conclusion we have reported here some features of an ag al2o3 catalyst for the direct reductive mono n alkylation of a range of aromatic nitro compounds with alcohols via a hydrogen borrowing strategy this process has significant advantages when
Two topics on local theta correspondence
... except for p or q = 2n in case R) For part (ii), since having full rank is an open condition, i.e there is an open subset B, such that B ∩ N ̸= ∅ and X has full rank for any X ∈ B On the other hand, ... ) Here C (G′ ) denote the category of Casselman-Wallach G′ -representation and the image of Θ∞ is in the subcategory of finite length CasselmanWallach G′ -representations Since the role of G and ... compact dual pairs, and then define the moment map of non-compact dual pair by moment maps of compact dual pairs via diamond dual pair In the end of this section, we will review the notion of theta lifting...
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Girsanov’s theorem and the risk-neutral measure
... Under I , B T is normal with mean zero and variance P mean T and variance T e T Under IP , B T is normal with Means change, variances don’t When we use the Girsanov Theorem to change the ... Theorem to change the probability measure, means change but variances not Martingales may be destroyed or created Volatilities, quadratic variations and cross variations are unaffected Check: e e dB ... s (Taking in what is known) = IE 1A XZ t f (Lemma 1.53 again) = IE 1A X Z f = X dIP : Z A Although we have proved Lemmas 1.53 and 1.54, we have not proved Girsanov’s Theorem We will not prove...
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Đề tài " Conformal welding and Koebe’s theorem " docx
... that the right- hand interval of I maps to an interval of length n |hn (I)| We choose n so small that the union of all the left intervals has logarithmic capacity less than 2 n and the union ... we can make the Robin constant of Ek as large as we wish, say ≥ A (A will be chosen later with A N ) By enlarging Ek in each Ik , if necessary, we can make the Robin constant of Ek equal to A ... most of γ and map the rest of γ into a small ball near γ ) I thank Ste an Rohde and Don Marshall for pointing out an error in an earlier version of this paper concerning the definition of flexible...
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abel's theorem in problems and solutions - v.b. alekseev
... Cardano (1501-1576) was an Italian mathematician L Ferrari (1522–1565) was an Italian mathematician, a pupil of Cardano and where is an arbitrary number We try now to determine the polynomial ... solutions in the Section Hints, Solutions, and Answers We mean rotation of the plane around one axis perpendicular to the plane Groups 11 the triangle ABC into itself We put the transformation corresponding ... reasoning: transformation sends vertex A onto vertex C, and later sends C onto A In this way the transformation sends A onto A In exactly the same way we obtain that B is sent onto B, and C onto...
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Báo cáo hóa học: "Research Article Quasicone Metric Spaces and Generalizations of Caristi Kirk’s Theorem" ppt
... Fixed Point Theory and Applications and hence regular In particular the cone P 0, ∞ in the real line R is strongly minihedral and normal; hence the results mentioned in the above references are recovered ... Mathematical Analysis and Applications, vol 332, no 2, pp 1468–1476, 2007 Sh Rezapour and R Hamlbarani, Some notes on the paper: “cone metric spaces and fixed point theorems of contractive mappings”,” ... mappings,” Acta Mathematica Sinica, English Series, submitted D Turkoglu, M Abuloha, and T Abdeljawad, “KKM mappings in cone metric spaces and some fixed point theorems,” Nonlinear Analysis: Theory,...
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Báo cáo toán học: "Irreducible coverings by cliques and Sperner’s theorem" ppsx
... Boolean function using prime implicants of the function or for minimizing the number of states of an incompletely specified Mealy type automaton A by finding a closed irreducible covering of the ... coverings for the set-covering problem, an example of an algorithm in this class being Petrick’s algorithm [5] This algorithm was intensively used for obtaining the minimal disjunctive forms of a ... the family of all k k/2 -subsets of Y we have s = k/2 and s Ai = ∅, whence i=1 max max (s + | s≥2 {A1 , ,As } s i=1 Ai |) ≥ k k/2 On the other hand, let B = s Ai and r = |B| Since s ≥ and {A1 ...
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Báo cáo toán học: "Kocay’s lemma, Whitney’s theorem, and some polynomial invariant reconstruction problems" docx
... polynomials considered by Hagos contains enough information for counting hamiltonian cycles and spanning trees Now we count the subgraphs with a given number of components, and a given number of edges ... useful in understanding exact relationship between different expansions (and reconstructibility) of several important invariants in a unified way The reconstruction of the number of hamiltonian cycles ... Let G be the graph under consideration Its elementary spanning subgraphs other than the hamiltonian cycles are counted as in the standard proof Let n = v(G), and let S0 be the type of an n- vertex...
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Báo cáo toán học: " Landau’s and Rado’s Theorems and Partial Tournaments" pdf
... r2 the electronic journal of combinatorics 16 (2009), #N2 rn has an independent transversal: The desired tournament has vertices 1, 2, , n and an edge from i to j if and only (i, j) is in Pi ... n vertices A digraph obtained from G by giving a direction to each of its edges is called an oriented graph or a partial tournament of order n Given a partial tournament T and a sequence of nonnegative ... −s2 n rn −sn n − (ri − si ) = i=1 n si i=1 The partial tournament T can be completed to a tournament with score sequence r1 , r2 , , rn if and only if the family A has an independent transversal...
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Báo cáo toán học: "A q-analogue of Graham, Hoffman and Hosoya’s Theorem" pdf
... q-analogue of Graham and Pollak’s result and Sivasubramanian [4] obtained a q-analogue of Theorem for the case when all the blocks of a graph are triangles In this present work, we show a q-analogue ... polynomial generalisation of Graham, Hoffman and Hosoya’s Theorem We also prove a similar polynomial generalisation - when two n × n matrices M1 , M2 have the same determinant, then replacing all the ... Akin to determinant of the distance matrices of some graphs being equal, are there graphs such that the determinant of their adjacency matrices are identical? Since a mod-2 distance matrix has...
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Báo cáo toán học: "Flexible Color Lists in Alon and Tarsi’s Theorem, and Time Scheduling with Unreliable Participants" pot
... Nullstellensatz is more general than the following strengthening of Alon and Tarsi’s Theorem However, Alon and Tarsi have already asked in the original paper [AlTa] for a combinatorial proof of their ... combinatorial proof of a paintability strengthening of Alon and Tarsi’s Theorem Afterwards, we show that most applications of Alon and Tarsi’s Theorem can be strengthened as well In Section 1, we present ... Alon-Tarsi Condition in Theorem 2.1 applies, and the (α + 1)-paintability of LKn follows Hence, LKn is n- paintable and Kn is edge n- paintable H¨ggkvist and Janssen just use a a different notation and...
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Báo cáo toán học: "MacMahon’s theorem for a set of permutations with given descent indices and right-maximal record" ppt
... permutations and derivation therefrom of functions of a single variable associated with the permutations of any assemblage of objects, Amer J Math., 35(1913), 281-322 [11] P A MacMahon, Two applictions ... < n − 1, (Idesi, r[max, v], scode) ∼ (Idesi, r[max, v], majcode) if yi = 1, i < n − Acknowledgments I am grateful to N Bakhytjan and A Jumadildayeva for assistance in making calculations, and ... 643 The natural question appears of whether other kinds of records save equidistribution of major codes and inversion codes We show that Theorem 1.2 cannot be improved Changing the major (inversion)...
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Oracle Database Backup and Recovery Advanced User’s Guide
... multiple channels are allocated for a BACKUP command, and if RMAN encounters a retriable error (for example, an unplanned instance shutdown in RAC, or a media management error), then RMAN attempts ... as the basis of the LIST BACKUP and REPORT OBSOLETE commands s Automatic Instance Creation for RMAN TSPITR RMAN can create an auxiliary instance automatically when you perform RMAN TSPITR RMAN ... Performing Advanced RMAN Backup and Recovery Connecting to Databases with RMAN Starting RMAN Without Connecting to a Database 5-2 Connecting to a Target Database and a Recovery Catalog...
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THE MOUSE, THE BIRD, AND THE SAUSAGE - GRIMM’S FAIRY TALES
... bring in the wood, telling the others that he had been their servant long enough, and had been a fool into the bargain, and that it was now time to make a change, and to try some other way of arranging ... arranging the work Beg and pray as the mouse and the sausage might, it was of no use; the bird remained master of the situation, and the venture had to be made They therefore drew lots, and it ... carefully gathered the apples together in a heap and walked on again The next thing she came to was a little house, and there she saw an old woman looking out, with such large teeth, that she was terrified,...
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THE FISHERMAN AND HIS WIFE -GRIMM’S FAIRY TALES
... the castle together, and found a great many servants there, and the rooms all richly furnished, and full of golden chairs and tables; and behind the castle was a garden, and around it was a park ... standing at the gate of it already.’ So away went the fisherman, and found his wife standing before the gate of a great castle ‘See,’ said she, ‘is not this grand?’ With that they went into the ... come in!’ said she; ‘is not this much better than the filthy pigsty we had?’ And there was a parlour, and a bedchamber, and a kitchen; and behind the cottage there was a little garden, planted with...
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THE OLD MAN AND HIS GRANDSON - GRIMM’S FAIRY TALES
... home, and as they were entering the village, the small peasant also came quietly in, driving a flock of sheep and looking quite contented Then the peasants were astonished, and said: ‘Peasant, ... am contented with anything,’ replied the husband, ‘so far as I am concerned, bread and cheese will do,’ and looked at the peasant and said: ‘Come and eat some more with me.’ The peasant did not ... and gave him a slice of bread and cheese The peasant ate it, and lay down with his skin beside him, and the woman thought: ‘He is tired and has gone to sleep.’ In the meantime came the parson;...
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Biodegradable Polyurethanes and Poly(ester amide)s
... corresponding diisocyanate This way, PURs with an increased biodegradation rate and enhanced cell attachment can be obtained Note that these characteristics can be easily tailored by a simple change ... Obtain Degradable Polyurethanes • The encapsulation of organic liquids in PUR nanocapsules prepared by interfacial miniemulsion polycondensation of isophorone diisocyanate and propanetriol has also ... and facilitate aggregation of the hard phase by π-electron association; and (iv) variation in the number of substitutions and spacing between and within branch chains affects the flexibility of...
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THE STRAW, THE COAL, AND THE BEAN- GRIMM’S FAIRY TALES
... and lay gasping and nearly dead on the bank Then the queen took pity on the little fish, and threw it back again into the river; and before it swam away it lifted its head out of the water and ... she opened her eyes and awoke, and smiled upon him; and they went out together; and soon the king and queen also awoke, and all the court, and gazed on each other with great wonder And the horses ... to an old tower, to which there was a narrow staircase ending with a little door In the door there was a golden key, and when she turned it the door sprang open, and there sat an old lady spinning...
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Tài liệu THE ELVES AND THE SHOEMAKER - GRIMM''''S FAIRY TALE pptx
... decent, for they have nothing upon their backs to keep off the cold I’ll tell you what, I will make each of them a shirt, and a coat and waistcoat, and a pair of pantaloons into the bargain; and ... out the work again overnight and found it done in the morning, as before; and so it went on for some time: what was got ready in the evening was always done by daybreak, and the good man soon became ... out, and began to ply with their little fingers, stitching and rapping and tapping away at such a rate, that the shoemaker was all wonder, and could not take his eyes off them And on they went,...
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