examples of comparison operators

... Dextran esters of ketoprofen, diclofenac, ibuprofen and fenoprofen have been studied, showing that the dextran ester prodrug approach provides selective colon delivery systems of drugs possessing ... development of nanoparticle systems usable for parental injection, the use of hydrogels, and the preparation of hydrolytically instable prodrugs that are of recent importance Because of the fact ... devices is one of the major developments in the field of therapeutics In addition to controlled release mechanisms accom- 188 10 Selected Examples of New Applications Fig 10.4 Percentage of released...

Ngày tải lên: 25/10/2013, 16:20

... reached two out of five mothers at least twice and just over half of all primary school children at least twice • 83% of coverage included tips on food hygiene, 83% included mentions of the schools ... who would campaign in favour of the amendment and table it on the floor of the House of Commons This included drafting speeches used in the House during the passage of the Bill • Identifying and ... practice • To encourage the teaching of food safety in the classroom • To raise awareness of and encourage basic food hygiene practice within the target group of 7-11 year olds Solution • Commission...

Ngày tải lên: 13/12/2013, 04:15

... some properties of a certain class of linear differential operators known as elliptic operators We investigate the behavior of this class of maps operating on the space of sections of a vector bundle ... Proof of the Invariance of the Index 23 23 24 25 27 32 Example: The Torus 36 A Elliptic Operators and Riemann-Roch 38 B An Alternate Proof of Elliptic ... sufficiently small perturbations of the operator L This is one of the claims of the Atiyah-Singer Index Theorem, which in addition to the invariance of the index of elliptic operators under sufficiently...

Ngày tải lên: 13/12/2013, 14:15

... the development of solution concepts 12 99 Examples of pneumatic applications Examples of pneumatic applications Examples are provided by problem solutions that have been taken out of their complex ... question of the right degree of automation Too much automation can soon prove costly! The degree of automation is the quotient of the sum of the weighted automated functions and the sum of the ... higher Fig 1: Collections of examples are not a modern invention The purpose of examples is above all to stimulate the imagination of engineers and provide suggestions of ways to find high-quality...

Ngày tải lên: 01/01/2014, 00:25

... of data – the first one is the dense mesh of reflection times and the second one is the measurement of rock structure depth at wells Let us note that the number of wells is usually small in comparison ... SurGe software there is an elevation model of mount Shasta in Northern California 74 Fig 5.7: Digital elevation model of mount Shasta in Northern California 5.8 Construction of model grid One of ... layer thickness maps and volume calculations One of the most important applications of SurGe in my profession are projects of geological models of underground gas storages (UGS) in the Czech Republic...

Ngày tải lên: 21/01/2014, 07:20

... placement of each postal code on a separate line and the presentation of “EDITOR OF THE WENTWORTH NEWS” on the envelope and the inclusion of “Kim Rogers” in the heading of the letter E Proportion of ... situation of being appreciative of the work of an animal shelter in caring for lost or abandoned pets While nearly all students referenced the “services” offered by the shelter, the role of volunteers, ... length and complexity of response has been considered 23 Student Exemplar – Proficient 24 Student Exemplar – Proficient 25 Student Exemplar – Proficient 26 Student Exemplar – Proficient 27 Rationale...

Ngày tải lên: 24/02/2014, 18:20

Ngày tải lên: 12/03/2014, 16:52

... and rates of failure The illustrative description of the development of a new generation of materials and devices capable of specific biological interactions to improve reconstruction of the spine ... Percutaneous Disc Decompression 27 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 ... reconstitution of diseased spinal segments are at the heart of this new reference text: Spinal Reconstruction: Clinical Examples of Applied Basic Science, Biomechanics and Engineering Improvement of these...

