ISBN: 9781782164920
Издательство: Packt Publishing

High Quality Content by WIKIPEDIA articles! An apeirohedron is a polyhedron having infinitely many faces. Like an ordinary polyhedron it forms a surface with no border. But where an ordinary polyhedral surface has no border because it folds round to close back on itself, an apeirohedron has no border because its surface is unbounded. In general, an n-apeirotope is an infinite n-polytope. Again there are two main classes studied: tessellations of (n-1)-space, or skew forms in n-space. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1312-9810-3
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 geometry, an apex is a descriptive label for a visual singular highest or most distant point or vertex in an isosceles triangle, pyramid or cone, usually contrasting with the opposite side called the base. For an isosceles triangle the apex is the vertex where the two sides of equal length meet. n geometry, a vertex (plural vertices) is a special kind of point which describes the corners or intersections of geometric shapes. Vertices are commonly used in computer graphics to define the corners of surfaces (typically triangles) in 3D models, where each such point is given as a vector. Данное...

ISBN: 978-6-1312-9812-7
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In geometry, Apollonius' theorem is a theorem relating the length of a median of a triangle to the lengths of its sides. Specifically, in any triangle ABC, if AD is a median, then AB^2 + AC^2 = 2(AD^2+BD^2)., It is a special case of Stewart's theorem. For an isosceles triangle the theorem reduces to the Pythagorean theorem. From the fact that diagonals of a parallelogram bisect each other, the theorem is equivalent to the parallelogram law. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1326-0480-4
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. The theorem can be proved as a special case of Stewart's theorem, or can be proved using vectors (see parallelogram law). The following is an independent proof using the law of cosines. Let the triangle have sides a, b, c with a median d drawn to side a. Let m be the length of the segments of a formed by the median, so m is half of a. Let the angles formed between a and d be and where includes b and includes c. Then is the supplement of and cos = –cos . Данное издание не является оригинальным. Книга печатается по технологии...

ISBN: 978-6-1312-9455-6
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Apophasis (Late Latin, from Greek from - apophanai, "to say no"[1]) refers, in general, to "mention by not mentioning". Apophasis covers a wide variety of figures of speech. Apophasis was originally and more broadly a method of logical reasoning or argument by denial - a way of describing what something is by explaining what it is not, or a process-of-elimination way of talking about something by talking about what it is not. A useful inductive technique when given a limited universe of possibilities, the exclusion of all but the one remaining is affirmation through negation. The familiar guessing-game of Twenty Questions is an example of apophatic inquiry. Данное издание не...

ISBN: 978-6-1311-7278-6
Издательство: Книга по требованию
Дата выхода: июль 2011

ISBN: 9781849695008
Издательство: Packt Publishing

ISBN: 9781849693486
Издательство: Packt Publishing

ISBN: 9781849693806
Издательство: Packt Publishing

ISBN: 9781849680547
Издательство: Packt Publishing

ISBN: 9781783281251
Издательство: Packt Publishing

ISBN: 0321268202
Дата выхода: июль 2006

High Quality Content by WIKIPEDIA articles! Determining the length of an irregular arc segment— also called rectification of a curve—was historically difficult. Although many methods were used for specific curves, the advent of calculus led to a general formula that provides closed-form solutions in some cases. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1317-8331-9
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 geometry, Archimedes' circles, first created by Archimedes, are two circles that can be created inside of an arbelos, both having the same area as each other. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1337-4739-5
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 geometry, Archimedes' quadruplets are four congruent circles associated with an arbelos. Introduced by Frank Power in the summer of 1998, each have the same area as Archimedes' twin circles, making them Archimedean circles. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1328-8079-6
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In geometry an Archimedean solid is a highly symmetric, semi-regular convex polyhedron composed of two or more types of regular polygons meeting in identical vertices. They are distinct from the Platonic solids, which are composed of only one type of polygon meeting in identical vertices, and from the Johnson solids, whose regular polygonal faces do not meet in identical vertices. The symmetry of the Archimedean solids excludes the members of the dihedral group, the prisms and antiprisms. The Archimedean solids can all be made via Wythoff constructions from the Platonic solids with tetrahedral, octahedral and icosahedral symmetry. Данное издание не является...

