Mathematical precision

Stewart's CALCULUS, Fifth Edition has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that have characterized the first four editions. Stewart retains the focus on problem solving and the pedagogical system that has made the book a favorite of students and instructors in a wide variety of colleges and universities throughout the world.
1300p greengrass304 14092012 70 31 Download

The pronunciations of the most common mathematical expressions are given in the list below. In general, the shortest versions are preferred (unless greater precision is necessary).
3p h2codon 10052013 36 6 Download

This is an advanced course on modeling, design, integration and best practices for use of machine elements such as bearings, springs, gears, cams and mechanisms. Modeling and analysis of these elements is based upon extensive application of physics, mathematics and core mechanical engineering principles (solid mechanics, fluid mechanics, manufacturing, estimation, computer simulation, etc.).
44p phungvanhau 04042011 149 46 Download

This fourth edition of the bestselling Illustrated Maths Dictionary is a comprehensive update of the most thorough mathematics dictionary for primary school students, student teachers and teachers in Australia. It features a new design, new illustrations and the addition of computer terminology in the useful information section. The new edition comes with an electronic version of the dictionary for use on your computer.
167p huetay_1 27022013 68 32 Download

Game theory is a mathematical system for analyzing and predicting how humans behave in strategic situations. Standard equilibrium analyses assume all players: 1) form beliefs based on analysis of what others might do (strategic thinking); 2) choose a best response given those beliefs (optimization); 3) adjust best responses and beliefs until they are mutually consistent (equilibrium).
70p tiramisu0908 30102012 56 22 Download

In a Global scenario, economically progressive nations have developed medical sciences. But still it lacks precise information during the enhancement of potent drugs to combat ailment, which is the legacy of the organisms that generate diseases. Rising countries had long been perceived the threat, which at times, down the lane has been the major factor for magnanimous economic disaster and human poverty. Lot of resources was put into force by the world community to abscond the microbial fauna and genetically inherited diseases to contain them within the safe limits.
454p wqwqwqwqwq 20072012 34 8 Download

It is well known that not every orientationpreserving homeomorphism of the circle to itself is a conformal welding, but in this paper we prove several results which state that every homeomorphism is “almost” a welding in a precise way. The proofs are based on Koebe’s circle domain theorem. We also give a new proof of the well known fact that quasisymmetric maps are conformal weldings. 1. Introduction Let D ⊂ R2 be the open unit disk, let D∗ = S 2 \D and let T = ∂D = ∂D∗ be the unit circle. ...
45p dontetvui 17012013 24 6 Download

We ﬁnd the exact value of the best possible constant C for the weaktype (1, 1) inequality for the onedimensional centered HardyLittlewood maximal operator. We prove that C is the largest root of the quadratic equation 12C 2 − 22C + 5 = 0 thus obtaining C = 1.5675208 . . . . This is the ﬁrst time the best constant for one of the fundamental inequalities satisﬁed by a centered maximal operator is precisely evaluated.
43p tuanloccuoi 04012013 29 5 Download

The basic theme of this paper is the fact that if A is a ﬁnite set of integers, then the sum and product sets cannot both be small. A precise formulation of this fact is Conjecture 1 below due to Erd˝sSzemer´di [ES]. (see also [El], [T], o e and [KT] for related aspects.) Only much weaker results or very special cases of this conjecture are presently known. One approach consists of assuming the sum set A + A small and then deriving that the product set AA is large (using Freiman’s structure theorem) (cf. [NT], [Na3]). We follow the...
20p tuanloccuoi 04012013 31 5 Download

We prove the ionization conjecture within the HartreeFock theory of atoms. More precisely, we prove that, if the nuclear charge is allowed to tend to inﬁnity, the maximal negative ionization charge and the ionization energy of atoms nevertheless remain bounded. Moreover, we show that in HartreeFock theory the radius of an atom (properly deﬁned) is bounded independently of its nuclear charge. Contents 1. Introduction and main results 2. Notational conventions and basic prerequisites 3. HartreeFock theory 4. ThomasFermi theory ...
69p tuanloccuoi 04012013 25 5 Download

