Representation by ternary quadratic Sample Clauses

Representation by ternary quadratic forms It is a classical problem to classify the integers represented by a positive definite, integral quadratic form. In particular, one may ask when such a form represents all positive integers. This is now known due to recent theorems of Xxxxxx-Xxxxxxxxxxxx-Xxxxxxxx [9] and Xxxxxxxx-Xxxxx [8], a pair of results known as the 15 and 290 theorems. If a form does not represent all positive integers, perhaps the next best thing would be for it to represent all integers which are locally represented (represented modulo m for all integers m). Such forms are known as regular quadratic forms, and Jagy, Xxxxxxxxx, and Xxxxxxxxx [47] proved that there are at most 913 regular ternary quadratic forms, of which 899 are known to be regular. Adapting techniques of Xxx and Xxxxxxxxxxxxx [65], we prove the following theorem in Section 4.4.
Sample 1
AutoNDA by SimpleDocs

Related to Representation by ternary quadratic

  • Representation by Engineer The Engineer represents that its firm has no conflict of interest that would in any way interfere with its or its employees’ performance of services for the department or which in any way conflicts with the interests of the department. The Engineer further certifies that this agreement is not barred because of a conflict of interest pursuant to Texas Government Code, Section 2261.252, between it and the State. Specifically, the Engineer certifies that none of the following individuals, nor any or their family members within the second degree of affinity or consanguinity, owns 1% or more interest, or has a financial interest as defined under Texas Government Code, Section 2261.252(b), in the Engineer: any member of the Texas Transportation Commission, TxDOT’s Executive Director, General Counsel, Chief of Procurement and Field Support Operations, Director of Procurement, or Director of Contract Services. The firm shall exercise reasonable care and diligence to prevent any actions or conditions that could result in a conflict with the department's interests.

  • 342 Termination by Purchaser (a) Purchaser may, by written notice, terminate this Contract, in whole or in part, as described herein,

  • Representation by Counsel Each Party hereby represents that it has had the opportunity to be represented by legal counsel of its choice in connection with the negotiation and execution of this Agreement.

  • Termination by Resident The Resident may terminate this Residency Agreement, upon thirty (30) days prior written notice to the FACILITY (“Resident Notice Period”), for any reason.

  • Termination by XOOM We may terminate this Contract, or the applicable portion of this Contract, at our discretion and without penalty immediately upon notice to you if:

  • Termination by the Owner for Convenience § 14.4.1 The Owner may, at any time, terminate the Contract for the Owner’s convenience and without cause.

  • Termination for Material Breach A party may terminate this Agreement immediately upon notice to the other parties if any of the other parties materially breaches this Agreement, and if capable of cure, does not cure the breach within 10 days after receiving notice specifying the breach. If the material breach affects only certain Services, the non-breaching party that served the notice may choose to terminate only the affected Services.

  • Termination by ICANN (a) ICANN may, upon notice to Registry Operator, terminate this Agreement if: (i) Registry Operator fails to cure (A) any fundamental and material breach of Registry Operator’s representations and warranties set forth in Article 1 or covenants set forth in Article 2, or (B) any breach of Registry Operator’s payment obligations set forth in Article 6 of this Agreement, each within thirty (30) calendar days after ICANN gives Registry Operator notice of such breach, which notice will include with specificity the details of the alleged breach, (ii) an arbitrator or court of competent jurisdiction has finally determined that Registry Operator is in fundamental and material breach of such covenant(s) or in breach of its payment obligations, and (iii) Registry Operator fails to comply with such determination and cure such breach within ten (10) calendar days or such other time period as may be determined by the arbitrator or court of competent jurisdiction.

  • REPRESENTATIONS AND WARRANTIES OF ANNUAL CONFERENCE The Annual Conference represents and warrants to the Local Church as of the date hereof and the Disaffiliation Date as follows:

  • Termination by Client Without prejudice to any rights or remedies of the Client, the Client may, by at least seven (7) days’ notice in writing to Deswik, terminate this Agreement if:

Time is Money Join Law Insider Premium to draft better contracts faster.