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...e index • Inflt = inflation • LR it = lending rate • Log (M2) it = broad money in logarithm • SMCI(-1) it = Lag of stock market composite inde... ...e index • Infl t = inflation • LR t = lending rate • Log (M2) t = broad money in logarithm • SMCI (t-1) = Lag of stock market composite index... ...n • LR INA = Indonesian lending rate • Log (M2) INA = Indonesian broad money in logarithm • Log(ER) INA = Exchange rate Indonesia to USD in ... ...inflation • LR MEX = Mexican lending rate • Log (M2) MEX = Mexican broad money in logarithm • SMCI MEX (-1) = Lag of Mexican stock market comp... ...R USA = United States’ lending rate • Log (M2) US = United States broad money in logarithm • SMCI US (-1) = Lag of United States stock marke... ...ion • LR AUS = Australian lending rate • Log (M2) AUS = Australian broad money in logarithm • SMCI(-1) AUS = Lag of Australian stock market c...

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... summarized in figure 4. Note that in both cases, the function grows at a logarithmic rate. In fact, on closer examination it can be seen that the ra... ...refore, the convergence is independent of the value of p. Furthermore, all logarithmic functions have a similar behavior, so in our testing, we are fr... ...e a similar behavior, so in our testing, we are free to choose the type of logarithm. In this case, we will use the logarithm to the base 10. Since S...

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...., proposed that the utility of money could be best measured by using the logarithm of the number of units of money. He hypothesized that the utilit... ...isk on one’s own and when to purchase an insurance policy? By Bernoulli’s logarithmic measure of utility, the expected payoff to the individual with... ... loss i.e. bankruptcy whereby f(X) ≥ X (Kahnemann and Tversky, 1979). The logarithm of zero is negative infinity, so f(X) = X could still possibly b... ...ngful mathematical expression can model this case under the assumption of logarithmic utility! Additionally, a very small probability of “in...

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... we have On the Smarandache pseudo-number 113 and Therefore Now taking logarithm on both sides of above, we get Use the same method, the followin...

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...he higher the entropy. Mathematically, the entropy is proportional to the logarithm of the compartment volume. Fig.38. Entropy Compartments in ...

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...00 1 88 175 262 349 436 523 610 697 784 871 958 n Zt(n) 6 Anyway using a logarithmic y axis a clear pattern emerges. We can see that the points of Z... ...m of reciprocals of Zt(n) function is asymptotically equal to the natural logarithm of n: = » » + » N 1 n 0.739 b and 0.9743 a where b ln(N) a Zt...

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...n 3) (5) Since p 3 log 3 p 2 log 2 < 1, (5) will be an improvement. The logarithmic mean of two positive numbers is L(a;b) = b a logb loga : It i... ...his relation, for example: p n+1 p n ! 1; (2) logp n logn ! 1: (3) Without logarithms, (1) and (3) have the form n n=pn !e; (4) p 1= logn n !e: (5) Fr... ...2), (42) follows from (41). Now, for (41) it is enough to prove (by taking logarithms) that p n+1 p n p n logn! 0, or, by using (1); that p n+1 p ... ...pn+1 p pn , we will prove rst that (logp n ) p p n+1 p pn ! 1: (47) By logarithmation, ( p p n+1 p p n ) log logp n = d n p p n + p p n+1 log lo... ... Now, the limit logp n+1 logp n p pn ! 1 (48) seems di cult. By taking logarithms, p p n log logp n+1 logp n ! 0 will follow, if we suppose th... ...or in nitely many n, in fact a slightly stronger result is obtainable. The logarithmic mean L(a;b) of two positive numbers a;b is de ned by L(a;b) = b... ...ath. Mag. vol.8(2000), No.1, 180-181. 13. J. S andor, On the identric and logarithmic means, Aequationes Math. 40(1990), 261-270. 254 11 On the leas... ...tive integer such thatG k (n m ) =m. Then 10 m 1 k nm < 10 m , which by logarithmation gives (m 1) log 10 n m logk m log 10; i.e. n m < m log 10...

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... 5. SFI(N) < (N/2) N - φ (N) * e (where e is base of natural logarithm 2.71828. . .) Proposition 1: Applying properties (3) and (5) w...

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...quenched mini superspace approximation, was con- structed in [18, 19]; the logarithmic corrections to the black hole entropy based on the geometry of ... ... . . , associated with the p-loops oscillations in Planck scale units. The logarithm of the degeneracy of the frst collective state of the C-space osc... ...ack hole entropy, with the upshot that one recovers, in a natural way, the logarithmic corrections to the black-hole entropy as well, if one identifes... ...l very important information about Black-holes Entropy and Holography. The logarithmic cor- rections to the Black-Hole Area-Entropy relation were ob- ...

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...each other. Think of the English language, basic business methods, tables of logarithms, the Pythagorean theorem, Shakespeare’s insights about human n...

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... from a Sahib’s point of view. ‘The books I do not want. Besides, they are logarithms– Survey, I suppose.’ He laid them aside. ‘The letters I do not u...

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... of this profession and to take the calculations at second hand, as you do logarithms, for to work them yourself, depend upon it, will cost you someth...

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...y, Patay, Cowpens, Saratoga, the Battle of the Boyne, the invention of the logarithms, the microscope, the steam engine, the telegraph—anything and ev...

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...t declared the necessity of eternal separation. But this law is not one of logarithms, and Felix Phellion, being incapable of guessing it, thought him... ... that I have always despised,— but for my famous ‘Treatise on Differential Logarithms’ (Kepler thought proper to call them monologarithms), which is a...

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... and then I do believe there’s some way of simplifying those ac- counts by logarithms, if I could but work it out. But my mother told me to walk, and ... ... serviceable when he came, we had an infinity of maggots about algebra and logarithms to drive out of his head; but now he really is nearly as good an...

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...and confinement; and 3 who had had down Metaphysics after ditto; and 1 who had had down Theology after ditto; and 4 who had worried Grammar, Po- litic...

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...-burnt match, an ivory block, three books, Where conic sections, spherics, logarithms, T o great Laplace, from Saunderson and Sims, ...

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... of this profession and to take the calculations at second hand, as you do logarithms, for to work them yourself, depend upon it, will cost you someth...

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...e first line, because mathematics are to me only a concept: I never used a logarithm in my life, and could not undertake to extract the square root of...

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...course, be tabulated according to these laws, mathematically, like tables of logarithms up to 108,000, and entered in an index; or, better still, ther... ...er the whole show and scatter rationalism to the winds, simply to send these logarithms to the devil, and to enable us to live once more at our own sw...

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...amphlets, and articles in the magazines, to make calculations, to refer to logarithms, to think and to write; then again to read, calculate, and think...

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...s limited to 71 John Dewey that act, be it bookkeeping or calculations in logarithms or experiments in hydrocarbons. One may be an authority in a par...

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....” She fidgeted, till Mr. Ernescliffe asked Norman if there was a table of logarithms in the house. “Oh, yes,” she answered; “don’t you know, Norman? ... ...dusting?” He was conscious of nothing but his book; however, she found the logarithms, and brought them to Mr. Ernescliffe, staying to look at his dra...