Our Work

Time-stamped snapshots of live match state (net worth advantage, kill differential, item purchases) from 97,357 professional Dota 2 matches spanning December 2022 to May 2026 (patches 7.32-7.41), sour…

Time-stamped snapshots of live match state (net worth advantage, kill differential, item purchases) from 97,357 professional Dota 2 matches spanning December 2022 to May 2026 (patches 7.32-7.41), sourced from the OpenDota public API. Each row represents a (match, minute) snapshot at intervals of 10, 12, 15, 17, 20, 21, 22, 23, 25, 27, 30, 35, 40, and 45 minutes, totaling 1,027,286 snapshots with 384 columns including the binary match outcome, hero draft identifiers, economic features, and item presence indicators. This dataset supports the ablation-study analysis presented in "From Draft to Items: Ablating Live Match Prediction Signals in Professional Dota 2," submitted to Entertainment Computing (Elsevier).

This final document establishes the geometric limit of the Alekzanderian Framework. We define the Omniverse not merely as ”infinite,” but as the mathematical square of infinity (&infi…

This final document establishes the geometric limit of the Alekzanderian Framework. We define the Omniverse not merely as ”infinite,” but as the mathematical square of infinity (∞2). We demonstrate that the separation between the ”Here” (Spatial Plane) and the ”There” (Omniversal Plane) is bridged by the transmission of Truth, resulting in a species-wide phase transition into Absolute Clarity

Abstract: Indian judiciary primarily the Supreme Court and the High Courts has been a remarkably active force in environmental governance. Its interventions include relaxing the procedural doctrine of…

Abstract: Indian judiciary primarily the Supreme Court and the High Courts has been a remarkably active force in environmental governance. Its interventions include relaxing the procedural doctrine of locus standi, expanding the scope and accessibility of Public Interest Litigation (PIL), incorporating international environmental principles (the polluter pays principle, the precautionary principle, and the public trust doctrine) into domestic jurisprudence, recognising the right to a clean environment as a fundamental right under Article 21 of the Constitution, and creating institutional structures such as green benches. This paper offers a comprehensive analysis of the procedural and substantive dimensions of judicial intervention in environmental matters. It addresses three central questions: why and how does the Indian judiciary intervene in environmental disputes? What has been the nature and extent of its contributions to environmental jurisprudence? And to what extent have its interventions succeeded in delivering environmental justice? The arguments are grounded in a qualitative doctrinal analysis of landmark Supreme Court and High Court judgments and a review of relevant secondary literature.

Practical Exercises in Scientific Computing / Travaux pratiques de calcul scientifique Educational softwares written in a high-level language: the open-source software GNU Octave [Copyright 2005 John…

Practical Exercises in Scientific Computing / Travaux pratiques de calcul scientifique Educational softwares written in a high-level language: the open-source software GNU Octave [Copyright 2005 John W. Eaton], versions 2.1.70 and 2.1.71.  Please note: The following files with the ‘*.tar’ extension contain the lab assignments, a small library of programs, and, in principle, a work statement and a ‘readme’ file.  You must first unpack the file using the command “tar xvf file.tar” after it has been uploaded. The sequel to this document is in French. Logiciels pédagogiques écrits dans un langage de haut niveau, le logiciel libre Octave [Copyright 2005 John W. Eaton] dans les versions 2.1.70 et 2.1.71.  Attention. Les fichiers de la forme '*.tar' qui suivent contiennent les énoncés des travaux pratiques, une petite bibliothèque de programmes avec, en principe, un énoncé de travail à faire et un 'readme'. Il faut au préalable 'détarer' le fichier, avec la commande 'tar xvf fichier.tar' après le chargement. 01   Intégration numérique02   Interpolation de Lagrange et phénomène de Runge03   Fonctions de base dans des triangles pour les degrés 1 et 204   Interpolation de Hermite et splines cubiques05   Algorithme de de Casteljau pour le calcul des courbes de Bézier06   Algorithme de Newton07   Minimisation et algorithme de Newton08   Minimisation sans contrainte09   Optimisation sans contrainte a une et deux variables10   Minimisation pour un central telephonique11   Optimisation avec contraintes à deux variables12   Approximation par moindres carrés13   Calcul numérique de l'équilibre d'un fil pesant14   Projection sur quelques courbes planes15   Algorithme de Uzawa16   Schémas numériques pour les équations différentielles ordinaires17   Etude numérique de l'oscillateur de Van des Pol 18   Problème inverse pour un oscillateur harmonique19   Schémas numériques décentrés pour l'équation d'advection20   Equation des ondes à une dimension21   Schéma "HaWAY" pour l'équation des ondes22   Equation de la chaleur à une dimension spatiale23   Autour du Laplacien discret à une dimension d'espace24   Minimisation pour un problème de Neumann25   Algorithme du gradient conjugué

