.org/abs/2505.24577

The Weak Version of the Graph Complement Conjecture and Partial Results for the Delta Conjecture
Since the transformative workshop by the American Institute of Mathematics on the minimum rank of a graph, two longstanding open problems have captivated the community interested in the minimum rank of graphs: the graph complement conjecture and the $δ$-conjecture. In this paper, we use a classical result of Mader (1972) to establish a weak version of the graph complement conjecture for all key minimum rank parameters. In addition, again using the same result of Mader, we present some extremal…

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
—Bertrand Russell

[2025-06-05 Thu (UTC), no new articles found for math.GM General Mathematics]
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Evaluation of LLMs for mathematical problem solving
Ruonan Wang, Runxi Wang, Yunwen Shen, Chengfeng Wu, Qinglin Zhou, Rohitash Chandra
https://arxiv.org/abs/2506.00309

Evaluation of LLMs for mathematical problem solving
Large Language Models (LLMs) have shown impressive performance on a range of educational tasks, but are still understudied for their potential to solve mathematical problems. In this study, we compare three prominent LLMs, including GPT-4o, DeepSeek-V3, and Gemini-2.0, on three mathematics datasets of varying complexities (GSM8K, MATH500, and UNSW datasets). We take a five-dimensional approach based on the Structured Chain-of-Thought (SCoT) framework to assess final answer correctness, step com…

[2025-06-04 Wed (UTC), 1 new article found for cs.DM Discrete Mathematics]
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Gender and Discipline Shape Length, Content and Tone of Grant Peer Review Reports
Stefan M\"uller, Gabriel Okasa, Michaela Strinzel, Anne Jorstad, Katrin Milzow, Matthias Egger
https://arxiv.org/abs/2507.00103

Gender and Discipline Shape Length, Content and Tone of Grant Peer Review Reports
Peer review by experts is central to the evaluation of grant proposals, but little is known about how gender and disciplinary differences shape the content and tone of grant peer review reports. We analyzed 39,280 review reports submitted to the Swiss National Science Foundation between 2016 and 2023, covering 11,385 proposals for project funding across 21 disciplines from the Social Sciences and Humanities (SSH), Life Sciences (LS), and Mathematics, Informatics, Natural Sciences, and Technolog…

In mathematics, we have a useful phrase I wish were more in general parlance: “necessary but not sufficient.”
This is not sufficient, but it is necessary. Call those Senators. They aren’t •completely• useless. https://mastodon.social/@indivisibleteam/114729468063702602

[2025-07-04 Fri (UTC), no new articles found for math.GM General Mathematics]
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[2025-06-05 Thu (UTC), 1 new article found for cs.DM Discrete Mathematics]
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Nine circles of elastic brittle fracture: A series of challenge problems to assess fracture models
Farhad Kamarei, Bo Zheng, John E. Dolbow, Oscar Lopez-Pamies
https://arxiv.org/abs/2507.00266

Nine circles of elastic brittle fracture: A series of challenge problems to assess fracture models
Since the turn of the millennium, capitalizing on modern advances in mathematics and computation, a slew of computational models have been proposed in the literature with the objective of describing the nucleation and propagation of fracture in materials subjected to mechanical, thermal, and/or other types of loads. By and large, each new proposal focuses on a particular aspect of the problem, while ignoring others that have been well-established. This approach has resulted in a plethora of mod…

SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry
Peijie Wang, Chao Yang, Zhong-Zhi Li, Fei Yin, Dekang Ran, Mi Tian, Zhilong Ji, Jinfeng Bai, Cheng-Lin Liu
https://arxiv.org/abs/2505.21177

SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry
Geometry is a fundamental branch of mathematics and plays a crucial role in evaluating the reasoning capabilities of multimodal large language models (MLLMs). However, existing multimodal mathematics benchmarks mainly focus on plane geometry and largely ignore solid geometry, which requires spatial reasoning and is more challenging than plane geometry. To address this critical gap, we introduce SolidGeo, the first large-scale benchmark specifically designed to evaluate the performance of MLLMs …

This https://arxiv.org/abs/1810.08277 has been replaced.
link: https://scholar.google.com/scholar?q=a

