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Research

Scientific computing and academic tools.

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astronomy-physics
9

xarray

N-dimensional labeled arrays and datasets in Python. Built on top of NumPy and Dask. It introduces labels in the form of dimensions, coordinates, and attributes on top of raw NumPy-like arrays, making data analysis in physical sciences more intuitive and less error-prone. Use for working with multi-dimensional scientific data, NetCDF/GRIB/Zarr files, climate/weather/oceanographic datasets, remote sensing, geospatial imaging, large out-of-memory datasets with Dask, and labeled array operations.

tondevrel
tondevrel
research
open
astronomy-physics
9

formulate-maxwell-equations

Work with the full set of Maxwell's equations in integral and differential form to analyze electromagnetic fields, waves, and energy transport. Use when applying Gauss's law, Faraday's law, or the Ampere-Maxwell law to boundary value problems, deriving the electromagnetic wave equation, computing Poynting vector and radiation pressure, solving for fields at material interfaces, or connecting electrostatics and magnetostatics to the unified electromagnetic framework.

pjt222
pjt222
research
open
astronomy-physics
9

formulate-maxwell-equations

Work with the full set of Maxwell's equations in integral and differential form to analyze electromagnetic fields, waves, and energy transport. Use when applying Gauss's law, Faraday's law, or the Ampere-Maxwell law to boundary value problems, deriving the electromagnetic wave equation, computing Poynting vector and radiation pressure, solving for fields at material interfaces, or connecting electrostatics and magnetostatics to the unified electromagnetic framework.

pjt222
pjt222
research
open
astronomy-physics
9

prove-geometric-theorem

幾何学的定理を系統的に証明する。合同・相似による証明、座標幾何学による証明、 ベクトルを用いた証明、変換（回転・平行移動・鏡映）による証明、および背理法を 含む。証明の構造化、補助線の追加戦略、証明の検証方法を扱う。

pjt222
pjt222
research
open
astronomy-physics
9

pydicom

Python package for working with DICOM files. It allows you to read, modify, and write DICOM data in a Pythonic way. Essential for medical imaging processing, clinical data extraction, and AI in radiology.

tondevrel
tondevrel
research
open
astronomy-physics
9

scikit-image

A collection of algorithms for image processing in Python. Built on NumPy, SciPy, and Cython. It focuses on scientific image analysis including segmentation, geometric transformations, color space manipulation, analysis, and filtering.

tondevrel
tondevrel
research
open
astronomy-physics
9

rasterio

Raster geospatial data processing — the Python interface to GDAL for satellite imagery, elevation models, and grid-based geographic analysis. Rasterio reads and writes georeferenced raster formats (GeoTIFF, NetCDF, JP2, PNG, JPEG2000), handles Coordinate Reference Systems (CRS) and reprojection, performs band math (NDVI, NDWI, EVI), clips/masks rasters with vector geometries, resamples grids, and supports memory-efficient windowed I/O for multi-gigabyte files. Use when: working with satellite imagery or aerial photos, processing Digital Elevation Models (DEM/DTM/DSM), computing spectral indices from multispectral data, clipping raster data to polygon boundaries, reprojecting between coordinate systems, performing spatial interpolation on gridded data, analyzing land cover or land use change over time, integrating raster data with vector data (geopandas/shapely), or any task involving georeferenced grid/pixel data as opposed to vector points/lines/polygons.

tondevrel
tondevrel
research
open
astronomy-physics
9

document-insect-sighting

Insektensichtungen mit Standort, Datum, Lebensraum, Fotografie, Verhaltensnotizen, vorlaeufiger Bestimmung und Citizen-Science-Meldung erfassen. Umfasst GPS-Koordinaten, Wetterbedingungen, Mikrohabitatbeschreibung, Makrofotografie-Techniken, Verhaltensbeobachtungen, vorlaeufige Bestimmung bis zur Ordnung anhand des Koerperbaus und Meldung an Citizen-Science- Plattformen wie iNaturalist. Verwenden beim Dokumentieren eines angetroffenen Insekts, beim Beitragen zu Citizen-Science-Biodiversitaetsdatenbanken, beim Fuehren eines persoenlichen Beobachtungstagebuchs oder beim Unterstuetzen oekologischer Erhebungen mit georeferenzierten fotografischen Aufzeichnungen.

pjt222
pjt222
research
open
astronomy-physics
9

formulate-maxwell-equations

Work with the full set of Maxwell's equations in integral and differential form to analyze electromagnetic fields, waves, and energy transport. Use when applying Gauss's law, Faraday's law, or the Ampere-Maxwell law to boundary value problems, deriving the electromagnetic wave equation, computing Poynting vector and radiation pressure, solving for fields at material interfaces, or connecting electrostatics and magnetostatics to the unified electromagnetic framework.

pjt222
pjt222
research
open
astronomy-physics
9

analyze-magnetic-field

Calculate and visualize magnetic fields produced by current distributions using the Biot-Savart law, Ampere's law, and magnetic dipole approximations. Use when computing B-fields from arbitrary current geometries, exploiting symmetry with Ampere's law, analyzing superposition of multiple sources, or characterizing magnetic materials through permeability, B-H curves, and hysteresis behavior.

pjt222
pjt222
research
open
astronomy-physics
9

apply-gematria

Compute and analyze gematria (Hebrew numerical values) using standard, ordinal, and reduced methods. Covers word-to-number conversion, isopsephy comparisons, and interpretive frameworks. Use when computing the numerical value of a Hebrew word or phrase, comparing two words for shared gematria values, studying a biblical verse or divine name for numerical correspondences, or connecting a numerical result to its position on the Tree of Life.

