some numbers are odd and some are odder

... employment numbers for both men and women were manufacturing, which had about 300 000 women and 650 000 men in both surveyed years, and the public sector (non-defence), which employed 650 000 women and ... also made gains in both the finance/banking industries and in the defence-related public sector Whereas some 125 000 women worked in finance and banking institutions in 1975, the number increased ... decades between 1975 and 1995 brought significant changes in the representation of women in Freedonia's work force, according to the graphs In 1975, for example, some 300 000 men and 250 000 women...

Ngày tải lên: 04/10/2012, 10:02

... range X is and that the sizes of the ranges X and Y are (always) equal (see for example the subsequent predicates len and eq), we can conclude that (•XaY, i - 3) and ( X a Y , i + 4) are also ... position and the current position (:/'1 and T2 are bound to ranges of size one which refer to tr and tc respectively) while the second and fourth arguments denote the strings in which the searches are ... if the first and third argument are respectively W a Y and a Y (see the third clause) Last, the whole process is initialized by the first clause The first and third argument of A are equal, since...

Ngày tải lên: 31/03/2014, 21:20

... of vertices Section discusses distinguishing numbers of general group actions in more detail The distinguishing numbers of some common group actions are computed, including translations as well ... distinguishing numbers By contrast, Albertson and Collins showed that no graph has automorphism group S4 and distinguishing number in [AC1] Section uses group actions to compute distinguishing numbers ... number of a group action and compute it for some examples, including translation and conjugation actions We demonstrate two different ways to construct a labelling orbit-by-orbit and show how these...

Ngày tải lên: 07/08/2014, 08:20

... which consists of trees and forests We are not the first ones to this; for example, the distinguishing numbers of cycles, paths, complete graphs and hypercubes [3, 4] are already known Unlike ... 2.1 Let T be a rooted tree, π ∈ Aut(T ), and v be a vertex of T The following are true: a π maps the ancestry of v (i.e., its parent p(v), its grandparent p(p(v)), etc.) generation by generation, ... number of trees and forests when the number of vertices is fixed at n and so their distinguishing numbers can range from to n Nonetheless, we shall show that the distinguishing numbers of acyclic...

Ngày tải lên: 07/08/2014, 13:21

... uk+1) and v = (v1 , , vk+1) are adjacent if and only if there exists some index i such that uj = vj for all j < i, ui = vi , and uj = vi and vj = ui for all j > i Lemma 15 The graphs Gk and Inf ... k, and fix(Γ) = {1, , k} 3.2 Symmetric groups The inflation of a graph G, Inf(G), is a graph with a vertex for each ordered pair (v, e), where v and e are a vertex and an edge of G, and v and ... suppose that v and u are adjacent vertices of Inf k (Kn ) By the definition of inflation, v = (v ′ , e′ ) and u = (u′, d′ ) for two vertices v ′ and u′ in Inf k−1(Kn ) and two edges e′ and d′ in Inf...

Ngày tải lên: 07/08/2014, 21:21

... established and made clearer 1.9.1 Numbers in English Because the study is concerned with only idioms containing cardinal numbers and ordinal numbers, only cardinal and ordinal numbers are taken ... Numbers: Their history and meaning”, cardinal numbers are the basic numbers used for counting such as one, two or nine Ordinal numbers are used for indicating order The majority of ordinal numbers ... expressions containing numbers In daily life of Vietnamese and English, I see that numbers have certain significance People admire some numbers and vice versa All of those are factors that give...

Ngày tải lên: 02/03/2015, 14:26

... Alive and kicking, sick and tired, spick and span, etc - Pairs of nouns: the thrills and spills, the ins and outs, body and soul - Pairs of adverbs: first and foremost, more or less, now and again ... - Numbers: + Back to square one + One in the thousand + Kill two birds with one stone - Parts of body: + Cost someone an arm and a leg + See the back of something + Keep an eye on something/someone ... history and Page | 23 meaning”, cardinal numbers are the basic numbers used for counting such as one, two or nine Ordinal numbers are used for indicating order The majority of ordinal numbers are...

Ngày tải lên: 17/07/2015, 10:57

... tasks are receiving and making phone calls I listen to the customers’ demands and answer their questions if I can, or I will transfer to the right counselors and C.O Sometimes the people in demand ... international standard training programs to upgrade their soft and hard skills for working and studying Courses currently run by StudyLink include: Health Safety and Environment (HSE), Project and Process ... Auckland and Singapore, who assist students with arrival orientation and ongoing welfare support In addition to the Study Abroad business, the company offers Training Solutions to corporate and...

Ngày tải lên: 05/04/2013, 22:29

... Crain and Lee (1999), Kreft and Sobel (2005), Ashby (2007), Campbell and Rogers (2007), Ashby and Sobel (2008), Hall and Sobel (2008), Reed (2008) 287 Cato Journal area includes counties in Maryland, ... Low-Tax Metro Areas Grew Faster Than High-Tax Metro Areas Cato Journal Why Some Cities Are Growing FIGURE State and Local Taxes Are Negatively Correlated with Employment Growth State and Local Taxes ... Orlando, and Orlando’s growth has been twice as fast Table focuses on pairs of metro areas that are in relatively close geographic proximity As Tables and illustrated, some of the lowest-tax and highest-growth...

Ngày tải lên: 08/03/2014, 06:20

... your customers happy answer all their questions and ask for a referral – it is that simple Every small business owner’s goal is to profit and expand, and without marketing, this is not going to happen ... maturity phase and finally an eventual period of decline as sales fall Marketers must careful research on how long the life cycle of the product they are marketing is likely to be and focus their ... company's profit and hence, survival Adjusting the price has a profound impact on the marketing strategy, and depending on the price elasticity of the product, often it will affect the demand and sales...

