... where m = ** for ** Case and m = ** for ** Case ** The ** ** interval ** ** enclosures ** ** for ** all ** state ** variables and ** the ** initial approximations xapp,1 (t) and xapp,2 (t) are shown in Fig In ** the ** considered time span, ** the ** improved ... to ** the ** case ** of ** uncertain initial states to present ** the ** solver VAL E NC IA-IVP It aims at calculating tight ** enclosures ** [xencl (t)] ** for ** ** the ** unknown exact range [x (t)] ** of ** all reachable states ** for ** ... Enclosure ** of ** ** the ** second ** state ** variable Figure 2: ** Interval ** ** enclosures ** ** for ** ** the ** ** state ** variables ** of ** ** the ** simple pendulum (solid lines ** for ** Case and dashed lines ** for ** Case 2) together with both initial approximations...

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... depends on ** the ** error term E(t) Conclusion This paper proposes ** a ** ** combination ** ** of ** ** the ** ** identification ** ** algorithm ** ** and ** ** the ** ** modal ** ** superposition ** ** method ** ** for ** ** feedback ** ** active ** ** control ** ** of ** ** incomplete ** ** measured ** ** systems ** ... original ** identification ** ** algorithm ** is ** the ** requirement ** of ** ** the ** knowledge ** of ** entire state vector x(t) ** Combination ** ** of ** ** the ** ** identification ** ** algorithm ** ** and ** ** the ** ** modal ** ** superposition ** ** method ** ** The ** ** incomplete ** measurement ... illustrate ** the ** ** algorithm ** ** The ** effects ** of ** ** the ** time delay ** and ** ** the ** location ** of ** sensor are considered Acknowledgements ** The ** paper is based on ** the ** talk given at ** the ** Conference on Mathematics, Mechanics, and...

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... original ** identification ** ** algorithm ** is ** the ** requirement ** of ** ** the ** knowledge ** of ** entire state vector x(t) ** Combination ** ** of ** ** the ** ** identification ** ** algorithm ** ** and ** ** the ** ** modal ** ** superposition ** ** method ** ** The ** ** incomplete ** measurement ... depends on ** the ** error term E(t) Conclusion This paper proposes ** a ** ** combination ** ** of ** ** the ** ** identification ** ** algorithm ** ** and ** ** the ** ** modal ** ** superposition ** ** method ** ** for ** ** feedback ** ** active ** ** control ** ** of ** ** incomplete ** ** measured ** systems ... illustrate ** the ** ** algorithm ** ** The ** effects ** of ** ** the ** time delay ** and ** ** the ** location ** of ** sensor are considered Acknowledgements ** The ** paper is based on ** the ** talk given at ** the ** Conference on Mathematics, Mechanics, and...

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... OPQ approach and ﬁnally concludes ** the ** paper ** Research ** Methods ** for ** ** Quality ** ** of ** ** Experience ** Evaluation 2.1 Psychoperceptual Evaluation Methods Psychoperceptual ** quality ** evaluation is ** a ** ** method ** ** for ** examining ... ** quality ** with ** the ** help ** of ** ** a ** set ** of ** ** quality ** attributes All methods assume that perceived ** quality ** is ** the ** result ** of ** ** a ** combination ** of ** several attributes and that these attributes can be rated by ** a ** ... Identiﬁcation ** of ** ** the ** Acceptance threshold Bars show means and standard deviation 12 5.1.2 Satisfaction with Overall ** Quality ** ** The ** test variables had signiﬁcant eﬀect on ** the ** overall ** quality ** when averaged...

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... Diﬀerential Equations, Yale University Press, New Haven, Conn, USA, 1923 X T Xiong and C L Fu, “Two approximate methods ** of ** ** a ** ** Cauchy ** ** problem ** ** for ** ** the ** ** Helmholtz ** equation,” Computational & Applied Mathematics, ... quasi-reversibility ** regularization ** ** method ** ** for ** ** a ** ** Cauchy ** ** problem ** ** of ** ** the ** ** Helmholtz ** equation,” Journal ** of ** Computational and Applied Mathematics, vol 233, no 8, pp 1969–1979, 2010 12 L Eld´ n and F Berntsson, **Spectral ** ... **Modiﬁed ** ** regularization ** ** method ** ** for ** ** the ** ** Cauchy ** ** problem ** ** of ** ** the ** ** Helmholtz ** equation,” Applied Mathematical Modelling, vol 33, no 5, pp 2334–2348, 2009 11 ** A ** L Qian, X T Xiong, and Y J Wu, “On ** a ** quasi-reversibility...