Quantum computing from a mathematical perspective: a description of the quantum circuit model
This paper is an essentially self-contained and rigorous description of the fundamental principles of quantum computing from a mathematical perspective. It is intended to help mathematicians who want to get a grasp of this quickly growing discipline and find themselves taken aback by the language gap between mathematics and the pioneering fields on the matter: computer science and quantum physics. A first version of this paper was originally published at arXiv in October 2018. Minor corrections…

This is such a good summary of "the problem with 'data science'", as it tries to replace any domain expertise with the misguided notion that some form of statistics.
And so you end up with (maybe even well-meaning) researchers that are so far in over their head that they don't even know what they don't know.
Case in point: the authors of the preprint come from mathematics, computer science, physics, and 'future studies' (lol)…
@…

This https://arxiv.org/abs/2505.18811 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An Anarchist Approach to the Undergraduate Mathematics Curriculum
Contemporary anarchism centers around three tenets: (1) a constant challenge of and resistance to all forms of domination, (2) so-called "prefigurative politics", in which all decisions are made in a manner that is consistent with a set of non-hierarchical values such as equality, decentralization and voluntary cooperation, (3) a focus on diversity and open-endedness (Gordon, 2008). Within this philosophy the notion of end goals becomes moot; progress, then, is measured by process, in which the…

Iterated jump noncomputability and compactness
Gavin Dooley
https://arxiv.org/abs/2506.20620 https://arxiv.org/pdf/2506.20620

Iterated jump noncomputability and compactness
We use reverse mathematics to analyze "iterated jump" versions of the following four principles: the atomic model theorem with subenumerable types (AST), the diagonally noncomputable principle (DNR), weak weak Kőnig's lemma (WWKL), and weak Kőnig's lemma (WKL). The logical relationships between these principles are summarized in Figure 1 and include, among other things, an infinite chain and an infinite antichain, the latter of which represents a strong form of non-linearity in terms of prova…

Emergent universal long-range structure in random-organizing systems
Satyam Anand, Guanming Zhang, Stefano Martiniani
https://arxiv.org/abs/2505.22933 http…

Emergent universal long-range structure in random-organizing systems
Self-organization through noisy interactions is ubiquitous across physics, mathematics, and machine learning, yet how long-range structure emerges from local noisy dynamics remains poorly understood. Here, we investigate three paradigmatic random-organizing particle systems drawn from distinct domains: models from soft matter physics (random organization, biased random organization) and machine learning (stochastic gradient descent), each characterized by distinct sources of noise. We discover …

This https://arxiv.org/abs/2011.04524 has been replaced.
link: https://scholar.google.com/scholar?q=a

The homology of permutation racks
Despite a blossoming of research activity on racks and their homology for over two decades, with a record of diverse applications to central parts of contemporary mathematics, there are still very few examples of racks whose homology has been fully calculated. In this paper, we compute the entire integral homology of all permutation racks. Our method of choice involves homotopical algebra, which was brought to bear on the homology of racks only recently. For our main result, we establish a spec…

The Ingleton inequality holds for metacyclic groups and fails for supersoluble groups
David A. Craven
https://arxiv.org/abs/2505.22565 https://

The Ingleton inequality holds for metacyclic groups and fails for supersoluble groups
The Ingleton inequality first appeared in matroid theory, where Ingleton proved in 1971 that every rank function coming from a representable matroid on four subsets satisfies a particular inequality. Because this inequality is not implied by submodularity, Shannon-type axioms alone, it and various analogues play a central role in separately linear and non-linear phenomena in a variety of areas of mathematics. The Ingleton inequality for finite groups concerns the various intersections of four s…

#SMBC on the final victory of the #humanities over #mathematics #engineering and

Replaced article(s) found for cs.DM. https://arxiv.org/list/cs.DM/new
[1/1]:
- The EnvDesign Model: A Method to Solve the Environment Design Problem
Akshay Sathiya, Rohit Pandey

Improving Rationality in the Reasoning Process of Language Models through Self-playing Game
Pinzheng Wang, Juntao Li, Zecheng Tang, Haijia Gui, Min zhang
https://arxiv.org/abs/2506.22920

