High Quality Content by WIKIPEDIA articles! Radical 5 meaning "second" is one of six of the 214 Kangxi radicals that are composed of only one stroke. In the Kangxi Dictionary there are 42 characters (out of 40,000) to be found under this radical.The following is a list of all 214 Kangxi radicals, used originally in the 1615 Zihui and adopted by the 1716 Kangxi dictionary, in order of the number of strokes along with some examples of characters containing them. This list has become such a common standard that sometimes radicals are referred to by number alone. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после...

ISBN: 978-6-1312-2273-3
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Radical 140 meaning grass is one of 29 of the 214 Kangxi radicals that are composed of 6 strokes. In the Kangxi Dictionary there are 1,902 characters (out of 40,000) to be found under this radical, making it the most commonly used radical.The following is a list of all 214 Kangxi radicals, used originally in the 1615 Zihui and adopted by the 1716 Kangxi dictionary, in order of the number of strokes along with some examples of characters containing them. This list has become such a common standard that sometimes radicals are referred to by number alone. Данное издание не является оригинальным. Книга печатается по технологии...

ISBN: 978-6-1312-2354-9
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In ring theory, a branch of mathematics, a radical of a ring is an ideal of "bad" elements of the ring. The first example of a radical was the nilradical introduced in (Kothe 1930), based on a suggestion in (Wedderburn 1908). In the next few years several other radicals were discovered, of which the most important example is the Jacobson radical. The general theory of radicals was defined independently by (Amitsur 1952, 1954, 1954b) and Kurosh (1953). In the theory of radicals, rings are usually assumed to be associative, but need not be commutative and need not have an identity element. In particular, every ideal in a ring is also a ring. Данное издание не является...

ISBN: 978-6-1312-4481-0
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Radical 51 is one of 31 out of the total 214 Kangxi radicals written with three strokes. There are only a few characters derived from this radical, and some modern dictionaries have discontinued its use as a section header. In such characters that are derived from it, it mostly takes a purely phonetic role, as in ? "liver". In origin, the character depicts a kind of fork used as weapon used in hunting or in warfare, or alternatively either a pestle or a shield. It can be traced to the seal script.The following is a list of all 214 Kangxi radicals, used originally in the 1615 Zihui and adopted by the 1716 Kangxi dictionary, in order of the number of strokes along with some examples of characters...

ISBN: 978-6-1312-2269-6
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Radical 8 meaning "lid" is one of 23 of the 214 Kangxi radicals that are composed of 2 strokes. In the Kangxi Dictionary there are 38 characters (out of 40,000) to be found under this radical.The following is a list of all 214 Kangxi radicals, used originally in the 1615 Zihui and adopted by the 1716 Kangxi dictionary, in order of the number of strokes along with some examples of characters containing them. This list has become such a common standard that sometimes radicals are referred to by number alone. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после...

ISBN: 978-6-1312-2244-3
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! In mathematics, in the theory of modules, the radical of a module is a component in the theory of structure and classification. Let R be a ring and M a left R-module. A submodule N of M is called cosimple or maximal if the quotient M/N is a simple module. In abstract algebra, the concept of a module over a ring is a generalization of the notion of vector space, where instead of requiring the scalars to lie in a field, the "scalars" may lie in an arbitrary ring. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения...

ISBN: 978-6-1311-4969-6
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. Radical 214 meaning "flute" is the only one of the 214 Kangxi radicals that is composed of 17 strokes. In the Kangxi Dictionary there are only 21 characters (out of 40,000) to be found under this radical.The following is a list of all 214 Kangxi radicals, used originally in the 1615 Zihui and adopted by the 1716 Kangxi dictionary, in order of the number of strokes along with some examples of characters containing them. This list has become such a common standard that sometimes radicals are referred to by number alone. Данное издание не является оригинальным. Книга...

ISBN: 978-6-1312-2295-5
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In algebraic geometry, a domain in mathematics, a morphism of schemes f:X ? Y is called radicial or universally injective, if, for every field K the induced map X(K) ? Y(K) is injective. (EGA I, (3.5.4)) It suffices to check this for K algebraically closed. This is equivalent to the following condition: f is injective on the topological spaces and for every point x in X, the extension of the residue fields k(f(x)) ? k(x) is radicial, i.e. purely inseparable. It is also equivalent to every base change of f being injective on the underlying topological spaces. (Thus the term universally injective.) Radicial morphisms are stable under composition, products and base change. If gf is radicial, so is...

ISBN: 978-6-1312-5499-4
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Radical 15, meaning ice, is one of 23 of the 214 Kangxi radicals that are composed of 2 strokes. In the Kangxi Dictionary there are 115 characters (out of 40,000) to be found under this radical.The following is a list of all 214 Kangxi radicals, used originally in the 1615 Zihui and adopted by the 1716 Kangxi dictionary, in order of the number of strokes along with some examples of characters containing them. This list has become such a common standard that sometimes radicals are referred to by number alone. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после...

