Experimenting with NFS Sample Clauses

Experimenting with NFS. We now compare the theoretical densities with the practical densities of the semi- smooth numbers in the case of the number field sieve. This is more complicated than the comparison for MPQS, as there are more aspects that we must take into account. We start with a similar approach as in Subsection 3.3.1, but we give as well the better approach (already mentioned in a footnote in Section 3.3) that takes more polynomial values into account (as in [29]) by dividing the sieving region into subregions. | | In NFS we work with two homogeneous polynomials F1(x, y) and F2(x, y), and we search for pairs (a, b) with gcd(a, b) = 1 and b > 0 such that both |F1(a, b)| and F2(a, b) are (semi)smooth. For both polynomials we are looking for the highest polynomial value in the sieving region and if necessary we apply a correction for the average value and xxx xxxxx of Fi(a, b), for i = 1, 2, modulo primes in the factorbase (similar to the correction we applied for the polynomials in MPQS). We assume that the probability of F1(a, b) being semismooth is independent of the probability of F2(a, b) being semismooth. − First we give our results for a number (19, 183 , C131) we factored with the special number field sieve. The polynomials are • F1(x, y) = 37589973457545958193355601x − y, and
AutoNDA by SimpleDocs
Experimenting with NFS. We now compare the theoretical densities with the practical densities of the semi- smooth numbers in the case of the number field sieve. This is more complicated than the comparison for MPQS, as there are more aspects that we must take into account. We start with a similar approach as in Subsection 3.3.1, but we give as well the better approach (already mentioned in a footnote in Section 3.3) that takes more polynomial values into account (as in [29]) by dividing the sieving region into subregions.

Related to Experimenting with NFS

  • Budgeting The budget set out in the Consortium Plan shall be valued in accordance with the usual accounting and management principles and practices of the respective Parties.

  • Reverse Engineering The Customer must not reverse assemble or reverse compile or directly or indirectly allow or cause a third party to reverse assemble or reverse compile the whole or any part of the software or any products supplied as a part of the Licensed System.

  • Forecasting Manager and Sprint PCS will work cooperatively to generate mutually acceptable forecasts of important business metrics including traffic volumes, handset sales, subscribers and Collected Revenues for the Sprint PCS Products and Services. The forecasts are for planning purposes only and do not constitute Manager's obligation to meet the quantities forecast.

  • LIMITATIONS ON REVERSE ENGINEERING, DECOMPILATION AND DISASSEMBLY You may not reverse engineer, decompile, or disassemble the Software, except and only to the extent that such activity is expressly permitted by applicable law notwithstanding this limitation.

  • Regulation AB Compliance; Intent of Parties; Reasonableness The parties hereto acknowledge that interpretations of the requirements of Regulation AB may change over time, whether due to interpretive guidance provided by the Commission or its staff, consensus among participants in the asset-backed securities markets, advice of counsel, or otherwise, and agree to comply with requests made by the Depositor or the Master Servicer in good faith for delivery of information under these provisions on the basis of evolving interpretations of Regulation AB. In connection with the Trust, the Servicer shall cooperate fully with the Master Servicer and the Depositor to deliver to the Master Servicer and/or the Depositor (including its assignees or designees), any and all statements, reports, certifications, records and any other information available to such party and reasonably necessary in the good faith determination of the Depositor or the Master Servicer to permit the Depositor to comply with the provisions of Regulation AB, together with such disclosures relating to the Servicer reasonably believed by the Depositor or the Master Servicer to be necessary in order to effect such compliance.

  • Commercialization Reports Throughout the term of this Agreement and during the Sell-Off Period, and within thirty (30) days of December 31st of each year, Company will deliver to University written reports of Company’s and Sublicensees’ efforts and plans to develop and commercialize the innovations covered by the Licensed Rights and to make and sell Licensed Products. Company will have no obligation to prepare commercialization reports in years where (a) Company delivers to University a written Sales Report with active sales, and (b) Company has fulfilled all Performance Milestones. In relation to each of the Performance Milestones each commercialization report will include sufficient information to demonstrate achievement of those Performance Milestones and will set out timeframes and plans for achieving those Performance Milestones which have not yet been met.

  • Adverse Events Subsequent to the date hereof, there shall not have occurred any of the following: (i) a suspension or material limitation in trading in securities generally on the New York Stock Exchange, the NASDAQ National Market or the NASDAQ Global Market, (ii) a general moratorium on commercial banking activities in the People’s Republic of China or New York, (iii) the outbreak or escalation of hostilities involving the United States or the People’s Republic of China or the declaration by the United States or the People’s Republic of China of a national emergency or war if the effect of any such event specified in this clause (iii) in your reasonable judgment makes it impracticable or inadvisable to proceed with the public offering or the delivery of the Shares on the terms and in the manner contemplated in the Prospectus, or (iv) such a material adverse change in general economic, political, financial or international conditions affecting financial markets in the United States or the People’s Republic of China having a material adverse impact on trading prices of securities in general, as, in your reasonable judgment, makes it impracticable or inadvisable to proceed with the public offering of the Shares or the delivery of the Shares on the terms and in the manner contemplated in the Prospectus.

  • Research Primary Investigator as part of a multi-site study (25 points) • Co-Investigator as part of a multi-site study (20 points) • Primary Investigator of a facility/unit based research study (15 points) • Co-Investigator of a facility/unit based research study (10 points) • Develops a unit specific research proposal (5 points) • Conducts a literature review as part of a research study (5 points)

  • Litigation Reporting If Contractor is served with a pleading or other document in connection with an action before a court or other administrative decision making body, and such pleading or document relates to this Participating Addendum or may affect Contractor’s ability to perform its obligations under this Participating Addendum, Contractor shall, within 10 days after being served, notify the State of such action and deliver copies of such pleading or document to the State’s primary contact identified in §5 of the Participating Addendum .

  • Project Monitoring Reporting and Evaluation The Recipient shall furnish to the Association each Project Report not later than forty-five (45) days after the end of each calendar semester, covering the calendar semester.

Draft better contracts in just 5 minutes Get the weekly Law Insider newsletter packed with expert videos, webinars, ebooks, and more!