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Logarithmic integral function (X)

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 Book Id: WPLBN0002097093 Subjects: Non Fiction, Education, Smarandache Collections ► Abstract Description Details...dies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers and functions; and Some irrationality results. Chapter 1 deals essentially with geometric inequalities for the remarkable elements of triangles or tetrahedrons. Other themes have ... Full Text Search Details...sef Sándor GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS ************************************* AB/AC=(... ...A, ROMANIA Geometric Theorems, Diophantine Equations, and Arithmetic Functions Am... ...into ve chapters: Geometric the- orems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers and functions; and Some irrat... ...hough, they are of course, rationals). Clearly, if at least a height of an integral triangle (i.e. whose sides are all integers) is integer, or ration... ... that in this case the triangle is Heron. More precisely if a height of an integral triangle is rational, then this is a H-triangle. Indeed, by = xa... ...alla (especially, fora = even). In fact (19) is the exact condition on the integrality of h a in a H-triangle. For general H-triangle, the conditions ... ...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... ...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...
 Book Id: WPLBN0002097036 Subjects: Non Fiction, Education, Mathematics ► Abstract Table of Contents Details... the Background.87 -- 3.3 Additional Stereograms .91 -- 3.4 Possibilities for Additional Figures .92 -- Chapter 4 Constants Involving the Smarandache Function .95 -- Index.133 --... Full Text Search Details...itional Figures ………………….. 92 Chapter 4 Constants Involving the Smarandache Function …………………... 95 Index …………………. ………………… 133 5 Chapter 1 Sequences Fo... ..."Basevalues.txt"; static File output; static BufferedWriter out; /* This function converts the first input BigInteger into the String equivalent as ... ... theNumber=theNumber.divide(theBase); } return theReturn; } /* This function converts the input String into the decimal number equivalent using... ... 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... ...he purposes of programming simplicity, we will restrict our examination to integral values for α. The partial sums for the first 100 terms of the sequ... ...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...
 Book Id: WPLBN0002097084 Subjects: Non Fiction, Mathematics, Finances ► Abstract Description Details...n preferences involving financial structured products manufactured out of complex, multi-asset options. Evolutionary superiority of the Black-Scholes function in dynamic hedging scenarios is computationally demonstrated using a haploid genetic algorithm model programmed in Borland C. The work explores, both theoretically and computationally, the psycho-cognitive factors go... Full Text Search Details... ... 37 3. Exploring the Biological Basis of Utility Functions – Computational Implementation of a Genetic Algorithm ... ...ogical basis of the Black-Scholes -type expected utility functions ... ...mplex, multi-asset options. Evolutionary superiority of the Black-Scholes function in dynamic hedging scenarios is computationally demonstrated usin... ...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... ...ngful mathematical expression can model this case under the assumption of logarithmic utility! Additionally, a very small probability of “in... ...eous volatility at time t+j, in the required form as it appears under the integral sign in equation (1.1). This theorizes that volatility is ... ... conditional entropy as an effective lower bound while it is also the non-integral component of the upper bound of L. This underlines the relevance ...
 Book Id: WPLBN0001235228 Subjects: Non Fiction, Education, Security ► Abstract Full Text Search Details... all colors sought to safeguard their investment by taking over as many management functions as they could. Additionally, investments were small an... ...a good market, but also a good management. But his interpretation of the rolls and functions of "good management" are very different to that offere... ...o issue new products and to acquire new clients - money is abundant. These are the functions normally reserved to financial investors: Financial M... ...n itself to the inclusion of game altering or redefining moves by the players as an integral part of their strategies. After all, games entail the e... ...ntion its rules). It IS the game, it is a procedure, a way to resolve conflicts, an integral part of any solution and imputation, the herald of coop... ...res - Infra and hyper 8. Market (price) predictions a. The Linear Model b. The Logarithmic Model c. The Filter Model d. The Relative Strengt... ... + D P/ ED P ) · ( Pa-1-c - Pa-2-c + R ) Using a correlation coefficient. 23. The Logarithmic Model ( log CPn ) / ( log CPn-1 ) = Cumulative yiel... ...f share C = Counter ED P = Expected change in Price R = Random number 14. The Logarithmic model = cum. Y Sometimes, instead of P c we use ...
 Book Id: WPLBN0002097118 Subjects: Non Fiction, Education, Smarandache Collection ► Abstract Full Text Search Details... is given byF =m(U.∇U+DΔU). Recall that, after one has introduced the wave function ψ from the complex actionS=S R +iS I , namely,ψ= exp (iS/2mD)= √ P... ...be known only after having solved the Schr ¨ odinger equation for the wave function. This is a situation somewhat different from that of general relat... ...ler-Newton representation. In the end, the particle is described by a wave function (which is constructed, in the scale relativity theory, from the ge... ...tion is the Schr¨ odinger equation itself, that we have derived as a prime integral of the geodesics equation. The Schr¨ odinger equation is therefore... ...in-Gordon equation, λ 2 ∂ μ ∂ μ ψ+ψ =0. (36) Under its left hand form, the integral writes −λ 2 (∂ μ lnψ∂ μ lnψ+∂ μ ∂ μ lnψ)=1. (37) It becomes in ter... ...quenched mini superspace approximation, was con- structed in [18, 19]; the logarithmic corrections to the black hole entropy based on the geometry of ... ...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- ... ...+1)- dimensional) to antisymmetric tensor felds of rank p+1. The open line integral in C-space of the matter-feld interaction term in the action is ta...
 Book Id: WPLBN0001235170 Subjects: Non Fiction, Technology, Education ► Abstract Full Text Search Details...le, T is the numerical value of temperature in degrees F. • f{I} indicates function of I . • V{I} and V = f{I} refer to an equation or gr... ...r supply voltage (V PS ) or voltage operating range. (V PS may be specified as a function of I PS , or I PS may be specified instead of V PS ). ... ...at relates q and ∆ T TOTAL by using the specific q{∆ T} equations to substitute q functions for ∆ T 1 , ∆ T 2 , and ∆ T WALL in Eq. (7-15). • S... ...id flow behavior chart, Figure (16-1A), is a quantitative description of ∆ P{W} in logarithmic form. The logarithmic form is transformed to linear ... ...nal homogeneity is not unique to modern science. In various forms, it has been an integral part of science since the days of Aristotle. The ancie...
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