Tree with L edges and Sample Clauses

Tree with L edges and arbitrary ne: For this general most case, we construct a communication scheme similar to that of the general path model by making use of the idea that there is a unique path from a node to the root of the tree. Define s := min{ne : e ∈ E}. Consider a PIN model on a e∈E ne − nw. Since the source is Σirreducibl e, it follows tree with L + 1 nodes and L edges. To describe the linear from Lemma 6 in appendix A that s ≤ e∈E ne −nw. Since communication, fix some leaf node as the root, ρ, of the tree. the dimensions are appropriate, the left nullspace inclusion condition is not impossible. Observe that
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Related to Tree with L edges and

  • Agreements and Acknowledgements Regarding Hedging Counterparty understands, acknowledges and agrees that: (A) at any time on and prior to the Expiration Date, Dealer and its affiliates may buy or sell Shares or other securities or buy or sell options or futures contracts or enter into swaps or other derivative securities in order to adjust its hedge position with respect to the Transaction; (B) Dealer and its affiliates also may be active in the market for Shares other than in connection with hedging activities in relation to the Transaction; (C) Dealer shall make its own determination as to whether, when or in what manner any hedging or market activities in securities of Issuer shall be conducted and shall do so in a manner that it deems appropriate to hedge its price and market risk with respect to the Relevant Prices; and (D) any market activities of Dealer and its affiliates with respect to Shares may affect the market price and volatility of Shares, as well as the Relevant Prices, each in a manner that may be adverse to Counterparty.

  • Lack of Reliance on the Agents Independently and without reliance upon the Agents, each Lender, to the extent it deems appropriate, has made and shall continue to make (i) its own independent investigation of the financial condition and affairs of the Credit Parties in connection with the making and the continuance of the Loans and the taking or not taking of any action in connection herewith, (ii) its own appraisal of the creditworthiness of the Credit Parties and (iii) its own appraisal of the Hermes Cover and, except as expressly provided in this Agreement, none of the Agents shall have any duty or responsibility, either initially or on a continuing basis, to provide any Lender with any credit or other information with respect thereto, whether coming into its possession before the making of the Loans or at any time or times thereafter. None of the Agents shall be responsible to any Lender for any recitals, statements, information, representations or warranties herein or in any document, certificate or other writing delivered in connection herewith or for the execution, effectiveness, genuineness, validity, enforceability, perfection, collectibility, priority or sufficiency of this Agreement, any other Credit Document, the Hermes Cover or the financial condition of the Credit Parties or any of them or be required to make any inquiry concerning either the performance or observance of any of the terms, provisions or conditions of this Agreement, any other Credit Document, the Hermes Cover, or the financial condition of the Credit Parties or any of them or the existence or possible existence of any Default or Event of Default.