Improving Rationality in the Reasoning Process of Language Models through Self-playing Game
Large language models (LLMs) have demonstrated considerable reasoning abilities in various tasks such as mathematics and coding. However, recent studies indicate that even the best models lack true comprehension of their reasoning processes. In this paper, we explore how self-play can enhance the rationality of models in the reasoning process without supervision from humans or superior models. We design a Critic-Discernment Game(CDG) in which a prover first provides a solution to a given proble…

Tropical Ptolemy Transformations and Invariants of Braids
Gurnoor Singh
https://arxiv.org/abs/2506.12085 https://arxiv.org/pdf/2506.1…

Tropical Ptolemy Transformations and Invariants of Braids
It often happens in mathematics that one and the same equation is known under different names in different areas of mathematics. The famous pentagon identity appears in low-dimensional topology in different ways. In this paper, we use the tropical version of the Ptolemy equation to construct invariants of braids.

The VIBE Framework: A Student-Centered Approach to Teaching Knot Theory in Secondary Mathematics
Ioannis Diamantis
https://arxiv.org/abs/2506.22886 https:/…

The VIBE Framework: A Student-Centered Approach to Teaching Knot Theory in Secondary Mathematics
Knot theory, a visual and intuitive branch of topology, offers a unique opportunity to introduce advanced mathematical thinking in secondary education. Despite its accessibility and cross-disciplinary relevance, it remains largely absent from standard curricula. This paper proposes the {\it VIBE framework}, a student-centered approach, structured around four pedagogical pillars: Visual, Inquiry-based, Braided (collaborative), and Embedded (contextualized) learning. Rooted in constructivist theo…

On preservation of relative resolutions for poset representations
Toshitaka Aoki, Shunsuke Tada
https://arxiv.org/abs/2506.21227 https://

On preservation of relative resolutions for poset representations
The concept of Galois connections (i.e., adjoint pairs between posets) is ubiquitous in mathematics. In representation theory, it is interesting because it naturally induces the adjoint quadruple between the categories of persistence modules (representations) of the posets via Kan extensions. One of central subjects in multiparameter persistent homology analysis is to understand structures of persistence modules. In this paper, we mainly study a class of Galois connections whose left adjoint is…

Automatic Large Language Models Creation of Interactive Learning Lessons
Jionghao Lin, Jiarui Rao, Yiyang Zhao, Yuting Wang, Ashish Gurung, Amanda Barany, Jaclyn Ocumpaugh, Ryan S. Baker, Kenneth R. Koedinger
https://arxiv.org/abs/2506.17356

Automatic Large Language Models Creation of Interactive Learning Lessons
We explore the automatic generation of interactive, scenario-based lessons designed to train novice human tutors who teach middle school mathematics online. Employing prompt engineering through a Retrieval-Augmented Generation approach with GPT-4o, we developed a system capable of creating structured tutor training lessons. Our study generated lessons in English for three key topics: Encouraging Students' Independence, Encouraging Help-Seeking Behavior, and Turning on Cameras, using a task deco…

The Low Mass Dwarf Host Galaxy of Non-Repeating FRB 20230708A
August R. Muller (Maria Mitchell Observatory, Max Planck Institute for Gravitational Physics), Alexa C. Gordon (Northwestern University), Stuart D. Ryder (Macquarie University), Alexandra G. Mannings (University of California Santa Cruz), J. Xavier Prochaska (University of California Santa Cruz, Kavli Institute for the Physics and Mathematics of the Universe, National Astronomical Observatory of Japan), Keith W. Bannister (C…

The Low Mass Dwarf Host Galaxy of Non-Repeating FRB 20230708A
We present Very Large Telescope/X-Shooter spectroscopy for the host galaxies of 12 fast radio bursts (FRBs) detected by the Australian SKA Pathfinder (ASKAP) observed through the ESO Large Programme "FURBY", which imposes strict selection criteria on the included FRBs and their host galaxies to produce a homogeneous and well-defined sample. We describe the data reduction and analysis of these spectra and report their redshifts, line-emission fluxes, and derived host properties. From the present…

