My definition of this much abused adjective is that a reconstructed rebel is one who is glad that the North won the War.

At this point a working definition of idea is in order, although our first definition will have to be qualified somewhat as we proceed.

A tragedy, by his definition, is an imitation of an action that is serious, of a certain magnitude, and complete in itself.

Now good definition is one thing that all of us can acquire with occasional high-set, high-rep, light-weight workouts.

But contest definition -- that dramatic muscular separation of every muscle group that seems as though it must have been carved by a sculptor's chisel -- is something quite different.

It is the one exercise that drastically influences the definition of the thighs at the hipline -- that mark of the champion that sets him apart from all other bodybuilders ; ;

But for purely definition purposes -- used in conjunction with your regular Squatting, Leg Curling, Leg Extensor programs -- a heavy weight is not needed.

If Af is the operator induced on Af by T, then evidently Af, because by definition Af is 0 on the subspace Af.

Though there is obviously great need for continued experimentation with various types of short-term intervention to further efforts in developing an operational definition of prevention at the secondary -- or perhaps, in some instances, primary -- level, the place of short-term intervention has already been documented by a number of investigators in a wide variety of settings.

Finally, when the accelerometer output is zero, the entire system remains stationary, and the platform is, by definition, leveled.

When her brother Winslow became a student at Brown University in 1874, she wrote him about a course in history he was taking under Professor Diman: `` What is Prof. Diman's definition of civilization, and take the world through, is its progress ever onward, or does it retrograde at times??

One definition of paternalism is `` The principle or practice, on the part of a government, of managing the affairs of a country in the manner of a father dealing with his children ''.

If Bultmann's own definition of myth is strictly adhered to ( and it is interesting that this is almost never done by those who make such pronouncements ), the evidence is overwhelming that he does not at all exaggerate the extent to which the mythological concepts of traditional theology have become incredible and irrelevant.

Anarchism is generally defined as the political philosophy which holds the state to be undesirable, unnecessary, and harmful ,< ref name =" definition ">

The majority of the clocks are caesium clocks ; the definition of the SI second is written in terms of caesium.

Another definition of asymmetric makes asymmetry equivalent to antisymmetry plus irreflexivity.

An equivalent definition is the radius of an unperturbed circular Newtonian orbit about the Sun of a particle having infinitesimal mass, moving with an angular frequency of radians per day ; or that length such that, when used to describe the positions of the objects in the Solar System, the heliocentric gravitational constant ( the product GM < sub >☉</ sub >) is equal to ()< sup > 2 </ sup > AU < sup > 3 </ sup >/ d < sup > 2 </ sup >.

A more abstract definition, which is equivalent but more easily generalized to infinite-dimensional spaces, is to say that bras are linear functionals on kets, i. e. operators that input a ket and output a complex number.

For alternative ( equivalent ) formulations of the definition in terms of a bijective function or a surjective function, see the section Formal definition and properties below.

It relies on the following equivalent definition of differentiability at a point: A function g is differentiable at a if there exists a real number g ′( a ) and a function ε ( h ) that tends to zero as h tends to zero, and furthermore

These definitions are equivalent to one another, so the most convenient definition can be used to determine whether a given function is continuous or not.

Such a definition can be formulated in terms of equivalence classes of smooth functions on M. Informally, we will say that two smooth functions f and g are equivalent at a point x if they have the same first-order behavior near x.

: Turing's thesis: " Turing's thesis that every function which would naturally be regarded as computable is computable under his definition, i. e. by one of his machines, is equivalent to Church's thesis by Theorem XXX.

An alternative and equivalent definition of Carmichael numbers is given by Korselt's criterion.

A bit, or a group of malfunctioning physical bits ( not always the specific defective bit is known ; group definition depends on specific storage device ) is typically automatically fenced-out, taken out of use by the device, and replaced with another functioning equivalent group in the device, where the corrected bit values are restored ( if possible ).

A bit, or a group of malfunctioning physical bits ( not always the specific defective bit is known ; group definition depends on specific storage device ) is typically automatically fenced-out, taken out of use by the device, and replaced with another functioning equivalent group in the device, where the corrected bit values are restored ( if possible ).