Ngày tải lên: 22/03/2014, 21:20

... Book of the Dead - the hieroglyphs, which contain both semantic and phonetic information, read, “the great god, foremost of the west, that he may give a good burial to the god’s father of Amun-Re, ... patriotic letter in the form of a rebus… but others become an integral part of our writing system … :) &#%$ © Writing is decoration as well as communication … There are all sorts of writing systems in ... 900 BCE Some of the 62 signs on the stone slab are repeated and none have been deciphered The stone measures 14 x inches, is about 5" thick, and weighs 26 lbs The last discovery of an unknown...

Ngày tải lên: 02/04/2014, 05:20

... after operation using a scale of 1–9 with ascending order of effort Score was equivalent to nonawareness of breathing effort at rest Score 1–3 was equivalent of awareness of gentle breathing effort ... consisted of three types (a) cases of Harrington rod on concave side, Luque rod on convex side and Wisconsin wire for the instrumented spinous processes (b) cases of ISOLA instrumentation consisted of ... ascending order of effort Score 4–6 was equivalent to feeling of breathlessness during exercise activities in ascending order of severity Score 7–9 was equivalent to feeling of breathlessness...

Ngày tải lên: 20/06/2014, 01:20

... There is a number of important admissible operators in Analysis For instance: Hardy operators, Hardy-Littlewood maximal operators, Riemann-Liouville, and Weyl fractional integral operators, maximal ... This is the purpose of this article The results We consider an operator T acting on real measurable functions f of one real variable and define a sequence {Tn}nÎℤ of local operators by Tn f (x) ... features that lead to explore the possibility of giving a general theorem characterizing the boundedness in weighted amalgams of a wide family of positive operators, and providing, in such a way,...

Ngày tải lên: 21/06/2014, 02:20

... − Au du − Bu uλ/ 1−μ −1 This evidently completes the proof of Theorem 2.1 In view of 1.19 , by similarly applying the method of proof of Theorem 2.1, we get the following result Corollary 2.2 ... 1−μ uλ/ 1−μ −1 du u z −→ −1 2.36 The proof of Theorem 2.4 is evidently completed With the aid of 1.19 , by applying the similar method of the proof of Theorem 2.4, we obtain the following result ... Qλ f z α,β μQλ Jυ f z α,β q z 1−μ Az zq z ≺ υ−1 Bz 2.22 The remainder of the proof of Theorem 2.3 is much akin to that of Theorem 2.1, we therefore choose to omit the analogous details involved...

Ngày tải lên: 21/06/2014, 06:20

... 2.30 Thus the proof of Theorem 2.14 is completed The following results can be obtained by using the same techniques as in the proof of Theorem 2.14 and so we omit the detailed proofs involved Theorem ... Noor, “Some properties of Noor integral operator,” Journal of Natural Geometry, vol 21, no 1-2, pp 81–90, 2002 11 K I Noor, “On new classes of integral operators, ” Journal of Natural Geometry, ... 2000 J H Choi, M Saigo, and H M Srivastava, “Some inclusion properties of a certain family of integral operators, ” Journal of Mathematical Analysis and Applications, vol 276, no 1, pp 432–445,...

Ngày tải lên: 21/06/2014, 20:20

... range of Q A subset C of E is said to be a sunny nonexpansive retraction of E if there exists a sunny nonexpansive retraction of E onto C, and it is said to be a nonexpansive retraction of E if ... obtain a strong convergence theorem The method of proof is closely related to 2, 3, 19 Theorem 3.1 Let {Ai : i ∈ Λ} : C → E be a finite family of accretive operators satisfying the following range ... NNSF of China no 60872095 , the NSF of Zhejiang Province no Y606093 , K C Wong Magna Fund of NIngbo University, NIngbo Natural Science Foundation no 2008A610018 , and Subject Foundation of Ningbo...

