An encyclopedia (alternatively encyclopaedia) is a written compendium of knowledge. The term comes from the Greek ἐγκύκλιος παιδεία (engkuklios paideia), literally "a rounded education." Some encyclopedias are titled cyclopaedia, a now somewhat archaic form of the word. For a list of notable encyclopedia in history, see list of encyclopedias. Encyclopedia - General definition. Four major elements define an ...

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Encyclopedia - General definition Encyclopedia - Early encyclopedic works Encyclopedia - Encyclopedias from the 18th to early 20th century Encyclopedia - Modern encyclopedias Encyclopedia - Encyclopedia manufacture Encyclopedia - Note on spelling

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Encyclopedia, Encyclopedia - General definition, Encyclopedia - Early encyclopedic works, Encyclopedia - Encyclopedias from the 18th to early 20th century, Encyclopedia - Modern encyclopedias, Encyclopedia - Encyclopedia manufacture, Encyclopedia - Note on spelling

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The beginnings of the modern idea of the general-purpose, widely distributed printed encyclopedia precede the 18th-century encyclopedists. However, Chambers' Cyclopaedia, or Universal Dictionary of Arts and Sciences, and the Encyclopédie, Encyclopædia Britannica and the Conversations-Lexikon were the first to realize the form we would recognize today, with a comprehensive scop ...

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Encyclopedia, Encyclopedia - General definition, Encyclopedia - Early encyclopedic works, Encyclopedia - Encyclopedias from the 18th to early 20th century, Encyclopedia - Modern encyclopedias, Encyclopedia - Encyclopedia manufacture, Encyclopedia - Note on spelling

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This page is a candidate to be copied to Wiktionary. The information in this article appears to be more suited for a dictionary rather than an encyclopedia. Wikipedia is not a dictionary, but Wiktionary is. Please verify that this article meets the Wiktionary criteria for inclusion. If this article can be modified to be more than a dictionary entry, please do so and remove this message. DEFINITION#1: Harlot is an archaic term that means a prostitute. In the Middle Ages it sometimes meant "that fellow" in a general derogatory sense for a person of either sex. This usage is now obsolete, ...

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Generating function - Ordinary generating function. The ordinary generating function of a sequence an is When generating function is used without qualification, it is usually taken to mean an ordinary generating function. If an is the probability mass function of a discrete random variable, then its ordinary generating function is called a probability-generating function. The ordinary generating function can ...

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Generating function, Generating function - Definitions, Generating function - Ordinary generating function, Generating function - Exponential generating function, Generating function - Poisson generating function, Generating function - Lambert series, Generating function - Bell series, Generating function - Dirichlet series generating functions, Generating function - Polynomial sequence generating functions, Generating function - Examples, Generating function - Ordinary generating function, Generating function - Exponential generating function, Generating function - Bell series, Generating function - Dirichlet series generating function, Generating function - Another example, Generating function - More detailed example — Fibonacci numbers, Generating function - Applications

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If X is a discrete random variable taking values on some subset of the non-negative integers, {0,1, ...}, then the probability-generating function of X is defined as: where f is the probability mass function of X. Note that the equivalent notation GX is sometimes used to distinguish between the probability-generating functions of several random variables. ...

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Probability-generating function, Probability-generating function - Definition, Probability-generating function - Properties, Probability-generating function - Power series, Probability-generating function - Probabilities and expectations, Probability-generating function - Functions of independent random variables, Probability-generating function - Examples, Probability-generating function - Related concepts

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Most people who use this word are not "crime" specialists. Generally the word indicates a social concept of the person, where a specific social act is generally considered a deliberate and conscious choice of the choices known to be available to the user of the word. For instance, historically left-handedness, epileptic fits and emotional tantrums have been considered "crimes". Crime - General rules. A crime can be the action of violating or breaking a law. According to Western jurisprudence, there must be ...