Visualization enhances Problem Solving in Multi-Qubit Systems: An Eye-Tracking Study
Jonas Bley, Eva Rexigel, Alda Arias, Lars Krupp, Nikolas Longen, Paul Lukowicz, Stefan K\"uchemann, Jochen Kuhn, Maximilian Kiefer-Emmanouilidis, Artur Widera
https://arxiv.org/abs/2505.21508

Visualization enhances Problem Solving in Multi-Qubit Systems: An Eye-Tracking Study
Quantum Information Science (QIS) is a vast, diverse, and abstract field. In consequence, learners face many challenges. Science, Technology, Engineering, and Mathematics (STEM) education research has found that visualizations are valuable to aid learners in complex matters. The conditions under which visualizations pose benefits are largely unexplored in QIS education. In this eye-tracking study, we examine the conditions under which the visualization of multi-qubit systems in addition to the …

[2025-06-03 Tue (UTC), 6 new articles found for math.GM General Mathematics]
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This https://arxiv.org/abs/2306.17541 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csMS_…

Rigorous Function Calculi in Ariadne
Almost all problems in applied mathematics, including the analysis of dynamical systems, deal with spaces of real-valued functions on Euclidean domains in their formulation and solution. In this paper, we describe the the tool Ariadne, which provides a rigorous calculus for working with Euclidean functions. We first introduce the Ariadne framework, which is based on a clean separation of objects as providing exact, effective, validated and approximate information. We then discuss the function c…

Properties and Expressivity of Linear Geometric Centralities
Paolo Boldi, Flavio Furia, Chiara Prezioso
https://arxiv.org/abs/2506.19670 https://

Properties and Expressivity of Linear Geometric Centralities
Centrality indices are used to rank the nodes of a graph by importance: this is a common need in many concrete situations (social networks, citation networks, web graphs, for instance) and it was discussed many times in sociology, psychology, mathematics and computer science, giving rise to a whole zoo of definitions of centrality. Although they differ widely in nature, many centrality measures are based on shortest-path distances: such centralities are often referred to as geometric. Geometric…

This https://arxiv.org/abs/2408.12002 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Electrostatic Origins of the Dirichlet Principle
The Dirichlet Principle is an approach to solving the Dirichlet problem by means of a Dirichlet energy integral. It is part of the folklore of mathematics that the genesis of this argument was motivated by physical analogy involving electrostatic fields. The story goes something like this: If an electrostatic potential is prescribed on the boundary of a region, it will extend to a potential in the interior of the region which is harmonic when the electric field is in stable equilibrium, and tha…

[2025-07-03 Thu (UTC), 2 new articles found for cs.DM Discrete Mathematics]
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Eigenvalue spectrum support of paired random matrices with pseudo-inverse
Uri Cohen
https://arxiv.org/abs/2506.21244 https://arxiv.or…

Eigenvalue spectrum support of paired random matrices with pseudo-inverse
The Moore-Penrose pseudo-inverse $X^\dagger$, defined for rectangular matrices, naturally emerges in many areas of mathematics and science. For a pair of rectangular matrices $X, Y$ where the corresponding entries are jointly Gaussian and i.i.d., we analyse the support of the eigenvalue spectrum of $XY^\dagger$.

Introduction to the Cohomology of the Flag Variety
Sara C. Billey, Yibo Gao, Brendan Pawlowski
https://arxiv.org/abs/2506.21064 https://

Introduction to the Cohomology of the Flag Variety
One hundred years ago, Hilbert gave a list of important open problems in mathematics. His 15th problem asked for the development of a rigorous calculus explaining Schubert's enumerative results for intersecting varieties defined by rank conditions on vector spaces. Today by way of many contributions in algebraic topology, geometry, and combinatorics, we consider this solved. Yet, deep questions remain about the subtleties of actually carrying out the process. In this chapter, we hope to summari…

[2025-07-03 Thu (UTC), no new articles found for math.GM General Mathematics]
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[2025-06-03 Tue (UTC), 3 new articles found for cs.DM Discrete Mathematics]
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The Unreasonable Effectiveness of Mathematical Experiments: What Makes Mathematics Work
Asvin G
https://arxiv.org/abs/2506.19787 https://

