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Page "Topological group" ¶ 14
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Examples and topological
Examples of topological solitons include the screw dislocation in a crystalline lattice, the Dirac string and the magnetic monopole in electromagnetism, the Skyrmion and the Wess – Zumino – Witten model in quantum field theory, and cosmic strings and domain walls in cosmology.
Examples are homomorphisms, which preserve algebraic structures ; homeomorphisms, which preserve topological structures ; and diffeomorphisms, which preserve differential structures.
Examples include the direct sum of abelian groups, the direct sum of modules, the direct sum of rings, the direct sum of matrices, and the direct sum of topological spaces.
Examples of large exotic R < sup > 4 </ sup > s can be constructed using the fact that compact 4 manifolds can often be split as a topological sum ( by Freedman's work ), but cannot be split as a smooth sum ( by Donaldson's work ).

Examples and groups
Examples of such professional groups include The House Jacks, Rockapella, Mosaic, and M-pact.
Examples of such groups are Take 6, Glad and Acappella.
Examples are the product of sets ( see Cartesian product ), groups ( described below ), the product of rings and of other algebraic structures.
Examples include the class of all groups, the class of all vector spaces, and many others.
Examples of groups among the heterocyclics are the aniline dyes, the great majority of the compounds discussed in biochemistry such as alkaloids, many compounds related to vitamins, steroids, nucleic acids ( e. g. DNA, RNA ) and also numerous medicines.
Examples of well-known paraphyletic groups include:
Examples of these groups include medical associations, scientific societies, autograph club and bar associations.
Examples of groups that are entirely or mainly restricted to the Neotropical region include
Examples of these groups include: in Amsterdam, the Provos ; in the UK, King Mob, the producers of Heatwave magazine ( who later briefly joined the SI ), and the Angry Brigade.
Examples of interest groups include political lobbyists, the military, and the corporate sector.
Examples include the Clovis culture and Folsom tradition groups.
Examples of a perennialist interpretation of ethnicity are also found in Barth, and Seidner who see ethnicity as ever-changing boundaries between groups of people established through ongoing social negotiation and interaction.
Examples of the groups commercial tie-ins include " and I love you ", " Bokura no Oto ", and " Tagatame " for Nissin Cup Noodle no Border commercials, ' Gift ' for the 2008 Beijing Olympics on NHK, and " Tabidachi no uta " for the 2007 Japanese movie.
Examples include multigenerational music groups, or programs bringing " bookend generations " ( elders and preschoolers ) together in intergenerational daycare centers where the elderly mentor the young.
Examples of groups include religious, political, military, and environmental groups, sports teams, work groups, and therapy groups.
Examples include amino acids and proteins, which have amine and carboxylic acid groups, and self-ionizable compounds such as water and ammonia.
Examples of such groups may include indigenous peoples, ethnic minorities, women, children and the disabled.
" Examples included two UK groupsthe country-tinged pop band Boothill Foot Tappers and the tongue-in-cheek New Wave outfit Yip Yip Coyote — and several U. S. bands: X, The Blasters, Meat Puppets, Rubber Rodeo ( which ironically " juxtaposed countrypolitan elements and more conventional rock postures " in homage to " a pop-culture west rather than a geographic or historic one "), Rank and File ( playing " an updated version of 1960s country-rock "), Jason and the Scorchers ( with " authentically deep country roots "), and Violent Femmes ( at that time incorporating " mountain banjo, wheezing saxophones, scraping fiddle, twanging jew's harp, and ragged vocal choruses ").
Examples of the education an advocacy group can provide include: Educate local bicycle riders, property managers, and other user groups on the proper development of trails, and on the International Mountain Bicycling Association's rules of the Trail.
Examples of good leaving groups are therefore the halides ( except fluoride ) and tosylate, whereas HO < sup >-</ sup > and H < sub > 2 </ sub > N < sup >-</ sup > are not.

Examples and are
Examples are in public utilities, making military aircraft and accessories, or where the investment and risk for a proprietorship would be too great for a much needed project impossible to achieve by any means other than the corporate form, e.g. constructing major airports or dams.
Examples of such situations are ( aerial ) night reconnaissance, the recording of radioactive tracers in live body tissues, special radiography in medical or industrial applications, track recording of high energy particles, etc..
Examples of applied anthropology are ubiquitous.
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 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 are parsley ( Petroselinum crispum ), coriander ( Coriandrum sativum ), and dill ( Anethum graveolens ).
Examples among the Egyptian monks of this submission to the commands of the superiors, exalted into a virtue by those who regarded the entire crushing of the individual will as a goal, are detailed by Cassian and others, e. g. a monk watering a dry stick, day after day, for months, or endeavoring to remove a huge rock immensely exceeding his powers.
Examples of algebraic integers are,, and ( Note, therefore, that the algebraic integers constitute a proper superset of the integers, as the latter are the roots of monic polynomials for all
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 applications often classified as applets are all of the accessories bundled in Microsoft Windows ( such as Windows Notepad or Microsoft Paint ).
Examples of non-benzene compounds with aromatic properties are furan, a heterocyclic compound with a five-membered ring that includes an oxygen atom, and pyridine, a heterocyclic compound with a six-membered ring containing one nitrogen atom.
Examples of benzene compounds with just one substituent are phenol, which carries a hydroxyl group, and toluene with a methyl group.
Examples from the nineteenth century are the transposition of " Horatio Nelson " into " Honor est a Nilo " ( Latin = Honor is from the Nile ); and of " Florence Nightingale " into " Flit on, cheering angel ".
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 of pre-historic art are rare.
Examples are the local anesthetic and stimulant cocaine ; the psychedelic psilocin ; the stimulant caffeine ; nicotine ; the analgesic morphine ; the antibacterial berberine ; the anticancer compound vincristine ; the antihypertension agent reserpine ; the cholinomimeric galatamine ; the spasmolysis agent atropine ; the vasodilator vincamine ; the anti-arhythmia compound quinidine ; the anti-asthma therapeutic ephedrine ; and the antimalarial drug quinine.
Examples of thermosetting adhesives are: epoxy, polyurethane, cyanoacrylate and acrylic polymers.
Examples of hardware noise reduction are the use of shielded cable, analog filtering, and signal modulation.
Examples of software noise reduction are digital filtering, ensemble average, boxcar average, and correlation methods.
Examples of rapidly expanding fields in this area are:
Examples of addition reactions are hydrohalogenation, halogenation, halohydrin formation, oxymercuration, hydroboration, dichlorocarbene addition, Simmons-Smith reaction, catalytic hydrogenation, epoxidation, radical polymerization and hydroxylation.
Examples are the Sushruta Samhita written in the 3rd or 4th century CE, which recommends beef for certain patients and for pregnant women, and the Charaka Samhita which describes meat as superior to all other kinds of food for convalescents.

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