The difference between the two definitions is that under the former, finite sets are also considered to be countable, while under the latter definition, they are not considered to be countable.

The difference between this and an extensional definition is that extensional definitions list members, and not sets.

By inserting the energetic definitions of the ionization potential and electron affinity into the Mulliken electronegativity, it is possible to show that the Mulliken chemical potential is a finite difference approximation of the electronic energy with respect to the number of electrons., i. e.,

Often statements can contradict themselves due to a difference in definitions while defining something.

The difference between modern Shinto and the ancient animistic religions is mainly a refinement of the kami-concept, rather than a difference in definitions.

Thus the difference between the two definitions of real numbers can be thought of as the difference in the interpretation of the statement " for all ... there exists ..."

In order to avoid room for difference in interpretation, law-makers ( codificators ) sometimes deviate from etymological ( definiendum plus definientia ) definitions.

A useful example is the difference in the chronology of the Great Depression in the U. S. under the view of alternative definitions.

The difference here is that this uncertainty is about the human definitions and concepts, not an objective fact of nature.

The only difference in the definitions of chain and cochain complexes is that, in chain complexes, the boundary operators decrease dimension, whereas in cochain complexes they increase dimension.

While the difference in the definitions was very small, with Lenin's being slightly more exclusive ( Lenin's formulation required the party member to be a member of one of the party's organizations, whereas Martov's only stated that he should work under the guidance of a party organization ), it was indicative of what became an essential difference between the philosophies of the two emerging factions: Lenin argued for a small party of professional revolutionaries with a large fringe of non-party sympathizers and supporters, whereas Martov believed it was better to have a large party of activists with broad representation.

The two definitions are equivalent ; however, the difference results in a number of changes.

The WHO acknowledges this difference between the medical and chiropractic definitions of a subluxation.

By inserting the energetic definitions of the ionization potential and electron affinity into the Mulliken electronegativity, it is possible to show that the Mulliken chemical potential is a finite difference approximation of the electronic energy with respect to the number of electrons., i. e.,

This difference is due to the extreme difference in definitions between The Economist and many other models.

In emphasizing the magnitude of the difference between the two alternative definitions, Williamson himself has argued ( below ) that his ten original, narrowly-defined prescriptions have largely acquired the status of " motherhood and apple pie " ( i. e., are broadly taken for granted ), whereas the subsequent broader definition, representing a form of neoliberal manifesto, " never enjoyed a consensus Washington or anywhere much else " and can by now reasonably be said to be dead.

The main difference in the IMF's terminology is that it uses the term " financial account " to capture transactions that would under alternative definitions be recorded in the capital account.

There are two different definitions of caloric value, and the difference between the HCV and LCV definitions causes much confusion when quoters fail to state the convention being used as there is typically a 10 % difference between the two methods for a power plant on natural gas.

Dr. Martin Carnoy of Stanford, Patrick J. McEwan claims that based on his research, when controls for the student's background ( parental income and education ) are introduced, the difference in performance between public and private subsectors is not significant.

Regarding vouchers in Chile, researchers have found that when controls for the student's background ( parental income and education ) are introduced, the difference in performance between public and private subsectors is not significant.

In some valve designs, the pressure of the flow fluid itself or pressure difference of the flow fluid between the ports automatically controls flow through the valve.

There was no difference in whole-brain grey matter volume between patients with bipolar I disorder and healthy controls.

However, another study of 125 multiple-incidence families and 68 single-incidence families found no significant difference between the length of the polymorphic repeats in affected and controls.

Minsky, however, supported traditional banking regulation and advocated further controls of finance to “ promote smaller and simpler organizations weighted more toward direct financing .” Writing from a similar “ neo-Keynesian perspective, Jan Kregel concluded that after World War II non-regulated financial companies, supported by regulatory actions, developed means to provide bank products (“ liquidity and lending accommodation ”) more cheaply than commercial banks through the “ capital markets .” Kregel argued this led banking regulators to eliminate Glass-Steagall restrictions to permit banks to “ duplicate these structures ” using the capital markets “ until there was virtually no difference in the activities of FDIC-insured commercial banks and investment banks .”

Placebo trials of Reiki are complicated by the difficulty of designing a realistic placebo, although subsequent trials with adequate placebo or sham controls have shown no difference between the procedure and the control groups.

While other researchers have found no difference in level of sexual desire between diabetic men and healthy controls.

Reduction of the hysteresis in a griddle system is typically the difference between lower priced griddles and higher performing models, and can be accomplished through a combination of plate material, geometry, temperature controls and control location relative to the plate surface.

The major difference saw the intro of the Holden iQ system, a centre-mounted LCD display that provides navigation, bluetooth, and controls to the stereo.

The volume of the left anterior cingulate gyrus was reduced in schizophrenic patients as compared with controls, but there was not any difference between SPD patients and schizophrenic patients.

A major difference between Herman's work and previous research was his emphasis on a method of studying language comprehension only ( rather than language comprehension and production by the animal ( s )), which enabled rigorous controls and statistical tests, largely because he was limiting his researchers to evaluating the animals ' physical behaviors ( in response to sentences ) with blinded observers, rather than attempting to interpret possible language utterances or productions.

