... space, at the same time Y → X1 Lemma 4.1 Under the hypotheses of Lemma 2.7, there exists a sequence of {un } ⊂ X, un u0 in Furthermore, if, we can derive that u Y < C, C is a constant, then the X1 ... , p 2δ/ δ The proof of Theorem 4.4 is parallel to that of Theorem 4.3; here we omit the detail Acknowledgment This project was supported by the National Natural Science Foundation of China no ... X, u R great enough 2.51 By Lemma 2.7, the theorem is proven Theorem 2.9 uniqueness theorem Under the assumptions of Theorem 2.8 with g x in 2.48 If the problem 2.10 – 2.13 has a weak solution...
... see that the lower the noise level δ is, the better the approximate effect is; the closer to the boundary x the location is, the better the approximate effect is These accord with the theory in ... result in the sense that uc → u as ξc → ∞ for the case of exact data g, h The following estimate holds Lemma 2.4 convergence Suppose that u is the solution ofthe problem 2.2 , and that the Helmholtz ... and In the experiment, the regularization parameter is chosen according to the Remark of Remark 2.5, where we take E From the above results, it is easy to see that the numerical effect ofthe spectral...
... point in the chessboard there is a king that lives in the right hand one ofthe two columns of its × cell, then everywhere to the right of that cell, in the same row ofthe board, all ofthe kings ... piece is the last column, we see that the total number of m × n arrangements is the sum of all ofthe entries ofthe N (m) × N(m) matrix Λn−1 m Hence the generating function for the numbers of m-rowed ... multiplicity two Proof The eigenvalues of Λm are the multiset union ofthe multisets of eigenvalues of its diagonal blocks, if its lines are labeled as described in lemma Exactly two ofthe diagonal...
... information in the internet Necessity to ask more advanced people for help Waste time Difficulties in employment assistance Causes Lack of useful information in the course of information ... learning Lack of access to computer Dissatisfactory school base Insufficient allocation of application programs Alternatives Correction of information science course Simplification of access ... Correction of information science course Simplification of access to computer classes Increase the motivation ...
... we depend on other people Causes The first cause ofthe problem of computer illiteracy is the lack of useful information in the course of information science The second cause is unwillingness ... for them, instead of learning how to it themselves The third cause is lack of access to computer The fourth cause is dissatisfactory school base The fifth cause is insufficient allocation of application ... The problem of computer illiteracy as a one of main problems of business students Symptoms The main symptom ofthe computer illiteracy is an inability...
... reefs off the continental United States.244,245 The Keys comprise 88 percent of coral reefs in Florida, excluding the reefs ofthe Middle Grounds situated 100 miles off the coast in the Gulf of ... areas ofthe Northern Hemisphere during the 20th century,155 and global warming is predicted to further increase the intensity of rainfall events for parts ofthe United States.156 What might be the ... “Vast underwater meadows of seagrass skirt the coasts of Australia, Alaska, southern Europe, India, east Africa, the islands ofthe Caribbean and other places around the globe They provide habitat...
... clusters corresponds to one ofthe senses of palm, and the words closest to the geometric centers ofthe clusters should be good descriptors of each sense However, as matrices ofthe above type can be ... frond and the rest ofthe vocabulary In the case of sake the beverage sense is extremely rare in the BNC and therefore was not represented among the top 30 associations For this reason the clustering ... with each of their individual entries seeming somewhat arbitrary, it is necessary to detect the regularities in the patterns For this purpose we applied the SVD to each ofthe matrices, thereby...
... of assuming a verbal tag in the third (The "choice" colunm is explained below.) The average performance of PARTS for this task is 89%, which is lower than the general average performance ofthe ... narrow-down close-down The first step in testing this hypothesis was to evaluate the current performance of PARTS in handling the phrasal verb construction To this a set of 94 pairs of Verb+Particle/Preposition ... adjectives This confirms my hypothesis that PARTS will have a problem solving the N/V ambiguity in cases where the lexical probability ofthe word points to a noun These are the very cases that should...
... separation ofthe lemma and suffix helps in tiding over the data sparsity problem by allowing the system to reason about the suffix-case marker combination rather than the combination ofthe specific ... both the cases use the agent relation The other distinguishing aspect of UNL is the hyper-node that represents scope In the example sentence, the whole clause “that he was hit by Jack” forms the ... Jack” forms the object ofthe verb said, and hence is represented in a scope The Stanford dependency parser on the other hand represents these dependencies with the help ofthe clausal complement...