Bullying remains a significant concern in elementary schools due to its negative effects on learners' academic performance and well-being. This study examined the extent of bullying and its relationsh…

Bullying remains a significant concern in elementary schools due to its negative effects on learners' academic performance and well-being. This study examined the extent of bullying and its relationship with the academic performance of Grade 1 learners in the District of San Sebastian, Schools Division of Samar. A descriptive-correlational research design was employed, using a validated questionnaire, with data analyzed using descriptive statistics, t-tests, and correlation analyses. The findings revealed that most learners came from low-income households, with 72.35 percent of families earning below ₱5,000 per month. Bullying was generally experienced to a low to moderate extent, although significant differences existed between teachers' and students' perceptions, particularly regarding physical bullying behaviors. These findings suggest that some bullying incidents may not be readily recognized by teachers, highlighting the need for improved awareness and reporting. The study concludes that strengthening school-based anti-bullying programs, enhancing teacher awareness, and promoting collaboration among schools, parents, and the community are essential to creating a safe and supportive learning environment for young learners.

Added two new versions of GEMV kernel

At what rate do individuals say they are X? Begining on 2025-07-08, I surveyed a small random sample of American adults on a daily cadence.  They responded to many items of the form: Does <sig…

At what rate do individuals say they are X? Begining on 2025-07-08, I surveyed a small random sample of American adults on a daily cadence.  They responded to many items of the form: Does <signifier> describe you today? The file ipseity-daily-aggregated.csv in this repository contains the aggregated results through 2025-07-28.  The columns are as follows: signifier - a word, phrase or emoji yes_count - the number of respondents who answered yes (aggregated all-time). no_count - the number of respondents who answered no (aggregated all-time). prevalence_per_10k - an estimate of the prevalence per 10,000.  If we were to survey 10,000 American adults, how many would we expect to respond yes to this signifier?  The number is calculated as yes_count / (yes_count + no_count) * 10,000. earliest_obs_date - this date represents the first time this particular signifier was ever displayed to a respondent.  Signifiers are chosen with stochasticity from a long list; new signifiers are sometimes added, old signifiers are sometimes deleted, and a signifier may be moved higher or lower in priority for sampling. latest_obs_date - the date closest to the present date on which signifier was most recently presented to a respondent. Version created on 2026-06-24 — cumulative data. Version created on 2026-06-25 - cumulative data. Version created on 2026-06-26 - cumulative data. Version created on 2026-06-27 - cumulative data. Version created on 2026-06-28 - cumulative data. Version created on 2026-06-29 - cumulative data. Version created on 2026-06-30 - cumulative data. Version created on 2026-07-01 - cumulative data. Version created on 2026-07-02 - cumulative data. Version created on 2026-07-03 - cumulative data. Version created on 2026-07-04 - cumulative data. Version created on 2026-07-05 - cumulative data. Version created on 2026-07-06 - cumulative data. Version created on 2026-07-07 - cumulative data. Version created on 2026-07-08 - cumulative data. Version created on 2026-07-09 - cumulative data. Version created on 2026-07-10 - cumulative data. Version created on 2026-07-11 - cumulative data. Version created on 2026-07-12 - cumulative data. Version created on 2026-07-13 - cumulative data. Version created on 2026-07-14 - cumulative data. Version created on 2026-07-15 - cumulative data. Version created on 2026-07-16 - cumulative data. Version created on 2026-07-17 - cumulative data. Version created on 2026-07-18 - cumulative data. Version created on 2026-07-19 - cumulative data. Version created on 2026-07-20 - cumulative data. Version created on 2026-07-21 - cumulative data. Version created on 2026-07-22 - cumulative data. Version created on 2026-07-23 - cumulative data. Version created on 2026-07-24 - cumulative data. Version created on 2026-07-25 - cumulative data. Version created on 2026-07-26 - cumulative data.