— derivation of characteristic equationof a specified square matrix

... The Alvev natural language toola pro~eet grammar large computationa~ grammar of Engliah, Lanc~ter Papers in Linguistics, Department of Linguistics, University of Lancaster l~vfichieis, A. rchibal ... dictionary of variable accuracy and consistency Practical natural language applications require vocabularies substantially larger than those typically developed for theoretical or demonstration purposes ... the majority of ~[]~.Ds As indicated above, LDOCE appears to be an exception to this generai]sation, because it employs a system of grammatical tagging of major syntactic classes, offering detailed...

Ngày tải lên: 24/03/2014, 02:20

... accounts totals Finally, a SAM always has a matrix format 72 because of its emphasis on the identification of source and use of all transactions Summarizing, a SAM in our view serves as an alternative ... that a SAM is meant to fit into the existing national statistical and planning infrastructure That is to say that, first, a SAM is typically built on the basis of data which are already available ... current account of the national balance of payments (in case of a surplus this amount appears with a negative sign); from national institutions capital account: \ purchases of existing non-financial...

Ngày tải lên: 06/03/2014, 21:20

... −Vcap −Vcap Vcap 2Vcap Vcap −Vcap −2Vcap −Vcap −2Vcap −Vcap Vcap 2Vcap Vcap Vcap 2Vcap Vcap −Vcap −2Vcap −Vcap Vcap 2Vcap −2Vcap 2Vcap 2Vcap −2Vcap −2Vcap 2Vcap −2Vcap −2Vcap −2Vcap 2Vcap −2Vcap ... Phase C -Vcap+ Phase A vCA Phase a Vab = Vcap VAB = -Vcap VCA = Vcap Phase B Phase b VBC = 0V Vbc = 0V Vca = -Vcap -Vcap+ Phase A Phase a Vab = Vcap VAB = -Vcap VCA = Vcap Phase B Vca = 0V Phase ... Phase A Phase a ap+ -Vc VAB = V Vab = Vcap Phase B Phase b Phase c Phase C -Vcap+ Phase A Phase a VAB = -Vcap VCA = Vcap Phase B Vab = Vcap +Vcap+V VBC = 0V +V Phase C +Vcap-Vcap+ Phase A + Phase...

Ngày tải lên: 13/05/2014, 00:55

... d(5¢-AACAACGCAGCTGGGCTCTG GAACCAT), ECF -A1 41Q d(5¢-TCAACCTCTAACCAG GCTACTCCGCTG) ECM-G77Q d(5¢-AACAACGCTGG CCAGCACGCTAACCAC) and ECM-Q14 6A d(5¢-TCT ACTGCTAACGCGGATTCTCCGCTG) following the manufacturer’s ... prosthetic metal Arch Biochem Biophys 313, 296–303 Yamakura, F., Rardin, R.L., Petsko, G .A. , Ringe, D., Hiraoka, B.Y., Nakayama, K., Fujimura, T., Taka, H & Murayama, K (1998) Inactivation and destruction ... human manganese superoxide dismutase: effects on structure, stability, and catalysis Biochemistry 39, 7131– 7137 31 Hiraoka, B.Y., Yamakura, F., Sugio, S & Nakayama, K (2000) A change of the metal-specific...

Ngày tải lên: 21/02/2014, 01:21

... the largest Ampitheater in thecountry, the Garden Theater as well as the Roof Garden, concert Hall, cafe andeven an immense swimming pool The new Madison Square Garden was animmediate sensation ... managed to raise million dollars for the new Gardenaway from Madison Square million dollars in 1925 is alot of money, peopleobviously has a true idea of the worth the Garden had to the city as ... Pennsylvaniastation As of now the new Madison Square Garden stands as the city's lonesports arena It houses the New York Rangers and the New York Knicks It is asuperb arena in terms of technological...

Ngày tải lên: 02/04/2014, 18:00

... Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach Hassan Azadi Kenary1 , Choonkil Park∗2 , Hamid Rezaei1 and Sun Young Jang3 Department ... Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea ∗ Corresponding author: baak@hanyang.ac.kr Email addresses: HAK: azadi@mail.yu.ac.ir HR: rezaei@mail.yu.ac.ir SYJ: jsym@ulsan.ac.kr ... Isac, G, Rassias, ThM: Stability of Functional Equations in Several Variables Birkh¨user, a Basel (1998) [23] Jung, S: Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis...

