Science and research

Papers, formal maths and research tools, explained with links to the original work.

Science and researchPDFTranslationReading

Selected PDF page translation: scope and source checks

Source references, excerpts and block-level translation for selected PDF page content, with checks for scan preparation and layout.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchPDFExtractionResearch

Two-column PDF reading order: extraction and review

A review workflow for mixed columns, captions, footnotes and page boundaries, with position-aware extraction and source comparisons.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchPDFOCRSearch

Searching scanned PDFs: OCR text and source-checked matches

Searchable PDF layers and saved OCR text, known-phrase checks, negative-result limits and the source references needed for later reading.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchPDFMarkdownNotes

PDF highlights to Markdown: quotations, notes and sources

Three export routes for PDF highlights (PyMuPDF for embedded annotations, Zotero notes, Oyren manual notes) and one Markdown note structure with checked quotations and page references.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researcharXivResearch papersReading

An arXiv reading workflow with an evidence trail

An arXiv reading workflow: one research question, versioned identifiers, an explained API query, passage-level evidence notes and a synthesis that keeps disagreements visible.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchPDFOCRTroubleshooting

PDF text selection not working: a diagnostic workflow

Four causes of failed PDF text selection, told apart with pdffonts and pdftotext: viewer tool mode, image-only pages, missing Unicode maps and multi-column reading order.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchReproducibilityCloud environmentsResearch

Reproducible research environments in the cloud

A practical record for cloud research: code revision, environment recipe, input identity, execution steps and a fresh rerun with saved evidence.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchAILiterature reviewResearch

AI literature review: useful tasks and honest limits

A source-based workflow for AI-assisted literature reading, with separate checks for search coverage, citation accuracy and evidence support.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchTranslationPDFResearch Papers

How to Translate a Research Paper PDF and Keep the Formulas

How layout-preserving PDF translation works, how its quality is measured, where it fails on formulas, terms and references, and a workflow that catches it.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchLaTeXResearch notesMathematics

LaTeX in research notes: equations with context

A practical structure for research notes with LaTeX equations, symbol definitions, assumptions, source references and a clear verification status.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchPDFTranslationReading

Bilingual PDF reading: source and translation side by side

Bilingual PDF reading layouts, terminology notes, scan checks and a practical comparison of original passages with translated copies.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchOCRPDFBenchmarks

OCR for Scientific PDFs with Equations: 2026 Benchmarks

Nougat, Marker, olmOCR, MinerU, PaddleOCR-VL and general VLMs compared on equations, tables and two-column papers, with olmOCR-Bench and OmniDocBench scores.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchMathlibLean 4Open source

How to contribute to mathlib: a first pull request

A first mathlib pull request from fork and branch to lake build, naming conventions, PR titles, labels and the AI disclosure policy.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchPDFAnnotationNotes

Browser PDF annotation: highlights, notes and saved copies

Where browser PDF marks are stored, a one-minute save-and-reopen test, notes that explain each mark, and which marks work on scanned pages.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchLean 4Formal ProofsAI Provers

AI Theorem Proving in Lean 4: Where It Stands in 2026

Sourced results from AlphaProof, Seed-Prover, Aristotle and PutnamBench, Mathlib in numbers, and how a working mathematician can start with Lean 4.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchLean 4Formal proofsLearning

Lean 4 for beginners: a first checked proof

A practical introduction to Lean 4 statements, hypotheses, goals and incomplete proofs, with small examples and a learning workflow.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchPDFMarkdownLLMs

PDF to Markdown for LLMs: a checked conversion workflow

PDF to Markdown with PyMuPDF4LLM or Docling, a sample review for reading order, tables, formulas and figures, and context blocks that keep document IDs and page numbers.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchLiterature reviewResearch notesEvidence

A research paper evidence matrix with source links

A practical evidence matrix for exploratory reading, with source passages, research conditions, checked interpretations and unresolved comparisons.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchPDFTablesResearch

PDF table extraction: cells, headers and source checks

Table extraction routes for text PDFs and scans, with checks for headers, units, empty cells, footnotes and multi-page tables.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchPDFEquationsResearch

PDF equation extraction: a validation workflow

A source-based check for extracted equations, covering reading order, indices, operators, assumptions, editable TeX and verification status.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchPDFOCRTranslation

Scanned PDF translation: OCR and layout checks

A practical workflow for scanned PDF translation: source checks, OCR, terminology, layout review and a separate saved copy.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchJupyterReproducibilityResearch

Reproducing Jupyter notebook results from a fresh run

A notebook rerun procedure with a recorded kernel, environment, input identity, execution command and explicit output comparison.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researcharXivCitationsResearch

How to cite arXiv preprints and their versions

How to cite an arXiv paper with its identifier, version and DOI, write a complete BibTeX entry, and choose between the preprint and the published version.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchLean 4Proof tacticsMathematics

Lean 4 tactics: when rfl, simp and exact fit

Small Lean 4 examples explain definitional equality, available evidence and simplification, with a routine for reading the current proof goal.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchSymbolic mathNumerical methodsResearch notes

Symbolic vs numerical math: a research note guide

The difference between symbolic expressions, exact arithmetic, numerical evaluation, equation rendering and formal proof in research notes.

October 16, 2026 · Oyren AI Team (AI-written)

Science and researchLean 4Coding AgentsProduct

Lean 4 and mathlib in Cloud VS Code

A Codespace with the Lean 4 + Mathlib add-on: browser VS Code with the toolchain, the Mathlib cache and the infoview installed, and coding agents that draft proofs for Lean to check.

August 9, 2026 · Oyren AI Team (AI-written)