Abstract Algebra Sample Clauses

Abstract Algebra. We let the set of natural number be denoted by N, and the set of integers be denoted by Z. For any positive integer n, we denote the ring of integers modulo n by Zn = {0, 1, .., n− 1}. We denote the group of units of Zn (that is, elements relatively prime to n and therefore having an inverse under multiplication) by Zn∗ , and we denote by φ(n) the number of integers in {1, .., n} that are relatively prime to n. The function φ is called the Euler totient function. We recall that if n is prime, then φ(n)=n−1, and if n = p.q where p and q are relatively prime, then φ(n) = φ(p).φ(q). Let G be a group with binary operation ∗.
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Abstract Algebra. ‌ This section provides a basic introduction to groups and finite fields.

Related to Abstract Algebra

  • ABSTRACT AND TITLE Sellers, at their expense, shall promptly obtain an abstract of title to the Real Estate continued through the date of this contract and deliver it to Buyers for examination. It shall show merchantable title in Sellers in conformity with this contract, Iowa law and the Title Standards of the Iowa State Bar Association. The abstract shall become the property of the Buyers when the purchase price is paid in full, however, Buyers reserve the right to occasionally use the abstract prior to full payment of the purchase price. Sellers shall pay the costs of any additional abstracting and title work due to any act or omission of Sellers, including transfers by or the death of Sellers or their assignees.

  • Abstract 10. The month at which the participant joined the consortium, month 1 marking the start date of the project, and all other start dates being relative to this start date.

  • Medical Verification The Town may require medical verification of an employee’s absence if the Town perceives the employee is abusing sick leave or has used an excessive amount of sick leave. The Town may require medical verification of an employee’s absence to verify that the employee is able to return to work with or without restrictions.

  • Medical Records Medical records relating to Trial Subjects that are not submitted to Sponsor may include some of the same information as is included in Trial Data; however, Sponsor makes no claim of ownership to those documents or the information they contain. c.

  • Physical Examinations Where the Employer requires an employee to take a physical examination, doctor's fees for such examination shall be paid by the Employer. Except prior to commencement of employment and the first four (4) weeks of employment, such examinations shall be taken during the employee's working hours without loss of pay to the employee.

  • Verifications If Partner acquires Red Hat Products and/or Services directly from Red Hat, during the Term and for at least two (2) years thereafter, Partner will keep and maintain commercially reasonable written records regarding Partner’s use and distribution of the Red Hat Products and Services and business activities related to the Program(s) ("Records"). Red Hat may, at its own expense, verify the Records to determine Partner’s compliance with this Agreement. This verification may take the form of requests for information, documents or records (to which Partner will respond promptly), on-site visits (for which Partner shall grant Red Hat the requisite access), or both. The Parties will act reasonably and cooperate with each other in respect of such verifications. Any on-site visit will occur during regular business hours and will not interfere unreasonably with Partner’s business. For an on-site visit, Red Hat will give Partner at least thirty (30) day’s prior written notice.

  • Physical Examination The Employer, at its own expense, shall have the right and be given the opportunity to have a medical doctor appointed by the Employer examine, as often as it may reasonably require, any employee whose injury, sickness, mental or nervous disorder is the basis of claim upon this Plan.

  • Annual Physical Examination A permanent employee shall be granted up to one day per year with pay for the purpose of a comprehensive physical examination provided that the verification of such an examination is submitted to the District.

  • Examinations The Company has not received any notice that any Employee Benefit Plan is currently the subject of an audit, investigation, enforcement action or other similar proceeding conducted by any state or federal agency or authority.

  • Promotional Examinations All promotional examinations shall be competitive and shall be conducted in the same manner as open examinations except that admission to a promotional examination shall be restricted to persons in the employ of the County who have served at least six months following regular appointment to the classified service and who meet the published requirements for the examination. The Commission shall determine whether an examination shall be held on a promotional or open basis. 1492 Disposition of Papers and Records Prescribed application forms of persons who fail to appear for the written test and examination records of candidates who fail to qualify in the written test shall be destroyed at any time after thirty days from the date of promulgation of the eligible list. Examination records of candidates who qualify in an examination shall be retained during the life of the eligible list or for 15 months, whichever is longer, and the examination records of each appointee shall be filed in his/her permanent personnel folder. Following the period during which competitors may inspect their examination papers, and after their ratings in each part of the examination have been transferred to examination records, examination materials such as question booklets, answer sheets and work papers may be destroyed, but general qualification appraisal sheets and applications shall be retained at least 15 months from the date of the promulgation of the eligible list. APPOINTMENT

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