... unbeliev _le _ 10 Our cat kept interfer _g with my homework _ Final E Before Consonant Keep final silent e before a suffix beginning with a consonant amazement, atonement, hopeful, ... the ball in the end zone _ Our neighbor help _d us with the painting _ Is that package wrap _d well? _ Without water, the flowers droop _d _ 10 The wood ... Thursday, March, Independence Day (Note: The names of the seasons are not capitalized.) Titles Gone with the Wind, Better Homes and Gardens, “The Night the Ghost Got In” (Note: Articles—a, an, the—prepositions,...
Ngày tải lên: 23/10/2013, 13:20
... here ⁄ PROBLEMS WITH MODIFIERS 191 Don’t say this here or that there to describe a noun This here cake was made without eggs Don’t use more with an -er word (more wiser) or most with an -est word ... tonight Two: Juan isn’t going to have nothing to with you One: Juan is going to have nothing to with you One: Juan isn’t going to have anything to with you Two: Don’t never read the final pages ... iiiiiii x A tree (with green leaves) stands at the front gate Some people would mistakenly write stand in the belief that leaves is the subject It is not Expressions like with, together with, according...
Ngày tải lên: 23/10/2013, 13:20
Grammar And Usage For Better Writing - Problems with Pronouns
... indirect OBJECT Go with Maura and him (not he) to the flea market Say: Go with Maura Go with him Go with Maura and him (not he) Maura and him form a compound OBJECT of the preposition with Note the ... singular His her with or is singular Even though everybody “sounds” plural, it isn’t The use of their with everybody—or with any other word on the list—is incorrect in formal English With either ... gentle with their young Their refers to wolves Wolves is the antecedent of their Wolves is plural Therefore, their is plural EXERCISE In each sentence below, write a pronoun that agrees with its...
Ngày tải lên: 23/10/2013, 13:20
Grammar And Usage For Better Writing - Problems with Sentence Structure
... PROBLEMS WITH SENTENCE STRUCTURE 161 A gerund cannot make a complete sentence without a true verb NOT A SENTENCE: Winning the soccer match with a penalty kick SENTENCE: Winning the soccer match with ... sentence with a subordinate clause beginning with unless Unless Daria cleaned her room, she wasn’t allowed to have a television in it Write a simple sentence with a compound subject PROBLEMS WITH ... sentence with a subordinate clause beginning with that Write a simple sentence with a compound subject and a compound verb Write a compound sentence using or Write a simple sentence with a compound...
Ngày tải lên: 23/10/2013, 13:20
MEASURE and INTEGRATION Problems with Solutions
... sequence (En )n∈N in A such that lim En = ∅ with n→∞ lim µ(En ) = n→∞ Solution Since X is a infinite set, we can find an countably infinite set {x1 , x2 , } ⊂ X with xi = xj if i = j Let En = {xn , xn+1 ... (Lebesgue) measurable (ii) For every ε > 0, there exists an open set O ⊃ E with µ∗ (O \ E) ≤ ε L (iii) There exists a Gδ -set G ⊃ E with µ∗ (G \ E) = L Solution • (i) ⇒ (ii) Suppose that E is measurable ... (Lebesgue) measurable (ii) For every ε > 0, there exists an closed set C ⊂ E with µ∗ (E \ C) ≤ ε L (iii) There exists a Fσ -set F ⊂ E with µ∗ (E \ F ) = L Problem 18 Let Q be the set of all rational numbers...
Ngày tải lên: 23/02/2014, 19:32
Báo cáo khoa học: Reactions of gold(III) complexes with serum albumin docx
... Reaction with imidazole The interaction of [Au(bipyc-H)(OH)][PF6] 2.5 · 10)4 M and [Au(dien)Cl]Cl2 · 10)3 M with imidazole (in the ratio Ó FEBS 2003 Interactions of cytotoxic gold(III) complexes with ... of the interactions with proteins is limited to a few studies only, from which, notwithstanding, it emerges that the largest portion of administered platinum is associated with proteins Cole reported ... protein side chains At variance with this, the complexes with less pronounced oxidizing properties not give rise to significant redox chemistry but tend to form adducts with BSA that appear to be of...