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Crime, Crime - Definition of crime in general, Crime - General rules, Crime - Trial, Crime - Reasons, Crime - Classification, Crime - Aiding and abetting, Crime - Study, Crime - History, Crime - Natural law theory, Crime - Other uses of the word worldwide

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Suppose is a square matrix. If A is a 1-by-1 matrix, then If A is a 2-by-2 matrix, then For a 3-by-3 matrix A, the formula is more complicated: For a general n-by-n matrix, the determinant was defined by Gottfried Leibniz with wha ...

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Determinant, Determinant - Determinants of 2-by-2 matrices, Determinant - Applications, Determinant - General definition and computation, Determinant - Example, Determinant - Properties, Determinant - Derivative, Determinant - Generalizations and related functions, Determinant - Algorithmic implementation, Determinant - History

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Most people who use this word are not "crime" specialists. Generally the word indicates a social concept of the person, where a specific social act is generally considered a deliberate and conscious choice of the choices known to be available to the user of the word. For instance, historically left-handedness, epileptic fits and emotional tantrums have been considered "crimes". What defines a crime depends on how that crime is viewed. A crime could be viewed from a legal or normative perspective and whether it was in the past or prese ...

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Crime, Crime - Definition of crime in general, Crime - Trial, Crime - Reasons, Crime - Classification, Crime - Aiding and abetting, Crime - Study, Crime - History, Crime - Natural law theory, Crime - Other uses of the word worldwide

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One can define a martingale which is an uncountable family of random variables. Also, those random variables may take values in a more general space than just the real numbers. Let be a directed set, V be a real topological vector space, and its topological dual (denote by this duality). Moreover, let be a filtered probability space, that is a probability space equipped with a family of sigma-algebras with the following property: for each with , one has .

Martingale, Martingale - History, Martingale - Examples of martingales, Martingale - Martingales and stopping times, Martingale - Submartingales and supermartingales, Martingale - Examples of submartingales and supermartingales, Martingale - A more general definition

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Take any Lorentzian manifold, compute its Einstein tensor Gab, which is a purely mathematical operation, divide by 8π, and declare the resulting symmetric second rank tensor field to be the stress-energy tensor Tab. If this procedure were valid, any Lorentzian manifold would be a "solution" of the Einstein field equation, and general relativity would be useless! After all, a crucial demand upon any physical theory is surely that, ...

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Exact solutions in general relativity, Exact solutions in general relativity - Introduction, Exact solutions in general relativity - Difficulties with the definition, Exact solutions in general relativity - Types of exact solution, Exact solutions in general relativity - Constructing solutions, Exact solutions in general relativity - Existence of solutions, Exact solutions in general relativity - Global stability theorems, Exact solutions in general relativity - The positive energy theorem, Exact solutions in general relativity - Examples

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Take any Lorentzian manifold, compute its Einstein tensor Gab, which is a purely mathematical operation, divide by 8π, and declare the resulting symmetric second rank tensor field to be the stress-energy tensor Tab. If this procedure were valid, any Lorentzian manifold would be a "solution" of the Einstein field equation, and general relativity would be useless! After all, a crucial demand upon any physical theory is surely that, ...

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Exact solutions in general relativity, Exact solutions in general relativity - Difficulties with the definition, Exact solutions in general relativity - Types of exact solution, Exact solutions in general relativity - Constructing solutions, Exact solutions in general relativity - Existence of solutions, Exact solutions in general relativity - Global stability theorems, Exact solutions in general relativity - The positive energy theorem, Exact solutions in general relativity - Examples

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The left R-module M is finitely-generated if and only if there exist a1, a2, ..., an in M such that for all x in M, there exist r1, r2, ..., rn in R with x = r1a1 + r2a2 + ... + rnan. The set {a1, a2, ..., an} is re ...

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Finitely-generated module, Finitely-generated module - Intuitive introduction, Finitely-generated module - Formal definition, Finitely-generated module - Some facts, Finitely-generated module - Finitely-presented module

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Mathematically, spacetime is represented by a 4-dimensional differentiable manifold M and the metric is given as a covariant, second-rank, symmetric tensor on M, conventionally denoted by g. Moreover the metric is required to be nondegenerate with signature (-+++). A manifold M equipped with such a metric is called a Lorentzian manifold. Explicitly, the metric is a symmetric bilinear form on each tangent space of M which varies in a smooth (or differentiable) manner from point to point. Give ...

