Consider the late Steve Jobs (whose Syrian father came to the U.S. for his doctoral studies) and Russian-born Sergey Brin, co-founder of Google.

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Robert Robins, a retired Tulane University political science professor that studies disabled leaders, sees parallels between the dearth of disclosures regarding Mr. Page and Apple's Mr. Jobs.

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Both campaigns know it, but that does not make their jobs easy, according to the Pew Center's John Greene, who studies the intersection of religion and politics.

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