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Purchase Order Mathematician in Brazil Rio de Janeiro –Free Word Template Download with AI

Professional Services Procurement — Mathematician Engagement Issued in Rio de Janeiro, Brazil Purchase Order No.: PO-RJ-2025-04782 Date of Issue: 15 June 2025 Delivery Location: Rio de Janeiro, Brazil Valid Until: 15 September 2025 Buyer Information Instituto de Pesquisa Avançada do Rio de Janeiro (IPARJ)
Av. Atlântica, 2500 — Copacabana
Rio de Janeiro, RJ — 22070-001
Brazil
CNPJ: 12.345.678/0001-90
Contact: [email protected] | +55 (21) 3456-7890
Supplier / Service Provider Dr. Helena Vasconcelos — Independent Mathematician
Rua Voluntários da Pátria, 845 — Botafogo
Rio de Janeiro, RJ — 22250-040
Brazil
CPF: ***.456.789-**
Contact: [email protected] | +55 (21) 98765-4321
Description of Purchase Order

This Purchase Order is issued by the Instituto de Pesquisa Avançada do Rio de Janeiro (IPARJ) to formally engage the services of a qualified Mathematician for the purpose of providing advanced mathematical consulting, research collaboration, and analytical modeling support. The engagement is to be carried out primarily within the city of Brazil Rio de Janeiro, with the possibility of remote collaboration as specified in the terms below. This Purchase Order constitutes a binding agreement between the Buyer and the Supplier upon full execution by both parties.

The Mathematician engaged under this Purchase Order shall provide expertise in applied mathematics, numerical analysis, statistical modeling, and optimization theory. The work is directly related to IPARJ's ongoing research program on climate modeling for the coastal regions of Rio de Janeiro, Brazil, and requires the Mathematician to develop and validate complex differential equation systems, stochastic processes, and machine learning algorithms tailored to the specific environmental data collected in the Brazil Rio de Janeiro metropolitan area.

Line Items & Pricing
Item Description Qty Unit Price (BRL) Total (BRL) Duration
1 Advanced mathematical modeling and analysis services by the Mathematician for climate simulation frameworks specific to the Brazil Rio de Janeiro coastal zone 1 R$ 18,500.00 R$ 18,500.00 3 months
2 Development of stochastic differential equations for rainfall prediction in the Rio de Janeiro, Brazil region 1 R$ 12,300.00 R$ 12,300.00 2 months
3 On-site consultation and workshop facilitation at IPARJ headquarters, Rio de Janeiro, Brazil 8 R$ 2,200.00 R$ 17,600.00 Per session
4 Peer review and validation of mathematical proofs and algorithmic solutions 1 R$ 9,800.00 R$ 9,800.00 1 month
5 Preparation of technical documentation and mathematical appendices for the final research report 1 R$ 6,400.00 R$ 6,400.00 1 month
SUBTOTAL R$ 64,600.00
Taxes & Fees (ISS — Rio de Janeiro, Brazil) R$ 3,230.00
GRAND TOTAL R$ 67,830.00
Terms and Conditions
  1. This Purchase Order is governed by the laws of the Federative Republic of Brazil, specifically the Civil Code (Código Civil, Lei nº 10.406/2002) and applicable municipal regulations of Rio de Janeiro, Brazil.
  2. The Mathematician shall perform all services with professional diligence, adhering to the highest standards of mathematical rigor and academic integrity. All deliverables must be submitted to IPARJ for review within the timelines specified in this Purchase Order.
  3. Payment shall be made in Brazilian Reais (BRL) via bank transfer to the account designated by the Mathematician, within thirty (30) calendar days of receipt of an approved invoice. Late payments shall accrue interest at the rate of 1% per month, as stipulated under Brazilian commercial law.
  4. All intellectual property, mathematical models, proofs, and documentation produced under this Purchase Order shall be the exclusive property of IPARJ, unless otherwise agreed in writing. The Mathematician retains the right to reference the work in academic publications with prior written consent from the Buyer.
  5. The Mathematician is required to maintain a valid professional registration and shall comply with all data protection regulations, including the Brazilian General Data Protection Law (LGPD — Lei nº 13.709/2018), particularly when handling sensitive environmental data collected in Brazil Rio de Janeiro.
  6. Any disputes arising from this Purchase Order shall be resolved through arbitration in the city of Rio de Janeiro, Brazil, in accordance with the rules of the Brazilian Arbitration Association (CAB).
  7. This Purchase Order may be amended only by mutual written agreement of both parties. No oral modifications shall be considered valid.
  8. The Mathematician shall not subcontract any portion of the work described in this Purchase Order without prior written authorization from IPARJ.
  9. Force majeure events, including but not limited to natural disasters affecting the Rio de Janeiro, Brazil region, shall suspend obligations under this Purchase Order for the duration of the event, with written notice provided within five (5) business days.
Acceptance & Signatures

By signing below, both parties acknowledge and agree to all terms, conditions, and specifications outlined in this Purchase Order for the engagement of the Mathematician in the city of Brazil Rio de Janeiro.

For the Buyer (IPARJ)
Name: Prof. Carlos Menezes
Title: Director of Procurement
Date: _______________
For the Supplier (Mathematician)
Name: Dr. Helena Vasconcelos
Title: Independent Mathematician
Date: _______________

This Purchase Order (PO-RJ-2025-04782) was issued in Rio de Janeiro, Brazil. It is valid for a period of ninety (90) days from the date of issue. For any inquiries regarding this Purchase Order or the Mathematician engagement, please contact the Procurement Department at IPARJ, Av. Atlântica, 2500, Copacabana, Rio de Janeiro, RJ, Brazil.

Document Reference: PO-RJ-2025-04782 | Version 1.0 | Confidential

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