ISBN: 978-6-1312-2346-4
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Radical 213 meaning "turtle" is one of only two of the 214 Kangxi radicals that are composed of 16 strokes. In the Kangxi Dictionary there are only 24 characters (out of 40,000) to be found under this radical.The following is a list of all 214 Kangxi radicals, used originally in the 1615 Zihui and adopted by the 1716 Kangxi dictionary, in order of the number of strokes along with some examples of characters containing them. This list has become such a common standard that sometimes radicals are referred to by number alone. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после...

ISBN: 978-6-1312-2303-7
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Radical 17 is one of 23 of the 214 Kangxi radicals that are composed of 2 strokes. It does not occur as a character on its own. In combination, it historically takes meanings such as "open mouth", "box", "frame", "hole". In contemporary use, it is the base radical of the following characters: * "bad, inauspicious" * "go out, send out" * "box" The following is a list of all 214 Kangxi radicals, used originally in the 1615 Zihui and adopted by the 1716 Kangxi dictionary, in order of the number of strokes along with some examples of characters containing them. This list has become such a common standard that sometimes radicals are referred to by number alone. Данное издание не...

ISBN: 978-6-1312-2337-2
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! ShorttitleRadical 11 meaning enter, come in (to), join is one of 23 of the 214 Kangxi radicals that are composed of 2 strokes. In the Kangxi Dictionary there are 28 characters (out of 40,000) to be found under this radical.The following is a list of all 214 Kangxi radicals, used originally in the 1615 Zihui and adopted by the 1716 Kangxi dictionary, in order of the number of strokes along with some examples of characters containing them. This list has become such a common standard that sometimes radicals are referred to by number alone. Данное издание не является оригинальным. Книга печатается по...

ISBN: 978-6-1312-2388-4
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! The distance from the center of a sphere or ellipsoid to its surface is its radius. The equivalent "surface radius" that is described by radial distances at points along the body's surface is its radius of curvature (more formally, the radius of curvature of a curve at a point is the radius of the osculating circle at that point). With a sphere, the radius of curvature equals the radius. With an oblate ellipsoid (or, more properly, an oblate spheroid), however, not only does it differ from the radius, but it varies, depending on the direction being faced. The extremes are known as the principal radii of curvature. Данное издание не является оригинальным....

ISBN: 978-6-1303-4327-9
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In mathematics, the radius of convergence of a power series is a quantity, either a non-negative real number or ?, that represents a domain (within the radius) in which the series will converge. Within the radius of convergence, a power series converges absolutely and uniformly on compacta as well. If the series converges, it is the Taylor series of the analytic function to which it converges inside its radius of convergence. Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

ISBN: 978-6-1303-4315-6
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! The Radon–Riesz property is a mathematical property for normed spaces that helps ensure convergence in norm. Essentially, given two assumptions (essentially weak convergence and continuity of norm), we would like to ensure convergence in the norm topology.Suppose that (X, ||·||) is a normed space. We say that X has the Radon–Riesz property (or that X is a Radon–Riesz space) if whenever (xn) is a sequence in the space and x is a member of X such that (xn) converges converges weakly to x and lim_{ntoinfty} Vert x_n Vert = Vert xVert , then (xn) converges to x in norm; that is, lim_{ntoinfty} Vert x_n - xVert = 0 . Although it would appear that Johann Radon was one of the first to make...

ISBN: 978-6-1303-4372-9
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In mathematics (specifically, measure theory), a Radon measure, named after Johann Radon, is a measure on the ?-algebra of Borel sets of a Hausdorff topological space X that is locally finite and inner regular.A common problem is to find a good notion of a measure on a topological space that is compatible with the topology in some sense. One way to do this is to define a measure on the Borel sets of the topological space. In general there are several problems with this: for example, such a measure may not have a well defined support. Another approach to measure theory is to restrict to locally compact Hausdorff spaces, and only consider the measures that correspond to positive linear...

ISBN: 978-6-1303-4334-7
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In mathematics, the Radon–Nikodym theorem is a result in functional analysis that states that, given a measurable space (X,?), if a ?-finite measure ? on (X,?) is absolutely continuous with respect to a ?-finite measure ? on (X,?), then there is a measurable function f on X and taking values in [0,?),The function f satisfying the above equality is uniquely defined up to a ?-null set, that is, if g is another function which satisfies the same property, then f = g ?-almost everywhere. f is commonly written d?/d? and is called the Radon–Nikodym derivative. The choice of notation and the name of the function reflects the fact that the function is analogous to a derivative in calculus in the...

ISBN: 978-6-1303-4346-0
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! In geometry, Radon's theorem on convex sets, named after Johann Radon, states that any set of d + 2 points in Rd can be partitioned into two (disjoint) sets whose convex hulls intersect. A point in the intersection of these hulls is called a Radon point of the set. For example, in the case d = 2, any set of four points in the Euclidean plane can be partitioned in one of two ways. It may form a triple and a singleton, where the convex hull of the triple (a triangle) contains the singleton; alternatively, it may form two pairs of points that form the endpoints of two intersecting line segments. Данное издание не является оригинальным. Книга...

