Corollary 3 Sample Clauses

Corollary 3. If one replaces the assumption in Theorem 3.3.13 on ▇▇▇’s knowl- edge about S by H∞(S|Z = z) ≥ t log |S|, an A-code results with parameters PI ≤ 2—[(t—1) log |S|+log |B|], PS ≤ (ϵ · |B| + 1) 2—( t−2 1 log |S|+ 1 log |B|).
Corollary 3. There exists a black-box quantum polynomial-time(n+ 1)- stage quantum algorithm such that for any adaptive adversary against the multi-round Fiat-Shamir transformed versionFS[Π]of a(2n+1)-round PCIPΠ, makingqqueries to a uniformly random functionHwith appropriate domain and range equalC, and for anyx ◦ ∈X: Pr x=x ◦ ∧v=accept: (x, v)→ ⟨S A,V⟩ (2q+n+ 1) 2n ≥ n! Pr x=x ◦ ∧V H (x,π) : (x,π)→A H −ϵ ◦ . where the additive error termϵ x◦ is equal to |C| when summed over allx ◦.
Corollary 3. If σˆVIX(K, T ) denotes the implied volatility of a VIX call or put option with strike K, we see that σˆ x : lim σˆ VIX exT H− 1 T |x| ( 0 ) (3.23) = T→0 VIX( 0 q2J 2VIX2x
Corollary 3. If the set of primes T is good for a Shintani set D, then ζR,T (b, D, U, 0) ∈ Z. We define a Z-valued measure ν(b, D) on up by ν(b, D, U ) ∶= ζR,T (b, D, U, 0), (3.3) ⊆ for U up compact open.

Related to Corollary 3

  • Switching and Tagging Rules The Developer and Connecting Transmission Owner shall each provide the other Party a copy of its switching and tagging rules that are applicable to the other Party’s activities. Such switching and tagging rules shall be developed on a nondiscriminatory basis. The Parties shall comply with applicable switching and tagging rules, as amended from time to time, in obtaining clearances for work or for switching operations on equipment.

  • Service Providing Methodology 1.3.1 Party A and Party B agree that during the term of this Agreement, where necessary, Party B may enter into further service agreements with Party A or any other party designated by Party A, which shall provide the specific contents, manner, personnel, and fees for the specific services. 1.3.2 To fulfill this Agreement, Party A and Party B agree that during the term of this Agreement, where necessary, Party B may enter into equipment or property leases with Party A or any other party designated by Party A which shall permit Party B to use Party A’s relevant equipment or property based on the needs of the business of Party B. 1.3.3 Party B hereby grants to Party A an irrevocable and exclusive option to purchase from Party B, at Party A’s sole discretion, any or all of the assets and business of Party B, to the extent permitted under PRC law, at the lowest purchase price permitted by PRC law. The Parties shall then enter into a separate assets or business transfer agreement, specifying the terms and conditions of the transfer of the assets.

  • 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. 5.7.2 BellSouth shall make available the following channelization systems and interfaces: 5.7.2.1 DS1 Channelization System: channelizes a DS1 signal into a maximum of twenty- four (24)

  • Switching System Hierarchy and Trunking Requirements For purposes of routing ECI traffic to Verizon, the subtending arrangements between Verizon Tandem Switches and Verizon End Office Switches shall be the same as the Tandem/End Office subtending arrangements Verizon maintains for the routing of its own or other carriers’ traffic (i.e., traffic will be routed to the appropriate Verizon Tandem subtended by the terminating End Office serving the Verizon Customer). For purposes of routing Verizon traffic to ECI, the subtending arrangements between ECI Tandem Switches and ECI End Office Switches shall be the same as the Tandem/End Office subtending arrangements that ECI maintains for the routing of its own or other carriers’ traffic.

  • Service Scope The following Services are covered by this Agreement; o Manned telephone support o Monitored email support o Remote assistance using Remote Desktop and a Virtual Private Network where available o Planned or Emergency Onsite assistance (extra costs apply) o Monthly system health check