Xxxxxxxxxx, T Sample Clauses

Xxxxxxxxxx, T. A.; Xxxxxxx, X.; Xxxxxx, X.; Xxxxx, X.; Xxxxxxx, X.; Xxxxx, X.;
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Xxxxxxxxxx, T. Xxxxxxxxx-Xxxxxxxxx, X.X., Xxxxx, O., Xxxxxxx, S., Xxxxxxx, A., Xxxxx, N., Xxxxxxx, G., Xxxxxxx, K., Xxxxxx, R., Xxxxxx, S. and Xxxxxx, G., 2017, May. BONSEYES: platform for open development of systems of artificial intelligence. In Proceedings of the computing frontiers conference (pp. 299-304).
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Xxxxxxxxxx, T. H. Xxx, V. A. Xxxxxxxx, On indirect representability of fourth order ordinary differential equation in form of Xxxxxxxx–Ostrogradsky equations, Ufa Mathematical Journal, 2023, Volume 15, Issue 3, 118–128 DOI: 10.13108/2023-15-3-118 Use of the all-Russian mathematical portal Xxxx-Xxx.Xx implies that you have read and agreed to these terms of use xxxx://xxx.xxxxxxx.xx/eng/agreement Download details: IP: 34.136.87.96 April 4, 2024, 17:28:43 XXXX 0000-0000 Ufa Mathematical Journal. Vol. 15. No 3 (2023). P. 118-128. doi:10.13108/2023-15-3-118 ON INDIRECT REPRESENTABILITY OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATION IN FORM OF XXXXXXXX-XXXXXXXXXXXX EQUATIONS
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Xxxxxxxxxx, T. H. Xxx, V.A. Xxxxxxxx, On indirect representability of fourth order ordinary differential equation in form of Xxxxxxxx-Xxxxxxxxxxxx equations.
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Xxxxxxxxxx, T. H. Xxx, V.A. Shokarev 2023. This publication has been partially supported by the RUDN University named after Xxxxxxx Xxxxxxx, project no. 002092-0-000 and by the Ministry of Science and Higher Education of the Russian Federation (megagrant agreement No. 000-00-0000-0000). Submitted April 26, 2022. 118 These issues are closely related to the inverse problem of the calculus of variations (IPCV) in the following statement: for a given equation, one needs to construct a functional such that its set of stationary points coincides with the set of solutions to this equation. There is a large number of works devoted to inverse problems of the calculus of variations: for ordinary differ- ential equations and partial differential equations [3], [4], [7], [9], [19], [20], [26], [27], operator equations [6], [21], [22], differential-difference equations [8], [17], [18], stochastic differential equations [23], [24], [25], fractional differential equations [1], [10], [14], [28]. In these works, nonlocal bilinear forms were mainly used to solve the IPCV. The representability of a given equation with a non-potential operator in the form of Xxxxxxxx equations can be a difficult problem. One of the ways for solving it is to use local bilinear forms. The main aim of the paper is to establish connection between variationality of a fourth order ordinary differential equation and Xxxxxxxx-Xxxxxxxxxxxx equations, i.e., to obtain the conditions of the indirect representability of the given equation in the form of the Lagrange- Ostrogradsky equation, to construct the corresponding functional-variational principle, to de- fine the variational structure of the considered equation and to apply the Ostrogradsky scheme [16] for the representation of this equation in the form of Xxxxxxxx-Xxxxxxxxxxxx equations. The method of constructing functionals developed in [3] is extended to a fourth order ordinary differential equation. Local bilinear forms play a significant role in our study. In what follows we use the notation and terminology of [3], [20]. Let 𝑈 , 𝑉 be real linear normed spaces. The following definition and theorem will be employed in what follows.
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Xxxxxxxxxx, T. I. (2020), “Sustainable development of domestic enterprises in modern economic conditions”, Vcheni zapysky TNU imeni V.I. Vernads'koho, vol. 31 (70), no. 2.
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Xxxxxxxxxx, T. (2000). Dietary change through African American churches: baseline results and program description of the eat for life trial. Journal of Cancer Educucation, 15(3), 156-163. 183. Xxxxxx, K., Xxxxxxx, V. N., & Xxxxxxx, X. X. (1995). Benefits and barriers to fruit and vegetable intake: relationship between attitudes and consumption. Journal of Nutrition Education, 27, 120-126. 184. Xxxxxxxxxx, X. X., Xxxxxx Sees, A., Xxxxxxxxx, L., Xxxxxxx, N., Xxxxx, X. X., Xxxxxxxxx, X. X. (2010). Higher Healthy Eating Index-2005 scores associated with reduced symptoms of depression in an urban population: findings from the Healthy Aging in Neighborhoods of Diversity Across the Life Span (HANDLS) study. Journal of the American Dietetic Association, 110(3), 383-389. doi: 10.1016/j.jada.2009.11.025 185. Xxxxxxx, X. X., Xxxxxxxx, X. X., Xxxxxxx, K., Xxxxxxx, R., & XxXxxxxx, J. (2000). Validity and utility of the PRIME-MD patient health questionnaire in assessment of 3000 obstetric-gynecologic patients: the PRIME-MD Patient Health Questionnaire Obstetrics-Gynecology Study. American Journal of Obstetetrics and Gynecology, 183(3), 759-769. 186. Xxxxxx, A., Xxxx, W., Klaiberg, A., & Braehler, E. (2006). Validity of the Brief Patient Health Questionnaire Mood Scale (PHQ-9) in the general population. General Hospital Psychiatry, 28(1), 71-77. doi: 10.1016/j.genhosppsych.2005.07.003 187. Kroenke, K., Xxxxxxx, X. X., & Xxxxxxxx, X. X. (2001). The PHQ-9: validity of a brief depression severity measure. Journal of General Internal Medicine, 16(9):606-613. 188. Xxxxx-Xxxx, A., Xxxxxxx-Xxxxxx, A., Penarrubia, M. T., Xxxxxx, E., & Xxxx, X. X. (2005). Assessing depression in primary care with the PHQ-9: can it be carried out over the telephone? Journal of General Internal Medicine, 20(8), 738-742. doi: 10.1111/j.1525-1497.2005.0144.x 189. Xxxxxx, D. R., Xxxx, X. X., Xxxxxxx, X. X., Xxxxx, P., & Xxxxxx, S. (1989). Reliability and validity of a short physical activity history: CARDIA and the Minnesota Heart Health Program. Journal of Cardpulmonary Rehabilitation 9, 448-459. 190. Xxxxxxxx, J., Bounds, W., & Xxxxxxx, C. (2009). Community health advisors' perceptions of the 2005 Dietary Guidelines and MyPyramid. Journal of Extension, 47(2). 191. Xxxxxx, X. X., Xxxxxx, E., Xxxxxxx, X.X., & XxXxxx, W. (2001). Comparative risk judgements among participants in the Diabetes Prevention Program (Abstract). Diabetes, 50:A397. 192. Xxxxxx, X. X., & Xxxxxx, J. (2004). Testing the barriers to healthy eatin...
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  • Xxxxxxxxxx, X Xxxxxx, and X.