The Unreasonable Effectiveness of Mathematical Experiments: What Makes Mathematics Work
This essay proposes a reconceptualization of mathematics as an experimental science exploring patterns in computation and what the advent of AI-assited provers might imply in light of this reconceptualization. Beginning with Voevodsky's crisis of confidence, where a major result remained in limbo for 24 years, neither proven nor refuted, we argue that mathematics is not the discovery of eternal truths but theory-building in response to computational experiments. Just as physicists build theorie…

Properties of zero-determinant strategies in multichannel games
Masahiko Ueda
https://arxiv.org/abs/2505.21952 https://arxiv.org/pdf/…

Properties of zero-determinant strategies in multichannel games
Controlling payoffs in repeated games is one of the important topics in control theory of multi-agent systems. Recently proposed zero-determinant strategies enable players to unilaterally enforce linear relations between payoffs. Furthermore, based on the mathematics of zero-determinant strategies, regional payoff control, in which payoffs are enforced into some feasible regions, has been discovered in social dilemma situations. More recently, theory of payoff control was extended to multichann…

Replaced article(s) found for cs.DM. https://arxiv.org/list/cs.DM/new
[1/1]:
- Distribution of codewords on the faces of a hypercube and new combinatorial identities
Jamolidin K. Abdurakhmanov

Replaced article(s) found for math.GM. https://arxiv.org/list/math.GM/new
[1/1]:
- Conjecture: the set of prime numbers is supernatural
Arnaud Mayeux

Controlling Casimir Effect in Networks
Tian-Ming Zhao, Rong-Xin Miao
https://arxiv.org/abs/2506.20405 https://arxiv.org/pdf/2506.2040…

Controlling Casimir Effect in Networks
Networks have played a pivotal role in physics, mathematics, and biology, propelling the recent revolution in artificial intelligence. This paper studies quantum field theories on networks and proposes a novel junction condition on the node. The junction condition is consistent with energy conservation in the sense that the total energy flow into the node is zero. As an application, we explore the Casimir effect on networks. Remarkably, the Casimir force on one edge can be changed from attracti…

Teaching Mathematics for Economists
Eric Hillebrand
https://arxiv.org/abs/2505.22671 https://arxiv.org/pdf/2505.22671

Teaching Mathematics for Economists
In this chapter, I discuss teaching mathematical tools specifically tailored for economics students. A typical one-semester course in this area seeks to blend a range of topics: from foundational elements of subjects such as linear algebra and multivariate calculus to intermediate areas like real and convex analysis and further into advanced topics such as dynamic optimization in both continuous and discrete time. This breadth of coverage corresponds to material usually spread across multiple y…

Revisiting Chain-of-Thought Prompting: Zero-shot Can Be Stronger than Few-shot
Xiang Cheng, Chengyan Pan, Minjun Zhao, Deyang Li, Fangchao Liu, Xinyu Zhang, Xiao Zhang, Yong Liu
https://arxiv.org/abs/2506.14641

Revisiting Chain-of-Thought Prompting: Zero-shot Can Be Stronger than Few-shot
In-Context Learning (ICL) is an essential emergent ability of Large Language Models (LLMs), and recent studies introduce Chain-of-Thought (CoT) to exemplars of ICL to enhance the reasoning capability, especially in mathematics tasks. However, given the continuous advancement of model capabilities, it remains unclear whether CoT exemplars still benefit recent, stronger models in such tasks. Through systematic experiments, we find that for recent strong models such as the Qwen2.5 series, adding t…

Closed-Form Decomposition for Simplicial Cones and PDBarv Algorithm for Lattice Point Counting
Sihao Tao, Guoce Xin, Zihao Zhang
https://arxiv.org/abs/2506.19322

Closed-Form Decomposition for Simplicial Cones and PDBarv Algorithm for Lattice Point Counting
Counting lattice points within a rational polytope is a foundational problem with applications across mathematics and computer science. A key approach is Barvinok's algorithm, which decomposes the lattice point generating function of cones to that of unimodular cones. However, standard implementations face difficulties: the original primal method struggles with points on cone boundaries, while the alternative dual method can be slow for certain cone types. This paper introduces two main contr…

