The natural logarithm

Part 1 book "Calculus and its applications" includes content: Unctions, the derivative, applications of the derivative, techniques of differentiation, the exponential and natural logarithm functions, applications of the exponential and natural logarithm functions.

314p muasambanhan05 16-01-2024 1 0   Download

Ebook 3000 solved problems in calculus: Part 2 includes contents: Chapter 22 volume; chapter 23 the natural logarithm; chapter 24 exponential functions; chapter 25 L'Hopital's rule; chapter 26 exponential growth and decay; chapter 27 inverse trigonometric functions; chapter 28 integration by parts; chapter 29 trigonometric integrands and substitutions; chapter 30 integration of rational functions: the method of partial fractions; chapter 31 integrals for surface area, work, centroids; chapter 32 improper integrals;… Please refer to the documentation for more details.

286p haojiubujain01 06-06-2023 3 2   Download

This article presents building an Elliptic curve cryptography and using it to encode and decode Vietnamese text. Here we have illustrated the prime number p = 151 in the future, which will use a large prime number. We consider an elliptic curve with a total score of 172 points. Encode and decode with standard Vietnamese text and combine with the special characters in ASCII code.

8p larachdumlanat127 20-12-2020 19 0   Download

Lecture 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.

20p larachdumlanat122 26-11-2020 16 1   Download

The aim of this study was to establish and validate the predictive and prognostic ability of the lymph node ratios and natural logarithms of the lymph node odds staging systems and to compare them to the pN nodal classification of the TNM system in a population sample of patients with colon cancer.

11p viputrajaya2711 22-06-2020 12 1   Download

Although for ultrabasic and basic magmas a plethora of tectonomagmatic diagrams have been used, with the exception of one bivariate diagram for refined tectonic setting of orogenic andesites, none is available for highly abundant intermediate magma. We present 3 sets of discrimination diagrams obtained from the correct statistical methodology of loge -ratio transformation and linear discriminant analysis.

65p vidonut2711 09-11-2019 9 0   Download

(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 64 4   Download

(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 48 5   Download

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 44 2   Download

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 43 8   Download

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 36 6   Download

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 46 7   Download

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 48 5   Download

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 58 6   Download

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 60 9   Download

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 56 6   Download

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 64 7   Download

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 58 2   Download

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 43 4   Download

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 91 17   Download