... conference and how they arrive at their decisions The mystique of the law also protects judges The idea that the law is an objective standard and that the justices are merely applying this standard ... pursuance of the Constitution -the supreme law of the land Judges were therefore obligated to observe and uphold the Constitution, not the conflicting law Both before and after Marbury, the debate ... to revert to the people The political problem of the compact concerns who wrote and signed on to thefundamental law: Was it the people or the states that concluded the compact! The issue of...
... c ∈ R and realize the above as a quadratic polynomial in c Since the coefficient of c2 is negative, the function is concave down By finding the zeros of this polynomial in terms of n and then maximizing ... Bm and m > , then (vj , vi ) ∈ Bm ; (ii) if (vi , vj ) ∈ Bm and ≤ m ≤ , then (vj , vi ) ∈ Bm+ ; (iii) if (vi , vj ) ∈ Bm and < m ≤ , then (vj , vi ) ∈ Bm− Thus we have Bm˘ = Bm+ for m ≤ Then ... superficial changes to the remainder of the proof we establish the result for the nonsymmetric case Thus we have the following: the electronic journal of combinatorics 15 (2008), #R49 Theorem Any finite...
... Clearly, if w ≈ w ′ , then either both w and w ′ are (primitive) G- (R-)words, or neither are; therefore, for all P ⊂ N, the set GP is determined by (and in bijection with) G|P | These permutations ... primitive R-word, then so are wL and wR Proof We will show that if w is a primitive G-word, then so is wL ; the other cases are all analogous If n = 3, then the conclusion is trivial Otherwise, let ... G-words and decreasing 012-trees (Theorem 7) and between R-words and decreasing 012-trees (Theorem 8) Our the electronic journal of combinatorics 16 (2009), #R82 constructions are of the same...
... x; y: (KBE) The variables t0 and x in KBE are called the backward variables In the case that a and are functions of x alone, pt0; t1 ; x; y depends on t0 and t1 only through their difference ... can use Itˆ ’s formula to prove the Feynman-Kac Theorem, and use o the Feynman-Kac Theorem to derive the Kolmogorov backward equation 16.6 Black-Scholes Consider the SDE dS t = rS t dt + S ... on t0 and t1 only through their difference t1 , t0 This is always the case when at; x and t; x don’t depend on t Example 16.4 (Geometric Brownian motion) Recall that the solution to the SDE...
... elected them, and on the other hand they are Bank officials devoted to the interests and concerns of the institution The Executive Board of Directors has the overall responsibility for the general ... within the powers of the Board to hire and fire the President, in fact he is appointed by the US and at the end of the day he is only accountable to the President of the United States andthe US ... members of the Board of Governors, which convenes twice a year, once in the Spring and once during the Annual Meetings of the World Bank andthe IMF The role of the Board of Governors is rather limited,...
... values from the other countries Therefore, the usefulness of accounting for firm valuation may differ across countries as well On the other hand, the accounting standards developed in these countries ... accounting standards in Indonesia, Malaysia, and Thailand (although Thailand has also been influenced by US GAAP) US GAAP, on the other hand, was the primary basis in the Philippines and Taiwan ... model Joos and Lang (1994) relate book value and earnings to stock prices for France, Germany, andthe UK Their sample covers 1982 to 1990, and they focus on the effects of implementing the accounting...
... how often they visited or walked by their first choice Once they had completed the ‘‘attractive’’ places section, participants were asked to place themselves on the other side of the aesthetic spectrum ... openness and spaciousness (128)512.71 Relationship between the Perceived Restorativeness Scale andthe aesthetic attributes A correlation analysis was performed between the aesthetic attributes andthe ... of 05 DISCUSSION The analysis of the characteristics of the most attractive and most unattractive places in the city TABLE Correlations between the aesthetic attributes andthe Perceived Restorativeness...
... each other The first, the cult of the Above, of the Blue Sky, was directed towards the sun andthe planets and stars intimately associated with sunrise and sunset, amongst them the Pleiades The ... another to Oco-telulco, the third to Tizatlan andthe fourth to Quiahuiztlan, that is to say, the men of the Mountains, the men of the Limepits, the men of the Pinetrees, andthe Watermen; all these ... preserve the straight line radiating from the centre and headed by the chieftains The measure of the dance and of the chorus chanted by the participants was beaten by the drums andthe musicians...
... scientific and engineering research, dedicated to the furtherance of science and technology and to their use for the general welfare Upon the authority of the charter granted to it by the Congress ... growth, and diffusion of benefits to the general population from innovative nodes in the economy and society The 1960s andthe 1970s saw tremendous swings from the latter to the former, setting the ... capabilities andthe ceilings on direct-hire staff and other personnel embedded in the agency; • The recent decline in long-term institution-building programs financed by the agency; and • The unique...
