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Definitions

A Wisdom Archive on Definitions

Definitions

A selection of articles related to Definitions

We recommend this article: Definitions - 1, and also this: Definitions - 2.
definitions, Definitions, Definitions - Terms for Wiktionary

ARTICLES RELATED TO Definitions

Definitions: Encyclopedia II - Baire space - Definition

The precise definition of a Baire space has undergone slight changes throughout history, mostly due to prevailing needs and viewpoints. First, we give the usual modern definition, and then we give a historical definition which is closer to the definition originally given by Baire. Baire space - Modern definition. A topological space is called a Baire space if the countable union of any collection of closed se ...

See also:

Baire space, Baire space - Motivation, Baire space - Definition, Baire space - Modern definition, Baire space - Historical definition, Baire space - Examples, Baire space - Baire category theorem, Baire space - Properties

Read more here: » Baire space: Encyclopedia II - Baire space - Definition

Definitions: Encyclopedia II - Silver ratio - Definition

Silver ratio - Definition as . The silver ratio (δS) is defined as the irrational number formed from the sum of 1 and the square root of 2. That is: It follows from this definition that: (δS − 1)2 = 2. Silver ratio - Definition as . The silver ratio can also be defined by the simple continued fract ...

See also:

Silver ratio, Silver ratio - Definition, Silver ratio - Definition as, Silver ratio - Definition as, Silver ratio - Properties, Silver ratio - Silver means, Silver ratio - External link

Read more here: » Silver ratio: Encyclopedia II - Silver ratio - Definition

Definitions: Encyclopedia II - Hectogram - Definition

1 Hectogram is equal to 100 grams: {1Hg = 100g} A Hectogram is the tenth (1/10) of a kilogram: {1Hg = 0.1 Kg} ...

See also:

Hectogram, Hectogram - Definition, Hectogram - Uses

Read more here: » Hectogram: Encyclopedia II - Hectogram - Definition

Definitions: Encyclopedia II - Mixin - Definition and implementation

In Simula the classes are defined in a block in which attributes, methods and class initialization are all defined together, and so all the methods that can be invoked on a class are defined together, and the definition of the class is complete. With mixins the class definition defines only the attributes and parameters associated with that class; methods are left to be defined elsewhere, as in Flavors and CLOS, and are called "generic functions". These generic functions are function ...

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Mixin, Mixin - Definition and implementation, Mixin - Commentary

Read more here: » Mixin: Encyclopedia II - Mixin - Definition and implementation

Definitions: Encyclopedia II - Classical definition of effeminacy - Ancient and Hellenistic Greece

Classical definition of effeminacy - Literary sense. In common literary prose, the term malakos is an adjective applied to things: "Nay, bespeak thou him with gentle words; so shall the Olympian forthwith be gracious unto us." (15) "Why then did you go out? To see a man clothed in soft raiment? Behold those who wear soft raiment are in kings' houses." (Matthew 11:8; similar passage at Luke 7:25.) See also:

Classical definition of effeminacy, Classical definition of effeminacy - Ancient and Hellenistic Greece, Classical definition of effeminacy - Literary sense, Classical definition of effeminacy - Philosophical sense, Classical definition of effeminacy - United States, Classical definition of effeminacy - Bible, Classical definition of effeminacy - St Thomas Aquinas, Classical definition of effeminacy - Lexicon entry, Classical definition of effeminacy - Lexicon entry for synonyms, Classical definition of effeminacy - Other occurrences of the word, Classical definition of effeminacy - Malaka and malakia in modern Greek, Classical definition of effeminacy - Bibliography

Read more here: » Classical definition of effeminacy: Encyclopedia II - Classical definition of effeminacy - Ancient and Hellenistic Greece

Definitions: Encyclopedia II - Matroid - Definition by independent sets

For convenience and simplicity we begin with the definition by independent sets. In this definition a matroid M on a ground set E is a pair (E, I), where I is a collection of subsets of E (called the independent sets) with the following properties: The empty set is independent. Every subset of an independent set is independent; this is sometimes called the hereditary property. If A and B are two independent sets and A has more e ...

See also:

Matroid, Matroid - Definition by independent sets, Matroid - Definition by closure operator, Matroid - Examples, Matroid - Further definitions and properties, Matroid - Further examples, Matroid - Weighted matroids and greedy algorithms, Matroid - History

Read more here: » Matroid: Encyclopedia II - Matroid - Definition by independent sets

Definitions: Encyclopedia II - Orbifold - Formal definition

The formal definition goes along the same lines as a definition of manifold, but instead of taking domains in Rn as the target spaces of charts one should take domains of finite quotients of Rn. A (topological) orbifold O, is a Hausdorff topological space X with countable base, called the underlying space, with an orbifold structure, w ...

