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# Topic: Integer

###### In the News (Mon 18 Feb 19)

 Integer (Java 2 Platform SE v1.4.2) Parses the string argument as a signed integer in the radix specified by the second argument. the integer represented by the string argument in the specified radix. The resulting integer value is returned, exactly as if the argument and the radix 10 were given as arguments to the java.sun.com /j2se/1.4.2/docs/api/java/lang/Integer.html   (1678 words)

 Integer - Wikipedia, the free encyclopedia The term rational integer is used, in algebraic number theory, to distinguish these 'ordinary' integers, in the rational numbers, from other concepts such as the Gaussian integers. The lack of multiplicative inverses, which is equivalent to the fact that Z is not closed under division, means that Z is not a field. The integer q is called the quotient and r is called the remainder, resulting from division of a by b. en.wikipedia.org /wiki/Integer   (934 words)

 Integer   (Site not responding. Last check: 2007-10-26) The integers consist of the natural numbers (0 1 2...) and their negatives (−1 −2 −3...; −0 is to 0 and therefore not included as separate integer). Integer datatypes are implemented using a fixed number of bits and even variable-length representations eventually run of storage space when trying to represent large numbers. Integer programming is one of the most interesting subjects and this book captures the beauty of it through the use of nice explanations and a neat and organised notation. www.freeglossary.com /Integer   (823 words)

 Integer (computer science) - Wikipedia, the free encyclopedia In computer science, the term integer is used to refer to any data type which can represent some subset of the mathematical integers. The most common representation of a positive integer is a string of bits, using the binary numeral system. Another, rather different, representation for integers is binary-coded decimal, which is still commonly used in mainframe financial applications and in databases. en.wikipedia.org /wiki/Integer_(computer_science)   (952 words)

 PHP: Integers - Manual An integer is a number of the set Z = {..., -2, -1, 0, 1, 2,...}. Integers can be specified in decimal (10-based), hexadecimal (16-based) or octal (8-based) notation, optionally preceded by a sign (- or +). The size of an integer is platform-dependent, although a maximum value of about two billion is the usual value (that's 32 bits signed). www.php.net /manual/en/language.types.integer.php   (900 words)

 Integers Integers are useful in comparing a direction associated with certain events. To divide a pair of integers if both integers have different signs, divide the absolute value of the first integer by the absolute value of the second integer, and give this result a negative sign. Integer coordinates are pairs of integers that are used to determine points in a grid, relative to a special point called the origin. www.mathleague.com /help/integers/integers.htm   (1525 words)

 PlanetMath: integer Under this notation, we recover the familiar representation of the integers as The ring of integers is also a Euclidean domain, with valuation given by the absolute value function. This is version 7 of integer, born on 2001-10-19, modified 2003-06-30. planetmath.org /encyclopedia/Integer.html   (180 words)

 Combinatorial and Integer Optimization   (Site not responding. Last check: 2007-10-26) Since there are often different ways of mathematically representing the same problem, and since obtaining an optimal solution to a large integer programming problem in a reasonable amount of computer time may well depend on the way it is "formulated", much recent research has been directed toward the reformulation of integer programming problems. The major components of this algorithm consist of automatic reformulation procedures, heuristics which provide "good" feasible integer solutions, and cutting plane procedures which tighten the linear programming relaxation to the combinatorial problem under consideration -- all of which is embedded into a tree-search framework as in the branch-and-bound approach to integer programming. The cutting planes generated by the algorithm are facets of the convex hull of feasible integer solutions or good polyhedral approximations thereof and as such they are the "tightest cuts" possible. iris.gmu.edu /~khoffman/papers/newcomb1.html   (5076 words)

 Boost Integer Library Templates for integer type selection based on properties such as maximum value or number of bits. Use to select the type an integer when some property such as maximum value or number of bits is known. Templates for the selection of integer masks, single or lowest group, based on the number of bits. www.boost.org /libs/integer/index.html   (300 words)

 integer - definition by dict.die.net   (Site not responding. Last check: 2007-10-26) Complex integer (Theory of Numbers), an expression of the form a + b[root]-1, where a and b are real integers. integer (Or "whole number") One of the finite numbers in the infinite set..., -3, -2, -1, 0, 1, 2, 3,... An inductive definition of an integer is a number that is either zero or an integer plus or minus one. dict.die.net /integer   (129 words)

 2.4.4 Integer and long integer literals Plain integer literals that are above the largest representable plain integer (e.g., 2147483647 when using 32-bit arithmetic) are accepted as if they were long integers instead. There is no limit for long integer literals apart from what can be stored in available memory. In versions of Python prior to 2.4, octal and hexadecimal literals in the range just above the largest representable plain integer but below the largest unsigned 32-bit number (on a machine using 32-bit arithmetic), 4294967296, were taken as the negative plain integer obtained by subtracting 4294967296 from their unsigned value. www.python.org /doc/current/ref/integers.html   (162 words)

 Math Forum: Ask Dr. Math FAQ: Integers, Rational Numbers, Irrational Numbers Integers are the whole numbers, negative whole numbers, and zero. Every positive integer can be factored into the product of prime numbers, and there's only one way to do it for every number. The square root of 2 is an irrational number because it can't be written as a ratio of two integers. mathforum.org /dr.math/faq/faq.integers.html   (736 words)

 integer - perldoc.perl.org Note that this only affects how most of the arithmetic and relational operators handle their operands and results, and not how all numbers everywhere are treated. In addition, the range of operands and results is restricted to that of familiar two's complement integers, i.e., -(2**31).. Internally, native integer arithmetic (as provided by your C compiler) is used. perldoc.perl.org /integer.html   (402 words)