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... ** and ** Christy’s previous publication (73), 117 4.4 ** Surface ** Plasmon Polariton Assisted ** Surface ** ** Enhanced ** ** Raman ** Scattering on Ultrasmooth Metal ** Surface ** ** The ** theory ** for ** an ** enhanced ** field near ** a ** metal ... distance ** of ** ** the ** center ** of ** ** the ** cavity ** to ** ** the ** ** surface ** is h ** The ** major ** and ** minor axis ** of ** ** the ** cavity are denoted ˆ as ** a ** ** and ** b respectively ** a ** y -axis is pointing perpendicularly out ** of ** ** the ** image plane ... from ** the ** ** surface ** rather than propagating away Inside ** the ** metal (i = ** 2)** , on ** the ** other hand, k z ** of ** ** the ** SPP will v possess ** a ** negative imaginary part (see Eqn ** and ** 7), which suggests that ** the ** E2 field...

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... Theory ** of ** ** Enhanced ** ** Raman ** Scattering ** and ** ** its ** Experimental Verifications 2 **.1 ** General Theory ** of ** ** Raman ** Scattering ** 13** 2.2 ** Enhanced ** ** Raman ** Scattering ** 13** 2.2 **.1 ** Chemical ** Raman ** Enhancement ** 14** 2.2.2 Electromagnetic ... Schematic diagram ** of ** SNOM system ** for ** phase measurements ** 17** 0 ** 17** 1 Fig ** 15** ** A ** typical AFM ** and ** SNOM mappings ** of ** ** a ** ** 10** 0-nm ** nano-** cavity substrate with cavitysurface distance ** of ** **(a ** ** and ** b) ** 10** nm, ** and ** (c ** and ** d) ... ** A ** ** Method ** ** for ** ** 3D ** ** Nano-** ** focusing ** ** of ** ** Optical ** ** Energy ** ** and ** ** its ** ** Application ** ** to ** ** Surface ** ** Enhanced ** ** Raman ** ** Spectroscopic ** ** Study ** by Kiang Wei Kho SUBMITTED IN PARTIAL FULFILLMENT ** OF ** ** THE ** REQUIREMENTS ** FOR ** THE...

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... untagged ** word1** - ** word2** pair (W1 - W2) OUTPUT: ranking the senses ** of ** one ** word ** PROCEDURE: STEP Form a similarity list ]or each ** sense ** ** of ** one ** of ** the words Pick one ** of ** the words, say W2, and using WordNet, ... using WordNet, form a similarity list ** for ** each ** sense ** ** of ** t h a t ** word ** ** For ** this, use the words from the synset ** of ** each ** sense ** and the words from the h y p e r n y m synsets Consider, ** for ** example, ... Contextual ranking ** of ** ** word ** senses Since the Internet contains the largest collection ** of ** texts electronically stored, we use the Internet as a source ** of ** corpora ** for ** ranking the senses ** of ** the words 3.1...

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... ** for ** ** nonexpansive ** ** mappings,** ” Journal ** of ** Mathematical Analysis ** and ** Applications, vol 298, no 1, pp 279–291, 2004 G Marino ** and ** H.-K Xu, **A ** general ** iterative ** ** method ** ** for ** ** nonexpansive ** ** mappings ** ** in ** ** Hilbert ** ... ** Hilbert ** spaces,” Journal ** of ** Mathematical Analysis ** and ** Applications, vol 318, no 1, pp 43–52, 2006 Y Yao, **A ** general ** iterative ** ** method ** ** for ** ** a ** ﬁnite ** family ** ** of ** ** nonexpansive ** ** mappings,** ” Nonlinear Analysis: ... S H Wang, G Marino, ** and ** F H Wang, **Strong ** ** convergence ** theorems ** for ** ** a ** ** generalized ** ** equilibrium ** problem with ** a ** relaxed monotone mapping ** and ** ** a ** countable ** family ** ** of ** ** nonexpansive ** ** mappings ** ** in ** ** a ** hilbert...