pjt222
pjt222
research
open
astronomy-physics
9

analyze-magnetic-field

使用毕奥-萨伐尔定律、安培定律和磁偶极子近似来计算和可视化电流分布产生的磁场。 适用于计算任意电流几何结构的 B 场、利用安培定律的对称性、分析多源叠加， 或通过磁导率、B-H 曲线和磁滞行为来表征磁性材料时。

pjt222
pjt222
research
open
astronomy-physics
9

solve-trigonometric-problem

系统求解三角学问题：三角方程、三角形求解（正弦定理、余弦定理）、 恒等式证明和实际应用。涵盖角度转换、周期性分析、多解处理 和结果验证。

pjt222
pjt222
research
open
astronomy-physics
9

analyze-magnetic-field

Calculate and visualize magnetic fields produced by current distributions using the Biot-Savart law, Ampere's law, and magnetic dipole approximations. Use when computing B-fields from arbitrary current geometries, exploiting symmetry with Ampere's law, analyzing superposition of multiple sources, or characterizing magnetic materials through permeability, B-H curves, and hysteresis behavior.

pjt222
pjt222
research
open
astronomy-physics
9

analyze-magnetic-field

Calcular y visualizar campos magnéticos producidos por distribuciones de corriente usando la ley de Biot-Savart, la ley de Ampère y aproximaciones de dipolo magnético. Usar al calcular campos B de geometrías de corriente arbitrarias, al explotar simetría con la ley de Ampère, al analizar superposición de múltiples fuentes, o al caracterizar materiales magnéticos mediante permeabilidad, curvas B-H y comportamiento de histéresis.

pjt222
pjt222
research
open
astronomy-physics
9

formulate-maxwell-equations

積分形式と微分形式のマクスウェル方程式の完全なセットを使用して電磁場、波動、 エネルギー輸送を解析する。ガウスの法則、ファラデーの法則、またはアンペール- マクスウェルの法則を境界値問題に適用する時、電磁波動方程式を導出する時、 ポインティングベクトルと放射圧を計算する時、材料界面での場を求める時、または 静電気学と静磁気学を統一電磁気学的枠組みに接続する時に使用する。

pjt222
pjt222
research
open
astronomy-physics
9

apply-gematria

Gematria (hebraeische Zahlenwerte) mit Standard-, Ordinal- und reduzierten Methoden berechnen und analysieren. Umfasst Wort-zu-Zahl-Umwandlung, Isopsephie-Vergleiche und interpretative Rahmenwerke. Verwenden beim Berechnen des Zahlenwerts eines hebraeischen Wortes oder Satzes, beim Vergleichen zweier Woerter auf gemeinsame Gematria-Werte, beim Studieren eines Bibelverses oder Gottesnamens auf numerische Entsprechungen oder beim Verbinden eines numerischen Ergebnisses mit seiner Position am Lebensbaum.

pjt222
pjt222
research
open
astronomy-physics
9

construct-geometric-figure

Eine Zirkel-und-Lineal-Konstruktion einer euklidischen geometrischen Figur durchführen, indem die gewünschte Figur identifiziert, primitive Operationen (Kreisschlag, Gerade) aufgelistet, jeder Konstruktionsschritt explizit ausgeführt und das Ergebnis durch Überprüfung von Abständen, Winkeln und Kollinearität verifiziert wird.

pjt222
pjt222
research
open
astronomy-physics
9

analyze-magnetic-field

Berechnen and visualize magnetic fields produced by current distributions using the Biot-Savart law, Ampere's law, and magnetic dipole approximations. Verwenden wenn computing B-fields from arbitrary current geometries, exploiting symmetry with Ampere's law, analyzing superposition of multiple sources, or characterizing magnetic materials durch permeability, B-H curves, and hysteresis behavior.

pjt222
pjt222
research
open
astronomy-physics
9

prove-geometric-theorem

Geometrische Sätze formal beweisen mit euklidisch-axiomatischen Methoden, Koordinatenbeweisen und Vektorbeweisen. Verwenden zum Beweis von Kongruenz- und Ähnlichkeitssätzen, Kreiseigenschaften, Kollinearität und Konzyklität sowie zur Validierung geometrischer Konstruktionen.

pjt222
pjt222
research
open
astronomy-physics
9

r-duckspatial

Use when code loads or uses duckspatial (library(duckspatial), duckspatial::), performing spatial joins or areal interpolation on large vector datasets in R, or needing faster spatial operations than sf

arthurgailes
arthurgailes
research
open
astronomy-physics
9

solve-modular-arithmetic

Modulare Arithmetik-Probleme loesen einschliesslich Kongruenzen, Systeme ueber den Chinesischen Restsatz, modulare Inverse und Anwendungen des Satzes von Euler. Umfasst sowohl manuelle als auch rechnerische Ansaetze. Verwenden beim Loesen linearer Kongruenzen, Berechnen modularer Inverser, Auswerten grosser modularer Potenzen, Arbeiten mit simultanen Kongruenzen (CRT) oder Operieren in zyklischen Gruppen und Kontexten diskreter Logarithmen.

pjt222
pjt222
research
open
astronomy-physics
9

geo

Geographic data validator for aviation and travel applications. Use when user says "geo audit", "check airports", "validate routes", "geo skill", "check geographic data", "verify iata codes", "check distances", or when reviewing any code/data that involves airport codes (IATA/ICAO), city-to-airport mappings, country codes (ISO 3166), flight distances, flight time estimates, flag URLs, or route feasibility. Also use for timezone validation, coordinate checks, and geopolitical accuracy (country names, disputed territories, naming conventions).

buildingopen
buildingopen
research
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