However, because the difference between the cases and the controls will be smaller, this results in a lower power to detect an exposure effect.

If they can do this, and if they can speak about it in the new languages it calls for, they will establish a point of view ( a site of difference ) from which phallogocentric concepts and controls can be seen through and taken apart, not only in theory, but also in practice.

It was found that at certain concentrations, which were well above any normally found in the field, growth was increased and metamorphosis accelerated, but at others, there was no significant difference between the experimental tadpoles and controls.

One study compared patients with ingrown toenails to healthy controls and found no difference in the shape of toenails between patients and controls and suggested that treatment should not be based on the correction of a non-existent nail deformity.

Another rat study ( 28 – 49 days old, or 6. 6 – 10. 4 in human years ) found that, while rats pretreated with THC consumed higher doses of heroin relative to controls, both groups took up self-administration of heroin at the same rate, and there was no significant difference between groups on the reinforcing effects of heroin.

The difference in position between the opposite ends of the torsion bar controls a valve.

As regards the management of patrimonial rights, the difference between copyright and droit d ' auteur is not so clear as in both system the producer controls the exploiting of the work.

Maurice Obstfeld and Alan Taylor calculated hypothetical profits as implied by the expression of a potential inequality in the CIRP equation ( meaning a difference in returns on domestic versus foreign assets ) during the 1960s and 1970s, which would have constituted arbitrage opportunities if not for the prevalence of capital controls.

Thus, it is important for customers to understand the difference between a " bug " and a " feature ", where the latter is defined as an intentional modification to the previous system ( e. g., higher speed, lighter weight, smaller package, better operator controls, etc.

However, a moderate dose of stimulants only affects the heart rate and blood pressure by a few percent at best, and these effects are quickly attenuated through beta receptor downregulation, showing no difference from controls in various studies.

The other reason ( and the one with which I am here concerned ) is that one thus becomes inclined to inquire of any opinion, or change of opinion, whether it represents the wisdom of experience or is only the result of the difference between youth and age which is as inevitable as the all too obvious physical differences.

The controversy of the last few years over whether architects or interior designers should plan the interiors of modern buildings has brought clearly into focus one important difference of opinion.

Certain individual giants recorded later did fail to show a reasonable difference after maturity, but it is impossible to know whether this is due to captive conditions.

Indeed, we should say, on the contrary, that the accident of our later discovery made no difference whatever to the badness of the animal's pain, that it would have been every whit as bad whether a chance passer-by happened later to discover the body and feel repugnance or not.

If anyone asked us, after we made the remark that the suffering was a bad thing, whether we should think it relevant to what we said to learn that the incident had never occurred and no pain had been suffered at all, we should say that it made all the difference in the world, that what we were asserting to be bad was precisely the suffering we thought had occurred back there, that if this had not occurred, there was nothing left to be bad, and that our assertion was in that case mistaken.

And most of all it is not having the only man you could love, whether he drives a bread truck or delivers the mail or checks the berry crates down at the sheds, or owns seventeen oil wells and six diamond mines, for if you are anybody what he is or does makes no difference if he is the one.

When one attempts to solve problems in this class, it makes no difference whether ZF or ZFC is employed if the only question is the existence of a proof.

A key difference is whether supply is ' push ' or ' pull '.

A set S is called countable if there exists an injective function f from S to the natural numbers Since there is an obvious bijection between and it makes no difference whether one considers 0 to be a natural number of not.

Looking at the image above, one might wonder whether adequate account has been taken of the difference in curvature between ρ ( s ) and ρ ( s + ds ) in computing the arc length as ds = ρ ( s ) dθ.

There is a difference of opinion as to whether it is the 13th Station of the Cross, which others identify as the lowering of Jesus from the cross and locate between the 11th and 12th station up on Calvary.

The difference engine and printer were constructed to tolerances achievable with 19th-century technology, resolving a long-standing debate whether Babbage's design would actually have worked.

The main difference between the GPL and the LGPL is that the latter allows the work to be linked with ( in the case of a library, ' used by ') a non -( L ) GPLed program, regardless of whether it is free software or proprietary software.

The Anglican churches hold their bishops to be in Apostolic Succession, although there is some difference of opinion with regard to whether ordination is to be regarded as a sacrament.

However, the difference between Erickson's methods and traditional hypnotism led contemporaries such as André Weitzenhoffer, to question whether he was practicing " hypnosis " at all, and his approach remains in question.

Even so, he gave credit to Wilson for trying to forge something new and progressive, and observed that time would tell whether the ideals of the League would make a difference.

One way this difference of viewpoint plays out is in the philosophical debate as to whether mathematics is created ( as in art ) or discovered ( as in science ).

It makes a difference whether the media calls a group " terrorists " or " freedom fighters " or " insurgents ".

The issue of whether egg matzah is allowed for Passover comes down to whether there is a difference between the various liquids that can be used.

:" There is no difference whether you have a basketful or a small piece.

The syntax of both styles is the same, the difference being whether the class is inherited from, directly or indirectly ( all new-style classes inherit from and are instances of ).

The difference between wild and cultured pearls focuses on whether the pearl was created spontaneously by nature – without human intervention – or with human aid.

When that happens, the phase difference determines whether they reinforce or weaken each other.