* For metric spaces second-countability, separability, and the Lindelöf property are all equivalent.

Smith calls this property separability and Woodall calls it convexity.

According to this view, the story of Jacob's visit to Laban to obtain a wife originated as a metaphor for this migration, with the property and family which were gained from Laban representing the gains of the Joseph tribes by the time they returned from Egypt ; according to textual scholars, the Jahwist version of the Laban narrative only mentions the Joseph tribes, and Rachel, and does not mention the other tribal matriarchs whatsoever.

Note that the associative property does not hold for expressions that include non-linear operators, such as the antilinear time reversal operator in physics.

Not until capitalism emerges in Europe with its individualist ideological underpinnings does the conception of intellectual property and by extension copyright law emerge.

It seems wrong to say that " went to a ballgame " is a property that instantiates John, because " went to a ballgame " does not seem to be the same ontological kind of thing as, for instance, redness.

Economists usually emphasize the degree to which government does not have control over markets ( laissez faire ), as well as the importance of property rights.

In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves.

Strict skeptics maintain that only the property of ' thinking ' is indubitably a property of the meditator ( presumably, they imagine it possible that a thing thinks but does not exist ).

This is a Cauchy sequence of rational numbers, but it does not converge towards any rational limit: If the sequence did have a limit x, then necessarily x < sup > 2 </ sup > = 2, yet no rational number has this property.

Don Quixote tells Sancho and the goatherds about the " Golden Age " of man, reminiscent of both Ovid and the later Rousseau in which property does not exist, and men live in peace.

Density is an intensive property in that increasing the amount of a substance does not increase its density ; rather it increases its mass.

" This broader distribution does not extend to all property, but only to productive property ; that is, that property which produces wealth, namely, the things needed for man to survive.

Under U. S. Supreme Court precedent, a state of incorporation gets to keep any abandoned and unclaimed property, such as uncashed checks and unredeemed gift certificates, if the corporation does not have information about the location of the owner of the property.

For example, a basic property of addition is commutativity which states that the order of numbers being added together does not matter.

Many environmental lawsuits turn on the question of who has standing ; are the legal issues limited to property owners, or does the general public have a right to intervene?

Some authors also require the domain of the Euclidean function be the entire ring R ; this can always be accommodated by adding 1 to the values at all nonzero elements, and defining the function to be 0 at the zero element of R, but the result is somewhat awkward in the case of K. The definition is sometimes generalized by allowing the Euclidean function to take its values in any well-ordered set ; this weakening does not affect the most important implications of the Euclidean property.

This property does not imply that a or b are themselves prime numbers.

Jihad does also refer to the legitimate struggle to defend human rights, such as personal and religious freedom as well as the defense of land, property, and families.

If property really does double every seven years then, in 2009, the average Sydney home would have been worth $ 189, 530, 112. 00.

* Ascertaining relationships among classes ( e. g., does one property of graphs imply another )

The completeness theorem is a central property of first-order logic that does not hold for all logics.

Second-order logic, for example, does not have a completeness theorem for its standard semantics ( but does have the completeness property for Henkin semantics ), and the same is true of all higher-order logics.

they had also had to generalize it -- to the point, finally, where the illusion of depth and relief became abstracted from specific three-dimensional entities and was rendered largely as the illusion of depth and relief as such: as a disembodied attribute and expropriated property detached from everything not itself.

The much stronger axiom of determinacy, or AD, implies that every set of reals is Lebesgue measurable, has the property of Baire, and has the perfect set property ( all three of these results are refuted by AC itself ).

These are made from special ceramics in which mechanical vibrations and electrical fields are interlinked through a property of the material itself.

French Academy member Étienne Gilson summarized this long-known characteristic of the experienced world as follows :"... the word being is a noun ... it signifies either a being ( that is, the substance, nature, and essence of anything existent ), or being itself, a property common to all that which can rightly be said to be.

" Acts of retaliation underscore the ability of the social collective to defend itself and demonstrate to enemies ( as well as potential allies ) that injury to property, rights, or the person will not go unpunished.

In mathematics, a contraction mapping, or contraction, on a metric space ( M, d ) is a function f from M to itself, with the property that there is some nonnegative real number < math > k < 1 </ math > such that for all x and y in M,

We choose this integrating factor because it has the special property that its derivative is itself times the function we are integrating, that is:

The city of Rome itself and the surrounding Suburbicarian diocese ( where Roman senators held the bulk of their landed property ), however, remained exempt.

Electronegativity, symbol < span class =" nounderlines "> χ </ span >, is a chemical property that describes the tendency of an atom or a functional group to attract electrons ( or electron density ) towards itself.

Alternatively, basic beliefs may be justified by some special property of the belief itself, such as its being self-evident or infallible.

Note that this property is itself positive, since it is the conjunction of the ( infinitely many ) positive properties.

* Homological word, a word expressing a property which it possesses itself

The belief is that the human mind itself is the source of wealth and survival and that all property at its base is intellectual property.

" If nature has made any one thing less susceptible than all others of exclusive property, it is the action of the thinking power called an idea, which an individual may exclusively possess as long as he keeps it to himself ; but the moment it is divulged, it forces itself into the possession of every one, and the receiver cannot dispossess himself of it.

In 1958 his son gave the castle itself to the town of Kenilworth and English Heritage has managed the property since 1984.

* Laissez-faire, an economic environment in which the government limits itself to enforcing private property rights and transactions between private parties are free from tariffs, government subsidies, and enforced monopolies

The low-fidelity reproduction of these ubiquitous cards was often assumed to somehow be a property of MIDI itself.

It is here where it can be argued that it's impossible to get a higher or maximum concept of God since existence, as an entity itself, would be the totality of causality, every force to cause, every effect from cause, everything in and of existence, every governing rule or law, every property and attribute, and the very necessity and essence value of all there is, was, could be, or ever will be.

He asserts that land itself cannot be property, yet it should be held by individual possessors as stewards of mankind with the product of labor being the property of the producer.

Thus, private property continually destroys itself, becoming transformed into communal wealth.

Upon presenting a property agreement between spouses to a court of divorce, that court will generally assure itself of the following factors: signatures, legal formalities, intent, later intent, free will, lack of oppression, reasonableness and fairness, consideration, performance, reliance, later repudiation in writing or by conduct, and whichever other concepts of contractual bargaining apply in the context.

In common law countries, possession is itself a property right.