... understanding of whole numbers (ones, tens, hundreds, ), they may misunderstand the pattern of tens to the right of thedecimalnumbersand think of the first decimal place as oneths, the next ... looked at the tens, and they Students gain little understanding of quantity if they were the same Then I looked compare decimals by looking from digit to digit at the ones, and they were the Students ... which they shade tenths of fraction strips and express the shaded parts as fractions anddecimalnumbersThe activity helps students to understand decimal quantities andthe meaning of decimal- number...
... terms of the Frobenius coordinates of the diagrams λ+ and λ− Indeed, the diagram λ+ can be identified with the figure bounded by the horizontal line A0 , the vertical line x = 0, and by L Then the ... resemble the Poisson process but are close to theprocesses of the random matrix theory Now we proceed to a detailed description of the content of the paper (b) From harmonic analysis on U(∞) to a random ... , depending on the (N ) mutual location of L and Xin For instance, if these two sets coincide then X is the empty configuration, and if they not intersect then |X| = 2N Under the correspondence...
... Objectives and research questions The main objective of the study is the analysis of the key structural andfundamental changes underway in the global pulp and paper industry and to find out their ... on the context andthe business in question However, it seems that for this study andthe pulp and paper industry the positioning school andthe configuration school are the most relevant – they ... The reliability and validity of the results are discussed further in chapter 12 14 KEY THEORETICAL CONCEPTS The key theoretical concepts that the study is based on and previous research on the...
... definitions and some properties for the q-Bernoulli, Euler numbers, and polynomials related to the bosonic andthe fermionic p-adic integral on Zp In Section 3, we obtain the generating functions of the ... completes the proof Remark 3.2 The remarkable point is that the series on the right-hand side of Lemma 3.1 is uniformly convergent in the wider sense From (2.13 )and (2.14), we define the q-Bernoulli and ... where k ≥ and log is the p-adic logarithm Note that in (2.10), the term with i = is understood to be 1/log q (the limiting value of the summand in the limit i → 0) We now move on to the p-adic...
... applied directly to the skull for seconds The stereotaxic coordinates for the injury site were mm anterior of lambda and mm right of the midline The skin was sutured andthe animal was allowed ... represent the standard error of the mean (SEM) Results Histological comparison of the extent of injury in wild type and MT-I/II-/- mice The area of the injury site in a μm section taken from the widest ... time (0, 1, and days post-injury, DPI) and animals within these groups were randomised and placed in numbered cages to blind the strain of the mouse from the researchers Each mouse was housed...
... definitions and some properties for the q-Bernoulli, Euler numbers, and polynomials related to the bosonic andthe fermionic p-adic integral on Zp In Section 3, we obtain the generating functions of the ... completes the proof Remark 3.2 The remarkable point is that the series on the right-hand side of Lemma 3.1 is uniformly convergent in the wider sense From (2.13 )and (2.14), we define the q-Bernoulli and ... where k ≥ and log is the p-adic logarithm Note that in (2.10), the term with i = is understood to be 1/log q (the limiting value of the summand in the limit i → 0) We now move on to the p-adic...
... definitions and some properties for the q-Bernoulli, Euler numbers, and polynomials related to the bosonic andthe fermionic p-adic integral on ℤp In Section 3, we obtain the generating functions of the ... Section 4, we construct the q-analogue of the Riemann’s ζ-functions, the Hurwitz ζ-functions, andthe Dirichlet’s L-functions We prove that the value of their functions Kim and Kim Advances in Difference ... non-positive integers can be represented by the q-Bernoulli, q-Euler numbers, and polynomials q-Bernoulli, q-Euler numbersand polynomials related to the Bosonic andthe Fermionic p-adic integral on ℤp...
... = 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 numbersand q-Bernoulli numbers in the ... q-Euler polynomials J Physics A: Math Theor 43, 11 (2010) 255201 12 Kurt, V: further symmetric relation on the analogue of the Apostol-Bernoulli andthe analogue of the Apostol-Genocchi polynomials ... relations between the twisted Carlitz’s q-Bernoulli numbersand 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...
... to the manuscript and read and approved the finial manuscript Competing interests The authors declare that they have no competing interests Acknowledgment The authors would like to express their ... dμ−q (x) qα (18) n−k (α) (−1)l El+k,q l Therefore, by comparing the coefficients on the both sides of (17) and (18), we obtain the following theorem Theorem For n, k Î ℤ+ with n > k, we have ... http://www.journalofinequalitiesandapplications.com/content/2011/1/64 Page of Theorem is important to study the relations between q-Bernstein polynomials andthe weighted q-Euler number in the next section...