[2025-07-02 Wed (UTC), 5 new articles found for cs.DM Discrete Mathematics]
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This https://arxiv.org/abs/2505.21177 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCG_…

SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry
Geometry is a fundamental branch of mathematics and plays a crucial role in evaluating the reasoning capabilities of multimodal large language models (MLLMs). However, existing multimodal mathematics benchmarks mainly focus on plane geometry and largely ignore solid geometry, which requires spatial reasoning and is more challenging than plane geometry. To address this critical gap, we introduce SolidGeo, the first large-scale benchmark specifically designed to evaluate the performance of MLLMs …

[2025-07-02 Wed (UTC), 8 new articles found for math.GM General Mathematics]
toXiv_bot_toot

A bibliometric study on mathematical oncology: interdisciplinarity, internationality, collaboration and trending topics
Kira Pugh, Linn\'ea Gyllingberg, Stanislav Stratiev, Sara Hamis
https://arxiv.org/abs/2506.20684

A bibliometric study on mathematical oncology: interdisciplinarity, internationality, collaboration and trending topics
Mathematical oncology is an interdisciplinary research field where mathematics meets cancer research. The field's intention to study cancer makes it dynamic, as practicing researchers are incentivised to quickly adapt to both technical and medical research advances. Determining the scope of mathematical oncology is therefore not straightforward; however, it is important for purposes related to funding allocation, education, scientific communication, and community organisation. To address this i…

[2025-06-02 Mon (UTC), 2 new articles found for cs.DM Discrete Mathematics]
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[2025-06-02 Mon (UTC), no new articles found for math.GM General Mathematics]
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Replaced article(s) found for cs.DM. https://arxiv.org/list/cs.DM/new
[1/1]:
- The Fagnano Triangle Patrolling Problem
Konstantinos Georgiou, Somnath Kundu, Pawel Pralat

Replaced article(s) found for math.GM. https://arxiv.org/list/math.GM/new
[1/1]:
- Something about Inter-universal Teichmuller Theory
Mikael Sarkisyan

An Anarchist Approach to the Undergraduate Mathematics Curriculum
Asia Matthews, Vincent Bouchard
https://arxiv.org/abs/2505.18811 https://

An Anarchist Approach to the Undergraduate Mathematics Curriculum
Contemporary anarchism centers around three tenets: (1) a constant challenge of and resistance to all forms of domination, (2) so-called "prefigurative politics", in which all decisions are made in a manner that is consistent with a set of non-hierarchical values such as equality, decentralization and voluntary cooperation, (3) a focus on diversity and open-endedness (Gordon, 2008). Within this philosophy the notion of end goals becomes moot; progress, then, is measured by process, in which the…

Replaced article(s) found for cs.DM. https://arxiv.org/list/cs.DM/new
[1/1]:
- On the rigidity of Arnoux-Rauzy words
Val\'erie Berth\'e, Svetlana Puzynina

[2025-07-01 Tue (UTC), 2 new articles found for cs.DM Discrete Mathematics]
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[2025-07-01 Tue (UTC), 1 new article found for math.GM General Mathematics]
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Eulers Horizonte -- M\"oglichkeiten und Grenzen seiner Arbeitsweise in der Mathematik
Alexander Aycock
https://arxiv.org/abs/2505.23286 https://

Eulers Horizonte -- Möglichkeiten und Grenzen seiner Arbeitsweise in der Mathematik
A Thesis about Euler discussing the possibilities and limits of his method of work in Mathematics.

[2025-06-30 Mon (UTC), no new articles found for cs.DM Discrete Mathematics]
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[2025-06-30 Mon (UTC), no new articles found for math.GM General Mathematics]
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Material did\'actico de L\'ogica Proposicional para Estructuras Discretas
Margarita Carrera Fournier
https://arxiv.org/abs/2505.13459 https://

Material didáctico de Lógica Proposicional para Estructuras Discretas
One of the most difficult topics in the subject of Discrete Mathematics is the subject of Propositional Logic, therefore the present work had as objective to facilitate the learning of Propositional Logic through the implementation of didactic material with the use of educational technology that contributes to the achievement of the objectives established in the syllabus of the subject of Discrete Mathematics, because the knowledge that it provides to Computer Engineers is essential for their p…

