It also maintains shops for the design and fabrication of exhibits, training aids and instruments and libraries for the loan of films and teaching lantern slide sets.

In class theories such as Von Neumann – Bernays – Gödel set theory and Morse – Kelley set theory, there is a possible axiom called the axiom of global choice which is stronger than the axiom of choice for sets because it also applies to proper classes.

Similarly, the subset order ⊆ on the subsets of any given set is antisymmetric: given two sets A and B, if every element in A also is in B and every element in B is also in A, then A and B must contain all the same elements and therefore be equal:

It also sets forth the redressing of socio-economic differences stemming from colonial-and apartheid-era policies as a central focus of ANC policy.

To clarify, when one says that the Lebesgue measure is an extension of the Borel measure, it means that every Borel measurable set E is also a Lebesgue measurable set, and the Borel measure and the Lebesgue measure coincide on the Borel sets ( i. e., for every Borel measurable set ).

To make the show more cost-effective, it was also shot with virtually no outdoor scenes ( in contrast to the first series which was shot largely on location ) and several frequently used indoor sets, such as the Queen's throne room and Blackadder's front room.

Translucent Bakelite jewelry, poker chips and other gaming items such as chess sets were also introduced in the 1940s under the Prystal Corporation name, however, its basic chemical composition remained the same.

Factory-made six-string prima balalaikas with three sets of double courses are also common and popular, particularly in Ukraine.

In calculus, this picture also gives a geometric proof of the derivative if one sets and interpreting b as an infinitesimal change in a, then this picture shows the infinitesimal change in the volume of an n-dimensional hypercube, where the coefficient of the linear term ( in ) is the area of the n faces, each of dimension

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.

Specifically, a topological space is compact if, whenever a collection of open sets covers the space, some subcollection consisting only of finitely many open sets also covers the space.

It is also possible for a proper subset of an infinite set to have the same cardinality as the original set, something that cannot happen with proper subsets of finite sets.

Such word sets can also be called etymological twins, and of course they may come in groups of higher numbers, as with, for example, the words wain ( native ) wagon ( Dutch ) and vehicle ( Latin ) in English.

The concept was much improved by the Italian Roberto Valturio in 1463, who devised a boat with five sets, where the parallel cranks are all joined to a single power source by one connecting-rod, an idea also taken up by his compatriot Francesco di Giorgio.

In three other sets of cases, Hughes also authored opinions that bolstered the regulatory powers of state legislatures and administrative bodies.

Modern sets also commonly use a different color for the dots of each different end value ( one-spots might have black pips while two-spots might be green, three red, etc.

Chinese sets also introduce duplicates of some throws and divide the dominoes into two classes: military and civil.

Franklin also wrote that " the Deity sometimes interferes by his particular Providence, and sets aside the Events which would otherwise have been produc'd in the Course of Nature, or by the Free Agency of Man.

Diffraction can also be a concern in some technical applications ; it sets a fundamental limit to the resolution of a camera, telescope, or microscope.

Directed sets also give rise to direct limits in abstract algebra and ( more generally ) category theory.

The amount of water present in the soil before the precipitation also plays an important role, because it sets limits on the amount of water that can be absorbed by the soil ( and hence prevented from flowing on the surface as erosive runoff ).

Heterodyning also made radio receivers much easier to use, rendering obsolete the multitude of tuning controls on radio sets of the time.

From this point onwards Griffith certainly developed the device much further, gradually increasing the number of alternations between two, and later three, sets of parallel scenes, and also their speed.

Dill had come up also.

Just as the Negro situation points up the gradual and abrupt changes affecting Southern life, it also points up the non-representation of urbanism in Southern literature.

From his playmates in Savannah, Mercer had picked up, along with a soft Southern dialect, traces also of the Gullah dialects of Africa.

It should also make him desire to participate actively in civic, school and religious life of the community so that that phase of Newark will live up to the challenge presented by this exhibit.

The Rio Grande KC is also considering having their Junior Classes set up so that Juniors can qualify with points for Westminster.

Back at the Kaiser's Fountain, I walked left to the streetcar stop and rode up the hill -- any car will do -- past the Column of Constantine, also known as the Burnt Column, at the top on my right.

Since the sides are also covered up to the spray rails, they are also rough-sanded in that area.

`` We also do a number of things to build up the prestige of the engineer as a ' professional ' and also to give public recognition to individual technical competence.

He also bought a huge square of pegboard for hanging up his tools, and lumber for his workbench, sandpaper and glue and assorted nails, levels and T squares and plumb lines and several gadgets that he had no idea how to use or what they were for.

These observations indicate that the lunar maria heat up more rapidly and also cool off more rapidly than do the mountainous regions.

A randomization of `` ups '' and `` downs '' is more likely than ordered `` ups '' and `` downs '' in position ( 3 ) since the hydrogen atoms are well separated and so the position of one could hardly affect the position of another, and also since ordered `` up '' and `` down '' implies a larger unit cell, for which no evidence exists.

On the surface of the right kidney there were also 2 yellow, firm, friable raised areas measuring up to 2 cm. in diameter.

We are abstracting from the fact of strikes here, but it should be obvious that the extent to which the public-limit price is raised by a given increase in the basic wage rate is also a function of the show of resistance put up by the industry.

Interpretation, naturally, remains the role of the therapist, but orientation -- not only the patient's vocal giveaways of geographical and socio-economic background, but also vocal but non-verbal giveaways of danger spots in his relationship to people -- can be considerably beefed up by the linguist.

But consider also how much you and your family can keep up along with your other work.

) is for the most part a recondite affair, for manifestly, if everyone in the world who could afford the best wines also liked them, the supply would dry up in no time at all.

The Outing Club also owns a chain of fourteen cabins and several shelters, extending from the Vermont hills, just across the river from the college, through Hanover to the College Grant -- 27,000 acres of wilderness 140 miles north up in the logging country.

And men also used vacuum cleaners in both rooms, sucking dust up once more.

There was a 34 foot Wheeler with Chief Bob's in big gold letters on its stern also tied up at the dock.

After the usual Honorable Sirs, it went on to say that there had been set off to the widow one full third part of the real estate of the deceased Salu Norberg, one lower room, on the Western side, privileges to the well and bake-oven and to one third of the cellar ( I can show you the cellar when we go up ), also one Cow Right, and lastly they set off to the widow her own land that she brought with her as dower, namely the Beech Pasture.

You'd have to wait till Seaton's back from Mexico City and also while I set it up with Doris to have her have an alibi for D-night.

The Secretary of State has also solemnly repeated a warning to the Soviet Union that the United States will not stand for another setback in Berlin, an affirmation once again taken up by the council as a whole.