See also:

Orbifold, Orbifold - Formal definition, Orbifold - Orbifolds in string theory, Orbifold - History

Read more here: » Orbifold: Encyclopedia II - Orbifold - Formal definition

Definitions: Encyclopedia II - K3 surface - Definition

There are many equivalent properties that can be used to characterize a K3 surface. The definition given depends on the context: In differential geometry, a typical definition is of "a compact, complex, simply connected surface with trivial canonical line bundle". In algebraic geometry, the definition "a surface, X, with trivial canonical class such that H1(X,OX) = 0." is preferred since it generalizes to more arbitrary base fields (not just the complex numbers). Here, See also:

K3 surface, K3 surface - Definition, K3 surface - Important Properties, K3 surface - Examples

Read more here: » K3 surface: Encyclopedia II - K3 surface - Definition

Definitions: Encyclopedia II - Degree matrix - Definition

Given a graph G = (V,E) with the degree matrix D for G is a square matrix defined as ...

See also:

Degree matrix, Degree matrix - Definition, Degree matrix - Examples

Read more here: » Degree matrix: Encyclopedia II - Degree matrix - Definition

Definitions: Encyclopedia II - Uniform space - Definition

Uniform space - Entourage definition. A uniform space (X,Φ) is a set X equipped with a nonempty family of subsets of the Cartesian product X × X (Φ is called the uniform structure of X and its elements entourages (French:neighborhoods) or surroundings) with the following properties if U is in Φ, then U contains the diagonal { (x, x) : x in X }. if U is in Φ and V i ...

See also:

Uniform space, Uniform space - History, Uniform space - Definition, Uniform space - Entourage definition, Uniform space - Uniform cover definition, Uniform space - Pseudometrics definition, Uniform space - Intuition, Uniform space - Examples, Uniform space - Uniformly continuous functions, Uniform space - Topology of uniform spaces, Uniform space - Completeness

Read more here: » Uniform space: Encyclopedia II - Uniform space - Definition

Definitions: Encyclopedia II - Integral - Definitions by means of an integral

Several mathematical functions and constants can be defined by using an integral. The natural logarithm is usually defined as The mathematical constant e may then be defined as the number such that ...

See also:

Integral, Integral - Computing integrals, Integral - Approximation of definite integrals, Integral - Integrals and computerized algebra systems, Integral - Improper integrals, Integral - Definitions of the integral, Integral - Definitions by means of an integral

Read more here: » Integral: Encyclopedia II - Integral - Definitions by means of an integral

Definitions: Encyclopedia II - Glossary of anatomical terminology definitions and abbreviations - Anatomical localisation

The terms used for anatomical localisation are best understood if we think of an animal with a straight CNS, like a lizard. Here the terms "rostral", "caudal", "ventral" and "dorsal" mean respectively towards the rostrum, towards the tail, towards the belly and towards the back. In humans and other primates, the axis of the CNS is bent, and the face (the rostrum) is no longer at one end of the rostro-caudal axis. So, for the brain, "caudal" means tow ...

See also:

Glossary of anatomical terminology definitions and abbreviations, Glossary of anatomical terminology definitions and abbreviations - Anatomical localisation, Glossary of anatomical terminology definitions and abbreviations - Alphabetical Index of Terms, Glossary of anatomical terminology definitions and abbreviations - A, Glossary of anatomical terminology definitions and abbreviations - B, Glossary of anatomical terminology definitions and abbreviations - C, Glossary of anatomical terminology definitions and abbreviations - D, Glossary of anatomical terminology definitions and abbreviations - E, Glossary of anatomical terminology definitions and abbreviations - F, Glossary of anatomical terminology definitions and abbreviations - G, Glossary of anatomical terminology definitions and abbreviations - H, Glossary of anatomical terminology definitions and abbreviations - I, Glossary of anatomical terminology definitions and abbreviations - J, Glossary of anatomical terminology definitions and abbreviations - K, Glossary of anatomical terminology definitions and abbreviations - L, Glossary of anatomical terminology definitions and abbreviations - M, Glossary of anatomical terminology definitions and abbreviations - N, Glossary of anatomical terminology definitions and abbreviations - O, Glossary of anatomical terminology definitions and abbreviations - P, Glossary of anatomical terminology definitions and abbreviations - Q, Glossary of anatomical terminology definitions and abbreviations - R, Glossary of anatomical terminology definitions and abbreviations - S, Glossary of anatomical terminology definitions and abbreviations - T, Glossary of anatomical terminology definitions and abbreviations - U, Glossary of anatomical terminology definitions and abbreviations - V, Glossary of anatomical terminology definitions and abbreviations - W, Glossary of anatomical terminology definitions and abbreviations - X, Glossary of anatomical terminology definitions and abbreviations - Y, Glossary of anatomical terminology definitions and abbreviations - Z

Read more here: » Glossary of anatomical terminology definitions and abbreviations: Encyclopedia II - Glossary of anatomical terminology definitions and abbreviations - Anatomical localisation

Definitions: Encyclopedia II - Comodule - Formal definition

Let K be a field, and C be a coalgebra over K. A (right) comodule over C is a K-vector space M together with a linear map such that , where Δ is the comultiplication for C, and ε is the counit. Note that in the second rule we have identified with . ...

