r/o Sample Clauses

r/o. − ∈ The infrastructure of K is the set of all reduced principal -ideals. Each infrastructure ideal a is associated with its unique distance δ(a) = log α R≥0, where α is the smallest generator of a that is at least 1. The infrastructure is thus a finite set that is ordered by distance, where the first ideal is and has distance 0. Baby steps move cyclically through the infrastructure, obtaining from any infrastructure ideal a the next infrastructure ideal ρ(a) in the distance ordering, along with the relative distance δ(ρ(a)) δ(a) R>0. O O O ∈ ∈ R ∈ − − ∈ The product ab of two reduced principal ideals a, b is generally a non-reduced (and even non-primitive) principal -ideal; more exactly, ab = (S)c with S Z+ and c a primitive -ideal. Reduction applies the same arithmetic as the baby step operation to c, producing a reduced ideal equivalent to ab. Suppose a and b are infrastructure ideals, and let r = (θ)ab , with θ K, be the first reduced ideal thus obtained. Then the operation that computes r and θ from a and b is a giant step. Instead of using multiplication with subsequent reduction, giant steps can be performed more efficiently using the NUCOMP algorithm first proposed by Xxxxxx [19]. The distance “error” log θ = δ(r) δ(a) δ(b) R is generally very small compared to the distances of a and b. It follows that under the giant step operation, the infrastructure behaves almost like a finite abelian group, where the identity is and the “inverse” operation is conjugation; associativity fails, but only barely since the distance is nearly additive under giant steps.‌
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r/o. (hereinafter called the “settlor”) and Sri.............
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r/o. (hereinafter called the “trustees”) on this............. day of.............20.............at.............
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r/o and his only daughter Smt....................w/o..................r/o.................witnesses as following :
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r/o. (here in after called the "indemnifiers "which expression includes their legal heirs and Successors in interest) of the part and the state of Uttar Pradesh represented by the Milk Commissioner, Dairy Development Department of Uttar Pradesh (here in after called the " indemnity holder") of the other part.
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r/o. (hereinafter called first party), and Shri ...........
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r/o. (hereinafter called second party) Shri.......s/o.........
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r/o. (hereinafter called third party), and do hereby execute this DEED OF PARTITION between themselves on this ................... day of ..................
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Related to r/o

  • Reliance on Officer’s Certificate Except as otherwise provided in Section 7.01, whenever in the administration of the provisions of this Indenture the Trustee shall deem it reasonably necessary or desirable that a matter be proved or established prior to taking or suffering or omitting to take any action hereunder, such matter (unless other evidence in respect thereof be herein specifically prescribed) may, in the absence of negligence or bad faith on the part of the Trustee, be deemed to be conclusively proved and established by an Officer’s Certificate delivered to the Trustee and such certificate, in the absence of negligence or bad faith on the part of the Trustee, shall be full warrant to the Trustee for any action taken, suffered or omitted to be taken by it under the provisions of this Indenture upon the faith thereof.

  • Officer’s Compliance Certificates As soon as practicable (and in any event within 60 days after the close of each of the first three quarters of its fiscal year and within 120 days after the close of each fiscal year), a statement signed by one of the Parent’s financial officers substantially in the form of Exhibit M (commencing with the fourth quarter of the fiscal year ending December 31, 2012) and such other information as the Facility Agent may reasonably request;

  • Funding Reliance, etc Unless the Administrative Agent shall have been notified in writing by any Lender by 3:00 p.m. on the Business Day prior to a Borrowing that such Lender will not make available the amount which would constitute its Percentage of such Borrowing on the date specified therefor, the Administrative Agent may assume that such Lender has made such amount available to the Administrative Agent and, in reliance upon such assumption, make available to the Borrower a corresponding amount. If and to the extent that such Lender shall not have made such amount available to the Administrative Agent, such Lender and the Borrower severally agree to repay the Administrative Agent forthwith on demand such corresponding amount together with interest thereon, for each day from the date the Administrative Agent made such amount available to the Borrower to the date such amount is repaid to the Administrative Agent, at the interest rate applicable at the time to Loans comprising such Borrowing (in the case of the Borrower) and (in the case of a Lender), at the Federal Funds Rate (for the first two Business Days after which such amount has not been repaid), and thereafter at the interest rate applicable to Loans comprising such Borrowing.

  • Officers' and Compliance Certificates together with each delivery of financial statements of Lessee and its Subsidiaries pursuant to subdivisions (2) and (3) above after the Initial Borrowing Date, (a) an Officers' Certificate of Lessee stating that the signers have reviewed the terms of this Lease and have made, or caused to be made under their supervision, a review in reasonable detail of the transactions and condition of Lessee and its Subsidiaries during the accounting period covered by such financial statements and that such review has not disclosed the existence during or at the end of such accounting period, and that the signers do not have knowledge of the existence as at the date of such Officers' Certificate, of any condition or event that constitutes a Default or Lease Event of Default, or, if any such condition or event existed or exists, specifying the nature and period of existence thereof and what action Lessee has taken, is taking and proposes to take with respect thereto; and (b) a Compliance Certificate demonstrating in reasonable detail compliance during and at the end of the applicable quarterly and annual accounting periods with the restrictions contained in Section 7;

  • Officer’s Certificate as Evidence Except as otherwise provided in Section 7.01, whenever in the administration of the provisions of this Indenture the Trustee shall deem it necessary or desirable that a matter be proved or established prior to taking or omitting any action hereunder, such matter (unless other evidence in respect thereof be herein specifically prescribed) may, in the absence of gross negligence or willful misconduct on the part of the Trustee, be deemed to be conclusively proved and established by an Officer’s Certificate delivered to the Trustee, and such Officer’s Certificate, in the absence of gross negligence or willful misconduct on the part of the Trustee, shall be full warrant to the Trustee for any action taken or omitted by it under the provisions of this Indenture upon the faith thereof.

