Question: You may increase its width or make it narrower
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Answer: You may increase its width or make it narrower.

Question: Mass youth unemployment has left them in a difficult position and many young people have left for richer countries in search of a better future
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Answer: Mass youth unemployment has left them in a difficult position, and many young people have left for richer countries in search of a better future.

Question: for his groundbreaking work on singular integral operators leading to their application to important problems in partial differential equations including his proof of uniqueness in the Cauchy problem the Atiyah Singer index theorem and the propagation of singularities in nonlinear equations
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Answer: ... for his ground-breaking work on singular integral operators leading to their application to important problems in partial differential equations, including his proof of uniqueness in the Cauchy problem, the Atiyah -Singer index theorem, and the propagation of singularities in nonlinear equations...

Question: You acknowledge and agree that all intellectual property rights including but not limited to copyright patents knowhow confidential information database rights and rights in trademarks and designs whether registered or unregistered in the Site are vested in GARDENA or its licensors
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Answer:
You acknowledge and agree that all intellectual property rights (including, but not limited to, copyright, patents, know-how, confidential information, database rights, and rights in trademarks and designs whether registered or unregistered) in the Site are vested in GARDENA or its licensors.