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Page "Catenary" ¶ 12
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application and catenary
An interesting application of this is that a square wheel could roll without bouncing on a road that is a matched series of catenary arcs.

application and construction
A typical application is furnished by the Arzelà – Ascoli theorem and in particular the Peano existence theorem, in which one is able to conclude the existence of a function with some required properties as a limiting case of some more elementary construction.
Drawing the underlying construction is a fundamental skill for representational art and is taught in many books and schools, as its correct application will resolve most uncertainties about smaller details and make the final image look self-consistent.
Electric motors may be classified by the source of electric power, by their internal construction, and by their application.
Engineering geology is the application of the geologic principles to engineering practice for the purpose of assuring that the geologic factors affecting the location, design, construction, operation and maintenance of engineering works are properly addressed.
One early application of knapsack algorithms was in the construction and scoring of tests in which the test-takers have a choice as to which questions they answer.
Meteorology has application in many diverse fields such as the military, energy production, transport, agriculture and construction.
As a discipline, project management developed from several fields of application including civil construction, engineering, and heavy defense activity.
One major mathematical application of the construction of spinors is to make possible the explicit construction of linear representations of the Lie algebras of the special orthogonal groups, and consequently spinor representations of the groups themselves.
De novo review refers to the appellate court's authority to review the trial court's conclusions on questions of the application, interpretation, and construction of law.
The two designs were the first application of the two basic transformer construction types in common use to this day which can as a class all be termed as either core form or shell form ( or alternatively, core-type or shell type ), as in a ) or b ), respectively ( see images ).
The development of CAD software for personal desktop computers was the impetus for almost universal application in all areas of construction.
Many Squeak contributors collaborate on Open Cobalt, a free and open source virtual world browser and construction toolkit application which is built on Squeak.
One such application, ccsNet, was tested in a case study funded by the Federal Transportation Administration ( FTA ) in which the efficacy of configuration management was measured through comparing the approximately 80 % complete construction of the Los Angeles County Metropolitan Transit Agency ( LACMTA ) 1st and 2nd segments of the Red Line, a $ 5. 3 billion rail construction project.
This version of the knot uses a sheepshank-like construction, in this kind of application also known as a bell ringer's knot, to form the loop.
An ABI should not be confused with an application programming interface ( API ) which defines a library of routines to call, data structures to manipulate, and / or object classes to use in the construction of an application using that particular ( often language specific ) API.
Information on high-frequency breadboarding and illustrations of dead bug with ground plane construction are in a Linear Technologies application note.
The prefect issues ordinances written for the application of local law, e. g. to close a building that does not conform to safety codes, or modify vehicular traffic regulations ( speed limit, construction permits ).
Electric motors may be classified by the source of electric power, by their internal construction, by their application, or by the type of motion they give.
Mobile ' subs ' are not very different from any other application of sub in terms of construction.
Examples of dead bug with ground plane construction are illustrated in a Linear Technologies application note.
Track construction and assembly is dictated by application.

application and arches
Such arches had been used by the Romans for retaining walls in Gaul, so this technique was not new, but its application to locks was revolutionary and was imitated in early American canals.
However, Network Rail made a successful planning application to demolish the old Railway Bonded Warehous and offices between Bermondsey Street and Weston Street to open up the mainline Station arches for new concourses and passenger circulation areas from Tooley Street into the London Bridge Station complex.
A further planning application has been submitted for the installation of artwork on one of the railway arches making up the Digbeth Viaduct.

application and is
But this truth is distorted by its extreme application: the assumption of the separate existence of tradition.
Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.
Upon receipt of an application which the Export-Import Bank is prepared to consider, the Export-Import Bank will inform the Department of Economic Affairs of the identity of the applicant, the nature of the proposed business, the amount of the proposed loan, and the general purposes for which the loan proceeds would be expended.
When the Export-Import Bank is prepared to act favorably upon an application, it will so notify the Department of Economic Affairs and will indicate the interest rate and the repayment period which would be used under the proposed loan.
Within sixty days after the receipt of notice that the Export-Import Bank is prepared to act favorably upon an application the Department of Economic Affairs will indicate to the Export-Import Bank whether or not the Department of Economic Affairs has any objection to the proposed loan.
In this article we will concentrate on the advances in the application of electronics in bio-medical research laboratories because this is where tomorrow's commonplace equipment originates.
The best known field of application for builders is in heavy-duty, spray-dried detergent formulations for household use.
Hard-surface cleaning in household application is represented by two classes of alkaline products: ( 1 ) the formulations made expressly for machine dishwashers, and ( 2 ) the general-purpose cleaners used for walls and woodwork.
In a typical application -- the making of rigid urethane foam sandwich panels -- an amount of foam mixture calculated to expand 10 to 20% more than the volume of the panel is poured into the panel void and the top of the panel is locked in place by a jig.
Senator McClellan is proposing the application of anti-trust measures to unions in transportation.
In 2009, the American Anthropological Association's Commission on the Engagement of Anthropology with the US Security and Intelligence Communities released its final report concluding, in part, that, " When ethnographic investigation is determined by military missions, not subject to external review, where data collection occurs in the context of war, integrated into the goals of counterinsurgency, and in a potentially coercive environment – all characteristic factors of the HTS concept and its application – it can no longer be considered a legitimate professional exercise of anthropology.
In the typical application of ANOVA, the null hypothesis is that all
application of the method is best determined by problem pattern recognition
* One-way ANOVA is used to test for differences among two or more independent groups ( means ), e. g. different levels of urea application in a crop.
This is usually done on the basis that the lower court judge erred in the application of law, but it may also be possible to appeal on the basis of court misconduct, or that a finding of fact was entirely unreasonable to make on the evidence.
A common application of the compounds of sodium is the sodium-vapour lamp, which emits very efficient light.
* To obtain a declaration on a legal document, such as an application for voter registration, that the information provided by the applicant is truthful to the best of the applicant's knowledge.
An emerging application is the use of antimony in microelectronics.
The most stable of these is < sup > 124 </ sup > Sb with a half-life of 60. 20 days, which has an application in some neutron sources.
The second longest-lived isotope of astatine, astatine-211, is the only one currently having any commercial application, being employed in medicine to diagnose and treat some diseases via its emission of alpha particles ( helium-4 nuclei ).
In computing, an applet is any small application that performs one specific task that runs within the scope of a larger program, often as a plug-in.
Provided that an applet is hosted by an operating system, it can function as any other normal software application but is and performs only a small set of tasks.
The Department of Justice has published " ADA 2010 Revised Requirements: Accessible Pools-Means of Entry and Exit ", which is designed to assist pool owners and operators with understanding the new accessibility requirements, the application of the requirements and the longstanding obligations of pool owners and operators in connection with the new requirements.

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