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Page "Equivalence class" ¶ 13
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same and construction
Since the same method of shaping and fitting the dogs and notches is used throughout, we will only describe the construction of one locking bar.
At the same time further expansion in the Red Bridge Subdivision required the construction of additional sewage treatment facilities.
Board members indicated Monday night this would be done by an advisory poll to be taken on Nov. 15, the same date as a $581,000 bond election for the construction of three new elementary schools.
The use of a casemate instead of a gun turret limited these weapons field of fire, but allowed a larger gun to be fitted relative to the chassis, more armour to be fitted for the same weight, and provided a cheaper construction.
Restoration and the construction of a main entrance to all museums, as well as the reconstruction of the Stadtschloss on the same island is costing over 2 billion Euros since reunification.
A spin-off, " People's Park Annex ," was established at the same time by activist citizens of Berkeley on a strip of land above the Bay Area Rapid Transit subway construction along Hearst Avenue northwest of the U. C.
By the same construction, every locally compact Hausdorff space X is a dense subspace of a compact Hausdorff space having at most one point more than X ..
Their ability to coexist with freight or intercity services in the same right-of-way can drastically reduce system construction costs.
It allows the superstructure to be constructed at the same time as the basement, thereby removing time consuming basement construction period from the critical path.
The same type of construction works in the general case of congruence equations.
If these three home construction projects were measured with the same PV valuations, the relative schedule performance of the projects can be easily compared.
Cantor's next article contains a construction that proves the set of transcendental numbers has the same " power " ( see below ) as the set of real numbers .< ref > Cantor's construction starts with the set of transcendentals T and removes a countable subset
That same year construction of the line began.
The method he used was almost exactly the same as that used by John Metcalf during his construction of many miles of road through marshes in the Pennines.
This same construction may be carried out if the A < sub > i </ sub >' s are sets, rings, modules ( over a fixed ring ), algebras ( over a fixed field ), etc., and the homomorphisms are homomorphisms in the corresponding category.
The construction of modern ice skates has stayed largely the same since then.
With amplification, logic gates can be cascaded in the same way that Boolean functions can be composed, allowing the construction of a physical model of all of Boolean logic, and therefore, all of the algorithms and mathematics that can be described with Boolean logic.
The discovery of atomic triads ( dealing with elements primarily in the same group or column of the periodic table ) was considered a form of numerology, and yet ultimately led to the construction of the periodic table.
At the same time, a bypass shortened the Nordschleife to, and with an additional small pit lane, this version was used for races in 1983, e. g. the 1000km Nürburgring endurance race, while construction work was going on nearby.
Note that with this construction multiple preorders "" can give the same relation "<", so without more information, such as the equivalence relation, "" cannot be reconstructed from "<".
The new U-Bahn station was being built at the same time as the hotel and actually ran through the hotel's basement, cutting it in half, thus making the construction of both into something of a technical challenge, but unlike the Wertheim department store ( and contrary to several sources ), the hotel did not enjoy a separate entrance directly from the station.
This position often sees the human mind as mostly a biological construction, so that all humans sharing the same neurological configuration can be expected to have similar or identical basic cognitive patterns.
During this same 10th century and in the first years of the 11th century Viking riders tried to assault it — Galicia is known in the Nordic sagas as Jackobsland or Gallizaland — and bishop Sisenand II, who was killed in battle against them in 968, ordered the construction of a walled fortress to protect the sacred place.

same and can
The stink is all the same to me, but I really think they can make one another out blindfolded ''.
Certainly all can applaud passage of an auto title law, the school bills, the increase in teacher pensions, the ban on drag racing, acceptance by the state of responsibility for maintenance of state roads in municipalities at the same rate as outside city limits, repeal of the college age limit law and the road maintenance bond issue.
The same can be said about the half-hearted Cuban invasion mounted by the administration last April, which, we trust, is not symptomatic of the methods to be invoked in holding off the felonious Khrushchev.
The mother of a difficult child can do a great deal to help her own child and often, by sharing her experiences, she can help other mothers with the same problem.
The same can be said of shaving yet the electric razor has proved useful to many men.
We can expect more of the same.
But during nighttime hours the skywave radiations are reflected from the ionosphere, thereby creating the possibility of one station's rendering service, via skywave, at a much greater distance than it can through its groundwave signal, and at the same time vastly complicating the interference problem because of the still greater distance over which these skywave signals may cause interference to the signals of stations on the same and closely adjacent frequencies.
Because the bobbin-to-cone winding process is a relatively high-cost operation for the mill, the almost complete automation provided by the Uniconer can mean important economies in textile production, at the same time upgrading quality.
Number all the tappet bars before removing them so they can be replaced in the same slots.
You can get year-'round air conditioners in the same variety of styles in which you buy a furnace alone -- high or low boy, horizontal or counterflow.
But now many of these same builders are finding they can cut their costs more by teaming up with a dealer who has volume enough to afford the most efficient specialized equipment to deliver everything just where it is needed -- drywall inside the house, siding along the sides, trusses on the walls, roofing on the roof, etc..
As you can count on me to do the same.
This iodoprotein does not appear to be the same as what is normally present in the thyroid, and there is no evidence so far that thyroglobulin can be iodinated in vitro by cell-free systems.
Whereas a high percentage of the regular students can be expected to read other texts which more or less plow the same ground in a little different direction, the married students chose whole books on specific areas and went into much greater detail in their areas of interest.
In the new situation, philosophy is able to provide the social sciences with the same guidance that mathematics offers the physical sciences, a reservoir of logical relations that can be used in framing hypotheses having explanatory and predictive value.
And if we can see that what we meant to say remains the same, while the feeling varies from intensity to near zero, it is not the feeling that we primarily meant to express.
The same conclusions can be drawn from the other physical evidence of the Dark ages, from linguistic distribution, and from the survivals of early social, political, and religious patterns into later ages.
And the same thing, more or less, can be said of the contents of Picasso's first collage.
In later collages of both masters, a variety of extraneous materials are used, sometimes in the same work, and almost always in conjunction with every other eye-deceiving and eye-undeceiving device they can think of.
One can make them say the same thing only by not listening to them very carefully and hearing only what one wants to hear.
It should be recalled that these three mechanisms can occur on the same coating deposited upon the same substrate merely as a function of changes in coatings thickness.
Merchant has found that the same basic relationships which describe the geometry and force systems in the case of the cutting mechanism can also be applied to the discontinuous chip formation provided the proper values of instantaneous shear angle and instantaneous chip thickness or cross-sectional area are used.

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