Problem: Add spaces: OnFridaylatemorningitwillbewidelycloudy,butmainlydry.

Spaces added: On Friday late morning it will be widely cloudy, but mainly dry.

Problem: Add spaces: TheCommunityandthePeople'sRepublicofChinasignatradeagreement,whichcomesintoforceonJune1.

Spaces added: The Community and the People's Republic of China sign a trade agreement, which comes into force on June 1.

Problem: Add spaces: TheReebokEasytoneStepprovidesaworkoutdvd,containingpracticalworkoutinstructions.

Spaces added: The Reebok Easytone Step provides a workout dvd, containing practical workout instructions.

Problem: Add spaces: UsingmethodsofChasles,withSchroder'slogicalcalculusasamodel,hesetupasystemtosolvesuchproblems,hecalledittheprincipalofconservationofthenumber.Hilbert,in1900,askedforaproof,whichwasgivenbySeveriin1912.

Spaces added:
Using methods of Chasles , with Schroder 's logical calculus as a model, he set up a system to solve such problems, he called it the principal of conservation of the number. Hilbert , in 1900, asked for a proof, which was given by Severi in 1912.