ISBN: 978-5-5128-3088-8

High Quality Content by WIKIPEDIA articles! In analytic geometry, a line and a sphere can intersect in three ways: no intersection at all, at exactly one point, or in two points. Methods for distinguishing these cases, and determining equations for the points in the latter cases, are useful in a number of circumstances. For example, this is a common calculation to perform during ray tracing (Eberly 2006:698). Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1312-1242-0
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In mathematics, the linking number is a numerical invariant that describes the linking of two closed curves in three-dimensional space. Intuitively, the linking number represents the number of times that each curve winds around the other. The linking number is always an integer, but may be positive or negative depending on the orientation of the two curves. The linking number was introduced by Gauss in the form of the linking integral. It is an important object of study in knot theory, algebraic topology, and differential geometry, and has numerous applications in mathematics and science, including quantum mechanics, electromagnetism, and the study of DNA supercoiling. Данное...

ISBN: 978-6-1312-3126-1
Издательство: Книга по требованию
Дата выхода: июль 2011

This book gets you started with LINQ and shows how it will make your programming life easier by making use of new features from the .NET Framework 3.0. This book is split into seven chapters, each of which is dedicated to presenting a feature of LINQ and its usage in real-life scenarios. Language Integrated Query (LINQ) is a new feature in Visual Studio 2008 that extends its query capabilities, using C# and Visual Basic. Visual Studio 2008 comes with LINQ provider assemblies that enable the use of LINQ with data sources such as in-memory collections, SQL relational databases, ADO.NET Datasets, XML documents, etc. In Visual Studio 2008, Visual C# and Visual Basic are the languages that implement the LINQ language extensions. LINQ language...

ISBN: 9781847192547
Издательство: Packt Publishing
Дата выхода: январь 2007

Книга одного из экспертов в области технологий .NET представляет собой учебное и справочное пособие для разработчиков .NET-приложений, использующих новую версию ASP.NET 3.5 и предложенную Microsoft технологию работы с данными под названием LINQ, которая является встроенной в язык C# 3.0. Предложенный автором практический подход к изложению материала позволяет оперативно изучить новейшие способы доступа к данным из...

ISBN: 978-5-8459-1427-9
Издательство: Вильямс/Диалектика
Дата выхода: июль 2008

Linux Programming Interface – исчерпывающее руководство по программированию приложений для Linux и UNIX. Описанный здесь интерфейс применяется практически с любыми приложениями, работающими в операционных системах Linux или UNIX. В этой авторитетной книге эксперт по Linux Майкл Керриск подробно описывает библиотечные вызовы и библиотечные функции, которые понадобятся вам при системном программировании. Вся теория...

ISBN: 978-5-496-02689-5
Издательство: Питер
Дата выхода: декабрь 2018

High Quality Content by WIKIPEDIA articles! In mathematics, Liouville's theorem, proved by Joseph Liouville in 1850, is a rigidity theorem about conformal mappings in Euclidean space. It states that any smooth conformal mapping on a domain of Rn, where n > 2, can be expressed as a composition of translations, similarities, orthogonal transformations and inversions: they are all Mobius transformations. This severely limits the variety of possible conformal mappings in R3 and higher-dimensional spaces. By contrast, conformal mappings in R2 can be much more complicated – for example, all simply connected planar domains are conformally equivalent, by the Riemann mapping theorem. Данное издание не является...

ISBN: 978-6-1312-1440-0
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Joseph Liouville (March 24, 1809 – September 8, 1882) was a French mathematician. Liouville graduated from the Ecole Polytechnique in 1827. After some years as an assistant at various institutions including the Ecole Centrale Paris, he was appointed as professor at the Ecole Polytechnique in 1838. He obtained a chair in mathematics at the College de France in 1850 and a chair in mechanics at the Faculte des Sciences in 1857. Besides his academic achievements, he was very talented in organisatorial matters. Liouville founded the Journal de Mathematiques Pures et Appliquees which retains its high reputation up to today, in order to promote other mathematicians' work. Данное...