See also:

Comodule, Comodule - Formal definition, Comodule - Examples

Read more here: » Comodule: Encyclopedia II - Comodule - Formal definition

Definitions: Encyclopedia II - Radiance - Definition

Radiance is defined by where the approximation holds for small A and Ω, L is the radiance (W·m-2·sr-1), Φ is the radiant flux or power (W), θ is the angle between the surface normal and the specified direction, A is the area of the source (m2), and Ω is the solid angle (sr). The spectral radiance (radiance per unit wavelength) is written Lλ and the radiance per unit freq ...

See also:

Radiance, Radiance - Definition

Read more here: » Radiance: Encyclopedia II - Radiance - Definition

Definitions: Encyclopedia II - Nitride - Definition

The nitride ion is N3- (a nitrogen atom plus three electrons). A nitride (compound) is a compound that has nitrogen with more electropositive elements. ...

See also:

Nitride, Nitride - Definition, Nitride - Examples, Nitride - Discussion

Read more here: » Nitride: Encyclopedia II - Nitride - Definition

Definitions: Encyclopedia II - Nitrite - Definition

The nitrite ion is NO2-. A nitrite compound is one that contains this group, either an ionic compound, or an analogous covalent one. These may be considered salts or esters of nitrous acid. ...

See also:

Nitrite, Nitrite - Definition, Nitrite - Examples, Nitrite - Discussion

Read more here: » Nitrite: Encyclopedia II - Nitrite - Definition

Definitions: Encyclopedia II - Luminance - Definition

Luminance is defined by where L is the luminance (cd/m2), F is the luminous flux or luminous power (lm), θ is the angle between the surface normal and the specified direction, A is the area of the source (m2), and Ω is the solid angle (sr). ...

See also:

Luminance, Luminance - Definition

Read more here: » Luminance: Encyclopedia II - Luminance - Definition

Definitions: Encyclopedia II - Abel's identity - Definition

Given a homogeneous linear second-order ordinary differential equation Abel's identity can be written as where W(x) is the Wronskian of the two linearly independent solutions to the differential equation. ...

See also:

Abel's identity, Abel's identity - Definition, Abel's identity - Derivation

Read more here: » Abel's identity: Encyclopedia II - Abel's identity - Definition

Definitions: Encyclopedia II - Graph homomorphism - Definition

A graph homomorphism f from a graph G: = (V,E) to a graph G': = (V',E'), written is a mapping from the vertex set of G to the vertex set of G' such that whenever . The above definition is extended to directed graphs. Then, for a homomorphism , (f(u),f(v)) is an arc ...

See also:

Graph homomorphism, Graph homomorphism - Definition, Graph homomorphism - Notes

Read more here: » Graph homomorphism: Encyclopedia II - Graph homomorphism - Definition

Definitions: Encyclopedia II - Differintegral - Definitions via transforms

Using the continuous Fourier transform, here denoted F: in Fourier space, differentiation transforms into a multiplication: which generalizes to Under the Laplace transform, here denoted by L, differentiation transforms to a multiplication Generalizing to arbitrary order and solving f ...

See also:

Differintegral, Differintegral - Standard definitions, Differintegral - Definitions via transforms, Differintegral - Basic formal properties, Differintegral - Some basic formulae

Read more here: » Differintegral: Encyclopedia II - Differintegral - Definitions via transforms

Definitions: Encyclopedia II - Chlorate - Definition

The chlorate ion ClO3-. A chlorate (compound) is a compound that contains this group, with chlorine in oxidation state +5. ...

See also:

Chlorate, Chlorate - Definition, Chlorate - Examples, Chlorate - Preparation, Chlorate - Discussion

Read more here: » Chlorate: Encyclopedia II - Chlorate - Definition

Definitions: Encyclopedia II - Perchlorate - Scientific definition

The perchlorate ion is ClO4-. A perchlorate (compound) is a compound containing this group, with chlorine in oxidation state +7. ...

See also:

Perchlorate, Perchlorate - Scientific definition, Perchlorate - Perchlorate pollution, Perchlorate - Types of perchlorates

Read more here: » Perchlorate: Encyclopedia II - Perchlorate - Scientific definition




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