Weak approximation Sample Clauses

Weak approximation. In this section we state and prove a weak approximation theorem for the field Q. We will use the following lemma, which is a variant of Krasner’s lemma. Let L be a field with a discrete valuation v : L∗ → Z. Let |.| be an absolute value corresponding to this valuation. For polynomials g, h ∈ ΣL[X], we define thΣe distance i i between g and h as |g — h| = maxi |gi — hi|, where g = i giX and h = i hiX . | — | ∈ ∈
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Weak approximation. Lemma 1.7.1. Let | · |1, | · |2, . . . , | · |n be non trivial inequivalent valuations of a field K, then there is an element α ∈ K such that  |α|1 > 1  |α|i < 1, i 1.

Related to Weak approximation

  • Estimates User shall pay to Tenant, in advance on a monthly basis, an amount equal to the estimated Rent for each year of the Use Period or part thereof divided by the number of months therein. Attached as Exhibit B is an budget for the Project prepared by Tenant and approved by User, which reflects a good faith estimate of Rent. Based on Exhibit B, the parties have agreed that User will pay to Tenant the monthly sum allocated to User on Exhibit B, in advance, as Tenant’s initial estimate of Rent. From time to time, Tenant may estimate and re-estimate the amount of Rent to be due and deliver a copy of the estimate or re-estimate to User. Thereafter, the monthly installments of Rent shall be appropriately adjusted in accordance with the estimations so that, by the end of the calendar year in question, User shall have paid all of Rent estimated by Tenant for such calendar year. Any amounts paid based on such an estimate shall be subject to adjustment as herein provided when the actual amount of Rent is available for each calendar year or fraction thereof (in the instance of any partial calendar year).

  • Estimate The Engineer shall independently develop and report quantities necessary to construct the contract in standard State bid format at the specified milestones and Final PS&E submittals. The Engineer shall prepare each construction cost estimates using Estimator or any approved method. The estimate shall be provided at each milestone submittal or in DCIS format at the 95% and Final PS&E submittals per State’s District requirement.

  • Cost Estimates If this Agreement pertains to the design of a public works project, CONSULTANT shall submit estimates of probable construction costs at each phase of design submittal. If the total estimated construction cost at any submittal exceeds ten percent (10%) of CITY’s stated construction budget, CONSULTANT shall make recommendations to CITY for aligning the PROJECT design with the budget, incorporate CITY approved recommendations, and revise the design to meet the Project budget, at no additional cost to CITY.

  • Conclusions 1. There is no basis for finding that the agreement discriminates against any telecommunications carrier not a party to the agreement.

  • Justification and Anticipated Results The Privacy Act requires that each matching agreement specify the justification for the program and the anticipated results, including a specific estimate of any savings. 5 U.S.C. § 552a(o)(1)(B).

  • Estimating (2) Marketing and sales:

  • Interview Questions Explanation Why do you want to be a Board member? What specific skills would you bring to the Board? Please give specific examples of your ability in interpersonal relationships and teamwork. What do you see as the role of a Board member? What have you done to prepare yourself for the challenges of being a Board member? Interview questions are at the Board's sole discretion. This list is not exhaustive, but it may help the Board tailor its questions toward finding a candidate who will approach Board membership with a clear understanding of its demands and expectations along with a constructive attitude toward the challenge. The Board may also want to consider allowing an equal amount of time for each interview. Please describe your previous community or non-profit experiences. What areas in the district would you like to see the Board strengthen? See IASB's Recruiting School Board Candidates, available at: xxx.xxxx.xxx/xxxxxxxx/xxxxxxxxxx.xxx A prospective candidate to fill a vacancy may raise other specific issues that the Board will want to cover during an interview. What is your availability to meet the time, training commitments, and other responsibilities required for Board membership? Describe what legacy you would like to leave behind. Conduct interviews with candidates (interviews may occur in closed session pursuant to 5 ILCS 120/2(c)(3)). Interview Plan Explanation In each interview, the Board President will: Introduce Board members to the candidate at the beginning of the interview. Describe the Board's interview process, selection process, and ask the candidate if he or she has questions about the Board's process for filling a vacancy by appointment. Describe the District's philosophy or mission statement. Describe the vacancy for the candidate by reviewing the: (1) qualifications, and (2) general duties and responsibilities of the Board and the Board members, including fiduciary responsibilities, conflict of interest, ethics and gift ban, and general Board member development. Begin asking the interview questions that the Board developed. Ask the candidate whether he or she has any questions for the Board. Thank the candidate and inform the candidate when the Board expects to make a decision and how the candidate will be contacted regarding the Board's decision. The Board President will lead the Board as it interviews prospective candidates. See Board policy 2:110, Qualifications, Term, and Duties of Board Officers. The president presides at all meetings. 105 ILCS 5/10-13. The Board may also want to consider allowing an equal amount of time for each interview. Fill vacancy by a vote during an open meeting of the Board before the 60th day (105 ILCS 5/10-10, amended by P.A. 101-67, eff. 1-1-20). Assist the appointed Board member in filing his or her statement of economic interest (5 ILCS 420/4A-105(c). Announce the appointment to District staff and community. Announcement Explanation The Board appointed [appointee's name] to fill the vacancy on the Board. The appointment will be from [date] to [date]. The Board previously established qualifications for the appointee in a careful and thoughtful manner. [Appointee's name] meets these qualifications and has demonstrated the willingness to accept the duties and responsibilities of a Board member. [Appointee's name] brings a clear understanding of the demands and expectations of being a Board member along with a constructive attitude toward the challenge. The contents of the appointment announcement and length of time it is displayed are at the Board's sole discretion. The Board may want to consider announcing the appointment during its meeting and also by posting it in the same places that it posted the vacancy announcement. See Board policy 8:10, Connection with the Community. Administer the Oath of Office and begin orientation. Guidelines Explanation See Board policy 2:80, Board Member Oath and Conduct. Each individual, before taking his or her seat on the Board, must take an oath in substantially the form given in 105 ILCS 5/10-16.5. See Board policy 2:120, Board Member Development, and 2:120-E, Guidelines for Serving as a Mentor to a NewSchool Board Member. Orientation assists new Board members to learn, understand, and practice effective governance principles. See the IASB Foundational Principles of Effective Governance, available at: xxx.xxxx.xxx/xxxxxxxxxx_xxxxx.xxx. Inform IASB of the newly appointed Board member's name and directory information. DATED : December 16, 2019 Ottawa THSD 140

  • Objectives and Principles Article 1

  • Measurements and arithmetic conventions All measurements and calculations shall be in the metric system and calculations done to 2 (two) decimal places, with the third digit of 5 (five) or above being rounded up and below 5 (five) being rounded down.

  • Cost Estimating The Model may be used to develop cost estimates based on the approximate data provided and conceptual estimating techniques (e.g., volume and quantity of elements or type of system selected).

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