ISBN: 978-6-1312-4058-4
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In mathematics, a Lipschitz domain (or domain with Lipschitz boundary) is a domain in Euclidean space whose boundary is "sufficiently regular" in the sense that it can be thought of as locally being the graph of a Lipschitz continuous function. The term is named after the German mathematician Rudolf Lipschitz.In mathematics, Euclidean space is the Euclidean plane and three-dimensional space of Euclidean geometry, as well as the generalizations of these notions to higher dimensions. The term “Euclidean” is used to distinguish these spaces from the curved spaces of non-Euclidean geometry and Einstein's general theory of relativity. Данное издание не является...

ISBN: 978-6-1311-6893-2
Издательство: Книга по требованию
Дата выхода: июль 2011

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, an operator or transform is a function from one space of functions to another. Operators occur commonly in engineering, physics and mathematics. Many are integral operators and differential operators. The mathematical concept of a function expresses the intuitive idea that one quantity (the argument of the function, also known as the input) completely determines another quantity (the value, or the output). A function assigns a unique value to each input of a specified type. Данное издание не является оригинальным. Книга печатается по...

ISBN: 978-6-1312-3134-6
Издательство: Книга по требованию
Дата выхода: июль 2011

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics and physics, nonlinear partial differential equations are (as their name suggests) partial differential equations with nonlinear terms. They describe many different physical systems, ranging from gravitation to fluid dynamics, and have been used in mathematics to solve problems such as the Poincare conjecture and the Calabi conjecture. They are difficult to study: there are almost no general techniques that work for all such equations, and usually each individual equation has to be studied as a separate problem. Данное издание не является оригинальным....

ISBN: 978-6-1312-4363-9
Издательство: Книга по требованию
Дата выхода: июль 2011

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a lituus is a spiral in which the angle is inversely proportional to the square of the radius (as expressed in polar coordinates). In mathematics, a spiral is a curve which emanates from a central point, getting progressively farther away as it revolves around the point.A "spiral" and a "helix" are both technically spirals even though they each represent a different object. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1312-3158-2
Издательство: Книга по требованию
Дата выхода: июль 2011

ISBN: 9781849697484
Издательство: Packt Publishing

High Quality Content by WIKIPEDIA articles! In mathematics, an LLT polynomial is one of a family of symmetric functions introduced by Alain Lascoux, Bernard Leclerc, and Jean-Yves Thibon (1997) as q-analogues of products of Schur functions. J. Haglund, M. Haiman, N. Loehr (2005) showed how to expand Macdonald polynomials in therms of LLT polynomials. Ian Grojnowski and Mark Haiman (preprint) proved a positivity conjecture for LLT polynomials that combined with the previous result implies the Macdonald positivity conjecture for Macdonald polynomials, and extended the definition of LLT polynomials to arbitrary finite root systems. Данное издание не является оригинальным. Книга печатается...

ISBN: 978-6-1312-0157-8
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In the geometry of complex algebraic curves, a local parameter for a curve C at a smooth point P is just a meromorphic function on C that has a simple zero at P. This concept can be generalized to curves defined over fields other than mathbb{C} (or even schemes), due to the fact that the local ring at a smooth point P of an algebraic curve C (defined over an algebraically closed field) is always a discrete valuation ring. This valuation will endow us with a way to count the order (at the point P) of rational functions (which are natural generalizations for meromorphic functions in the non-complex realm) having a zero or a pole at P. Данное издание не является...

ISBN: 978-6-1312-0201-8
Издательство: Книга по требованию
Дата выхода: июль 2011

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, local cohomology is a chapter of homological algebra and sheaf theory introduced into algebraic geometry by Alexander Grothendieck. He developed it in seminars in 1961 at Harvard University, and 1961-2 at IHES. It was later written up as SGA2. Applications to commutative algebra and hyperfunction theory followed. There is a long exact sequence of sheaf cohomology linking the ordinary sheaf cohomology of X and of the open set U = X Y, with the local cohomology groups. The initial applications were to analogues of the Lefschetz hyperplane theorems. In general such theorems state that homology or...

