y can be written in a unique way as a linear combination of X definition

y can be written in a unique way as a linear combination of X means that y is a linear combination of X and, for all families (ax)x∈X and (cx)x∈X of elements of R such

Related to y can be written in a unique way as a linear combination of X

  • Permitted Transaction means any transaction involving (i) a Swap that is not a Required Transaction or (ii) a Required Transaction that is a component of a Covered Package Transaction.

  • Permitted Transactions has the meaning set forth in Section 13(B).

  • Credit Available for Export Transactions means a designation of credit to be used for Export Transactions that is allocated by each Market Participant from its Credit Available for Virtual Transactions, and which reduces the Market Participant's Credit Available for Virtual Transactions accordingly. Credit Available for Virtual Transactions:

  • Business Combination Date means the date upon which a Business Combination is consummated.

  • Business Combination means any merger, capital stock exchange, asset acquisition, stock purchase, reorganization or other similar business combination with one or more businesses, involving the Company.

  • UNE Combination means a combination of two (2) or more Unbundled Network Elements that were or were not previously combined or connected in Qwest's network, as required by the FCC, the Commission or this Agreement.

  • Restricted Transaction means any of the following transactions or transmit- tals involving any credit, funds, instru- ment, or proceeds that the Act pro- hibits any person engaged in the busi- ness of betting or wagering (which does not include the activities of a financial transaction provider, or any inter- active computer service or tele- communications service) from know- ingly accepting, in connection with the participation of another person in un- lawful Internet gambling—

  • Credit Available for Virtual Transactions means the Market Participant’s Working Credit Limit for Virtual Transactions calculated on its credit provided in compliance with its Peak Market Activity requirement plus available credit submitted above that amount, less any unpaid billed and unbilled amounts owed to PJMSettlement, plus any unpaid unbilled amounts owed by PJMSettlement to the Market Participant, less any applicable credit required for Minimum Participation Requirements, FTRs, RPM activity, or other credit requirement determinants as defined in Tariff, Attachment Q.

  • Bundled transaction means the purchase of 2 or more distinct and identifiable products, except real property and services to real property, where the products are sold for a single nonitemized price. A bundled transaction does not include the sale of any products in which the sales price varies, or is negotiable, based on the selection by the purchaser of the products included in the transaction. As used in this subdivision:

  • Similar Business means (1) any business conducted or proposed to be conducted by the Borrower or any of its Restricted Subsidiaries on the Closing Date, and any reasonable extension thereof, or (2) any business or other activities that are reasonably similar, ancillary, incidental, complementary or related to, or a reasonable extension, development or expansion of, the businesses in which the Borrower and its Restricted Subsidiaries are engaged or propose to be engaged on the Closing Date.

  • Business Combination Agreement shall have the meaning given in the Recitals hereto.

  • Business Combination Transaction means:

  • Permitted Holdings Debt has the meaning assigned to such term in Section 6.01(a)(xviii).

  • Performing Non-Cash Pay Mezzanine Investments means Performing Mezzanine Investments other than Performing Cash Pay Mezzanine Investments.

  • Permitted Affiliate Transactions means the following:

  • Roll-Up Transaction means a transaction involving the acquisition, merger, conversion or consolidation either directly or indirectly of the Company and the issuance of securities of a Roll-Up Entity to the Shareholders. Such term does not include:

  • Disaffiliation Date means the Closing Date and have that additional meaning set out in Section 2.4 below.

  • Qualified Transaction means (a) any sale or other transfer of, or any release of Liens relating to, any Accounts or any books or records relating thereto, so long as (i) the Borrower delivers to the Agent (A) at least five Business Days prior to the proposed closing date of such transaction, a draft Borrowing Base Certificate prepared on a pro forma basis after giving effect to such transaction and (B) on the closing date of such transaction, a final Borrowing Base Certificate prepared on a pro forma basis after giving effect to such transaction and (ii) if the aggregate Credit Exposures of all Lenders exceeds the Borrowing Base in effect on the closing date of such transaction after giving effect thereto, the Borrower prepays Loans and pays cash to the Agent as required by Section 2.10(c) or (b) any other sale or other transfer of, or any other release of Liens relating to, any Accounts or any books or records relating thereto, so long as (i) the aggregate consideration received with respect to the transaction pursuant to which such Accounts are sold or otherwise transferred does not exceed $10,000,000 and (ii) the aggregate book value of Eligible Accounts sold or otherwise transferred pursuant to such transaction does not exceed $1,000,000; provided that no Accounts sold or transferred pursuant to the foregoing clause (a) or (b) shall be used in any securitization, factoring or similar financing program of the Borrower or any of its Subsidiaries.

  • Business owned by a person with a disability means a business concern that is at least 51% owned by one or more persons with a disability and the management and daily business operations of which are controlled by one or more of the persons with disabilities who own it. A not- for-profit agency for persons with disabilities that is exempt from taxation under Section 501 of the Internal Revenue Code of 1986 is also considered a "business owned by a person with a disability".

  • Permitted Transfers has the meaning set forth in Section 4.2.17(d).

  • Permitted Affiliate means with respect to any Person (a) any Person that directly or indirectly controls such Person, and (b) any Person which is controlled by or is under common control with such controlling Person. As used in this definition, the term “control” of a Person means the possession, directly or indirectly, of the power to vote eighty percent (80%) or more of any class of voting securities of such Person or to direct or cause the direction of the management or policies of a Person, whether through the ownership of voting securities, by contract or otherwise.

  • Significant Transaction means a transaction which meets any one of the tests below:

  • Recapitalization Event means any event of share combination or subdivision, distribution of bonus shares or any other similar reclassification, reorganization or recapitalization of the Company’s share where the shareholders retain their proportionate holdings in the Company.

  • Initial Business Combination means the acquisition by the Company, whether through a merger, share exchange, asset acquisition, stock purchase, reorganization, recapitalization or similar type of transaction, of one or more business or entities (“Target Business” or “Target Businesses”), whose collective fair market value is equal to at least 80% of the balance in the Trust Account and resulting in ownership by the Company or the holders of IPO Shares of at least 51% of the voting equity interests of the Target Business or Businesses or all or substantially all of the assets of the Target Business or Businesses;

  • Related Futures or Options Exchange for the Index means an exchange or quotation system where trading has a material effect (as determined by the Calculation Agent) on the overall market for futures or options contracts relating to the Index.

  • Public Offering means the sale in an underwritten public offering registered under the Securities Act of equity securities of the Company or a corporate successor to the Company.