input question: Fix spacing: ThisbookbyWeilshowsthatEisenstein'sapproachisofmajorimportancetothemathematicswhichisbeingdevelopedtoday,agreattributetoageniuswhodied150yearsago.

output answer: This book by Weil shows that Eisenstein's approach is of major importance to the mathematics which is being developed today, a great tribute to a genius who died 150 years ago.
Problem: TheCentralLimitTheoremsaysroughlythatthemoreindependentinfluencesonavariablethecloseritsdistributionistoanormaldistribution.
What's a sentence that uses these characters?
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The Central Limit Theorem says roughly that the more independent influences on a variable the closer its distribution is to a normal distribution.
Add spaces: Theinternationaljury'sdecisiontoawardBIG'sentryfirstplaceinthecompetitionwasunanimousandwaspresidedbythevicemayorTaaviAas.

Answer: The international jury's decision to award BIG's entry first place in the competition was unanimous and was presided by the vice mayor Taavi Aas.
appearsintheMusicmenubarifyou'reamemberofAppleMusic.Browseplaylists.

appears in the Music menu bar if you're a member of Apple Music. Browse playlists.
[Q]: [Theresultisthankfulness,singing,andjoy(Ephesians5:18-20;Colossians3:16).]
[A]: [The result is thankfulness, singing, and joy (Ephesians 5:18-20; Colossians 3:16).]
Problem: Add spaces: Takeadeepbreath,relaxandgathernewstrength:ARBURGwishesitscustomersandpartnersarestfulholiday!Afterwards,therewillbenewopportunitiestogainfreshideasforefficientplasticsproduction,forexamplefromARBURGattheFakuma2015(HallA3,Stand3101).

Spaces added:
Take a deep breath, relax and gather new strength: ARBURG wishes its customers and partners a restful holiday! Afterwards, there will be new opportunities to gain fresh ideas for efficient plastics production, for example from ARBURG at the Fakuma 2015 (Hall A3, Stand 3101).