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Page "Euclidean division" ¶ 51
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Examples and Euclidean
Examples of Euclidean domains include:
Examples include the decision problem forms of finding the greatest common divisor of two numbers, and determining what answer the extended Euclidean algorithm would return when given two numbers.
Examples of infinite Coxeter groups include the triangle groups corresponding to regular tessellations of the Euclidean plane and the hyperbolic plane, and the Weyl groups of infinite-dimensional Kac – Moody algebras.
Examples of impossible problems include the following constructions in Euclidean geometry using only compass and straightedge:

Examples and domains
Examples of integral domains that are not PIDs:
Examples are the C-terminal SH3 domains of adaptor proteins like Grb2 and Mona ( a. k. a. Gads, Grap2, Grf40, GrpL etc .).

Examples and include
Examples of such courts include the New Jersey Court of Errors and Appeals ( which existed from 1844 to 1947 ), the Connecticut Supreme Court of Errors ( which has been renamed the Connecticut Supreme Court ), the Kentucky Court of Errors ( renamed the Kentucky Supreme Court ), and the Mississippi High Court of Errors and Appeals ( since renamed the Supreme Court of Mississippi ).
Examples include Web accessibility a set of guidelines and two accessible web portals designed for people developing reading skills are peepo. com — try typing a letter with your keyboard for more — and peepo. co. uk with enhanced graphics, unique style controls and improved interactivity ( requires an SVG supported browser ).
Examples of assistive technology for visually impairment include the Canadian currency tactile feature, which a system of raised dots in one corner, based on Braille cells but not standard Braille.
Examples of ATC include: NeuroPage which prompt users about meetings, Wakamaru, which provides companionship and reminds users to take medicine and calls for help if something is wrong, and telephone Reassurance systems.
Examples include alcohols and amines which contain O-H or N-H fragments.
Examples of Lewis acids include all metal cations, and electron-deficient molecules such as boron trifluoride and aluminium trichloride.
Examples of present-day abjads are the Arabic and Hebrew scripts ; true alphabets include Latin, Cyrillic, and Korean hangul ; and abugidas are used to write Tigrinya, Amharic, Hindi, and Thai.
Examples of true annuals include corn, wheat, rice, lettuce, peas, watermelon, beans, zinnia and marigold.
Examples of this type of communication include radio and traditional television programs such as the news.
Examples of category-theoretic statements which require choice include:
Examples of other diseases of the motor neuron that should not be confused with MND include spinobulbar muscular atrophy, spinal muscular atrophy, Charcot-Marie-Tooth disease, and many others.
Examples include optic ataxia ( lack of coordination between visual inputs and hand movements, resulting in inability to reach and grab objects.
Examples include one presented to Warner in 1904, another to Australian Captain M. A.
Examples include materials such as brass, pewter, phosphor bronze and amalgam.
Examples of substitutional alloys include bronze and brass, in which some of the copper atoms are substituted with either tin or zinc atoms.
Examples of Web-based Applets include:
Examples include lanthionine, 2-aminoisobutyric acid, dehydroalanine, and the neurotransmitter gamma-aminobutyric acid.
Examples include electron-transfer.
Examples of journeys to the realm include " Thomas the Rhymer " and the fairy tale " Childe Rowland ", the latter being a particularly negative view of the land.
Examples include the past tense and the plural morphemes.
Examples of allotropes include:
Examples include red-green color blindness and Fragile X syndrome.
Examples of prayer which are unique to Luke include Jesus's prayers at the time of his baptism (), his praying all night before choosing the twelve (), and praying for the transfiguration ().
Examples include the U. S. M901 ITV ( Improved TOW Vehicle ) and the Norwegian NM142, both on an M113 chassis, several Soviet ATGM launchers based on the BRDM reconnaissance car, the British FV438 Swingfire and FV102 Striker and the German Raketenjagdpanzer series built on the chassis of the HS 30 and Marder IFV.
Examples of pre-packed American meals include various casserole type dishes such as Hamburger Helper, as well as bakeable and microwaveable foods such as Hot Pockets, frozen pizzas, frozen burritos, and various types of TV dinner meals.

Examples and fields
Examples of rapidly expanding fields in this area are:
Examples of early results from model theory applied to fields are Tarski's elimination of quantifiers for real closed fields, Ax's theorem on pseudo-finite fields, and Robinson's development of non-standard analysis.
Examples of ordered fields are:
Examples of the use of the petabyte to describe data sizes in different fields are:
Examples of the use of terabyte to describe data sizes in different fields are:
Examples of isochronous cyclotrons abound ; in fact almost all modern cyclotrons use azimuthally-varying fields.
Examples of random fields include static images, random terrain ( landscapes ), wind waves or composition variations of a heterogeneous material.
Examples include wheat fields or apple orchards or grape vineyards.
Examples of transverse waves include seismic S ( secondary ) waves, and the motion of the electric ( E ) and magnetic ( M ) fields in an electromagnetic plane wave, which both oscillate perpendicularly to each other as well as to the direction of energy transfer.
Examples used in physics include the temperature distribution throughout space, the pressure distribution in a fluid, and spin-zero quantum fields, such as the Higgs field.
Examples for orthographic transcription systems ( all from the field of conversation analysis or related fields ) are:
Examples of these are static force fields, such as a simple electric or magnetic field, or the components of any field that do not carry information from place to place at the speed of light ( information radiated by means of a field must be composed of real particles ).
Examples of such fields include fly-by-wire aircraft control systems, chemical plants, and oil refineries.
Examples would include the inspection of transformers atop power transmission lines and slow, low-level flight over agricultural fields, both of which can be accomplished by a large-scale radio controlled helicopter.
Examples of image analysis techniques in different fields include:
Examples of graphical modeling languages in other fields of science.
Examples of the dynamic fields of electromagnetic radiation ( in order of increasing frequency ): radio waves, microwaves, light ( infrared, visible light and ultraviolet ), x-rays and gamma rays.
Examples include Julian Oliver's ioq3apaint, a generative painting system that uses the actions of software agents in combat to drive the painting process, Alison Mealy's UnrealArt which takes the movements of game entities and uses them to control a drawing process in an external program, and RetroYou's R / C Racer a modification of the graphic elements of a racing game which results in rich fields of colour and shape.
Examples of potential and gradient fields in physicsScalar fields ( scalar potentials ) (< span style =" color: yellow "> yellow </ span >): V < sub > G </ sub >-gravitational potential ; W < sub > pot </ sub >-potential energy ; V < sub > C </ sub >-Coulomb potential ; Vector fields ( gradient fields ) (< span style =" color: cyan "> cyan </ span >): a < sub > G </ sub >-gravitational acceleration ; F-force ; E-electric field strength
Examples of types are mathematical structures ( such as rings, fields, polynomials ) as well as data structures from computer science ( e. g., lists, trees, hash tables ).

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