 Integer Class   (Site not responding. Last check: 2007-10-26) Test whether this integer is not equal to the supplied one. Test whether this integer is less than or equals the supplied one. Test whether this integer is greater than or equals the supplied one. www.carapace.co.uk /integer.htm   (340 words)

 The INTEGER signature Instances of the signature INTEGER provide a type of signed integers of either a fixed or arbitrary precision, and arithmetic and conversion operations. Raises Overflow when an integer can be parsed, but is too large to fit in type int. The type FixedInt.int is the largest fixed precision integer supported, while the type LargeInt.int is the largest integer supported. www.dina.kvl.dk /~sestoft/sml/integer.html   (672 words)

 About Integer Real-time Collaborative Spreadsheet Server Integer is a high performance, scalable, real time, collaborative spreadsheet server. Integer can be used with popular JavaBean tools including Visual Cafe and Inprise's JBuilder. Integer's GUI front end is connected to the spreadsheet server. www.athena.com /productinfo/aboutinteger.html   (266 words)

 PHP: Integers - Manual 0 hexadecimal : 0[xX][0-9a-fA-F]+ octal : 0[0-7]+ integer : [+-]?decimal The size of an integer is platform-dependent, although a maximum value of about two billion is the usual value (that's 32 bits signed). My example script converts a IPv4 address represented as a 32 bit unsigned integer to a dotted quad (similar to ip2long()), and adds a "fix" to the operation. us2.php.net /manual/en/language.types.integer.php   (575 words)

 Integer Learn integer properties and arithmetic at your own pace with this unit. To understand integer concepts including opposites, positive, negative, number line and sign. To understand the concept of absolute value and how it relates to integer concepts and the number line. www.mathgoodies.com /lessons/toc_vol5.html   (203 words)

 Computing Papers on Integer   (Site not responding. Last check: 2007-10-26) The simulation model is developed using a generic simulation modeling approach, which assumes that SC units have common functionality including handling of incoming and outgoing flows, flow transformation, and process control. (5) and therefore for any odd Integer and any Integer, (6) This lower bound on is analogous to a 2-dimensional bound in [3], but and are not eigenvalues associated with transfer matrices of 2-dimensional arrays here, and cannot easily be computed as in the 2-dimensional case. Integer FP Integer FP Integer FP integrated in the course project where the students are asked to provide a quantitative measure for these new topic computing.breinestorm.net /Integer   (2826 words)

 Integer * @param i an integer to be converted to a string. * @param i an integer to be converted. * @return the integer value represented by the argument in decimal. www.javaresearch.org /source/jdk142/java/lang/Integer.java.html   (2235 words)

 CLHS: System Class INTEGER There is no limit on the magnitude of an integer. The types fixnum and bignum form an exhaustive partition of type integer. This denotes the integers on the interval described by lower-limit and upper-limit. www.lispworks.com /documentation/HyperSpec/Body/t_intege.htm   (86 words)

 XML Schema Part 2: Datatypes Second Edition The ·value space· of decimal is the set of numbers that can be obtained by multiplying an integer by a non-positive power of ten, i.e., expressible as i × 10^-n where i and n are integers and n >= 0. The basic ·value space· of float consists of the values m × 2^e, where m is an integer whose absolute value is less than 2^24, and e is an integer between -149 and 104, inclusive. The basic ·value space· of double consists of the values m × 2^e, where m is an integer whose absolute value is less than 2^53, and e is an integer between -1075 and 970, inclusive. www.w3.org /TR/xmlschema-2   (9338 words)

 Amazon.com: Integer Programming: Books: Laurence A. Wolsey   (Site not responding. Last check: 2007-10-26) Integer Programming stands out from other textbooks by explaining in clear and simple terms how to construct custom-made algorithms or use existing commercial software to obtain optimal or near-optimal solutions for a variety of real-world problems, such as airline timetables, production line schedules, or electricity production on a regional or national scale. Integer Programming is an ideal text for courses in integer/mathematical programming-whether in operations research, mathematics, engineering, or computer science departments. It is also a valuable reference for industrial users of integer programming and researchers who would like to keep up with advances in the field. www.amazon.com /exec/obidos/tg/detail/-/0471283665?v=glance   (1156 words)

 The INTEGER signature signature provide a type of signed integers of either a fixed or arbitrary precision, and arithmetic and conversion operations. It is recommended that compilers recognize the idiom of converting between integers of differing precisions using an intermediate representation (e.g. This document may be distributed freely over the internet as long as the copyright notice and license terms below are prominently displayed within every machine-readable copy. www.standardml.org /Basis/integer.html   (627 words)

 Class: Integer In an integer, the value is the numerator of its rational equivalent. Iterates block, passing in integer values from int up to and including limit. To view or add comments on this documentation, please go to the API wiki. www.ruby-doc.org /core/classes/Integer.html   (225 words)

 XML Schema Part 2: Datatypes For example, in this specification, float is a well-defined mathematical concept that cannot be defined in terms of other datatypes, while a integer is a special case of the more general datatype decimal. It is felt that a judiciously chosen set of ·primitive· datatypes will serve the widest possible audience by providing a set of convenient datatypes that can be used as is, as well as providing a rich enough base from which the variety of datatypes needed by schema designers can be ·derived·. The representations for exponent and mantissa must follow the lexical rules for integer and decimal. www.w3.org /TR/2001/REC-xmlschema-2-20010502/datatypes.html   (8534 words)

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