Rational Number Wikipedia

Rational number - Wikipedia.

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p / q of two integers, a numerator p and a non-zero denominator q. For example, -3 / 7 is a rational number, as is every integer (e.g. 5 = 5 / 1).The set of all rational numbers, also referred to as "the rationals", the field of rationals or the field of rational numbers is usually denoted by ....


Rational choice theory - Wikipedia.

Rational choice theory has proposed that there are two outcomes of two choices regarding human action. Firstly, the feasible region will be chosen within all the possible and related action. Second, after the preferred option has been chosen, the feasible region that has been selected was picked based on restriction of financial, legal, social, physical or emotional restrictions that ....


Rationality - Wikipedia.

Rationality is the quality or state of being rational - that is, being based on or agreeable to reason. Rationality implies the conformity of one's beliefs with one's reasons to believe, and of one's actions with one's reasons for action. "Rationality" has different specialized meanings in philosophy, economics, sociology, psychology, evolutionary biology, game theory and political ....


Unified Modeling Language - Wikipedia.

The Unified Modeling Language (UML) is a general-purpose, developmental, modeling language in the field of software engineering that is intended to provide a standard way to visualize the design of a system.. The creation of UML was originally motivated by the desire to standardize the disparate notational systems and approaches to software design..


Rational function - Wikipedia.

The rational function = ()is not defined at = =. It is asymptotic to as .. The rational function = + +is defined for all real numbers, but not for all complex numbers, since if x were a square root of (i.e. the imaginary unit or its negative), then formal evaluation would lead to division by zero: = + + = + + =,which is undefined. A constant function such as f(x) = ? is a rational function ....


B├ęzier curve - Wikipedia.

A quadratic Bezier curve is the path traced by the function B(t), given points P 0, P 1, and P 2, = [() +] + [() +], ,which can be interpreted as the linear interpolant of corresponding points on the linear Bezier curves from P 0 to P 1 and from P 1 to P 2 respectively. Rearranging the preceding equation yields: = + +, This can be written in a way that highlights the symmetry with respect to ....


Negative number - Wikipedia.

In mathematics, a negative number represents an opposite. In the real number system, a negative number is a number that is less than zero.Negative numbers are often used to represent the magnitude of a loss or deficiency. A debt that is owed may be thought of as a negative asset. If a quantity, such as the charge on an electron, may have either of two opposite senses, then one ....


Number - Wikipedia.

A rational number is a number that can be expressed as a fraction with an integer numerator and a positive integer denominator. Negative denominators are allowed, but are commonly avoided, as every rational number is equal to a fraction with positive denominator. Fractions are written as two integers, the numerator and the denominator, with a ....


Peace and conflict studies - Wikipedia.

Peace and conflict studies is a social science field that identifies and analyzes violent and nonviolent behaviours as well as the structural mechanisms attending conflicts (including social conflicts), with a view towards understanding those processes which lead to a more desirable human condition. A variation on this, peace studies (irenology), is an interdisciplinary effort ....


Quotient - Wikipedia.

A rational number can be defined as the quotient of two integers (as long as the denominator is non-zero). A more detailed definition goes as follows: A real number r is rational, if and only if it can be expressed as a quotient of two integers with a nonzero denominator. A real number that is not rational is irrational..


Rational Unified Process - Wikipedia.

The Rational Unified Process (RUP) is an iterative software development process framework created by the Rational Software Corporation, a division of IBM since 2003. RUP is not a single concrete prescriptive process, but rather an adaptable process framework, intended to be tailored by the development organizations and software project teams that will select the elements of ....


Integer - Wikipedia.

An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component.For example, 21, 4, 0, and -2048 are integers, while 9.75, 5 + 1 / 2, and ? 2 are not. The set of integers consists of zero (), the positive natural numbers (1, 2, 3, ...), also called whole numbers or counting numbers, and their additive inverses (the ....


Square root of 2 - Wikipedia.

The square root of 2 (approximately 1.4142) is a positive real number that, when multiplied by itself, equals the number 2.It may be written in mathematics as or /, and is an algebraic number.Technically, it should be called the principal square root of 2, to distinguish it from the negative number with the same property.. Geometrically, the square root of 2 is the length of a ....


Ordinal number - Wikipedia.

In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, n th, etc.) aimed to extend enumeration to infinite sets.. A finite set can be enumerated by successively labeling each element with the least natural number that has not been previously used. To extend this process to various infinite sets, ordinal numbers are defined more ....


Exponentiation - Wikipedia.

Exponentiation is a mathematical operation, written as b n, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n ". When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases:.


Phrases from The Hitchhiker's Guide to the Galaxy - Wikipedia.

The 42 Puzzle is a game devised by Douglas Adams in 1994 for the United States series of The Hitchhiker's Guide to the Galaxy books. The puzzle is an illustration consisting of 42 multi-coloured balls, in 7 columns and 6 rows. Douglas Adams has said, Everybody was looking for hidden meanings and puzzles and significances in what I had written (like 'is it significant that ....


Arjuna - Wikipedia.

Arjuna (Sanskrit: ??????, IAST: Arjuna), also known as Partha and Dhananjaya, is a character in several ancient Hindu texts, and specifically one of the major characters of the Indian epic Mahabharata.In the epic, he is the third among Pandavas, the five sons of Pandu.The family formed part of the royal line of the Kuru Kingdom.In the Mahabharata War, Arjuna was a key ....


Polynomial - Wikipedia.

where c is an arbitrary constant. For example, antiderivatives of x 2 + 1 have the form 1 / 3 x 3 + x + c.. For polynomials whose coefficients come from more abstract settings (for example, if the coefficients are integers modulo some prime number p, or elements of an arbitrary ring), the formula for the derivative can still be interpreted formally, with the coefficient ka k understood ....


Infinitesimal - Wikipedia.

In linear algebra, the dual numbers extend the reals by adjoining one infinitesimal, the new element ? with the property ? 2 = 0 (that is, ? is nilpotent).Every dual number has the form z = a + b? with a and b being uniquely determined real numbers.. One application of dual numbers is automatic differentiation.This application can be generalized to polynomials in n variables, ....


Sapiens: A Brief History of Humankind - Wikipedia.

Sapiens: A Brief History of Humankind (Hebrew: ????? ?????? ???????, [Kitsur toldot ha-enoshut]) is a book by Yuval Noah Harari, first published in Hebrew in Israel in 2011 based on a series of lectures Harari taught at The Hebrew University of Jerusalem, and in English in 2015. The book, focusing on Homo sapiens, surveys the history of humankind, starting from the Stone ....


Epistemology - Wikipedia.

Epistemology (/ I ? p I s t ? ' m ? l ? d? i / (); from Ancient Greek ??????u? (episteme) 'knowledge', and -logy), or the theory of knowledge, is the branch of philosophy concerned with knowledge.Epistemologists study the nature, origin, and scope of knowledge, epistemic justification, the rationality of belief, and various related issues.. Epistemology is considered a ....


Veganism - Wikipedia.

Veganism is the practice of abstaining from the use of animal products, particularly in diet, and an associated philosophy that rejects the commodity status of animals. An individual who follows the diet or philosophy is known as a vegan.Distinctions may be made between several categories of veganism. Dietary vegans, also known as "strict vegetarians", refrain from consuming meat, ....