  • Certain Contracts (a) None of the Companies nor any of their Subsidiaries is a party to or bound by any contract, arrangement, commitment or understanding (whether written or oral) (i) that is material to the Companies and their Subsidiaries taken as a whole, (ii) that contains a non-compete or client or customer non-solicit requirement or other provision that restricts the conduct of, or the manner of conducting, any line of business in any geographic area, or, to the knowledge of Seller, upon consummation of the transactions contemplated hereby could restrict the ability of Buyers, the Companies or any of their respective Subsidiaries to engage in any line of business in any geographic area, (iii) that obligates any of the Companies or any of its Subsidiaries to conduct business on an exclusive or preferential basis with any third party or upon consummation of the transactions contemplated hereby will obligate Buyers, the Companies or any of their respective Subsidiaries to conduct business with any third party on an exclusive or preferential basis, in any case of the preceding which is material, (iv) with or to a labor union or guild (including any collective bargaining agreement), (v) that pertains to a material joint venture or material partnership agreement; (vi) that is an indenture, credit agreement, loan agreement, guarantee or other agreement relating to material indebtedness of any Company or any of its Subsidiaries, or of any third party for which the Companies or their Subsidiaries is a guarantor or is otherwise liable; (vii) that requires the Companies or any of their Subsidiaries to make an investment in, or otherwise provide funds to, any person, in each case in an amount in excess of $1 million; (viii) that is with an agency, broker, insurer or other person that accounted for 1% or more of the sales of the Companies and their Insurance Subsidiaries, taken as a whole, for the 12 months ended June 30, 2008; (ix) that provides for the indemnification of any officer, director or employee of the Companies or any of their Subsidiaries; or (x) that would prevent, materially delay or materially impede the Companies’ ability to consummate the transactions contemplated by this Agreement. Each contract, arrangement, commitment or understanding of the type described in this Section 3.13(a), whether or not set forth in the Company Disclosure Schedule, is referred to as a “Company Contract.” (b) (i) Each Company Contract is valid and binding on the applicable Company or its applicable Subsidiary, enforceable against it in accordance with its terms (subject to the Bankruptcy and Equity Exception), and is in full force and effect, (ii) each Company and each of its Subsidiaries and, to Seller’s knowledge, each other party thereto has duly performed all obligations required to be performed by it to date under each Company Contract and (iii) no event or condition exists that constitutes or, after notice or lapse of time or both, will constitute, a breach, violation or default on the part of the applicable Company or any of its Subsidiaries or, to Seller’s knowledge, any other party thereto under any such Company Contract. No notice of default or termination has been received under any Company Contract. There are no disputes pending or, to Seller’s knowledge, threatened with respect to any Company Contract.

  • Concerning the Collateral and Related Loan Documents Each member of the Lender Group authorizes and directs Agent to enter into this Agreement and the other Loan Documents. Each member of the Lender Group agrees (and by entering into a Bank Product Agreement, each Bank Product Provider shall be deemed to agree) that any action taken by Agent in accordance with the terms of this Agreement or the other Loan Documents relating to the Collateral and the exercise by Agent of its powers set forth therein or herein, together with such other powers that are reasonably incidental thereto, shall be binding upon all of the Lenders (and such Bank Product Provider).

  • Agreements and Acknowledgments Regarding Shares (i) Counterparty agrees and acknowledges that, in respect of any Shares delivered to Dealer hereunder, such Shares shall be newly issued (unless mutually agreed otherwise by the parties) and, upon such delivery, duly and validly authorized, issued and outstanding, fully paid and nonassessable, free of any lien, charge, claim or other encumbrance and not subject to any preemptive or similar rights and shall, upon such issuance, be accepted for listing or quotation on the Exchange. (ii) Counterparty agrees and acknowledges that Dealer (or an affiliate of Dealer) will hedge its exposure to the Transaction by selling Shares borrowed from third party securities lenders or other Shares pursuant to a registration statement, and that, pursuant to the terms of the Interpretive Letter, the Shares (up to the Initial Number of Shares) delivered, pledged or loaned by Counterparty to Dealer (or an affiliate of Dealer) in connection with the Transaction may be used by Dealer (or an affiliate of Dealer) to return to securities lenders without further registration or other restrictions under the Securities Act of 1933, as amended (the “Securities Act”), in the hands of those securities lenders, irrespective of whether such securities loan is effected by Dealer or an affiliate of Dealer. Accordingly, subject to Paragraph 7(h) below, Counterparty agrees that the Shares that it delivers, pledges or loans to Dealer (or an affiliate of Dealer) on or prior to the final Settlement Date will not bear a restrictive legend and that such Shares will be deposited in, and the delivery thereof shall be effected through the facilities of, the Clearance System. (iii) Counterparty agrees and acknowledges that it has reserved and will keep available at all times, free from preemptive or similar rights and free from any lien, charge, claim or other encumbrance, authorized but unissued Shares at least equal to the Share Cap, solely for the purpose of settlement under the Transaction. (iv) Unless the provisions set forth below under “Private Placement Procedures” are applicable, Dealer agrees to use any Shares delivered by Counterparty hereunder on any Settlement Date to return to securities lenders to close out open securities loans created by Dealer or an affiliate of Dealer in the course of Dealer’s or such affiliate’s hedging activities related to Dealer’s exposure under the Transaction. (v) In connection with bids and purchases of Shares in connection with any Cash Settlement or Net Share Settlement of the Transaction, Dealer shall use its good faith efforts to conduct its activities, or cause its affiliates to conduct their activities, in a manner consistent with the requirements of the safe harbor provided by Rule 10b-18, as if such provisions were applicable to such purchases and any analogous purchases under any Additional Transaction, taking into account any applicable SEC no action letters, as appropriate.