Ngày tải lên: 07/03/2014, 21:20
challenging mathematical problems with elementary solutions
... probabilities - 20 VB Experiments with infinitely many possible outcomes - 27 VnL Experiments with a continuum of possible outcomes - 30 CHALLENGING MATHEMATICAL PROBLEMS WITH ELEMENTARY SOLurIONS Volume ... to see that the coin will lie entirely within the square ABCD if and only if its center lands within the square MNPQ of width a - d whose center coincides with that of the square ABeD and whose ... it lies (See fig 2a; the square on which the king lies is marked with a circle and the squares controlled by the king are marked with crosses.) A knight controls those squares which can be reached...
Ngày tải lên: 30/05/2014, 22:56
online storage systems and transportation problems with applications
... Online Situations with Lookahead 2.5.3.1 Definition of a Lookahead 2.5.3.2 An Algorithm with a Weak Lookahead, size 2.5.3.3 Algorithms with a Weak Lookahead, size 2.5.3.4 An Algorithm with a Strong ... So, in this section we describe algorithms with lookahead for the BPSP with (later we make a brief comparative analysis of algorithms with lookahead and without) Formal definitions of lookahead ... in each pair in the first object with number has type and the second object with number belongs to type For each type we define two functions: that provides us with information about the objects...
Ngày tải lên: 01/06/2014, 10:31
Báo cáo toán học: " Existence of positive solutions to discrete secondorder boundary value problems with indefinite weight" pptx
... lemma with ease Lemma 4.1 Suppose that u Î X and u ≡ 0on Tsatisfies (1.1) (or (1.3)) and there exists t0 ∈ Tsuch that u(t0) = 0, then u(t0 - 1)u(t0 + 1) < Proof of Theorem 4.1 First, we deal with ... problems with indefinite weight function Comm Part Diff Equ 5, 999–1030 (1980) doi:10.1080/03605308008820162 17 Afrouzi, GA, Brown, KJ: On principal eigenvlaues for boundary value problems with indefinite ... trivial solutions, where T : E ® E is a bounded linear operator and H(l, u) is continuous on ℝ × E with H(l, u) = o(༎ u ༎) near u = uniformly on bounded l intervals Gao et al Advances in Difference...
Ngày tải lên: 20/06/2014, 20:20
Báo cáo toán học: " Shrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach space" doc
... and Zembayashi [14] considered the following equilibrium problem: Let E be a smooth Banach space with dual space E* and C be a nonempty closed subset of E such that J(C) is a closed and convex ... of nonnegative integers and real numbers by Z+ and R, respectively Let E be a real Banach space with the dual space E* The norm and the dual pair between E and E* are denoted by ║·║ and 〈·,·〉, ... (3.1) and (3.2), it follows that J−1 (p∗ ) − J−1 (J(ω)), J(ω) − J(J−1 (p∗ )) = 0, this together with the strictly monotonicity of J yields that J-1(p*) = ω Therefore, the sequence {xn} converges...
Ngày tải lên: 20/06/2014, 21:20
Báo cáo hóa học: " Solvability of boundary value problems with Riemann-Stieltjes Δ-integral conditions for second-order dynamic equations on time scales at resonance" pptx
... boundary value problems with integral boundary conditions on time scales Motivated by the statements above, in this paper, we are concerned with the following boundary value problem with integral boundary ... Darboux-Stieltjes Δ-sum of f with respect the partition P, denoted by UΔ (P, f, g), is defined by n U (P, f , g) = M j gj , j=1 while the lower Darboux-Stieltjes Δ-sum of f with respect the partition ... Darboux-Stieltjes Δ-integral from a to b with respect to function g is defined by b ∫f (t) g(t) = inf U (P, f , g); a P∈P(I) the lower Darboux-Stieltjes Δ-integral from a to b with respect to function g is...
