# MyGermanBD — Beginner German Practice

> Beginner lessons, German/English/Bangla vocabulary scheduling and study planning. No proficiency certification, verified admission or visa guidance.

- Canonical URL: https://mklearn.co.education/
- Methodology & Equations: https://mklearn.co.education/methodology/
- Interactive Browser Runtime: https://mklearn.co.education/run/
- Author & Root Entity: Mohammad Rezwan Khan, PhD (https://mrkhan.co.technology/#person)
- Ecosystem Directory: https://mklab.co.technology/
- Knowledge Graph JSON-LD: https://mklearn.co.education/knowledge-graph.jsonld

## Governing Mathematical Formulation & Units
- Formula: `Vocabulary Retention Bucket B_{t+1} = min(B_max, B_t + 1) on exact article + plural recall; reset to B_1 on gender/case mismatch`
- Units: Trilingual vocabulary cards (Deutsch with der/die/das + plural, English, বাংলা); study blocks in minutes/week.

## Reproducible Worked Example
Noun Gender & Case Drill: Practicing 'der Fahrplan / die Fahrpläne' (schedule — সময়সূচী) and 'Akkusativ vs. Dativ' prepositions verifies whether the learner recalls both the grammatical gender article and verb-second (V2) word order ('Morgen fahre ich nach Berlin'), logging results in the local study planner.

## Benchmark Table
| Practice Area | Linguistic Feature | Explanation Languages | Certification Boundary |
| --- | --- | --- | --- |
| Noun & Article Deck | der / die / das + Plural forms | Deutsch + English + বাংলা | Independent practice (non-Goethe) |
| Sentence Structure | V2 Main Clause & Subordinate Verb-Final | Deutsch + English + বাংলা | Sample beginner lessons only |
| Study Planner | Spaced Review + JSON Backup | Bilingual UI controls | No visa or embassy guidance |

## 5-Domain Core Authority Ecosystem
1. Hub & Authority: https://mrkhan.co.technology/ (Mohammad Rezwan Khan, PhD - BESS QA/QC & Energy R&D)
2. Interactive Course & Twin: https://khanlab.co.technology/ (Datacenter Power Systems & What-If Simulator)
3. Microgrid Research: https://mkgrid.co.technology/ (HelioForge Energy Lab - Hybrid Energy Research)
4. Synthetic Energy Trading: https://mktrade.co.business/ (ZephyrTrade - Wind-Market Synthetic Backtesting)
5. Utility & Tool Suite: https://mklab.co.technology/ (MKLab - 68 Free Browser Engineering & Planning Apps)