  • Certain Matters Affecting the Agent (a) The Agent may request and/or rely upon and shall be protected in acting or refraining from acting upon any officer’s certificate or assignment and assumption agreement delivered to the Agent pursuant to Section 14 and Section 15; (b) The Agent may consult with counsel and any opinion of counsel shall be full and complete authorization and protection in respect of any action taken or suffered or omitted by it hereunder in good faith and in accordance with such opinion of counsel; (c) The Agent shall be under no obligation to institute, conduct or defend any litigation hereunder or in relation hereto at the request, order or direction of any Note Holder pursuant to the provisions of this Agreement, unless it has received indemnity reasonably satisfactory to it; (d) The Agent or any of its directors, officers, employees, Affiliates, agents or “control” persons within the meaning of the Act, shall not be personally liable for any action taken, suffered or omitted by it in good faith and reasonably believed by the Agent to be authorized or within the discretion or rights or powers conferred upon it by this Agreement; (e) The Agent shall not be bound to make any investigation into the facts or matters stated in any officer’s certificate or assignment and assumption agreement delivered to the Agent pursuant to Section 15; (f) The Agent may execute any of the powers hereunder or perform any duties hereunder either directly or by or through agents or attorneys but shall not be relieved of its obligations hereunder; and (g) The Agent represents and warrants that it is a Qualified Institutional Lender.

  • Performance and Compliance with Contracts and Credit and Collection Policy The Seller shall (and shall cause the Servicer to), at its expense, timely and fully perform and comply with all material provisions, covenants and other promises required to be observed by it under the Contracts related to the Receivables, and timely and fully comply in all material respects with the applicable Credit and Collection Policies with regard to each Receivable and the related Contract.

  • Agreement Overview This SLA operates in conjunction with, and does not supersede or replace any part of, the Agreement. It outlines the information technology service levels that we will provide to you to ensure the availability of the application services that you have requested us to provide. All other support services are documented in the Support Call Process.

  • Lack of Reliance on the Agent Independently and without reliance upon the Agent, each Secured Party, to the extent it deems appropriate, has made and shall continue to make (i) its own independent investigation of the financial condition and affairs of the Company and its subsidiaries in connection with such Secured Party’s investment in the Debtors, the creation and continuance of the Obligations, the transactions contemplated by the Transaction Documents, and the taking or not taking of any action in connection therewith, and (ii) its own appraisal of the creditworthiness of the Company and its subsidiaries, and of the value of the Collateral from time to time, and the Agent shall have no duty or responsibility, either initially or on a continuing basis, to provide any Secured Party with any credit, market or other information with respect thereto, whether coming into its possession before any Obligations are incurred or at any time or times thereafter. The Agent shall not be responsible to the Debtors or any Secured Party for any recitals, statements, information, representations or warranties herein or in any document, certificate or other writing delivered in connection herewith, or for the execution, effectiveness, genuineness, validity, enforceability, perfection, collectibility, priority or sufficiency of the Agreement or any other Transaction Document, or for the financial condition of the Debtors or the value of any of the Collateral, or be required to make any inquiry concerning either the performance or observance of any of the terms, provisions or conditions of the Agreement or any other Transaction Document, or the financial condition of the Debtors, or the value of any of the Collateral, or the existence or possible existence of any default or Event of Default under the Agreement, the Debentures or any of the other Transaction Documents.

  • Compliance with Loan Documents Borrowers will comply in all material respects with any and all covenants and provisions of this Loan Agreement, the Notes and all other of the Loan Documents.

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