dates numbers and i18n

Ngày tải lên: 25/10/2013, 06:20

... – NUMBERS AND OPERATIONS REVIEW – Practice Question The number –16 belongs in which of the following sets of numbers? a rational numbers only b whole numbers and integers c whole numbers, ... factor shared by 28 and 21 Practice Question What are the common factors of 48 and 36? a 1, 2, and b 1, 2, 3, and c 1, 2, 3, 6, and 12 d 1, 2, 3, 6, 8, and 12 e 1, 2, 3, 4, 6, 8, and 12 Answer c ... Median, and Mode To find the average, or mean, of a set of numbers, add all of the numbers together and divide by the quantity of numbers in the set mean ϭ sum of numbers in set ᎏᎏᎏ quantity of numbers...

Ngày tải lên: 02/11/2013, 18:20

... another command prompt Step Start a fourth Telnet session to router by opening another command prompt Step 10 Check the number of sessions on the host a Open another command prompt on the host and type ... port numbers 3-5 CCNA 2: Routers and Routing Basics v 3.0 - Lab 10.2.5 Copyright  2003, Cisco Systems, Inc Erasing and reloading the router Enter into the ... with the proper IP address, subnet mask and default gateway Step Allow HTTP access to the router a Allow HTTP access by issuing the ip http server command in global configuration mode Step Use...

Ngày tải lên: 11/12/2013, 14:15

... number of sessions on the host a Open a command prompt on the host and type netstat /? at the DOS prompt b What options are available for the netstat command? ... access by issuing the ip http server command in global configuration mode Step Use the workstation browser to access the router a Open a browser on Host and type http://ip-address of Router GAD ... information from the privileged exec command mode GAD# copy running-config startup-config Step Configure the host with the proper IP address, subnet mask and default gateway Step Allow HTTP access...

Ngày tải lên: 11/12/2013, 14:15

... Ph and y j = Pth, and, since I a ;" + cq*n I < 2, Take now for m the smallest integer such that h being a positive integer such that ~ l + ~ ! + ' ' + y k - < i l + Since a = 7-I and and the numbers ... the definitions and the results (though elementary) borrowed from algebra and from number theory I wish to express my thanks to Dr Abram L Sachar, President of Brandeis University, and to the Department ... THEOREM set o all numbers having the preceding property is denumerable PROOF We again write A& = 4, + en where a, is an integer and c, I = (1 XOn 11 We have and, since we have and an easy calculation...

Ngày tải lên: 31/03/2014, 15:08

... CONGRUENCES AND MODULAR EQUATIONS Proposition 1.4 The set Z/n with the operations + and × is a commutative ring and the n n function πn : Z −→ Z/n is a ring homomorphism which is surjective (onto) and ... first summand is {±1} and the second can be taken to be Now for a general n we have n = pr1 pr2 · · · prs s where for each i, pi is a prime with and ri p1 < p < · · · < p s Then the numbers pi ... (a) ≡ r p2r−1 p Then there exists a ∈ Z such that f (a ) ≡ p2r+1 and a ≡ a r p and a ∈ Z, CHAPTER The p-adic norm and the p-adic numbers Let R be a ring with unity = 1R Definition 2.1 A function...

Ngày tải lên: 31/03/2014, 15:19

... IN NUMBERS statement (1) let's just PICK A WHOLE BUNCH OF NUMBERS WHOSE GCF IS and watch what happens let's try to make the numbers diverse say, and 6 and 8 and 10 10 and 12 and 10 and 14 and ... 3, 2, and and share only as a factor and share only as a factor and share only as a factor and share only as a factor There are four positive integers, therefore, that are both less than and share ... between m and r, imagine m and r both starting out at 12, and 'sliding' equally in opposite directions, with r moving to the right and m moving to the left (you can't slide r to the left and m to...

Ngày tải lên: 14/05/2014, 16:55

... q-Bernoulli numbers and polynomials Duke Math J 15, 987–1000 (1948) [2] Carlitz, L: q-Bernoulli and Eulerian numbers Trans Am Math Soc 76, 332–350 (1954) [3] Kamano, K: p-adic q-Bernoulli numbers and ... q-Bernoulli and q-Euler numbers and polynomials and a class of generalized q-Hurwitz zeta functions Appl Math Comput 215(3), 1185–1208 (2009) [12] Kim, T: On the analogs of Euler numbers and polynomials ... eB(q)t k! and Gq (t) = Ek (q) k=0 tk = eE(q)t , k! where the symbol Bk (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...

Ngày tải lên: 18/06/2014, 22:20

... (white bars) and wild type mice (grey bars) standardised to injury area Neutrophil numbers (A) were determined by NIMP-14 immunoreactivity Microglial and monocyte derived macrophages numbers (B) ... fluorescence threshold (CT) GAPDH mRNA was used as the house keeping gene and MT-I and MT-II mRNA copy numbers were standardized to the copy number of the house-keeping gene, GAPDH Plasma cytokine ... Neutrophil numbers were greatly diminished at DPI and mostly absent from the injury site at DPI No significant differences were found between neutrophil numbers in the injury site of wild-type and MT-I/II...

