Thus, if public pressure sets the effective limit to the price that the industry may charge, this pressure is itself a function of the wage rate.

** Any union of countably many countable sets is itself countable.

In the category of sets, endomorphisms are simply functions from a set S into itself.

The rate of decomposition is governed by three sets of factors — the physical environment ( temperature, moisture and soil properties ), the quantity and quality of the dead material available to decomposers, and the nature of the microbial community itself.

That is, The Great Train Robbery contains scenes shot on sets of a telegraph station, a railroad car interior, and a dance hall, with outdoor scenes at a railroad water tower, on the train itself, at a point along the track, and in the woods.

In addition to the relatively looser constraints on character and message at lower budgets, the nature of B production lent itself to the noir style for directly economic reasons: dim lighting not only saved on electrical costs but helped cloak cheap sets ( mist and smoke also served the cause ); night shooting was often compelled by hurried production schedules ; plots with obscure motivations and intriguingly elliptical transitions were sometimes the consequence of hastily written scripts, of which there was not always enough time or money to shoot every scene.

The I (' Das Ich ') itself sets this situation up for itself ( it posits itself ).

The ' I ' must set ( setzen ) itself in order to be an ' I ' at all ; but it can set itself only insofar as it sets itself up as limited.

This is especially so because, being recited before sunset, it is actually recited on 9 Tishri, which is the day before Yom Kippur ; it is not recited on Yom Kippur itself ( on 10 Tishri, which begins after the sun sets ).

# If A is a disjoint union of countably many disjoint Lebesgue measurable sets, then A is itself Lebesgue measurable and λ ( A ) is equal to the sum ( or infinite series ) of the measures of the involved measurable sets.

In Kolmogorov's formulation ( see probability space ), sets are interpreted as events and probability itself as a measure on a class of sets.

Long-Tailed Widow Bird offspring of both sexes will inherit both sets of genes, with females expressing their genetic preference for long tails, and males showing off the coveted long tail itself.

Adorno's work sets out from a central insight he shares with all early 20th century avant-garde art: The recognition of what is primitive in ourselves and the world itself.

The 0-faces ( i. e., the defining points themselves as sets of size 1 ) are called the vertices ( singular: vertex ), the 1-faces are called the edges, the ( n − 1 )- faces are called the facets, and the sole n-face is the whole n-simplex itself.

Each convex set containing X must ( by the assumption that it is convex ) contain all convex combinations of points in X, so the set of all convex combinations is contained in the intersection of all convex sets containing X. Conversely, the set of all convex combinations is itself a convex set containing X, so it also contains the intersection of all convex sets containing X, and therefore the sets given by these two definitions must be equal.

If R qualifies as a member of itself, it would contradict its own definition as a set containing all sets that are not members of themselves.

Now we consider the set of all normal sets, R. Determining whether R is normal or abnormal is impossible: If R were a normal set, it would be contained in the set of normal sets ( itself ), and therefore be abnormal ; and if R were abnormal, it would not be contained in the set of all normal sets ( itself ), and therefore be normal.

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 ; ;

What sets Negro-appeal programing apart from other radio shows??

As in Classical architecture, in Gothic architecture, too, an aedicule or tabernacle frame is a structural framing device that gives importance to its contents, whether an inscribed plaque, a cult object, a bust or the like, by assuming the tectonic vocabulary of a little building that sets it apart from the wall against which it is placed.

In addition to student and regular members, ACM has several advanced membership grades to recognize those with multiple years of membership and " demonstrated performance that sets them apart from their peers ".

What sets it apart from other approaches, however, is its focus on developing and applying computationally intensive techniques to achieve this goal.

It is this radical notion that peasants were part of feudal relationship that sets Bloch apart from his peers.

Since they are based on several independent sets of measurements taken decades apart by different observers with different instruments, systematic errors may have influenced them.

The chief method of deployment of Greek fire, which sets it apart from similar substances, was its projection through a tube ( siphōn ), for use aboard ships or in sieges.

The " dō " in " karate-dō " sets it apart from karate-jutsu, as aikido is distinguished from aikijutsu, judo from jujutsu, kendo from kenjutsu and iaido from iaijutsu.

'" What sets apart the poem from the others is its " verbal enactment of the creative process " which makes it " unique even among the three poems of high imagination.

* owning personal property apart from a bowl, a cup, two sets of clothing and medical aids such as eyeglasses ;

Different from goddesses, nymphs are generally regarded as divine spirits who animate nature, and are usually depicted as beautiful, young nubile maidens who love to dance and sing ; their amorous freedom sets them apart from the restricted and chaste wives and daughters of the Greek polis.

Another thing that sets Hasidic Judaism apart from general Haredi Judaism is the strong emphasis placed on speaking Yiddish.

This sets them apart from the family Boidae ( boas ), most of which bear live young ( ovoviviparous ).

This universalising step, which Singer traces from Kant to Hare, is crucial and sets him apart from those moral theorists, from Hobbes to David Gauthier, who tie morality to prudence.

Descartes frequently sets his views apart from those of his predecessors.

This sets him apart from previous philosophers such as Plato or the Scholastics, who thought that there must be some connection between a signifier and the object it signifies.

For Thomas Kuhn, who presented his thoughts in a paper presented in 1977, a sense of such a critical inheritance of tradition is, historically, what sets apart the best scientists who change their fields is an embrasure of tradition.

The inference from this claim to the general statement that there exists unnecessary evil is inductive in nature and it is this inductive step that sets the evidential argument apart from the logical argument.

A universal computer is defined as a device with a Turing complete instruction set, infinite memory, and an infinite lifespan ; all general purpose programming languages and modern machine instruction sets are Turing complete, apart from having finite memory.

The abundance of spices produced by central Vietnam ’ s mountainous terrain makes this region ’ s cuisine notable for its spicy food, which sets it apart from the two other regions of Vietnam where foods are mostly non-spicy.

Huw's academic ability sets him apart from his elder brothers and enables him to consider a future away from this troubled industrial environment.

His Symphony No. 3 ( the Eroica ), has a scale and emotional range that sets it apart from earlier works.

What sets Rococo apart from Baroque the most is the way the pawns work ; they are called cannonball pawns and move like a King, stepping 1 square in all directions, or leap over any adjacent piece ( friend or foe ).

In addition to the size of the group, Steve Gillon has suggested that one thing that sets the baby boomers apart from other generational groups is the fact that " almost from the time they were conceived, Boomers were dissected, analyzed, and pitched to by modern marketers, who reinforced a sense of generational distinctiveness.