ISBN: 978-6-1313-5391-8
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! The Radon–Riesz property is a mathematical property for normed spaces that helps ensure convergence in norm. Essentially, given two assumptions (essentially weak convergence and continuity of norm), we would like to ensure convergence in the norm topology. Although it would appear that Johann Radon was one of the first to make significant use of the this property in 1913, M. I. Kadets and V. L. Klee also used versions of the Radon–Riesz property to make advancements in Banach space theory in the late 1920s. It is common for the Radon–Riesz property to also be referred to as the Kadets–Klee property or property (H). According to Robert Megginson, the letter H does not stand for anything....

ISBN: 978-6-1303-4333-0
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Raghunath Dhondo Karve was a professor of mathematics and a visionary social reformer from Maharashtra, India. He was a pioneer in initiating family planning and birth control for masses in Mumbai in 1921. Raghunath was the eldest son of Bharat Ratna Maharshi Dhondo Keshav Karve. His mother Radhabai died during childbirth in 1891 when he was nine. That event influenced his outlook on the issue of pregnancy. He was borne in Murud. He studied at New English School, Pune. He stood first in matriculation examination conducted in 1899. He went to Fergusson College, Pune and obtained Bachelor of Arts degree in 1904. Данное издание не является оригинальным....

ISBN: 978-3-6399-1578-5
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Raghu Raj Bahadur (30 April 1924 – 7 July 1997) was an India born mathematical statistician considered by peers to be "one of the architects of the modern theory of mathematical statistics". He published numerous papers and is best known for the concept of "Bahadur Efficiency". The Anderson-Bahadur algorithm is used in statistics and engineering for solving binary classification problems when the underlying data have multivariate normal distributions with different covariance matrices. The Mathematics Genealogy Project is a web-based database for the academic genealogy of mathematicians.As of 2007, it contained information on the graduation date, alma mater, doctoral advisor, and doctoral...

ISBN: 978-3-6399-1869-4
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Ragnar Winther (born 1949) is a Norwegian mathematician. He took his PhD in 1977, and was appointed professor at the University of Oslo in 1991. In 2002 he became the leader of the Centre of Mathematics for Applications there. He is a member of the Norwegian Academy of Science and Letters.The Norwegian Academy of Science and Letters (Norwegian: Det Norske Videnskaps-Akademi, DNVA) is a learned society based in Oslo, Norway.The city got its university in 1811. The idea of a learned society in Christiania surfaced for the first time in 1841. The city of Throndhjem had no university, but had a learned society—Royal Norwegian Society of Sciences and Letters established as far back as 1760. The...

ISBN: 978-3-6399-8523-8
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Ragni Piene (born 1947) is a Norwegian mathematician. Her field is algebraic geometry. She took her doctorate at the Massachusetts Institute of Technology in 1976, and was appointed professor at the University of Oslo in 1987. She is a member of the Norwegian Academy of Science and Letters.The Massachusetts Institute of Technology (MIT) is a private research university located in Cambridge, Massachusetts. MIT has five schools and one college, containing a total of 32 academic departments, with a strong emphasis on scientific and technological research. MIT is one of two private land-grant universities and is also a sea-grant and space-grant university. Данное издание не...

ISBN: 978-3-6399-7165-1
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! The Ragsdale conjecture is a mathematical conjecture that concerns the possible arrangements of real algebraic curves embedded in the projective plane. It was proposed by Virginia Ragsdale several years after 1900 and was disproved in 1979. Her dissertation dealt with Hilbert's sixteenth problem, which was proposed in the year 1900, along with 22 other unsolved problems of the 19th century. Ragsdale conjectured a particular upper bound on the number of topological circles of a certain type, along with the basis of evidence. The conjecture was held of high importance in the field of real algebraic geometry for nearly a century. Later Oleg Viro and Ilya Itenberg produced counterexamples to the...

ISBN: 978-3-6399-6355-7
Издательство: Книга по требованию
Дата выхода: июль 2011

High Quality Content by WIKIPEDIA articles! Rahul Pandharipande (born 1969 in Amravati, India) is a mathematician at Princeton University, working in algebraic geometry, especially Gromov-Witten theory. His father Vijay Raghunath Pandharipande was a renowned theoretical physicist worked in the area of nuclear physics. He received his B.A. from Princeton University in 1990, and his Ph.D. from Harvard University in 1994. His advisor at Harvard was Joe Harris. After teaching at the University of Chicago and the California Institute of Technology, he joined the faculty at Princeton in 2001. He frequently collaborates with Fields medalist Andrei Okounkov. Данное издание не является оригинальным. Книга...

ISBN: 978-6-1320-0123-8
Издательство: Книга по требованию
Дата выхода: июль 2011