... certainly be (at least) slightly improved There is however a notorious difficulty in (3) and (4), namely the existence of solutions 12 − = (−1)p and F1 = 1p for each value of the exponent p These ... 8.2 takes only a few seconds Later on we will prove a much better bound for p in the Lucas case, namely p ≤ 283, but we not need such a good bound for the proof of Proposition 8.2 8.1 Level-lowering ... over Q(i) by any root of either of the following two monic polynomials with coefficients in Z[i], namely Y p − (2 + i)(2 − i)p−1 and Y p − (2 − i)(2 + i)p−1 Since the discriminant D1 (viewed as...
... ratio had begun to gather special names even before Luca Pacioli (1445–1514), another medieval mathematician, called it “divine proportion.” Among its contemporary names are “golden section” and ... Trading Concept All of the information that comes over the tickers, from newsletters, and through the Internet is already old when we receive it There will always be someone with faster access who can ... the PHI-ellipse provides another way to analyze price moves What makes it unique is that it is dynamic over time and follows price patterns as they develop That is why it is necessary to be patient...
... the 2-modular diagram 2 2 2 2 2 2 2 2 2 2 the electronic journal of combinatorics 10 (2003), #R34 Namely, σ(λ) = (19, 13, 6, 5, 3) Clearly, the number of rows in the diagram of λ is (λ), while the...
... (The First Rogers-Ramanujan Identity) also has a well-known interpretation in terms of partitions, namely, that if A(n) denotes the number of partitions of n into distinct parts with a gap of at ... part of the hybrid proofs given in the paper, we have used only the simplest of all bijections, namely, conjugation It is likely that other bijections will lead to hybrid proofs of other basic...
... process, but it is obligatory for the continuous progress of catalytic cycles [14–16] Adenosylcobinamide methyl phosphate, an analog of AdoCbl lacking the nucleotide loop moiety, does not show detectable ... irreversible cleavage of its Co–C bond, forming an enzyme-bound Co(II)-containing species Adenosylcobinamide neither functions as a coenzyme nor binds tightly to apoenzyme It is thus evident that the ... showed that the enzyme exists as a dimer of heterotrimers and binds cobalamin in the ‘base-on’ mode, namely with a 5,6-dimethylbenzymidazole moiety coordinating to the cobalt atom [18], as suggested...
... and ps (n) for s = 0, 1, and ≤ n ≤ 20 The values of four of these table entries appear in OEIS1 , namely a0 (n) = A046699, a1 (n) = A006949, d0 (n) = A079559, and p0 (n) = A101925 = A005187(n) + ... is the greedy algorithm for constructing Tn,h • If n = h + 1, then there is only one tree/code, namely h, h, h − 1, , 2, • Given Tn,h the code Tn,h is obtained by replacing the leftmost level...