Ngày tải lên: 19/06/2014, 22:20

... q-Bernoulli numbers and polynomials Duke Math J 15, 987–1000 (1948) [2] Carlitz, L: q-Bernoulli and Eulerian numbers Trans Am Math Soc 76, 332–350 (1954) [3] Kamano, K: p-adic q-Bernoulli numbers and ... q-Bernoulli and q-Euler numbers and polynomials and a class of generalized q-Hurwitz zeta functions Appl Math Comput 215(3), 1185–1208 (2009) [12] Kim, T: On the analogs of Euler numbers and polynomials ... eB(q)t k! and Gq (t) = Ek (q) k=0 tk = eE(q)t , k! where the symbol Bk (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...

Ngày tải lên: 20/06/2014, 04:20

... integers can be represented by the 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, ... q-Bernoulli, q-Euler numbers, and polynomials In the complex case, we shall explicitly determine the generating function Fq(t) of qBernoulli numbers and the generating function Gq(t) of q-Euler numbers: ... (1991) doi:10.1016/0022-314X(91)90048-G 11 Choi, J, Anderson, PJ, Srivastava, HM: Carlitz’s q-Bernoulli and q-Euler numbers and polynomials and a class of generalized q-Hurwitz zeta functions...

Ngày tải lên: 20/06/2014, 21:20

... Bn,ξ = and n = 1, n > 1, (5) with the usual convention about replacing Bn by Bn,ξ (see [17-19]) Recently, several ξ authors have studied the twisted Bernoulli numbers and q-Bernoulli numbers ... 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 ... 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 q ∈ Cp with |1 - q|p < Let...

Ngày tải lên: 20/06/2014, 22:20

... 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, ... 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 ... 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...

Ngày tải lên: 20/06/2014, 22:20

... http://www.advancesindifferenceequations.com/content/2011/1/33 Page of q-Bernoulli numbers and q-Bernoulli polynomials revisited In this section, we perform a further investigation on the q-Bernoulli numbers and qBernoulli polynomials given ... Acikgöz, Erdal and Araci derived some results by using Theorems 1-3 Hence, the other results are incorrect Now, we redefine the generating function of q-Bernoulli numbers and polynomials and correct ... Bernoulli numbers from Definition for any q In particular, by (1) and (2), we get qDq (t, 1) − Dq (t) = t (7) Thus, by (7), we have qBn,q (1) − Bn,q = 1, if 0, if n = 1, n > 1, (8) and n n l−1...

Ngày tải lên: 20/06/2014, 22:20

... the Euler and the Genocchi numbers and polynomials,” Advanced Studies in Contemporary Mathematics (Kyungshang), vol 20, no 1, pp 23–28, 2010 T Kim, “A note on the q-Genocchi numbers and polynomials,” ... polynomials attached to χ by using the generating function of those numbers and polynomials Generalized q-Genocchi Numbers and Polynomials For r ∈ N, let us consider the q-extension of the generalized ... generalized Genocchi numbers and polynomials attached to χ The purpose of this paper is to present a systemic study of some families of higher-order generalized q-Genocchi numbers and polynomials...

Ngày tải lên: 21/06/2014, 05:20

... related to the q-Bernoulli numbers and q-Bernoulli polynomials and give a new construction of these numbers and polynomials related to the second kind Stirling numbers and q-Bernstein polynomials ... polynomials at negative integers and are associated with q-Bernstein polynomials New Approach to q-Bernoulli Numbers and Polynomials Let N be the set of natural numbers and N∗ q-Bernoulli polynomials ... “q-Bernstein polynomials associated with q-Stirling numbers and Carlitz’s q-Bernoulli numbers, ” Abstract and Applied Analysis in press 15 T Kim, L.-C Jang, and H Yi, “A note on the modified q-Bernstein...

Ngày tải lên: 21/06/2014, 07:20

... the higher-order Carlitz’s type q-Bernoulli numbers and polynomials in the p-adic number field On the Generalized Higher-Order q-Bernoulli Numbers and Polynomials In this section, we assume that ... 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 ... 2008 Journal of Inequalities and Applications 17 17 E.-J Moon, S.-H Rim, J.-H Jin, and S.-J Lee, “On the symmetric properties of higher-order twisted q-Euler numbers and polynomials,” Advances...

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

... T Kim, “On the multiple q-Genocchi and Euler numbers, ” Russian Journal of Mathematical Physics, vol 15, no 4, pp 481–486, 2008 T Kim, “q-Bernoulli numbers and polynomials associated with Gaussian ... t n! By Laurent series and Cauchy residue theorem in 3.1 and 3.3 , we obtain the following theorem Theorem 3.2 Let χ be Dirichlet’s character with odd conductor d ∈ N, and let ζ h, s ∈ C, x / ... gamma functions and related integrals,” Journal of Number Theory, vol 76, no 2, pp 320–329, 1999 T Kim, “Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the...

Ngày tải lên: 21/06/2014, 16:20

... studied by Cenkci and Can , Kim 4–12 , and Ozden et al 16–18 This research for q-Euler numbers seems to be motivated by Carlitz who had constructed the q-Bernoulli numbers and polynomials for ... physics, and so on see 3–18 The purpose of this paper is to give a new construction of the q-extensions of Euler numbers and polynomials It is expected that new constructed q-Euler numbers and polynomials ... made a wider and deeper study of the q-number up to recently see 1–18 In the field of number theory and mathematical physics, zeta functions and l-functions interpolating these numbers in negative...

Ngày tải lên: 21/06/2014, 18:20