Ngày tải lên: 21/06/2014, 20:20

... δ; φ, ψ 2.23 Proof In view of 1.26 and Theorem 2.3, and by similarly applying the method of proof of Theorem 2.2, we conclude that the assertion of Theorem 2.4 holds A Set of Integral-Preserving ... 2.12 of Theorem 2.3 holds α,β By virtue of 1.22 and 2.1 , making use of the similar arguments of the details above, we deduce that MCλ η, δ; φ, ψ ⊂ MCλ α,β α 1,β η, δ; φ, ψ 2.22 The proof of Theorem ... applying the λ similar method of proof of the first part, we get g ≺ φ, that is f ∈ MSα 1,β η; φ Therefore, the second part of Theorem 2.1 also holds The proof of Theorem 2.1 is evidently completed...

Ngày tải lên: 22/06/2014, 02:20

... convex set of X, for example as K11 = K1 , then we can use a well-known result (Theorem 2.2) From here the statement of the theorem follows For the proof of case 3, one may use the proof of Theorem ... that the validity of results of this type also follows from results obtained by Phelps in [25] concerning the uniqueness of the extension of a linear functional to the whole of a Banach space ... that many works are devoted to the problem of type of the existence of an invariant subspace of the linear operator (see, e.g., [15–18], etc.) and one of the essential results is obtained in [16]...

Ngày tải lên: 22/06/2014, 19:20

... and 2.3 are the particular examples of Definition 2.1 Note that when m = 0, T A is just the commutator of Ft and A, while when m > 0, it is nontrivial generalizations of the commutators It is well ... obtain T A( f ) ˙ β,∞ Fq Dα A ≤C |α|=m ˙ ∧β f Lp (3.14) This completes the proof of (a) (b) By same argument as in proof of (a), we have |Q| Q T A ( f )(x) − T A f2 x0 dx Dα A ≤C |α|=m ˙ ∧β Mδ+β,r ... boundedness for a class of rough multilinear operators, Acta Mathematica Sinica English Series 17 (2001), no 3, 517–526 [8] S Janson, Mean oscillation and commutators of singular integral operators, Arkiv...

Ngày tải lên: 22/06/2014, 22:20

... over K gives the desired inequality (2.38) 12 Essential norm of composition operators The proof of Theorem 1.1 Now we turn to the proof of Theorem 1.1 In the following, we are dealing with the case ... in [8, 11] The remainder of the present paper is assembled as follows: in Section 2, we state some lemmas for the proof of Theorem 1.1 In terms of mapping properties of symbol φ, Lemmas 2.3, ... composition operators Cφ to be compact from p p q q Ꮾ p (U n )(Ꮾ0 (U n ) or Ꮾ0∗ (U n )) into Ꮾq (U n )(Ꮾ0 (U n ) or Ꮾ0∗ (U n )) The fundamental Essential norm of composition operators ideas of the proof...

Ngày tải lên: 22/06/2014, 22:20

... get (2.25) which concludes the proof of the lemma We are now ready to present the proofs of our main results Proofs of Theorems 1.3 and 1.6 Since the proof of Theorem 1.3 will rely heavily on ... < The proof of Theorem 1.6 is complete Proof of Theorem 1.3 We divide the proof of Theorem 1.3 into three separate cases Case (1 < γ ≤ 2) As we pointed in the introduction, the proof of this case ... the proof of Lemma 2.3 o We will need the following lemma which has its roots in [2, 13, 15] A proof of this lemma can be obtained by the same proof (with only minor modifications) as that of [2,...

Ngày tải lên: 22/06/2014, 22:20

... grateful to Professor Xue Zhiqun, for bringing out to the notice of the mistakes in the paper This work is partially supported by U G C Major Research Project Grant no F 8-8/2003 (SR) One of the authors ... Ishikawa iteration for the class of Zamfirescu operators, ” Fixed Point Theory and Applications, vol 2006, Article ID 49615, pages, 2006 G V R Babu: Department of Mathematics, Andhra University, ... Visakhapatnam 530 003, India Email address: gvr babu@hotmail.com K N V V Vara Prasad: Department of Mathematics, Dr L Bullayya College, Visakhapatnam 530 013, India Email address: knvp71@yahoo.co.in...

Ngày tải lên: 22/06/2014, 22:20