) This orthogonality condition can be used to derive the formula for the IDFT from the definition of the DFT, and is equivalent to the unitarity property below.

In addition to the definition above, there is an equivalent definition.

Yet another equivalent definition of the ellipse is that it is the set of points that are equidistant from one point in the plane ( a focus ) and a particular circle, the directrix circle ( whose center is the other focus ).

The electric field was formally defined as the force exerted per unit charge, but the concept of potential allows for a more useful and equivalent definition: the electric field is the local gradient of the electric potential.

Boltzmann showed that this definition of entropy was equivalent to the thermodynamic entropy to within a constant number which has since been known as Boltzmann's constant.

Baslieus, a title which had long been used for Alexander the Great was already in common usage as the Greek word for the Roman emperor, but its definition and sense was " King " in Greek, essentially equivalent with the Latin Rex.

An equivalent definition of group homomorphism is: The function h: G → H is a group homomorphism if whenever we have.

This statement is equivalent to the first of the above-given definitions of the inverse, and it becomes equivalent to the second definition if Y coincides with the codomain of ƒ.

In this case, the above definition can be characterized by the following equivalent statement:

In an equivalent formal definition, NP is the set of decision problems where the " yes "- instances can be decided in polynomial time by a non-deterministic Turing machine.

* Duality: Every statement, theorem, or definition in category theory has a dual which is essentially obtained by " reversing all the arrows ".

According to the logical positivists, unless a statement could be verified by experience, or else was true or false by definition ( i. e. either tautological or contradictory ), then it was meaningless ( this is a summary statement of their verification principle ).

In classical thought, a definition was taken to be a statement of the essence of a thing.

As of April 2011, the only definitional statement issued by the IAU that pertains to exoplanets is a working definition issued in 2001 and modified in 2003.

For example, the statement " A society is free if and only if liberty is maximized and people are required to take responsibility for their actions " is true or paradoxical, depending on the individual's definition of liberty.

In category theory, this statement is used as the definition of an inverse morphism.

This statement is an obvious consequence of the deduction that for ƒ to be invertible it must be injective ( first definition of the inverse ) or bijective ( second definition ).

When the statement " all A are B " is qualified like this to exclude those A which are not B, this is a form of begging the question ; the conclusion is assumed by the definition of " true A ".

While it is one of the most commonly used concepts in logic it must not be mistaken for a logical law ; rather, it is one of the accepted mechanisms for the construction of deductive proofs that includes the " rule of definition " and the " rule of substitution " Modus ponens allows one to eliminate a conditional statement from a logical proof or argument ( the antecedents ) and thereby not carry these antecedents forward in an ever-lengthening string of symbols ; for this reason modus ponens is sometimes called the rule of detachment.

The European Union, in the principal statement of its Badinter Committee, follows the Montevideo Convention in its definition of a state: by having a territory, a population, and a political authority.

The fallacy is committed whenever a statement to the effect that some object has a simple indefinable property is misunderstood as a definition that gives the meaning of the simple indefinable property:

The book " Archbold " said that it appears to be immaterial whether the court, before which the statement is made, has jurisdiction in the particular cause in which the statement is made, because there is no express requirement in the Act that the court be one of " competent jurisdiction " and because the definition in section 1 ( 2 ) does not appear to require this by implication either.

More generally, the statement must occur in the " course of justice ," but this definition leaves room open for interpretation.

The Dunnigan distinction manifests its importance in with regard to the relation between two component parts of perjury ’ s definition: in willfully giving a false statement, a person must understand that she is giving a false statement to be considered a perjurer under the Dunnigan framework.

Another, notably different, response was to accept the classical definition, as reflected in the following statement:

The definition of the second was later refined at the 1997 meeting of the BIPM to include the statement

There are at least two reasons why this statement is not taken to be the definition of independence: ( 1 ) the two events A and B do not play symmetrical roles in this statement, and ( 2 ) problems arise with this statement when events of probability 0 are involved.