# Natural logarithms

Xem 1-17 trên 17 kết quả Natural logarithms
• ### Ebook 3,000 solved problems in calculus: Part 1

(BQ) Part 1 book "3,000 solved problems in calculus" has contents: Inequalities, absolute value, functions and their graphs, continuity, trigonometric functions and their derivatives, maxima and minima, related rates, rectilinear motion, the natural logarithm,... and other contents.

221p bautroibinhyen20 06-03-2017 7 2   Download

• ### Báo cáo toán học: "A natural series for the natural logarithm"

Tuyển tập các báo cáo nghiên cứu khoa học về toán học trên tạp chí toán học quốc tế đề tài: A natural series for the natural logarithm...

7p thulanh6 15-09-2011 20 1   Download

• ### Lecture Mathematics 53: Lecture 5.2 - UP Diliman

Lecture Mathematics 53 - Lecture 5.2 provides knowledge of the integrals yielding logarithmic and exponential functions. This chapter presents the following content: Integrals of f(x) = 1/x and of the other circular functions, integrals of exponential functions, the natural logarithmic function: A rigorous approach.

33p allbymyself_06 26-01-2016 4 1   Download

• ### Ebook Mathematics for economics and business (5th edition): Part 2

(BQ) Part 2 book "Mathematics for economics and business" has contents: Further optimization of economic functions, the derivative of the exponential and natural logarithm functions, functions of several variables, partial elasticity and marginal functions, comparative statics,...and other contents.

364p bautroibinhyen23 02-04-2017 3 1   Download

• ### Đề tài " An isoperimetric inequality for logarithmic capacity of polygons "

We verify an old conjecture of G. P´lya and G. Szeg˝ saying that the o o regular n-gon minimizes the logarithmic capacity among all n-gons with a ﬁxed area. 1. Introduction The logarithmic capacity cap E of a compact set E in R2 , which we identify with the complex plane C, is deﬁned by (1.1) − log cap E = lim (g(z, ∞) − log |z|), z→∞ where g(z, ∞) denotes the Green function of a connected component Ω(E) ∞ of C \ E having singularity at z = ∞; see [4, Ch. 7], [7, §11.1]. By an n-gon with...

28p tuanloccuoi 04-01-2013 33 7   Download

• ### A Mathematical Theory of Communication

THE recent development of various methods of modulation such as PCM and PPM which exchange bandwidth for signal-to-noise ratio has intensified the interest in a general theory of communication. A basis for such a theory is contained in the important papers of Nyquist1 and Hartley2 on this subject. In the present paper we will extend the theory to include a number of new factors, in particular the effect of noise in the channel, and the savings possible due to the statistical structure of the original message and due to the nature of the final destination of the information....

55p toad_prince9x 30-09-2011 47 16   Download

• ### Hanbool of Math Formulas P2

Natural Logarithms and Antilogarithms

20p thachsaudoi 23-12-2009 76 9   Download

• ### Basic Mathematics for Economists - Rosser - Chapter 14

14 Exponential functions, continuous growth and differential equations Use the exponential function and natural logarithms to derive the ﬁnal sum, initial sum and growth rate when continuous growth takes place. Compare and contrast continuous and discrete growth rates.

33p thegun16 26-11-2010 35 6   Download

• ### Đề tài " On the K-theory of local fields "

Topological Hochschild homology and localization 2. The homotopy groups of T (A|K) 3. The de Rham-Witt complex and TR· (A|K; p) ∗ 4. Tate cohomology and the Tate spectrum 5. The Tate spectral sequence for T (A|K) 6. The pro-system TR· (A|K; p, Z/pv ) ∗ Appendix A. Truncated polynomial algebras References Introduction In this paper we establish a connection between the Quillen K-theory of certain local ﬁelds and the de Rham-Witt complex of their rings of integers with logarithmic poles at the maximal ideal.

114p tuanloccuoi 04-01-2013 19 5   Download

• ### Đề tài " On the periods of motives with complex multiplication and a conjecture of GrossDeligne "

We prove that the existence of an automorphism of ﬁnite order on a Q-variety X implies the existence of algebraic linear relations between the logarithm of certain periods of X and the logarithm of special values of the Γ-function. This implies that a slight variation of results by Anderson, Colmez and Gross on the periods of CM abelian varieties is valid for a larger class of CM motives. In particular, we prove a weak form of the period conjecture of Gross-Deligne [11, p. 205]1 .