ISBN: 978-6-1312-5988-3
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space. The data can be restricted to smaller open sets, and the data assigned to an open set is equivalent to all collections of compatible data assigned to collections of smaller open sets covering the original one. For example, such data can consist of the rings of continuous or smooth real-valued functions defined on each open set. Sheaves are by design quite general and abstract objects, and their correct definition is rather technical. They exist in several varieties such as sheaves of sets or sheaves of rings, depending on the type of data assigned to open sets....

ISBN: 978-6-1312-0187-5
Издательство: Книга по требованию
Дата выхода: июль 2011

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In differential geometry, Loewner's torus inequality is an inequality due to Charles Loewner. It relates the systole and the area of an arbitrary Riemannian metric on the 2-torus. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1337-5066-1
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk in Cn, such that the transition maps are holomorphic. The term complex manifold is variously used to mean a complex manifold in the sense above (which can be specified as an integrable complex manifold), and an almost-complex manifold, as discussed below. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1312-0209-4
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In algebraic geometry, a logarithmic pair consists of a variety, together with a divisor along which one allows mild logarithmic singularities. They were studied by Iitaka (1976). Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex analysis, topology and number theory. Initially a study of polynomial equations in many variables, the subject of algebraic geometry starts where equation solving leaves off, and it becomes at least as important to...

ISBN: 978-6-1312-0213-1
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! A logical abacus is a mechanical digital computer.Also referred to as a "logical machine", the logical abacus is analogous to the ordinary (mathematical) abacus. It is based on the principle of truth tables.It is constructed to show all the possible combinations of a set of logical terms with their negatives, and, further, the way in which these combinations are affected by the addition of attributes or other limiting words, i.e., to simplify mechanically the solution of logical problems. These instruments are all more or less elaborate developments of the "logical slate", on which were written in vertical columns all the combinations of symbols or letters which could be made logically out of a...

ISBN: 978-6-1311-7249-6
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! La loi de Hooke est une loi de comportement elastique lineaire des solides soumis a une deformation de faible amplitude. Cette loi de comportement a ete enoncee par Robert Hooke, par la phrase en latin : ut tensio sic vis (ou son anagramme ceiiinosssttuv) (en 1678 ; experiences datant de 1675). Ce qui signifie « telle extension, telle force », ou bien en termes modernes « l'allongement est proportionnel a la force ». Hooke desirait obtenir une theorie des ressorts, en soumettant ces derniers a des forces croissantes successives. De sa loi deux aspects sont importants : La linearite, L'elasticite. Данное издание не является оригинальным. Книга...

ISBN: 978-6-1336-1202-0
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! En geometrie, la question de la longueur d'un arc est intuitivement simple a concevoir. L'idee d'arc correspond a celle d'une ligne, ou d'une trajectoire d'un point dans un plan ou l'espace par exemple. Sa longueur peut etre vue comme la distance parcourue par un point materiel suivant cette trajectoire ou encore comme la longueur d'un fil prenant exactement la place de cette ligne. La longueur d'un arc est, soit un nombre positif, soit l'infini. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1318-3754-8
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In mathematics, the Loomis–Whitney inequality is a result in geometry, which in its simplest form, allows one to estimate the "size" of a d-dimensional set by the sizes of its (d – 1)-dimensional projections. The inequality has applications in incidence geometry, the study of so-called "lattice animals", and other areas. The result is named after the American mathematicians L. H. Loomis and Hassler Whitney, and was published in 1949. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1311-6898-7
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In geometry, the pentagonal bipyramid (or dipyramid) is third of the infinite set of face-transitive bipyramids. The set of bipyramids is the dual of the uniform prisms. It is also a Johnson solid (J13), constructed of regular polygons. It can be seen as two pentagonal pyramids (J2) connected along their bases. As a Johnson solid, it is a convex deltahedron. Although it is face-transitive, it is not a Platonic solid because some vertices have four faces meeting and others have five faces. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1312-8940-8
Издательство: Книга по требованию
Дата выхода: июль 2011