basic theorems of boolean algebra ppt

... Fixed Point Theorems of Contractive Mappings Mohamed A. Khamsi 1, 2 1 Department of Mathematical Science, The University of Texas at El Paso, El Paso, TX 79968, USA 2 Department of Mathematics ... and fixed point theorems of contractive mappings,” Journal of Mathematical Analysis and Applications, vol. 332, no. 2, pp. 1468–1476, 2007. 2 B. Rzepecki, “On fixed point theorems of Maia type,” ... since X is complete. The remaining part of the proof follows the same as in the previous theorem. The connection between the above results and the main theorems of 1 are given in the following corollary. Corollary...

Ngày tải lên: 21/06/2014, 17:20

... first level of subobjects of the currently selected object. Expand All Expands all levels of subobjects of the currently selected object. Collapse All Collapses all levels of subobjects of the currently ... do? D Concept: Learn About To display the cue card for any of these topics, click the appropriate button to the left of the item. Cue Cards include a set of six buttons that you use to navigate to the information ... SQL statements. For example, to select all columns of the B_TEST table, enter the following statement: PL/SQL> SELECT * FROM b_test; Basics of Procedure Builder 19Ć29 The Program Unit Editor continued Creating...

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... estimate for the modulus of continuity for SLE κ for other κ. What better modulus of continuity can be obtained with a different parametrization of the trace? BASIC PROPERTIES OF SLE 917 domain is ... above value of κ is derived by applying the predictions [SD87] of the dimensions of the perimeters of clusters in the random cluster model. Consider a random-uniform domino tiling of the unit ... process of growth of a set K t . The evolution of the set over time is described through the normal- ized conformal map g t = g t (z) from the complement of K t . The map g t is the solution of Loewner’s...

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... used. The results of Table I show that for the CACM queries the best overall policy is a complete softening of the Boolean operators down to p = 1. Evidently not many of the quasi -Boolean phrases ... extended (soft) Boolean logic is used for the formulation of information retrieval queries which is capable of representing both the use of compound noun phrases as well as the inclusion of synonym ... are connected by Boolean operators. The use of Boolean logic in retrieval is discussed in more detail in the remainder of this note. 116 i) (A andco B) interpreted as ALL OF (A,B) (strict...

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... [48]. 4.2 Receptors of Innate Immunity The cells of the innate immune system rely on a series of germ line-encoded receptors to accomplish the tasks of rapid response to and eradication of invading ... the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other ... way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version,...

Ngày tải lên: 22/03/2014, 21:20

... Lumbar Interbody Fusion 13 weeks of conservative care (100). At six months, 29% of the APLD group, after removal of a mean of 2.1 g of nuclear content, and 80% of the microdiscectomy group experienced ... were of fatal anaphylaxis, 24 cases of infection, 32 cases of hemorrhage, 32 cases of neurologic deficits (such as paraplegia, paraparesis, hemiparesis, and foot drop), and 15 miscellanous cases of ... published in 1976 (171). Sixty-eight of 130 appropriate patients were randomized to 1 ml of 20 mg chymopapain/5 ml of saline or 1 ml of 20 mg sodium iothalamate/5 ml of saline placebo solution. Each...

Ngày tải lên: 22/03/2014, 21:20

... c i is the child of node n i , l is the number of children of node n i , and 0 ≤ λ ≤ 1. This formula means that the weight of each node is defined by a weighted average of the weight of the query ... measure of the subqueries. Al- though we calculate the score of extents by sub- queries instead of using only the whole query, the score of subqueries can not be compared with the score of other ... weight of a query is normalized weight of the query. When λ = 0, the weight of a query is calculated from the weight of the subqueries, i.e. the weight is calcu- lated by only the weight of the...

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Ngày tải lên: 31/03/2014, 15:00

... Banach space and the dual space of E, respectively. Let C be a subset of E,andlrtT be a non-self-mapping of C.WeuseFT to denote the set of fixed points of T. The norm of a Banach space E is said ... Theorem 3.1 of Zhang and Su 17, Theorem 1 of Yao et al. 11, and Theorem 2.2 of Cai and Hu 12. Corollary 3.3 also improve and extend Theorem 2.1 of Choa et al. 20, Theorem 2.1 of Jung 21, ... point x of T which solves the variational inequality:  A − γφ  x, J q  x − z   ≤ 0,z∈ F  T  . 2.3 Proof. The definition of {x t } is well definition. Indeed, from the definition of MKC,...