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  • Xxxxxxxxx, Xx Xxxxxxx X. Xxxxxxxxx, Xx., Chief Executive Officer

  • Xxxxxxxx, X X. Xxxxxx, as Trustee .................. 00 Xxxxx Xxxxxx, Xxxxxx, Xxxxxxxxxxxxx 00000

  • Xxxxxxxxxxx 12.1 In addition to the specific rights of termination set out in the Clause "The Publisher's Responsibilities" and the Clause "The Author's Responsibilities", either Party shall be entitled to terminate this Agreement forthwith by notice in writing to the other Party if the other Party commits a material breach of the terms of the Agreement which cannot be remedied or, if such breach can be remedied, fails to remedy such breach within 45 days of being given written notice to do so.

  • Xxxxxxxx Xxxxxxxxx Xx xxxvided for in the Agreement and Declaration of Trust of the various Funds, under which the Funds are organized as unincorporated trusts, the shareholders, trustees, officers, employees and other agents of the Fund shall not personally be found by or liable for the matters set forth hereto, nor shall resort be had to their private property for the satisfaction of any obligation or claim hereunder.

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  • Xxxxxxxx, Xx (Xxxxxxx Xxxxxxxx).

  • Xxxxxxxxxxxx This Agreement may be executed in one or more counterparts, each of which shall be deemed an original, but all of which together shall constitute one and the same instrument.

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