... each word from the centroid of its closest cluster, and to assign the differential vector to the most appropriate other cluster This process can be repeated until the length ofthe differential ... the results ofthe vector comparisons Fortunately, the problem of data sparseness can be minimized by reducing the dimensionality ofthe matrix An appropriate algebraic method that has the capability ... simply compute the similarities between all pairs of rows using a vector similarity measure such as the cosine coefficient and then cluster the words according to these similarities The expectation...
... number of clitics which are suffixes as far as the phonology is concerned (i.e., they undergo Vowel Harmony with the word to which they attach) are separate words from the point of view ofthe syntax ... point of view m i,e, the morphemes are in the right order and the relevant phonological rules have applied correctly over the appropriate domains n we then pass the morphological analysis off to the ... with the sequence of lexical segments in the underlying morphemes and that the surface string is well-formed Also exemplary ofthe division of duty between the morphophonological parser and the...
... or Nursing Mothers Councils They can also foster the creation of mother-to-mother support groups in community health centers and advertise these groups, particularly as part ofthe hospital discharge ... information about the food they purchase The percent ofthe U.S population that reports “often” reading a food label the first time they buy a product increased from 44% in 2002 to 54% in 2008 Of those ... Moreover, the FTC criticized the program for applying these standards only to certain forms of advertising It recommended, among other things, that the CFBAI improve the quality and consistency of the...
... courses The exact nature of this response depends on the s~:rucrure ofthe data base Co~lexir~ ofThe domain: i Iu each type of interaction the complexity ofthe interaction depends both on the nature ... actions the imperative force of a question from the user (apprentice or student) can either be the same as before or it can have the imperative force of making the system show the user how the answer ... the nature ofthe interaction (i.e., function) as well as the domain In many ways the complexity ofthe interaction ultimately seems to depend on the cc~nplexity ofthe domain If the task itself...
... index from the element in A .The conception about the shadow of a set was used efficiently by many mathematicians as: Sperner, Kruskal, Katona, Clement, ? We shall study here the shadow of segments ... that the segment [d;b] satisfys conditions of corollary 2.2, we now imitate the above proof to finish the corollary Certaintly, the last corollary is a solution for our key questions, in the case ... answered by the corollary 2.1 so here we only give the proof for the latter.In fact, We define the number s as follows s = min{t : mk−t ≤ M − t} We close this section with the following theorem:...
... information inferior to the head ofthe article ifself: Sometimes the given names ofthe authors are abbreviated The affiliation information for authors often is missing Many tables of contents contain ... provides hyperlinks to the coauthors and to the tables of contents pages the article appeared in From the database point of view these are simple materialized views, for the users they make it very ... was the development ofthe DBLBrowser (Klink et al., 2004) as a part ofthe SemiPort project (Fankhauser et al., 2005) The DBL-Browser provides a visual user interface in the spirit of Microsoft...
... avant-garde artworks in the domain ofthe aesthetic Since the era of Duchamp’s Fountain, avant-garde artworks have developed to the point of once again challenging the aesthetic theory of art Counterexamples ... from the sight ofthe words or the gleaming curves ofthe urinal Rather, these non-perceptual aesthetic properties strike us and are thus perceived directly, not through the five senses The third ... works thus removing the majority of counterexamples to the aesthetic theory of art However, the nature of avant-garde art means that since the era of Duchamp’s readymade artworks, the boundaries have...
... the formula ofthe Boussinet, then the assumption about the random force will lead, in particular, to the results ofthe work The physical reason ofthe assumption about the uncorrelativity of ... SIMULATED MECHANICAL TRANSLATION In the first works on the theory ofthe Brownian movement (see also ) the values ofthe velocity ofthe particle in the various moments ofthe time were assumed to be ... uncorrelativity ofthe random force is the shortness of its time ofthe correlation as compared with the time ofthe relaxation ofthe velocity for the large Brownian particles (large frequency ofthe collisions)...
... words and their place in the Russian sentence The resulting information is recorded by means of indices, thereby permitting passage to the second part ofthe program -"Synthesis ofthe Russian ... for the given word Different parts ofthe program are ordered in a sequence which ensures the development ofthe indices necessary to carry out further operations 43 Starting with the input ofthe ... characteristic ofthe analyzed word In checking, only two answers are possible, either positive or negative Each of these answers admits either a final conclusion and the development ofthe corresponding...