ISBN: 978-6-1312-8658-2
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. Area is a quantity expressing the two-dimensional size of a defined part of a surface, typically a region bounded by a closed curve. The surface area of a 3-dimensional solid is the total area of the exposed surface, such as the sum of the areas of the exposed sides of a polyhedron. Area is an important invariant in the differential geometry of surfaces. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1337-2311-5
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Areal velocity is the rate at which area is swept out by a particle as it moves along a curve. In many applications, the curve lies in a plane, but in others, it is a space curve. The adjoining figure shows a continuously differentiable curve in blue. At time t, a moving particle is located at point B, and at time t + ?t the particle has moved to point C. The area swept out during time period ?t by the particle is approximately equal to the area of triangle ABC. As ?t approaches zero this near equality becomes exact as a limit. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд...

ISBN: 978-6-1312-2238-2
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Ariadne's thread, named for the legend of Ariadne, is the term used to describe the solving of a problem with multiple apparent means of proceeding - such as a physical maze, a logic puzzle, or an ethical dilemma - through an exhaustive application of logic to all available routes. It is the particular method used that is able to follow completely through to trace steps or take point by point a series of found truths in a contingent, ordered search that reaches a desired end position. This process can take the form of a mental record, a physical marking, or even a philosophical debate; it is the process itself that assumes the name. Данное издание не является...

ISBN: 978-6-1311-7293-9
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, the Frobenius endomorphism is defined in any commutative ring R that has characteristic p, where p is a prime number. Namely, the mapping ? that takes r in R to rp is a ring endomorphism of R. The image of ? is then Rp, the subring of R consisting of p-th powers. In some important cases, for example finite fields, ? is surjective. Otherwise ? is an endomorphism but not a ring automorphism. The terminology of geometric Frobenius arises by applying the spectrum of a ring construction to ?. This gives a mapping ?*: Spec(Rp) ? Spec(R) of affine schemes. Even in cases where Rp = R this is not the...

ISBN: 978-6-1311-9130-5
Издательство: Книга по требованию
Дата выхода: июль 2011

ISBN: 978-6-1311-9124-4
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 geometry and combinatorics, an arrangement of hyperplanes is a finite set A of hyperplanes in a linear, affine, or projective space S. Questions about a hyperplane arrangement A generally concern geometrical, topological, or other properties of the complement, M(A), which is the set that remains when the hyperplanes are removed from the whole space. One may ask how these properties are related to the arrangement and its intersection semilattice. The intersection semilattice of A, written L(A), is the set of all subspaces that are obtained by intersecting some of the hyperplanes; among these subspaces are S...

ISBN: 978-6-1312-5473-4
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In geometry an arrangement of lines is the partition of the plane formed by a collection of lines. Bounds on the complexity of arrangements have been studied in discrete geometry, and computational geometers have found algorithms for the efficient construction of arrangements.For any set A of lines in the Euclidean plane, one can define an equivalence relation on the points of the plane according to which two points p and q are equivalent if, for every line l of A, either p and q are both on l or both belong to the same open half-plane bounded by l. Данное издание не является оригинальным. Книга печатается по технологии...

ISBN: 978-6-1312-5452-9
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. Arthur Besse is a pseudonym chosen by a group of French differential geometers, led by Marcel Berger, following the model of Nicolas Bourbaki. A number of monographs have appeared under the name. Differential geometry is a mathematical discipline that uses the methods of differential and integral calculus, as well as linear and multilinear algebra, to study problems in geometry. The theory of plane and space curves and of surfaces in the three-dimensional Euclidean space formed the basis for its initial development in the eighteenth and nineteenth century. Данное издание не является...

ISBN: 978-6-1312-3348-7
Издательство: Книга по требованию
Дата выхода: июль 2011

Научитесь c помощью книги "ASP.NET MVC 4 Framework с примерами на C# 5.0 для профессионалов" строить легко сопровождаемые, строго соответствующие стандартам, высокопроизводительные веб-приложения на платформе Microsoft!ASP.NET MVC 4 представляет собой последнюю версию веб-платформы ASP.NET от Microsoft. Эта веб-платформа &предлагает высокопроизводительную модель программирования, которая способствует построению более чистой...

ISBN: 978-5-8459-1867-3
Издательство: Вильямс/Диалектика
Дата выхода: август 2013