Ngày tải lên: 18/06/2014, 22:20

... Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach Hassan Azadi Kenary1 , Choonkil Park∗2 , Hamid Rezaei1 and Sun Young Jang3 Department ... Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea ∗ Corresponding author: baak@hanyang.ac.kr Email addresses: HAK: azadi@mail.yu.ac.ir HR: rezaei@mail.yu.ac.ir SYJ: jsym@ulsan.ac.kr ... Isac, G, Rassias, ThM: Stability of Functional Equations in Several Variables Birkh¨user, a Basel (1998) [23] Jung, S: Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis...

Ngày tải lên: 20/06/2014, 04:20

... equation and a Jensen-quadratic equation Abstr Appl Anal 2007 (2007) Article ID 45179 Găvruta, P: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings J Math Anal Appl ... Bae and Park Journal of Inequalities and Applications 2011, 2011:82 http://www.journalofinequalitiesandapplications.com/content/2011/1/82 Page of for all x, y, z, w Î X Thus, the mapping F satisfies ... multidimensional functional equation having quadratic forms as solutions J Inequal Appl 2007 (2007) Article ID 24716 11 Rassias, TM: On the stability of linear mappings in Banach spaces Proc Amer Math Soc 72,...

Ngày tải lên: 20/06/2014, 22:20

... (2002) Kenary, HA: The probabilistic stability of a Pexiderial functional equation in random normed spaces Rend Del Circolo Math Di Palermo (to appear) Kenary, HA, Shafaat, Kh, Shafei, M, Takbiri, ... details Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran 2Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea 3Department of Mathematics, ... |r| + |s| A field K is called a valued field if K carries a valuation The usual absolute values of ℝ and ℂ are examples of valuations In 1897, Hensel [14] has introduced a normed space which...

Ngày tải lên: 20/06/2014, 22:20

... h and H = H □ Footnote This work was partially supported by the National Science Council, Taiwan, ROC Author details Department of Mathematics, Tamkang University, No.151, Yingzhuan Rd., Danshui ... New Taipei City 25137, Taiwan, PR China 2Department of Electronic Engineering, China University of Science and Technology, No.245, Academia Rd., Sec 3, Nangang District, Taipei City 115, Taiwan, ... China Authors’ contributions Both authors contributed to each part of this work equally and read and approved the final version of the manuscript Competing interests The authors declare that they...

Ngày tải lên: 20/06/2014, 22:20

... Jin and Lee Journal of Inequalities and Applications 2011, 2011:70 http://www.journalofinequalitiesandapplications.com/content/2011/1/70 Page of 12 We call a solution of (1.1) an additive map and ... called a mixed type functional equation We say a solution of (1.3) a quadratic-additive mapping In 2002, Jung [24] obtained a stability of the functional equation (1.3) by taking and composing an additive ... >0, the mapping f is called a fuzzy q-almost quadraticadditive mapping, if Jin and Lee Journal of Inequalities and Applications 2011, 2011:70 http://www.journalofinequalitiesandapplications.com/content/2011/1/70...

Ngày tải lên: 20/06/2014, 22:20

... Khodaei, H: On the generalized Hyers-Ulam-Rassias stability of quadratic functional equations Abst Appl Anal 2009 (2009) Article ID 923476 13 Ravi, K, Rassias, JM, Arunkumar, M, Kodandan, R: Stability ... true quadratic mapping near an approximately quadratic mapping Theorem 3.2 Assume that a mapping f : X ® Y satisfies f(0) = and inequality (3.3) Then there exists a unique quadratic mapping Q ... for a class of functional equations Stochastica 4, 23–30 (1980) doi:10.1080/17442508008833155 Găvruta, P: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings...

Ngày tải lên: 20/06/2014, 22:20

... stability and oscillation of a family of difference equations J Math Anal Appl 294, 614–620 (2004) doi:10.1016/j.jmaa.2004.02.039 Sun, T., Xi, H.: Global attractivity for a family of nonlinear ... various equation listed above suggests that the same potentially holds for similar rational equations We can deduce the following natural generalization of (1.1) and (1.4) Corollary Let s Î N+ and Zs ... doi:10.1016/j.aml.2005.10.014 doi:10.1186/1687-1847-2011-36 Cite this article as: Shi et al.: Dynamic behavior of a nonlinear rational difference equation and generalization Advances in Difference Equations...