Ngày tải lên: 21/06/2014, 11:20

... element of u ∈{0, 1} m denotes the state of the control node whose value can be arbitrarily given as an external control input in the Boolean network, each element of x ∈{0, 1} n denotes the state of ... x 0 . The above notion of controllability comes from the fact that, for example, in control of genetic networks we often would like to determine if expressions of certain gene of interest (corresponding ... using the forms of (31) and (32), the following lemma on Part A of Algorithm 1 is obtained. Lemma 1. In Step 6, y(T) includes neither identities of (31) nor identities of (32). Proof. In Step 3,fromX t i x ,j x ≥...

Ngày tải lên: 21/06/2014, 16:20

... for example, 5. The problem of finding an optimal point that minimizes a given cost function over common set of fixed points of a family of nonexpansive mappings is of wide interdisciplinary interest ... Proceedings of the National Academy of Sciences of the United States of America, vol. 53, pp. 1272–1276, 1965. 4 S. Ishikawa, “Fixed points by a new iteration method,” Proceedings of the American ... convergence theorems for finding common fixed points of a countable family of hemi-relatively nonexpansive mappings, which can be viewed as a generalization of the recently result of 15, Theorem...

Ngày tải lên: 21/06/2014, 20:20

... KRF-2008-313-C00050. References 1 F. E. Browder, “Fixed-point theorems f or noncompact mappings in Hilbert space,” Proceedings of the National Academy of Sciences of the United States of America, vol. 53, pp. 1272–1276, ... Article Strong Convergence Theorems of Common Fixed Points for a Family of Quasi-φ-Nonexpansive Mappings Xiaolong Qin, 1 Yeol Je Cho, 2 Sun Young Cho, 3 and Shin Min Kang 4 1 Department of Mathematics, ... modified Halpern type iterative algorithm for a family of quasi-φ-nonexpansive mappings in the framework of Banach spaces. Strong convergence theorems of the purposed iterative algorithms are established. 1....

Ngày tải lên: 21/06/2014, 20:20

... Then we obtain several theorems of existence of monotone p ositive solutions by using the fixed point index theory. Our results differ from those of [1–3]and extend the results of [1–3]. Particularly, ... pages, 2006. Weihua Jiang: College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, China; College of Mathematics and Science of Information, Hebei Normal University, Shijiazhuang, ... (3.23) and (3.25)hold,wherem 0 , M 0 are the same as in Theorems 3.6 and 3.7.Then(1.1)haveat least one positive solution. Proof. By the proving process of Theorems 3.6 and 3.7, we can easily get this result.  Acknowledgments The...

Ngày tải lên: 22/06/2014, 00:20

... We investigated this question using the class of Boolean networks as models of genetic regulatory networks. Boolean networks and the more general class of proba- bilistic Boolean networks are popular approaches ... ranging from 10 to 40. There are total of 200 networks for each value of the sensitivity. The left columns of Figures 1–5 are the histograms of the distribution of the true state-transition error ... face of small sample sizes, particularly because the number of variables in the system (e.g., genes) typically greatly outnumbers the number of observations. Thus, estimates of the errors of a...

Ngày tải lên: 22/06/2014, 00:20

... Applications References [1] F. E. Browder, “Fixed-point theorems for noncompact mappings in Hilbert space,” Proceedings of the National Academy of Sciences of the United States of America, vol. 53, no. 6, pp. 1272–1276, 1965. [2] ... convergence of the sequence of successive approximations for nonexpansive mappings,” Bulletin of the American Mathematical Society, vol. 73, pp. 591–597, 1967. [13] K. Yanagi, “On some fixed point theorems ... Chen, Y. Song, and H. Zhou, “Convergence theorems for implicit iteration process for a fi- nite family of continuous pseudocontractive mappings,” Journal of Mathematical Analysis and Applications,...

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Ngày tải lên: 22/07/2014, 18:22

Ngày tải lên: 22/07/2014, 18:22