Number Transformation Sample Clauses

Number Transformation. The proposition n ≤ m asserts that either “n is less than m” or “n is equal to m”; but what exactly does this mean? Clearly, if n and m are equal, the proposition is true in virtue of the right disjunct “n is equal to m”, but what if n and m are not equal? A type-theoretic approach to this problem is to associate the proposition with a type, and to define the type in such a way that the proposition is true if and only if the type is inhabited. So, “type 1 ≤ 1” is inhabited whereas “type 2 ≤ 1” is not. A suitable definition of “type n ≤ m” is given by the following introduction rules. n : Nat (@≤ I1) . n : Nat m : Nat h : n ≤ m (@≤ I2) . ≤ @1 n : n ≤ n @2 n m h : n ≤ S m The first rule asserts that @1 n is an object of type n ≤ n, if n is a natural number, so ≤ ≤ S m, if n and m are natural numbers, and h is an object (a proof) that n ≤ m. So e.g. 1 ≤ 3 if 1 ≤ 2. Recall that S is the successor function. Using these rules, it is relatively easy to 1Type n ≤ m is actually a dependent type over natural numbers, whose inhabitants vary with n and m so that, for example, the inhabitants of type 1 ≤ 1 differ from those of type 1 ≤ 2. The use of infix notation makes the types easier to read. An alternative notation, which is less readable, is given by ≤ n m, or le n m as in Coq. prove that n ≤ m for some n and m, when n really is less than or equal to m according to these rules, by finding a suitable object that inhabits type n ≤ m.
Sample 1
AutoNDA by SimpleDocs

Related to Number Transformation

  • Unbundled Channelization (Multiplexing) 5.7.1 To the extent NewPhone is purchasing DS1 or DS3 or STS-1 Dedicated Transport pursuant to this Agreement, Unbundled Channelization (UC) provides the optional multiplexing capability that will allow a DS1 (1.544 Mbps) or DS3 (44.736 Mbps) or STS-1 (51.84 Mbps) Network Elements to be multiplexed or channelized at a BellSouth central office. Channelization can be accomplished through the use of a multiplexer or a digital cross-connect system at the discretion of BellSouth. Once UC has been installed, NewPhone may request channel activation on a channelized facility and BellSouth shall connect the requested facilities via COCIs. The COCI must be compatible with the lower capacity facility and ordered with the lower capacity facility. This service is available as defined in NECA 4.

  • Organizational Transition Local Church shall take all steps necessary to close and/or dissolve any legal entities of the Local Church and to settle, liquidate, or transfer all assets and obligations of such entities, or to establish any new legal entities, or to modify its current organizing documents as needed to effectuate its disaffiliation from The United Methodist Church, to the satisfaction of Annual Conference.

  • Collocation Transfer of Responsibility Without Working Circuits The Collocation is not serving any End User Customers and does not have active service terminations (e.g., Interconnection trunks or UNE Loops) or 2) Collocation Transfer of Responsibility With Working Circuits – The Collocation has active service terminations, such as Interconnection trunks or is serving End User Customers.

  • Vendor Encouraging Members to bypass TIPS agreement Encouraging entities to purchase directly from the Vendor or through another agreement, when the Member has requested using the TIPS cooperative Agreement or price, and thereby bypassing the TIPS Agreement is a violation of the terms and conditions of this Agreement and will result in removal of the Vendor from the TIPS Program.

  • Change in Form of Business Organization If, during the term of this Agreement, the form of CONTRACTOR’s business organization changes, or the ownership of CONTRACTOR changes, or when changes occur between CONTRACTOR and other businesses that could impact services provided through this Agreement, CONTRACTOR shall promptly notify ADMINISTRATOR, in writing, detailing such changes. A change in the form of business organization may, at COUNTY’s sole discretion, be treated as an attempted assignment of rights or delegation of duties of this Agreement.

  • Signaling Parameters All SS7 signaling parameters will be provided in conjunction with traffic exchange trunk groups, where and as available. These parameters include Automatic Number Identification ("ANI"), Calling Party Number ("CPN"), Privacy Indicator, calling party category information, originating line information, charge number, etc. Also included are all parameters relating to network signaling information, such as Carrier Information Parameter ("CIP"), wherever such information is needed for call routing or billing. GTE will provide SS7 via GR-394-SS7 and/or GR-317-SS7 format(s).

  • Conversion of Live Telephone Exchange Service to Analog 2W Loops The following coordination procedures shall apply to “live” cutovers of VERIZON Customers who are converting their Telephone Exchange Services to SPRINT Telephone Exchange Services provisioned over Analog 2W unbundled Local Loops (“Analog 2W Loops”) to be provided by VERIZON to SPRINT.

  • Trunk Data Exchange 65.9.1 Each Party agrees to service trunk groups to the blocking criteria in Section 64.3.4 in a timely manner when trunk groups exceed measured blocking thresholds on an average time consistent busy hour for a twenty- one (21) Day study period. The Parties agree that twenty-one (21) Days is the study period duration objective unless mutually agreed otherwise. The study period will not include a holiday.

  • Multiple Measures of Student Learning Measures must include a combination of classroom, school and district assessments, student growth percentiles on state assessments, if state assessments are available, and student MEPA gain scores. This definition may be revised as required by regulations or agreement of the parties upon issuance of ESE guidance expected by July 2012.

  • Multi-year Planning Targets Schedule A may reflect an allocation for the first Funding Year of this Agreement as well as planning targets for up to two additional years, consistent with the term of this Agreement. In such an event, the HSP acknowledges that if it is provided with planning targets, these targets:

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