... and function ofthe hormonal system We first cloned the genes ofthe CYP11B family ofthe guinea pig The 11bhydroxylase ofthe guinea pig showed higher substrate specificity than the aldosterone ... screening ofthe cDNA library did not result in the identification of any cDNA other than CYP11B1 (data not shown) Thus, we devised another strategy for the identification of additional genes ofthe ... 16 bp upstream ofthe polyA tail with no indications for theexistenceof alternative poly adenylation sites (Fig 2) We next investigated the expression ofthe CYP11B genes A Northern blot probed...
... temporarily holds the place of another piece of data that’s dropped in when theXML is displayed in a browser, imported into InDesign, or otherwise parsed One ofthe coolest tricks of XML, you can ... XML file A DTD can be used to validate the structure ofthe XML, and an XML file that conforms to the DTD is considered valid DTDs were originally developed for SGML and then adapted to theXML ... Incorporated in the United States and/or other countries Altova and XMLSpy are registered trademarks of Altova GmbH in the United States and other countries All other trademarks are the property of their...
... represents the types of entities chat participate in an action and the changes the entities undergo during the action The ~ s are organized so thac the similarities among various senses of a given ... Agent to the location ofthe indirect object by the interaction of building block #3 with other buildlng blocks and effects that participate in the action description Similarly, the conceptual dependency ... interesting to see how these descriptions differ from the ones Moran would have constructed if the building blocks had not been available We shall also investigate how theexistenceofthe building blocks...
... as the following: # of appearences ofthe item in the positive class # of appearences ofthe item in the data 21 Note that the parameter c takes into account the occurrence of an item in the ... y) on the ALC indicates that the top x percent ofthe ranked list contains y percent of all responders The more responders near the top ofthe ranked list the better Similar to the measure of response ... paradigm, the positive class consists ofthe responders and the negative class consists ofthe non-responders The result from each ofthe three models is shown in Figure 3.1 The x-axis represents the...
... life Since they did not know muchabout disease their lack of knowledge of diseases and their lack of medical practitionersin these remote areas would give the perfect opportunity for their superstitious ... knowledge the one thing that would make senseto them would be that a vampire was on the loose while the fact that the town could be inthe middle of an epidemic such as the black plague during the Dark ... ofthe town began to fall ill at the same time and theyall displayed similar symptoms such as weight loss , weakness and paleness they wouldthink that these people must have been drained of the...
... concepts, to theexistenceof a supreme cause The first proof is the physico-theological, the second the cosmological, the third the ontological There are, and there can be, no others.9 The distinction ... the theist’s arguments 2 The Nature of Explanation General Considerations When the theist argues from phenomena such as theexistenceofthe universe or some feature ofthe universe to theexistence ... perhaps, each ofthe factors is necessary, given the others and the world being in other ways the same, for the occurrence of E—that is, without any one of them, the world otherwise remaining the same,...
... (3:9) Then F (T) = ∅ Proof Since k ≥ 2, (3.9) implies (3.1) Therefore, the conclusion follows from Theorem 3.1 The following result is immediate from the definition of Dp and Theorem 3.1 Theorem ... y∈A Denote by N (X) the family of all nonempty subsets of X, C (X) the family of all nonempty closed subsets of X and CB (X) the class of all nonempty closed bounded subsets of X, respectively ... 100-2115-M-017-001 ofthe National Science Council ofthe Republic of China Author details Department of Mathematics, Honghe University, Yunnan 661100, China 2Department of Mathematics, National...
... a.e in Ω The proof is similar to Lemma 2.2 Theexistenceof solutions In this section, we introduce the main work of this paper, to prove theexistence and the uniqueness of solutions to the nonhomogeneous ... subsequence xij of xi, there is a subsequence xijk of, xijsuch that xijkconverges to x0 weakly in X and the weak limit x0 is independent ofthe choice ofthe subsequence of xi Then xi converges ... ▽ = (∂1, , ∂n) is the gradient ofThe Sobolev space H1,p(Ω) is defined to be the completion ofthe set { Î C∞(Ω): ||||1,p
... problems 1.5 Since the proof ofthe main theorem Theorem 4.1 in this paper is independent ofthe expression form of G t, s and only dependent on its continuity and nonnegativity, there are similar ... all t ∈ 0, , s ∈ 0, Proof From the properties of G1 t, s , and the definition of G2 t, s , we can prove that the results of Proposition 2.3 hold Theorem 2.4 If μ ∈ 0, α − , the function G t, s defined ... 19 In 19 , the authors used the fixed point theorems to show sufficient conditions for theexistenceof at least one and at least three positive solutions to problem 1.5 For the case of α 2, boundary...
... and t ∈ Ìk , then the delta derivative of f at the point t is defined to be the number f Δ t provided it exists with the property that, for each ε > 0, there is a neighborhood U of t such that ... to the boundary value problem xΔΔ t λf t, xσ t , xΔ t , xΔ a 0, t ∈ a, ρ2 b Ì, x b Then the boundary value problem 1.2 has at least one solution in C2 a, b Proof The proof is the same as 18, Theorem ... >, then the dual version ofthe above induction principle is also true By C2 a, b , we mean the Banach space of second-order continuous Δ-differentiable functions x : a, b Ì → Ê equipped with the...
