This text is missing some spaces, please add them: AboutX2261:redcrystalandcoloredglazenecklacewithextendablechain
About X2261 : red crystal and colored glaze necklace with extendable chain


input question: Fix spacing: ThemathematicalseminarinBerlinhadbeenjointlyfoundedin1861byKummerandWeierstrassand,whenKummerretiredin1883,Kroneckerbecameacodirectoroftheseminar.

output answer: The mathematical seminar in Berlin had been jointly founded in 1861 by Kummer and Weierstrass and, when Kummer retired in 1883, Kronecker became a codirector of the seminar.


Problem: ThefirstcoverselementarypropertiesofLiegroups,thesecondcoversthegeneraltheoryofmeasuresonalocallycompactgroupandrepresentationingeneral,whilethefinalpartcontainsaconstructionofthecontinuoussumofHilbertspaces,decompositionofaunitaryrepresentationintoacontinuoussumofirreduciblerepresentationsandthePlancherelformula.
What's a sentence that uses these characters?
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The first covers elementary properties of Lie groups, the second covers the general theory of measures on a locally compact group and representation in general, while the final part contains a construction of the continuous sum of Hilbert spaces, decomposition of a unitary representation into a continuous sum of irreducible representations and the Plancherel formula.


Add spaces: RichardDarstpostedafinancialreportforDebConf11.Approximatenumbershadbeenknownsincelastyear,butRichardcheckedalltransactionsagainstSPIandFFISrecordstoconfirmthat,thankstothesupportoftheRepublikaSrpskagovernment,theconferencegeneratedasurplusforDebianofaround€20,000.

Answer: Richard Darst posted a financial report for DebConf11. Approximate numbers had been known since last year, but Richard checked all transactions against SPI and FFIS records to confirm that, thanks to the support of the Republika Srpska government, the conference generated a surplus for Debian of around €20,000.


ThemesareamongotherstransgressioninHamsun'sworks,HamsuninworldliteratureandHamsun'sworksadaptedfortheatre,filmandothermedia.TheconferencewillbeopenedbyLarsSaabyeChristensenandHamsunscientistsfromNorwayandfromabroadareparticipating.Therewillbeplenarylecturesandparallelsessions.

Themes are among others transgression in Hamsun's works, Hamsun in world literature and Hamsun's works adapted for theatre, film and other media. The conference will be opened by Lars Saabye Christensen and Hamsun scientists from Norway and from abroad are participating. There will be plenary lectures and parallel sessions.


Add spaces: Theunitondefinedmassmoftheparticleisgivenby:

Answer:
The uniton defined mass m of the particle is given by: