Invoice Mathematician in Germany Berlin –Free Word Template Download with AI
Independent Mathematician & Mathematical Consultant
Kantstraße 142, 10625 Berlin, Germany
Phone: +49 (0)30 4455 6677
Email: [email protected]
VAT ID (USt-IdNr.): DE 312 456 789
Trade Register (Handelsregister): Amtsgericht Berlin-Charlottenburg, HRB 123 456
Bill To (Client)
Quantum Dynamics GmbH
Attn: Dr. Sabine Krüger, CFO
Unter den Linden 88
10117 Berlin, Germany
VAT ID: DE 298 765 432
Phone: +49 (0)30 8899 1122
Service Provider
Dr. Heinrich Vogel
Mathematician – Specialising in Applied
Stochastic Modelling & Numerical Analysis
Kantstraße 142
10625 Berlin, Germany
Freiberuflicher Mathematiker
| No. | Description of Mathematical Services | Rate (EUR) | Hours | Amount (EUR) | VAT (19%) |
|---|---|---|---|---|---|
| 01 |
Stochastic Modelling Consultation Development and validation of Monte Carlo simulation frameworks for risk assessment in quantum computing hardware. Includes derivation of probability distributions, convergence analysis, and peer-reviewed methodology documentation. Conducted at the client's Berlin office and via remote collaboration. |
145.00 | 32.0 | 4,640.00 | 881.60 |
| 02 |
Numerical Analysis & Algorithm Design Design and optimisation of finite-element solvers for partial differential equations governing thermal dynamics in semiconductor fabrication. Includes error-bound proofs, stability analysis, and implementation guidance for the engineering team in Berlin. |
145.00 | 28.0 | 4,060.00 | 771.40 |
| 03 |
Mathematical Proof Verification & Technical Report Independent verification of the client's proprietary mathematical proofs related to entanglement entropy calculations. Preparation of a comprehensive 45-page technical report with formal notation, lemmas, and corollaries, suitable for submission to the German Research Foundation (DFG) grant review panel. |
145.00 | 24.0 | 3,480.00 | 661.20 |
| 04 |
Workshop & Training Session Two-day intensive workshop for the client's R&D team (12 participants) on advanced topics in functional analysis, operator theory, and spectral methods. Delivered at the Quantum Dynamics GmbH headquarters in Berlin-Mitte. Includes printed mathematical handouts and post-workshop Q&A support. |
145.00 | 16.0 | 2,320.00 | 440.80 |
| 05 |
Ad-hoc Mathematical Advisory Ongoing availability for urgent mathematical queries, formula derivations, and notation standardisation across the client's engineering documentation. Includes email and telephone consultations within the service period. |
145.00 | 10.0 | 1,450.00 | 275.50 |
| Summary | |
|---|---|
| Subtotal (Net) | 15,950.00 EUR |
| VAT (MwSt.) 19% | 3,030.50 EUR |
| Total Amount Due | 18,980.50 EUR |
Payment Terms & Instructions
This invoice is payable within 30 calendar days of the invoice date, i.e., no later than 15 July 2025, by bank transfer to the following account:
Bank: Deutsche Bank AG, Berlin Branch
IBAN: DE89 3704 0044 0532 0130 00
BIC (SWIFT): COBADEFFXXX
Reference: INV-2025-0047 / Quantum Dynamics GmbH
In the event of late payment, statutory interest of 8 percentage points above the European Central Bank base rate for business transactions (per § 288 BGB) shall apply. This invoice constitutes a valid tax document (Rechnung) in accordance with § 14 of the German Value Added Tax Act (UStG). No discount is offered for early settlement.
Legal Notice: This invoice has been issued by Dr. Heinrich Vogel, a self-employed mathematician (freiberuflicher Mathematiker) registered in Berlin, Germany, in accordance with the German Commercial Code (HGB) and the German Value Added Tax Act (UStG). The services described herein constitute independent mathematical consulting and are not subject to the German Trade Regulation Act (GewO) as they fall under the category of liberal professions (freie Berufe).
Data Protection: Personal data contained in this invoice is processed in accordance with the General Data Protection Regulation (GDPR / DSGVO) and the German Federal Data Protection Act (BDSG). For data protection inquiries, please contact the data protection officer at the address stated above.
Dispute Resolution: Any disputes arising from this invoice or the underlying service agreement shall be governed by the laws of the Federal Republic of Germany. The exclusive place of jurisdiction is Berlin, Germany, unless otherwise agreed in writing. The client is informed of their right to submit complaints to the relevant consumer arbitration body in Berlin.
Document Retention: In accordance with § 147 AO (German Fiscal Code), this invoice and all related supporting documentation must be retained for a minimum of ten (10) years. The client is advised to retain a copy for their own tax and audit purposes.
⬇️ Download as DOCX Edit online as DOCXCreate your own Word template with our GoGPT AI prompt:
GoGPT