... established the conditions for theexistenceof at least two or three positive solutions in these boundary value problems by virtue ofthe Avery-Henderson fixed point theorem and the Leggett-Williams ... to the following discussion Section analytically establishes the criteria for theexistenceof at least two positive solutions in the boundary value problems 1.9 and 1.10 with the aid ofthe ... 2.9 / 0, and the definition ofthe 2.10 T This equation, together with 2.8 , further implies u1 t ≡ u2 t , t ∈ 0, σ T T, 2.11 which consequently leads to the completion ofthe proof, that is,...
... related system of ordinary differential equations Then variational method was applied to study the related systems and theexistenceof periodic solutions ofthe equations is obtained The previous ... prove Theorem 1.1 Proof of Theorem 1.1 It is obviously that Theorem 1.1 holds from Lemmas 2.3, 2.4, 2.6, 2.7, 2.8, and 2.9 and Theorem A Appendix The purpose of this appendix is to prove the following ... 1.3 , we can apply the twist condition between the zero and at infinity for f to establish theexistenceof periodic solutions of 1.2 Under the superlinear conditions 1.5 , there is no twist condition...
... give our results on theexistenceof positive solutions of BVP 1.6 Theorem 3.1 Suppose that conditions H1 and H2 hold, and assume that one ofthe following conditions holds H3 There exist ρ1 , ... η ∈ 0, ρ T He obtained theexistenceof at least double and triple positive solutions ofthe problems by using a new double fixed point theorem and triple fixed point theorem, respectively In ... a fixed point of operator F Then, the BVP 1.6 has at least two positive solutions When condition H6 holds, the proof is similar to the above, and so we omit it here An Example In the section,...
... that there is a large number of functions that satisfy the conditions of Theorem 3.3 In addition, the conditions of Theorem 3.3 are also easy to check Acknowledgments This work is sponsored by the ... Equations Existenceof Positive Solution to 1.1 – 1.3 Now we deal with problem 1.1 – 1.3 The method is just similar to what we have done in Section 3, so we omit the proof of main result of this ... be the number if it exists with the property that given ε > there is a neighborhood U of t with y ρ t −y s − y∇ t ρ t − s
... meanings: L is the length ofthe string, h is the area of cross-section, E is the Young modulus ofthe material, ρ is the mass density and P0 is the initial tension Problem (1.2) began to call the attention ... equation extends the classical d’Alembert’s wave equation by considering the effects ofthe changes in the length ofthe strings during the vibrations The parameters in (1.3) have the following meanings: ... u λ u λ − FK u λ μ (3.3) Proof of Theorem 1.1 In the proof of Theorem 1.1, we need the following estimate Lemma 4.1 If uλ is a solution (positive) of problem T0 , then uλ ≤ C for all λ ≥ 0, where...
... in the connections It isn’t the letters, it’s the way they’re strung together into words It isn’t the words, it’s the way they’re strung together into phrases It isn’t the phrases, it is the ... that they can trust Thus, verifyingthe source of statements is a key part ofthe Semantic Web Person A siblingOf Person B childOf uncleOf Person C Figure 1.7 Using rules to infer the uncleOf relation ... been rewarding because ofthe importance ofthe topic, the quality of my coauthors, and the utility of our approach to provide critical, strategic guidance At the same time, there were difficulties...
... have the conclusion that the sequence (3.10) {u m } m converges to u in X k Thus, Tk is of class ( S )+ in X k Next we calculate the topological degree ofthe operator Tk By condition (C4), the ... =1 Ω ⎣ i =1 which completes the proof ofthe lemma N ∫ ∑ a i ( x, ∇u k ) Trang 22 TẠP CHÍ PHÁT TRIỂN KH&CN, TẬP 9, SỐ -2006 Proof of Theorem 3.1 By Lemma 3.1, there exists a sequence {u k }k ⊂ ... Since {u k }k strongly converges to u on Ωm , it follows from the above equality that ( 3.18) holds We now N complete the proof ofthe theorem VỀ SỰ TỒN TẠI NGHIỆM CỦA PHƯƠNG TRÌNH ELLIPTIC PHI...
... S(¯)) = ∅ x ¯ ¯ x ¯ x Thus, the set P S defined as in (16) with α = P is nonempty and compact To complete the proof ofthe theorem, it remains to apply Theorem Existence of Solutions to Generalized ... theexistenceof equilibrium points of vector functions, Numer Funct Anal and Opt 19 (1998) 141–156 23 N X Tan, On theexistenceof solutions of quasivariational inclusion problems, J Optim Theory ... said to be a solution of (1)(α,γ) The set of such solutions is said to be the solution set of (1)(α,γ) and denoted by αS2 (D, K, S, T, F, f, C) These problems (α, γ is one ofthe words: “ideal”,...
... where b(i) is the number of times the integer i occurs in the sequence T Note that the sum of all b(i), ≤ i ≤ n, is equal to l, the length of T A simple proof for theexistenceof exponentially ... uR , n + 2, 0 is the transition sequence of an (n + 2)-bit Gray code In the proof of Theorem 3.1 below, the sequence j0 , j1 , , jl−1 , will be denoted by T Thus, the length ofthe sequence T ... 2, With respect to the transition sequence of G(n), the transition count ofthe integer i, denoted ¯ by T Cn (i), is equal to the number of times the integer i occurs in S(n) The distribution T...