29p tuanloccuoi 04-01-2013 28 5   Download

• ### Đề tài " Logarithmic singularity of the Szeg¨o kernel and a global invariant of strictly pseudoconvex domains "

This paper is a continuation of Feﬀerman’s program [7] for studying the geometry and analysis of strictly pseudoconvex domains. The key idea of the program is to consider the Bergman and Szeg¨ kernels of the domains as o analogs of the heat kernel of Riemannian manifolds. In Riemannian (or conformal) geometry, the coeﬃcients of the asymptotic expansion of the heat kernel can be expressed in terms of the curvature of the metric; by integrating the coeﬃcients one obtains index theorems in various settings. ...

18p noel_noel 17-01-2013 22 5   Download

• ### Đề tài " Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers "

Annals of Mathematics This is the ﬁrst in a series of papers whereby we combine the classical approach to exponential Diophantine equations (linear forms in logarithms, Thue equations, etc.) with a modular approach based on some of the ideas of the proof of Fermat’s Last Theorem. In this paper we give new improved bounds for linear forms in three logarithms. We also apply a combination of classical techniques with the modular approach to show that the only perfect powers in the Fibonacci sequence are 0, 1, 8 and 144 and the only perfect powers in the Lucas sequence are 1...

51p noel_noel 17-01-2013 21 5   Download

• ### Đề tài " Cauchy transforms of point masses: The logarithmic derivative of polynomials "

Obviously, (1.2) implies the same estimate for M(Z(QN, P)). It was suggested in [2] that in this case the (1+logN) term could be omitted at the cost of multiplying by a constant. The above suggestion means that in the passage from the sum of moduli to the modulus of the sum in (1.1) essential cancellation should take place. As a contribution towards this end the authors showed that any straight line L intersects Z(QN, P) in a set FP of linear measure less than 2eP−1N. Further information about the complement of FP under certain conditions on {zk} is obtained in [1].

21p noel_noel 17-01-2013 18 5   Download

• ### The Arithmetic of Fundamental Groups

Mathematical theories and methods and effective computational algorithms are crucial in coping with the challenges arising in the sciences and in many areas of their application. New concepts and approaches are necessary in order to overcome the complexity barriers particularly created by nonlinearity, high-dimensionality, multiple scales and uncertainty. Combining advanced mathematical and computational methods and computer technology is an essential key to achieving progress, often even in purely theoretical research.

393p hotmoingay 03-01-2013 17 4   Download

• ### Chaos Theory Tamed

Virtually every branch of the sciences, engineering, economics, and related fields now discusses or refers to chaos. James Gleick's 1987 book, Chaos: making a new science and a 1988 one-hour television program on chaos aroused many people's curiosity and interest. There are now quite a few books on the subject. Anyone writing yet another book, on any topic, inevitably goes through the routine of justifying it. My justification consists of two reasons

405p tiramisu0908 31-10-2012 19 2   Download

• ### Báo cáo " Mutual authentication between RFID tag and reader using Elliptic curve cryptography "

This paper presents an approach related to authenticate mutually a RFID (Radio Frequency Identification) tag from a RFID reader by using the cryptography based on Elliptic curve. Our proposal mutual authentication lies on the Elliptic curve discrete logarithm problem, which is considered the core in order to fight against all of attacks like replay attack, forgery attack and man-in-the-middle attack. Scientifically, we prove not only the accuracy and the security of our approach, but also its performance in the mutual authentication between a RFID tag and a reader. ...

8p tuanlocmuido 13-12-2012 15 2   Download

• ### Digital Signal Processing An “A” to “Z”

Speech signals have a very wide dynamic range: Harsh “oh” and “b” type sounds have a large amplitude, whereas softer sounds such as “sh” have small amplitudes. If a uniform quantization scheme were used then although the loud sounds would be represented adequately the quieter sounds may fall below the threshold of the LSB and therefore be quantized to zero and the information lost. Therefore non-linear quantizers are used such that the quantization level at low input levels is much smaller than for higher level signals.

452p namde01 10-04-2013 26 7   Download