In1934heprovedaspecialcaseofhisconjecturenamelythataxistranscendentalifaisalgebraic(a0,1)andxisanirrationalalgebraicnumber.

In 1934 he proved a special case of his conjecture namely that ax is transcendental if a is algebraic (a 0,1) and x is an irrational algebraic number.


[Q]: [Sometypicalcomparisonoperatorsforordereddomainsinclude>,<,==,!=,etc]
[A]: [Some typical comparison operators for ordered domains include >, < , ==, !=, etc]


Problem: Add spaces: PlayforFunPlayrealmoney

Spaces added: Play for Fun Play real money


This text is missing some spaces, please add them: Similartolastyear,thenumberofhouseholdsshoppingonlinewillbearound25%.Germany,UKandtheNetherlandsarethemostdigitalsavvywhenitcomestopurchasingChristmasgiftsonline,whileCroatia,LatviaandMexicoarethemosttraditional,preferring,physicalretailfortheirChristmasshopping.
Similar to last year, the number of households shopping online will be around 25%. Germany, UK and the Netherlands are the most digital savvy when it comes to purchasing Christmas gifts online, while Croatia, Latvia and Mexico are the most traditional, preferring, physical retail for their Christmas shopping.


input question: Fix spacing: ByDecember1936shewasforcedtotakesickleavewhichwassupposedtoendinAugust1937sothatshecouldtakeupteachingagainfortheacademicyear1937-38.

output answer: By December 1936 she was forced to take sick leave which was supposed to end in August 1937 so that she could take up teaching again for the academic year 1937-38.


input question: Fix spacing: FormerEnglishCatholicsweretobepacifiedwiththisVirginMaryfeature-asymbolismalsotosomedegreecorrespondingtotheIsisroleofEgyptianqueens.

output answer:
Former English Catholics were to be pacified with this Virgin Mary feature - a symbolism also to some degree corresponding to the Isis role of Egyptian queens.