Ngày tải lên: 20/06/2014, 22:20
Báo cáo hóa học: " A Caccioppoli-type estimate for very weak solutions to obstacle problems with weight" potx
... weak solutions of the A-harmonic equations with w(x) ≡ have been considered [4], and the regularity theory for very solutions of obstacle problems with w(x) ≡ have been explored in [5] This paper ... http://www.journalofinequalitiesandapplications.com/content/2011/1/58 Page of The local and global higher integrability of the derivatives in obstacle problems with w(x) ≡ was first considered by Li and Martio [2] in 1994, using the so-called reverse Hölder ... |A(x, ξ )| ≤ βw(x)|ξ |p−1, where Suppose ψ is any function in Ω with values in the extended reals [-∞, +∞] and that θ Î W1,r(Ω, w), max{1, p -1}
Ngày tải lên: 20/06/2014, 22:20
báo cáo hóa học: " Sign-changing solutions for some nonlinear problems with strong resonance" pot
... of X with codim V
Ngày tải lên: 21/06/2014, 00:20
Báo cáo hóa học: " Existence of positive solutions to periodic boundary value problems with sign-changing Green’s function" ppt
... and super-linearity In [7], the author study (1) with f(t, u) = lb(t)f(u) under the following condition: (C) The Green function G(t, s) associated with problem (1) changes sign T andmint∈[0,T] G− ... periodic boundary value problem with vanishing Green’s function Appl Math Lett 21, 176–180 (2008) doi:10.1016/j.aml.2007.02.019 Webb, TRL: Boundary value problems with vanishing Green’s function ... sin ρ ρT , and γ = +∞, 0≤ρ≤
Ngày tải lên: 21/06/2014, 01:20
Báo cáo hóa học: " Research Article Boundedness and Nonemptiness of Solution Sets for Set-Valued Vector Equilibrium Problems with an Application" ppt
... } in Z1 × Z2 with un , → u0 , v0 such that R1 un , / {0} Since R1 un , is cone, we can select a sequence {dn } with dn ∈ R1 un , such that for every n 1, 2, As X is reflexive, without loss of ... convex subset of X with int barr K / ∅ Then there exists no sequence {xn } ⊂ K such that xn → ∞ and xn / xn Lemma 2.6 see 39 Let K be a nonempty closed convex subset of X with int barr K / ∅ ... there exists no sequence {dn } ⊂ K∞ with each dn Lemma 2.7 see 39 Let Z, d be a metric space and u0 ∈ Z be a given point Let L : Z → 2X be a set-valued mapping with nonempty values and let L be...
Ngày tải lên: 21/06/2014, 06:20
báo cáo hóa học:" Research Article Systems of Generalized Quasivariational Inclusion Problems with Applications in LΓ-Spaces" doc
... set For a map F : E Z with nonempty values, if a map G : D Z satisfies F ΓA ⊂ G A , ∀A ∈ D , 2.2 then G is called a KKM map with respect to F A KKM map G : D E is a KKM map with respect to the identity ... compact u.s.c map with nonempty closed Γ1 -convex values, i Yi is a compact continuous map with nonempty closed Γ2 -convex values, i iii Gi : X × Yi × Yi Zi is a closed map with nonempty values, ... Banach spaces with an application,” Computers & Mathematics with Applications, vol 41, no 7-8, pp 937–943, 2001 L.-J Lin, “Systems of generalized quasivariational inclusions problems with applications...
Ngày tải lên: 21/06/2014, 11:20
báo cáo hóa học:" Research Article Global Structure of Nodal Solutions for Second-Order m-Point Boundary Value Problems with Superlinear Nonlinearities" pot
... positive solutions of 1.1 , 1.2 with f0 ∞ However, to the best of our knowledge, there is no paper to discuss the global structure of nodal solutions of 1.1 , 1.2 with f0 ∞ In this paper, we obtain ... i m−2 i 1, , m − 2, with < αi < 1; A2 f ∈ C R \ {0}, R ∩ C R, R satisfies f s s > for s / 0; ∞; A3 f0 : lim|s| → f s /s A4 f∞ : lim|s| → ∞ f s /s ∈ 0, ∞ Let Y C 0, with the norm u ∞ max |u ... 0, then there exists a subcontinuum Cν of Σν with 0, ∈ Cν and k k k ProjR Cν k 0, ∞ 1.8 b If f∞ ∈ 0, ∞ , then there exists a subcontinuum Cν of Σν with k k 0, ∈ Cν , k ProjR Cν ⊆ k 0, λ1 f∞...
Ngày tải lên: 21/06/2014, 11:20
báo cáo hóa học:" Research Article Green’s Function for Discrete Second-Order Problems with Nonlocal Boundary Conditions ˇ Svetlana Roman and Arturas Stikonas ¯" pptx
... problem with discrete initial conditions We apply these results to BVPs with NBCs: first, we construct the Green’s function for classical BCs, then we can construct Green’s function for a problem with ... the problem with additional conditions and the fundamental basis of a homogeneous difference equation, then we can obtain Green’s function for a problem with the same equation but with other additional ... and allows us to find Green’s function for an equation with two additional conditions if we know Green’s function for the same equation but with different additional conditions Lemma 5.3 is a partial...
Ngày tải lên: 21/06/2014, 11:20