The goal of this work is to give a precise numerical description of the K¨hler cone of a compact K¨hler manifold. Our main result states that the a a K¨hler cone depends only on the intersection form of the cohomology ring, the a Hodge structure and the homology classes of analytic cycles: if X is a compact K¨hler manifold, the K¨hler cone K of X is one of the connected components of a a the set P of real (1, 1)cohomology classes {α} which are numerically positive on analytic cycles, i.e. Y αp 0 for every irreducible analytic...
29p tuanloccuoi 04012013 25 5 Download

There are very few examples of Riemannian manifolds with positive sectional curvature known. In fact in dimensions above 24 all known examples are diﬀeomorphic to locally rank one symmetric spaces. We give a partial explanation of this phenomenon by showing that a positively curved, simply connected, compact manifold (M, g) is up to homotopy given by a rank one symmetric space, provided that its isometry group Iso(M, g) is large. More precisely we prove ﬁrst that if dim(Iso(M, g)) ≥ 2 dim(M ) − 6, then M is tangentially homotopically equivalent to a rank one symmetric space or M...
63p noel_noel 17012013 31 4 Download

We characterize precisely the possible rate of decay of the antianalytic half of a trigonometric series converging to zero almost everywhere. 1. Introduction 1.1. In 1916, D. E. Menshov constructed an example of a nontrivial trigonometric series on the circle T ∞ (1) n=−∞ c(n)eint which converges to zero almost everywhere (a.e.). Such series are called nullseries. This result was the origin of the modern theory of uniqueness in Fourier analysis, see [Z59], [B64], [KL87], [KS94]. Clearly for such a series c(n)2 = ∞.
33p noel_noel 17012013 17 4 Download

The purpose of this paper is to introduce the principles of GPS theory, and to provide a background for more advanced material. With that in mind, some of the theoretical treatment has been simplified to provide a starting point for a mathematically literate user of GPS who wishes to understand how GPS works, and to get a basic grasp of GPS theory and terminology.
46p dkle91 01052014 21 4 Download

Humidity promotes the growth of moulds Credit: Infrogmation The majority of the health effects linked to dampness and moisture of buildings are those of the respiratory system. They range from irritation of mucous membranes, respiratory symptoms, and infections to diseases such as asthma and allergy. However , it is still not known precisely how dampness leads to these symptoms and which are the main substances responsible. Humidity problems in buildings may originate from leaks, condensation, or the ground.
19p doipassword 01022013 23 3 Download

Note that the computation of the equivalent units of production involves adding the num ber of units transferred out of the department to the equivalent units in the department’s ending inventory. There is no need to compute the equivalent units for the units trans ferred out of the department—they are 100% complete with respect to the work done in that department or they would not be transferred out. In other words, each unit transferred out of the department is counted as one equivalent unit. Consider the Shaping and Milling Department at Double Diamond.
182p conduongdinhmenh 07052013 20 3 Download

VNU. JOURNAL OF SCIENCE, Mathematics  Physics, T.xXI, n02, 2005 Nguyen Thi Minh Hanga,b, ChienHung Hoc, Vu Ngoc Hungb, Nguyen Phu Thuyb,d a d Center for Micro Electronic and Information Technology (IMET) International Training Institute for Materials Science (ITIMS) c Precision Instrument Development Center (PIDC) College of Technology, Vietnam National University, Hanoi (VNU) b Abstract. Thanks to almost transparent property of SU8 for wavelength of 365400nm, UVLIGA technology using this photoresist has been applied to fabricate highaspectratio (HAR) microstructures.
7p tuanlocmuido 19122012 25 2 Download

Another limitation of the literature is that minorities have been dramatically under represented in psychooncology research (Anderson, 1992). Further, although the research demonstrates the importance of the spousal relationship during the cancer experience, there is a lack of controlled research concerning couples or family interventions. Finally, a crucial question that remains unanswered is determining what these findings mean in terms of clinical intervention and care.
4p taisaokhongthedung 09012013 27 1 Download

On completion of this chapter students will know how to: Declare variables and constants, format output, work with character data, create mathematical expressions, work with mixed data types and casting, use different data types for precision, utilize available math functions.
25p nhanmotchut_3 19102016 12 1 Download

Microsoft@ Excel is a ‘number crunching’ application with the accountant as its primary target. However, it also provides the scientist or engineer with a very powerful computational tool. True, there are more sophisticated mathematical applications, such as Mathematica, MathCAD, Maple, etc., but none are as widely available as Microsoft Excel.
338p ptng13 17052012 66 17 Download