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... ** and ** Suantai introduced ** a ** ** new ** mapping, called Kmapping, ** for ** ﬁnding ** a ** common ﬁxed point ** of ** ** a ** ﬁnite ** family ** ** of ** ** nonexpansive ** ** mappings ** ** For ** ** a ** ﬁnite ** family ** ** of ** ** nonexpansive ** ** mappings ** {Ti }N1 ** and ** sequence ... Proceedings ** of ** the American Mathematical Society, vol 4, pp 506–510, 1953 S Reich, “Weak convergence theorems ** for ** ** nonexpansive ** ** mappings ** ** in ** Banach ** spaces,** ” Journal ** of ** Mathematical Analysis ** and ** Applications, ... ** for ** ** a ** ﬁnite ** family ** ** of ** ** nonexpansive ** ** mappings ** ** and ** applications,” Indian Journal ** of ** Mathematics, vol 41, no 3, pp 435–453, 1999 W Takahashi ** and ** K Shimoji, “Convergence theorems ** for ** ** nonexpansive ** mappings...

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... Aoyama, Y Kimura, W Takahashi, and M Toyoda, **Approximation ** ** of ** ** common ** ﬁxed points ** of ** ** a ** countable family ** of ** nonexpansive mappings in ** a ** Banach space,” Nonlinear Analysis: Theory, Methods & Applications, ... optimization related areas including mathematical programming, complementarity, ** variational ** inequalities, optimal control, mathematical economics, equilibria, game theory Also various types ** of ** ** variational ** ... analysis ** for ** ** a ** general class ** of ** ** variational ** inclusions,” Journal ** of ** Mathematical Analysis and Applications, vol 201, no 2, pp 609–630, 1996 J.-W Peng, Y Wang, D S Shyu, and J.-C Yao, **Common ** solutions...

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... that the variance ** of ** α10 ** in ** the presence ** of ** ** IQ ** ** imbalance ** has increased The ** in** uence ** of ** ** IQ ** ** imbalance ** on the linearization performance ** of ** the MOP PD can be checked out by comparing the AM/AM and ... shown ** in ** Figure ** For ** comparison, the PSD ** of ** the original input signal and the output PSD ** of ** the system employing an ideal PD without ** IQ ** ** imbalance ** also are shown As noted before, the ** IQ ** ** imbalance ** ** in ** ... technique ** for ** improving the linearization performance ** of ** the MOP PD ** In ** the following, the complexity ** of ** both Conclusions ** In ** this paper, the eﬀects ** of ** QM imperfections, such as gain and phase imbalances...

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... ** contractive ** maps, ** the ** property of having ** a ** ﬁxed point is invariant by ** a ** certain class of homotopies, obtaining as ** a ** consequence ** a ** Leray-Schauder alternative ** for ** ** weakly ** ** contractive ** maps in ** the ** ... ** contractive ** ** mappings,** ” Transactions of ** the ** American Mathematical Society, vol 226, pp 257–290, 1977 14 G E Hardy and T D Rogers, **A ** generalization of ** a ** ﬁxed point theorem of Reich,” Canadian Mathematical ... 1973 ** A ** Granas, **Continuation ** ** method ** ** for ** ** contractive ** maps,” Topological Methods in Nonlinear Analysis, vol 3, no 2, pp 375–379, 1994 R P Agarwal, M Meehan, and D O’Regan, Fixed Point Theory and Applications,...

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... variation ** in ** shape ** of ** ** within-ring ** frequency distributions ** of ** ** wood ** ** density ** RESULTS 3.1 Statistics ** describing ** ** within-ring ** ** distribution ** ** of ** ** wood ** ** density ** From ** wood ** ** density ** histograms within a single ring ... change ** in ** ** distribution ** ** of ** ** within-ring ** ** density ** ** for ** one sd increase ** in ** ring width is presented ** in ** Figure 3.4 Differences among ** clones ** ** in ** ** within-ring ** ** density ** Fluctuations ** in ** growth rate ** and ** ** within-ring ** ... variability ** in ** the ** distribution,** ** and ** to examine the potential utility ** of ** using parameters ** describing ** ** within-ring ** ** distribution ** ** of ** ** wood ** ** density ** ** in ** clone selection ** and ** deployment MATERIALS ** AND ** METHODS...

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... can force the DE ** analysis ** to be skewed towards one experimental condition Current ** analysis ** methods [6,11] have not accounted ** for ** this proportionality property ** of ** the data explicitly, potentially ... (Figure S7 in Additional file 1) Page ** of ** To further compare the performance ** of ** the TMM ** normalization ** with previously used methods in the context ** of ** the DE ** analysis ** ** of ** ** RNA-seq ** data, we extend the above ... Environment ** for ** Statistical Computing 2009 Robinson MD, McCarthy DJ, Smyth GK: edgeR: a Bioconductor package ** for ** ** differential ** ** expression ** ** analysis ** ** of ** digital gene ** expression ** data Bioinformatics...

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