t M— Sample Clauses

t M—. В работе [13] многочлен комплексного расстояния узла T2n задан рекуррент- ным соотношением. Теорема 3.2 дает явную формулу для этого многочлена. Он представляет собой определяющий многочлен алгебраического множества R(⇡1(X2n)) для набора образующих, заданного в предложении 2.1, и с коорди- натами ⌘(s), ⌘(t) в SL(2, C). Вычисления из [13] получаются, если положить M = ei↵/2 и произвести замену координат B = cos(↵/2) и V = ch ⇢. Теорема 3.1 (см. [13; теорема 3.1]). При B = cos(↵/2) V = ch ⇢ является корнем многочлена комплексного расстояния P2n = P2n(V, B), который задан рекуррентным соотношением P2n (4B4 — 8B2 + 4)V 2 — 4B4 + 8B2 — 2 P 2(n+1) — P 2(n+2) при n< —1 = ( (4B4 — 8B2 + 4)V 2 — 4B4 + 8B2 — 2 P2(n—1) — P2(n—2) при n> 1, с начальными условиями P—2(V, B)= (2B2 — 2)V + 2B2 — 1, P0(V, B)= 1, P2(V, B)= (4B4 — 8B2 + 4)V 2 + (2 — 2B2)V — 4B4 + 6B2 — 1.
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Related to t M—

  • Securities Purchase Agreement This Agreement and the transactions contemplated hereby have been duly and validly authorized by the Company, this Agreement has been duly executed and delivered by the Company and this Agreement, when executed and delivered by the Company, will be, a valid and binding agreement of the Company enforceable in accordance with its terms, subject as to enforceability to general principles of equity and to bankruptcy, insolvency, moratorium, and other similar laws affecting the enforcement of creditors’ rights generally.

  • Authorization Purchase and Sale Terms of the Private Placement Warrants A. Authorization of the Private Placement Warrants. The Company has duly authorized the issuance and sale of the Private Placement Warrants to the Purchaser.

  • Trustee Dealings with the Issuer The Trustee under the Indenture, in its individual or any other capacity, may become the owner or pledgee of Notes and may otherwise deal with and collect obligations owed to it by the Issuer or its Affiliates and may otherwise deal with the Issuer or its Affiliates with the same rights it would have if it were not Trustee.

  • Trustee Dealings with the Issuers The Trustee under the Indenture, in its individual or any other capacity, may become the owner or pledgee of Notes and may otherwise deal with and collect obligations owed to it by the Issuers or their Affiliates and may otherwise deal with the Issuers or their Affiliates with the same rights it would have if it were not Trustee.

  • Certificate of Selling Shareholders At Closing Time, the Representatives shall have received a certificate of an Attorney-in-Fact on behalf of each Selling Shareholder, dated as of Closing Time, to the effect that (i) the representations and warranties of each Selling Shareholder contained in Section 1(b) hereof are true and correct in all respects with the same force and effect as though expressly made at and as of Closing Time and (ii) each Selling Shareholder has complied in all material respects with all agreements and all conditions on its part to be performed under this Agreement at or prior to Closing Time.

  • Lost Shareholders GFS shall perform such services as are required in order to comply with Rules 17a-24 and 17Ad-17 (the “Lost Shareholder Rules”) of the Securities Exchange Act of 1934, including, but not limited to, those set forth below. GFS may, in its sole discretion, use the services of a third party to perform some of or all such services.

  • Acknowledgment Regarding Purchasers’ Purchase of Shares The Company acknowledges and agrees that each of the Purchasers is acting solely in the capacity of an arm’s length purchaser with respect to the Transaction Documents and the transactions contemplated thereby. The Company further acknowledges that no Purchaser is acting as a financial advisor or fiduciary of the Company (or in any similar capacity) with respect to the Transaction Documents and the transactions contemplated thereby and any advice given by any Purchaser or any of their respective representatives or agents in connection with the Transaction Documents and the transactions contemplated thereby is merely incidental to the Purchasers’ purchase of the Shares. The Company further represents to each Purchaser that the Company’s decision to enter into this Agreement and the other Transaction Documents has been based solely on the independent evaluation of the transactions contemplated hereby by the Company and its representatives.

  • Authorization Purchase and Sale Terms of the Sponsor Warrants A. Authorization of the Sponsor Warrants. The Company has duly authorized the issuance and sale of the Sponsor Warrants to the Purchaser.

  • Access to Shareholder List Shareholders of record may apply to the Trustees for assistance in communicating with other shareholders for the purpose of calling a meeting in order to vote upon the question of removal of a Trustee. When ten or more shareholders of record who have been such for at least six months preceding the date of application and who hold in the aggregate shares having a net asset value of at least $25,000 or at least 1% of the outstanding shares, whichever is less, so apply, the Trustees shall within five business days either:

  • Company to Provide Copy of the Prospectus in Form That May be Downloaded from the Internet If requested by the Representatives, the Company shall cause to be prepared and delivered, at its expense, within one business day from the effective date of this Agreement, to the Representatives an “electronic Prospectus” to be used by the Underwriters in connection with the offering and sale of the Offered Shares. As used herein, the term “electronic Prospectus” means a form of Time of Sale Prospectus, and any amendment or supplement thereto, that meets each of the following conditions: (i) it shall be encoded in an electronic format, satisfactory to the Representatives, that may be transmitted electronically by the Representatives and the other Underwriters to offerees and purchasers of the Offered Shares; (ii) it shall disclose the same information as the paper Time of Sale Prospectus, except to the extent that graphic and image material cannot be disseminated electronically, in which case such graphic and image material shall be replaced in the electronic Prospectus with a fair and accurate narrative description or tabular representation of such material, as appropriate; and (iii) it shall be in or convertible into a paper format or an electronic format, satisfactory to the Representatives, that will allow investors to store and have continuously ready access to the Time of Sale Prospectus at any future time, without charge to investors (other than any fee charged for subscription to the Internet as a whole and for on-line time). The Company hereby confirms that it has included or will include in the Prospectus filed pursuant to XXXXX or otherwise with the Commission and in the Registration Statement at the time it was declared effective an undertaking that, upon receipt of a request by an investor or his or her representative, the Company shall transmit or cause to be transmitted promptly, without charge, a paper copy of the Time of Sale Prospectus.

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