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Metric tensor general relativity, Metric tensor general relativity - Definition, Metric tensor general relativity - Local coordinates and matrix representations, Metric tensor general relativity - Examples, Metric tensor general relativity - Flat spacetime, Metric tensor general relativity - Schwarzschild metric, Metric tensor general relativity - Volume, Metric tensor general relativity - Derivation, Metric tensor general relativity - Curvature, Metric tensor general relativity - Einstein's equations

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The notation '+' is reserved for commutative binary operations, i.e. such that x + y = y + x, for all x,y. If such an operation admits a neutral element o (such that x + o (= o + x) = x for all x), then this element is unique (o' = o' + o = o). If then, for a given x, there exists x' such that x + x' (= x' + x) = o, then x' is called an additive inverse of x. If '+' is associative ((x+y)+z = x+(y+z) for all x,y,z), then an additive inverse is unique ( x" = x" ...

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Additive inverse, Additive inverse - General definition, Additive inverse - Other examples, Additive inverse - Universal construction

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Let E be a set with an internal operation + . A T-periodic function, or function periodic with period T on E is a function f on E to some set F, such that for all x in E, f(x + T) = f(x). Note that unless + is assumed commutative this definition depends on writing T on the right. ...

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Periodic function, Periodic function - General definition, Periodic function - Periodic sequences, Periodic function - Translational symmetry

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A non-empty subset F of a partially ordered set (P,≤) is a filter, if the following conditions hold: For every x, y in F, there is some element z in F, such that z ≤ x and z ≤ y. (F is a filter base) For every x in F and y in P, x ≤ y implies that y is in F. (F is an upper set) A filter is See also:

Filter mathematics, Filter mathematics - General definition, Filter mathematics - Filter on a set, Filter mathematics - Examples, Filter mathematics - Filters in model theory, Filter mathematics - Filters in topology, Filter mathematics - Filters in uniform spaces

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Let N be a positive integer. The modular group Γ0(N) is defined as Let k be a positive integer. A modular form of weight k with level N (or level group Γ0(N)) is a holomorphic function f on the upper half-plane such that for any and any z i ...

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Modular form, Modular form - As a function on lattices, Modular form - As a function on elliptic curves, Modular form - General definitions, Modular form - Examples, Modular form - Generalizations

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Let f: P → Q be a function between two sets P and Q, where each set carries a partial order (both of which we denote by ≤). In calculus one focuses on functions between subsets of the reals and the order ≤ is just the usual ordering on real numbers, but this is not essential for this definition. The function f is monotone if, whenever x ≤ y, then f(x) ≤ f(y). Stated differently, a ...

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Monotonic function, Monotonic function - General definition, Monotonic function - Monotonicity in calculus and analysis, Monotonic function - Some basic applications and results, Monotonic function - Monotonicity in order theory, Monotonic function - Monotonic logic

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Generally a vehicle is considered to be a luxury vehicle if its manufacturer's suggested retail price (MSRP) is above $38,000 and it offers a high degree of comfort. A vehicle may still be considered an entry-level luxury vehicle if its base MSRP is between $28,000 and $38,000 and it is manufactured by a luxury car maker, a car manufacturer of which the majority of all vehicles sold featured base MSRPs of $38,000 or above. General guidelines; in order to be considered a luxury or entry-level luxury vehicle, a vehicle mus ...

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Luxury car, Luxury car - General Definition U.S., Luxury car - Non-luxury prestige vehicles, Luxury car - Luxury Market Segments U.S., Luxury car - Entry-level luxury, Luxury car - Mid-luxury segment, Luxury car - High-end luxury segment, Luxury car - Ultra-luxury segment, Luxury car - Luxury car manufacturers, Luxury car - Current luxury car manufacturers, Luxury car - Past luxury car manufacturers, Luxury car - Semi-luxury brands

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