  • Indemnification of Trustees, Officers, etc Subject to the limitations, if applicable, hereinafter set forth in this Section 4, the Trust shall indemnify (from the assets of one or more Series to which the conduct in question relates) each of its Trustees, officers, employees and agents (including Persons who serve at the Trust's request as directors, officers or trustees of another organization in which the Trust has any interest as a shareholder, creditor or otherwise (hereinafter, together with such Person's heirs, executors, administrators or personal representative, referred to as a "Covered Person")) against all liabilities, including but not limited to amounts paid in satisfaction of judgments, in compromise or as fines and penalties, and expenses, including reasonable accountants' and counsel fees, incurred by any Covered Person in connection with the defense or disposition of any action, suit or other proceeding, whether civil or criminal, before any court or administrative or legislative body, in which such Covered Person may be or may have been involved as a party or otherwise or with which such Covered Person may be or may have been threatened, while in office or thereafter, by reason of being or having been such a Trustee or officer, director or trustee, except with respect to any matter as to which it has been determined that such Covered Person (i) did not act in good faith in the reasonable belief that such Covered Person's action was in or not opposed to the best interests of the Trust; or (ii) had acted with willful misfeasance, bad faith, gross negligence or reckless disregard of the duties involved in the conduct of such Covered Person's office; and (iii) for a criminal proceeding, had reasonable cause to believe that his or her conduct was unlawful (the conduct described in (i), (ii) and (iii) being referred to hereafter as "Disabling Conduct"). A determination that the Covered Person is entitled to indemnification may be made by (i) a final decision on the merits by a court or other body before whom the proceeding was brought that the Covered Person to be indemnified was not liable by reason of Disabling Conduct, (ii) dismissal of a court action or an administrative proceeding against a Covered Person for insufficiency of evidence of Disabling Conduct, or (iii) a reasonable determination, based upon a review of the facts, that the indemnitee was not liable by reason of Disabling Conduct by (a) a vote of a majority of a quorum of the Trustees who are neither "interested persons" of the Trust as defined in the 1940 Act nor parties to the proceeding (the "Disinterested Trustees"), or (b) an independent legal counsel in a written opinion. Expenses, including accountants' and counsel fees so incurred by any such Covered Person (but excluding amounts paid in satisfaction of judgments, in compromise or as fines or penalties), may be paid from time to time by one or more Series to which the conduct in question related in advance of the final disposition of any such action, suit or proceeding; provided that the Covered Person shall have undertaken to repay the amounts so paid to such Series if it is ultimately determined that indemnification of such expenses is not authorized under this Article VII and (i) the Covered Person shall have provided security for such undertaking, (ii) the Trust shall be insured against losses arising by reason of any lawful advances, or (iii) a majority of a quorum of the Disinterested Trustees, or an independent legal counsel in a written opinion, shall have determined, based on a review of readily available facts (as opposed to a full trial type inquiry), that there is reason to believe that the Covered Person ultimately will be found entitled to indemnification.

  • PAYMENT OF INDEBTEDNESS BY RELATED PERSONS Except as expressly provided in this Agreement, Sellers will cause all indebtedness owed to an Acquired Company by either Seller or any Related Person of either Seller to be paid in full prior to Closing.

  • Reliance, Etc Neither the Agent, the Issuing Bank, nor any of their respective Related Parties (for the purposes of this Section 7.2, collectively, the "Indemnified Parties") shall be liable for any action taken or omitted to be taken by any Indemnified Party under or in connection with this Agreement or the other Credit Documents, INCLUDING ANY INDEMNIFIED PARTY'S OWN NEGLIGENCE, except for any Indemnified Party's gross negligence or willful misconduct. Without limitation of the generality of the foregoing, the Agent and the Issuing Bank: (a) may treat the payee of any Note as the holder thereof until the Agent receives written notice of the assignment or transfer thereof signed by such payee and in form satisfactory to the Agent; (b) may consult with legal counsel (including counsel for the Borrower), independent public accountants, and other experts selected by it and shall not be liable for any action taken or omitted to be taken in good faith by it in accordance with the advice of such counsel, accountants, or experts; (c) makes no warranty or representation to any Bank and shall not be responsible to any Bank for any statements, warranties, or representations made in or in connection with this Agreement or the other Credit Documents; (d) shall not have any duty to ascertain or to inquire as to the performance or observance of any of the terms, covenants, or conditions of this Agreement or any other Credit Document on the part of the Credit Parties or to inspect the property (including the books and records) of the Credit Parties; (e) shall not be responsible to any Bank for the due execution, legality, validity, enforceability, genuineness, sufficiency, or value of this Agreement or any other Credit Document; and (f) shall incur no liability under or in respect of this Agreement or any other Credit Document by acting upon any notice, consent, certificate, or other instrument or writing (which may be by telecopier or telex) reasonably believed by it to be genuine and signed or sent by the proper party or parties.

  • Manager Officers’ Certificate The Representatives shall have received a certificate, dated such Closing Date, of the Chief Executive Officer and Chief Financial Officer of the Manager in which such officers shall state that: the representations and warranties of the Manager in this Agreement are true and correct; the Manager has complied with all agreements and satisfied all conditions on its part to be performed or satisfied hereunder at or prior to such Closing Date.

  • Officer’s Compliance Certificate At each time financial statements are delivered pursuant to Sections 7.1(a) or (b) and at such other times as the Administrative Agent shall reasonably request, an Officer’s Compliance Certificate.

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