Ngày tải lên: 20/06/2014, 22:20

... interpretation, and modification of the initial version of this study Author details Department of Differential Equation, Institute of Mathematics and Mechanics-Azerbaijan National Academy of Science, ... equations Nauk Dumka, Kiev, 284 (1984) (Russian) 31 Yakubov, S, Yakubov, Ya: Differential-Operator Equations Ordinary and Partial Differential Equations Chapman and Hall/ CRC, Boca Raton, 568 ... regularized trace of the considered problem will be studied It is clear that because of the appearance of an eigenvalue parameter in the boundary condition at the end point, the operator associated...

Ngày tải lên: 21/06/2014, 02:20

... is globally asymptotically stable if x is ¯ ¯ locally stable and x is also a global attractor of Equation ¯ (5) The equilibrium point x of Equation is unstable if x is not locally stable ¯ ¯ Definition ... equilibrium point x = of ¯ Equation 15 is locally asymptotically stable with initial data x0 = 1, x1 = 1.2 Authors’ contributions Xiao Qian carried out the theoretical proof and drafted the manuscript Shi ... doi:10.1186/1687-1847-2011-6 Cite this article as: Qian and Qi-hong: Qualitative behavior of a rational difference equation Advances in Difference Equations 2011 2011:6 Page of ...

Ngày tải lên: 21/06/2014, 03:20

... stability of the linear transformation in Banach spaces,” Journal of the Mathematical Society of Japan, vol 2, pp 64–66, 1950 T M Rassias, “On the stability of the linear mapping in Banach spaces,” ... Theory and Applications The paper of Rassias has provided a lot of influence in the development of what we called the generalized Hyers-Ulam-Rassias stability of functional equations In 1990, Rassias ... satisfy Hyers-Ulam stability,” Proceedings of the American Mathematical Society, vol 114, no 4, pp 989–993, 1992 P Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately...

Ngày tải lên: 21/06/2014, 07:20

... an alternative functional equation,” Journal of Mathematical Analysis and Applications, vol 339, no 1, pp 303–311, 2008 19 B Batko, “On approximation of approximate solutions of Dhombres’ equation,” ... transformations,” Bulletin of the American Mathematical Society, vol 57, pp 223–237, 1951 T M Rassias, “On the stability of the linear mapping in Banach spaces,” Proceedings of the American Mathematical ... and Applications, vol 276, no 2, pp 747–762, 2002 15 J M Rassias and M J Rassias, “On the Ulam stability of Jensen and Jensen type mappings on restricted domains,” Journal of Mathematical Analysis...

Ngày tải lên: 21/06/2014, 07:20

... Acknowledgment S Tersian is thankful to Department of Mathematical Analysis at University of Santiago de Compostela, Spain, where a part of this work was prepared during his visit A Cabada partially supported ... papers of Agarwal et al 10 , Cabada et al 11 , a Chen and Fang 12 , Fang and Zhao 13 , Jiang and Zhou 14 , Ma and Guo 15 , Mih˘ ilescu et al 16 , Krist´ ly et al 17 a Along the paper, given ... a class of second order ´ differential equations,” Journal of Mathematical Analysis and Applications, vol 240, no 1, pp 163–173, 1999 W Omana and M Willem, “Homoclinic orbits for a class of Hamiltonian...

Ngày tải lên: 21/06/2014, 11:20

... help, careful reading and editing, valuable comments and suggestions References R P Agarwal, Difference Equations and Inequalities: Theory, Methods, and Application, vol 228 of Monographs and Textbooks ... R P Agarwal and S R Grace, “Oscillation of higher-order nonlinear difference equations of neutral type,” Applied Mathematics Letters, vol 12, no 8, pp 77–83, 1999 S S Cheng and W T Patula, “An ... in Pure and Applied Mathematics, Marcel Dekker, New York, NY, USA, 2nd edition, 2000 R P Agarwal, S R Grace, and D O’Regan, Oscillation Theory for Difference and Functional Differential Equations,...

Ngày tải lên: 21/06/2014, 11:20

... additive mappings,” Journal of Mathematical Analysis and Applications, vol 184, no 3, pp 431–436, 1994 P Gavruta, “An answer to a question of Th M Rassias and J Tabor on mixed stability of mappings,” ... “Stability of a mixed type additive, quadratic, cubic and quartic functional equation,” in Nonlinear Analysis and Variational Problems, P M Pardalos, Th M Rassias, and A A Khan, Eds., Springer Optimization ... stability of mappings,” Journal of Mathematical Analysis and Applications, vol 261, no 2, pp 543–553, 2001 13 P Gavruta, “On the Hyers-Ulam-Rassias stability of the quadratic mappings,” Nonlinear Functional...

Ngày tải lên: 21/06/2014, 18:20