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... Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying \"smoothly\", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic[1] – do not vary smoothly in this way, but have distinct, separated values.[2] Discrete mathematics therefore excludes topics in \"continuous mathematics\" such as calculus and analysis. Discrete objects can often be enumerated by integers. More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets[3] (sets that have the ... [full article] (**80** views)

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... Concrete Mathematics: A Foundation for Computer Science, by Ronald Graham, Donald Knuth, and Oren Patashnik, is a mathematical textbook that is widely used in computer-science departments. It provides mathematical knowledge and skills for computer science, especially for the analysis of algorithms. According to the preface, the topics of Concrete Mathematics form \"a blend of CONtinuous and disCRETE mathematics.\" In particular, calculus is frequently used in the explanations and exercises. The term \"concrete mathematics\" also denotes a complement to \"abstract mathematics\". ... [full article] (**64** views)

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... In mathematics and computer science, dynamic programming is a method of solving complex problems by breaking them down into simpler steps. It is applicable to problems that exhibit the properties of overlapping subproblems which are only slightly smaller[1] and optimal substructure (described below). When applicable, the method takes much less time than naive methods. ... [full article] (**104** views)

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... In the mathematical subject known as group theory, given a group G under a binary operation *, we say that some subset H of G is a subgroup of G if H also forms a group under the operation *. More precisely, H is a subgroup of G if the restriction of * to H x H is a group operation on H. This is usually represented notationally by H ≤ G, read as \"H is a subgroup of G\". ... [full article] (**70** views)

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... In mathematics, a matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers, such as ... [full article] (**63** views)

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... This is a listing of common symbols found within all branches of mathematics. Each symbol is listed in both HTML, which depends on appropriate fonts to be installed, and in TeX, as an image. ... [full article] (**62** views)

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... In mathematics, a power of two is any of the integer powers of the number two;[1] in other words, two multiplied by itself a certain number of times.[2] By definition, the number one is a power (the zeroth power) of two. ... [full article] (**91** views)

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... In mathematics, computer science, and related fields, big O notation (also known as Big Oh notation, Landau notation, Bachmann–Landau notation, and asymptotic notation) describes the limiting behavior of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions. Big O notation characterizes functions according to their growth rates: different functions with the same growth rate may be represented using the same O notation. ... [full article] (**51** views)

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... In mathematics, the logarithm of a number to a given base is the power or exponent to which the base must be raised in order to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 3 is the power to which ten must be raised to produce 1000: 103 = 1000, so log101000 = 3. Only positive real numbers have real number logarithms; negative and complex numbers have complex logarithms. ... [full article] (**58** views)

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... In traditional logic, an axiom or postulate is a proposition that is not proved or demonstrated but considered to be either self-evident, or subject to necessary decision. Therefore, its truth is taken for granted, and serves as a starting point for deducing and inferring other (theory dependent) truths. ... [full article] (**108** views)

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