Ngày tải lên: 15/05/2015, 12:39

Ngày tải lên: 27/08/2016, 13:26

... up and the airways widen An implication for primary care as well as hospital care from this study is not to underestimate the importance of good communication between the patient and the care-giver ... an inventory of hospital and PHC-diagnosed childhood asthma in a sizeable whole birth-year cohort from a defined affluent geographical area and followed up to the age of and 10 years The study ... general, self-reports are reliable and well established (24) Almost all diagnoses were made at the paediatric clinic at the University hospital and only a small fraction, % at primary care However, the...

Ngày tải lên: 26/10/2012, 09:48

... q-Euler numbers and polynomials related to the Bosonic and the Fermionic p-adic integral on Zp In this section, we provide some basic formulas for p-adic q-Bernoulli, p-adic q-Euler numbers and polynomials ... (q) and Ek (q) are interpreted to mean that (B(q))k and (E(q))k must be replaced by Bk (q) and Ek (q) when we expanded the one on the right, respectively, since [x + y]k = ([x]q + q x [y]q )k and ... (t, x) → Fχ (t, x) and Gq,χ (t, x) → Gχ (t, x), where Fχ (t, x) and Gχ (t, x) are the usual generating function of generalized Bernoulli and Euler numbers, respectively, which are defined as follows...

Ngày tải lên: 18/06/2014, 22:20

... q-Euler numbers and polynomials related to the Bosonic and the Fermionic p-adic integral on Zp In this section, we provide some basic formulas for p-adic q-Bernoulli, p-adic q-Euler numbers and polynomials ... (q) and Ek (q) are interpreted to mean that (B(q))k and (E(q))k must be replaced by Bk (q) and Ek (q) when we expanded the one on the right, respectively, since [x + y]k = ([x]q + q x [y]q )k and ... (t, x) → Fχ (t, x) and Gq,χ (t, x) → Gχ (t, x), where Fχ (t, x) and Gχ (t, x) are the usual generating function of generalized Bernoulli and Euler numbers, respectively, which are defined as follows...

Ngày tải lên: 20/06/2014, 04:20

... q-Bernoulli, q-Euler numbers, and polynomials q-Bernoulli, q-Euler numbers and polynomials related to the Bosonic and the Fermionic p-adic integral on ℤp In this section, we provide some basic formulas ... q ® in (4.6) and (4.7), we have Fq,c(t, x) ® Fc(t, x) and Gq,c(t, x) ® Gc(t, x), where Fc(t, x) and Gc(t, x) are the usual generating function of generalized Bernoulli and Euler numbers, respectively, ... (1:8) where Bk are Bernoulli numbers The Euler numbers and polynomials (so-named by Scherk in 1825) appear in Euler’s famous book, Institutiones Calculi Differentialis (1755, pp 487-491 and p 522)...

Ngày tải lên: 20/06/2014, 21:20

... the twisted q-Bernoulli numbers and polynomials related to q-Bernstein polynomials From these properties, we derive some new identities for the twisted q-Bernoulli numbers and polynomials Final ... give some relations between the twisted Carlitz’s q-Bernoulli numbers and q-Bernstein polynomials On the twisted Carlitz ‘s q-Bernoulli numbers In this section, we assume that n Î ℤ+, ξ Î Tp and ... Y-H: Some identities on the q-Bernstein polynomials, q-Stirling numbers and q-Bernoulli numbers Adv Stud Contemp Math 20, 335–341 (2010) 11 Kim, T: Barnes type multiple q-zeta functions and q-Euler...

Ngày tải lên: 20/06/2014, 22:20

... on ℤp and investigate some new identities on the weighted q-Euler numbers related to the weighted q-Bernstein polynomials q-Euler numbers with weight a In this section we assume that a Î N and ... T: The modified q-Euler numbers and polynomials Adv Stud Contemp Math 16, 161–170 (2008) Kim, T: Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic ... q-Euler numbers and polynomials Proc Jangjeon Math Soc 14, 7–14 (2011) 14 Kim, T, Choi, J, Kim, YH: q-Bernstein polynomials associated with q-Stirling numbers and Carlitz’s q-Bernoulli numbers, ...

Ngày tải lên: 20/06/2014, 22:20

... in the different several areas related to qtheory see 1–13 In this paper, we present a systemic study of some families of multiple Carlitz’s type q-Bernoulli numbers and polynomials by using ... First, we derive some interesting equations of p-adic q-integrals on Zp From these equations, we give some interesting formulae for the higher-order Carlitz’s type q-Bernoulli numbers and polynomials ... 1798–1804, 2009 L Carlitz, “q-Bernoulli numbers and polynomials,” Duke Mathematical Journal, vol 15, pp 987–1000, 1948 L Carlitz, “q-Bernoulli and Eulerian numbers, ” Transactions of the American...

Ngày tải lên: 21/06/2014, 07:20

... functions and related integrals,” Journal of Number Theory, vol 76, no 2, pp 320–329, 1999 T Kim, J Choi, and Y.-H Kim, Some identities on the q-Bernstein polynomials, q-Stirling numbers and q-Bernoulli ... authors cf 8, and the f x n We have references given there For n ∈ N, write fn x n−1 I1 fn f l I1 f 2.3 l This identity is to derives interesting relationships involving Bernoulli numbers and polynomials ... Mathematics-Modelling and Simulation In press M Acikgoz and S Araci, “On the generating function of the Bernstein polynomials,” in Proceedings of the 8th International Conference of Numerical Analysis and Applied...

Ngày tải lên: 21/06/2014, 11:20