[2025-05-30 Fri (UTC), 3 new articles found for cs.DM Discrete Mathematics]
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[2025-05-30 Fri (UTC), 7 new articles found for math.GM General Mathematics]
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Replaced article(s) found for cs.DM. https://arxiv.org/list/cs.DM/new
[1/1]:
- A Row-wise Algorithm for Graph Realization
Rolf van der Hulst, Matthias Walter

Replaced article(s) found for math.GM. https://arxiv.org/list/math.GM/new
[1/1]:
- P-adic integrals: A solution to the p-adic Schrodinger Equation
Haonan Gu

Replaced article(s) found for cs.DM. https://arxiv.org/list/cs.DM/new
[1/1]:
- Local Search Improvements for Soft Happy Colouring
Mohammad Hadi Shekarriz, Dhananjay Thiruvady, Asef Nazari, Wilfried Imrich

Can we "seamlessly" divide a polygon?
Byungchang So
https://arxiv.org/abs/2506.11742 https://arxiv.org/pdf/2506.11742

Can we "seamlessly" divide a polygon?
While the contents of Euclid's Elements are well-known these days, some characters of the original text have been overlooked due to interpretation by modern mathematical languages. The lens of modern mathematics once anachronistically misled researchers of the history of mathematics, and this shows that the classic text itself contains ideas that have not been completely accurately translated. This article concentrates on the division of geometric figures(line, polygon, polyhedron, etc.). In mo…

[2025-05-29 Thu (UTC), no new articles found for cs.DM Discrete Mathematics]
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[2025-05-29 Thu (UTC), no new articles found for math.GM General Mathematics]
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Replaced article(s) found for cs.DM. https://arxiv.org/list/cs.DM/new
[1/1]:
- On solving basic equations over the semiring of functional digraphs
Alberto Dennunzio, Enrico Formenti, Luciano Margara, Sara Riva

Replaced article(s) found for math.GM. https://arxiv.org/list/math.GM/new
[1/1]:
- Efficient application of the Voigt functions in the Fourier transform
Sanjar M. Abrarov, Rehan Siddiqui, Rajinder K. Jagpal, Brendan M. Quine

[2025-06-27 Fri (UTC), 2 new articles found for cs.DM Discrete Mathematics]
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[2025-05-28 Wed (UTC), no new articles found for cs.DM Discrete Mathematics]
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[2025-05-28 Wed (UTC), no new articles found for math.GM General Mathematics]
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[2025-06-27 Fri (UTC), no new articles found for math.GM General Mathematics]
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Replaced article(s) found for cs.DM. https://arxiv.org/list/cs.DM/new
[1/1]:
- Computation of Immediate Neighbours of Monotone Boolean Functions
Jos\'e E. R. Cury, Patr\'icia Tenera Roxo, Vasco Manquinho, Claudine Chaouiya, Pedro T. Monteiro

Replaced article(s) found for math.GM. https://arxiv.org/list/math.GM/new
[1/1]:
- The Collatz Conjecture & Non-Archimedean Spectral Theory -- Part II -- $\left(p,q\right)$-Adic Fo...
Maxwell C. Siegel

[2025-06-26 Thu (UTC), 1 new article found for cs.DM Discrete Mathematics]
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[2025-05-27 Tue (UTC), 1 new article found for math.GM General Mathematics]
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[2025-06-25 Wed (UTC), 2 new articles found for cs.DM Discrete Mathematics]
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[2025-06-26 Thu (UTC), 2 new articles found for math.GM General Mathematics]
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Replaced article(s) found for math.GM. https://arxiv.org/list/math.GM/new
[1/1]:
- The characterizations of monotone functions which generate associative functions
Chen Meng, Yun-Mao Zhang, Xue-ping Wang

[2025-06-25 Wed (UTC), 2 new articles found for math.GM General Mathematics]
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[2025-05-26 Mon (UTC), no new articles found for math.GM General Mathematics]
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Replaced article(s) found for cs.DM. https://arxiv.org/list/cs.DM/new
[1/1]:
On the Uncrossed Number of Graphs
https://arxiv.or…